%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM473+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.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 02:24:58 PM UTC 2026
% Result : Theorem 117.52s 45.93s
% Output : CNFRefutation 228.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 36
% Syntax : Number of formulae : 5146 ( 452 unt; 0 def)
% Number of atoms : 23685 (7392 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 33669 (15130 ~;18389 |; 101 &)
% ( 9 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 7385 ( 0 sgn7375 !; 10 ?;7077 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtpldt0(X0,X1) = sz00
=> ( X1 = sz00
& X0 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X1 = sz00
| X0 = sz00 ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mMonMul) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDivSum) ).
fof(f34,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
fof(f35,axiom,
( doDivides0(xl,sdtpldt0(xm,xn))
& doDivides0(xl,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324_04) ).
fof(f36,axiom,
xl != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1347) ).
fof(f37,axiom,
xp = sdtsldt0(xm,xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1360) ).
fof(f38,axiom,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1379) ).
fof(f39,axiom,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1409) ).
fof(f40,conjecture,
sdtlseqdt0(xp,xq),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f41,negated_conjecture,
~ sdtlseqdt0(xp,xq),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f42,plain,
~ sdtlseqdt0(xp,xq),
inference(flattening,[],[f41]) ).
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,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f66,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f68,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(flattening,[],[f67]) ).
fof(f69,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(f70,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,[],[f69]) ).
fof(f71,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f72,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f71]) ).
fof(f73,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(f74,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,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f76,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(f77,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,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f79,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f83,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1] :
( ~ 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(f92,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,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ( sdtpldt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f92]) ).
fof(f94,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,[],[f66]) ).
fof(f95,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,[],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ( sdtasdt0(X0,sK1(X0,X1)) = X1
& aNaturalNumber0(sK1(X0,X1)) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f95]) ).
fof(f97,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,[],[f77]) ).
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(flattening,[],[f97]) ).
fof(f99,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f100,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f101,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f102,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f35]) ).
fof(f103,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f35]) ).
fof(f104,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f105,plain,
xp = sdtsldt0(xm,xl),
inference(cnf_transformation,[],[f37]) ).
fof(f106,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(cnf_transformation,[],[f38]) ).
fof(f107,plain,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f39]) ).
fof(f108,plain,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f42]) ).
fof(f109,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(f111,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(f113,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f93]) ).
fof(f114,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sK0(X0,X1)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f116,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f117,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f49]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f51]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f51]) ).
fof(f120,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(f121,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(f122,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f123,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f124,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(f125,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f126,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f129,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK1(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f96]) ).
fof(f130,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| aNaturalNumber0(sK1(X0,X1)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f132,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f133,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,[],[f70]) ).
fof(f135,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,[],[f70]) ).
fof(f137,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f72]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f74]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f74]) ).
fof(f140,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f141,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f75]) ).
fof(f142,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| sdtasdt0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f98]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f145,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,[],[f98]) ).
fof(f146,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f149,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f150,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f152,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f153,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f154,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f115]) ).
fof(f155,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f131]) ).
fof(f156,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,[],[f145]) ).
fof(f157,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f144]) ).
fof(f158,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f143]) ).
tcf(c_49,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f101]) ).
tcf(c_50,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f100]) ).
tcf(c_51,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f99]) ).
tcf(c_52,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f103]) ).
tcf(c_53,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f102]) ).
tcf(c_54,plain,
xl != sz00,
inference(cnf_transformation,[],[f104]) ).
tcf(c_55,plain,
sdtsldt0(xm,xl) = xp,
inference(cnf_transformation,[],[f105]) ).
tcf(c_56,plain,
sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
inference(cnf_transformation,[],[f106]) ).
tcf(c_57,plain,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f107]) ).
tcf(c_58,negated_conjecture,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f108]) ).
tcf(c_60,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,[],[f111]) ).
tcf(c_62,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,[],[f109]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2) ) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X2,X1) ) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(X2,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(X2,X0),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_72,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_73,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(X1,sdtpldt0(X2,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_77,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,[],[f127]) ).
tcf(c_78,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,[],[f128]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK1(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK1(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_84,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,[],[f135]) ).
tcf(c_86,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,[],[f133]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_88,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,[],[f139]) ).
tcf(c_89,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,[],[f138]) ).
tcf(c_90,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_91,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_92,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f142]) ).
tcf(c_93,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,[],[f156]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_98,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,[],[f148]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_100,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(X1,sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_79,c_103,c_79]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_76,c_63]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_93,c_103,c_93,c_133]) ).
tcf(c_1536,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_1538,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2362,plain,
sdtpldt0(xl,sz00) = xl,
inference(superposition,[status(thm)],[c_49,c_72]) ).
tcf(c_2363,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_50,c_72]) ).
tcf(c_2365,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_92,c_72]) ).
tcf(c_2370,plain,
sdtpldt0(sz00,xl) = xl,
inference(superposition,[status(thm)],[c_49,c_73]) ).
tcf(c_2371,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_50,c_73]) ).
tcf(c_2372,plain,
sdtpldt0(sz00,xn) = xn,
inference(superposition,[status(thm)],[c_51,c_73]) ).
tcf(c_2378,plain,
sdtasdt0(xl,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_90]) ).
tcf(c_2379,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_90]) ).
tcf(c_2380,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_90]) ).
tcf(c_2386,plain,
sdtasdt0(sz00,xl) = sz00,
inference(superposition,[status(thm)],[c_49,c_91]) ).
tcf(c_2387,plain,
sdtasdt0(sz00,xm) = sz00,
inference(superposition,[status(thm)],[c_50,c_91]) ).
tcf(c_2501,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_97,c_58]) ).
tcf(c_2547,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_75]) ).
tcf(c_2655,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xp,xq)
| ~ sdtlseqdt0(X0,X1)
| ( xq != X1 )
| ( xp != X0 ) ),
inference(instantiation,[status(thm)],[c_1543]) ).
tcf(c_2802,plain,
! [X0: $i,X1: $i] :
( ( xp = X0 )
| ( xp != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_1538]) ).
tcf(c_2805,plain,
xp = xp,
inference(instantiation,[status(thm)],[c_1536]) ).
tcf(c_2905,plain,
( ( sdtpldt0(xm,sK0(xm,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_57,c_65]) ).
tcf(c_2908,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_65]) ).
tcf(c_2918,plain,
( ( sdtpldt0(xq,sK0(xq,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_2501,c_65]) ).
tcf(c_2947,plain,
( ( sdtpldt0(xm,sK0(xm,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2905,c_50]) ).
tcf(c_3020,plain,
( ( sdtasdt0(xl,sK1(xl,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_81]) ).
tcf(c_3035,plain,
( ( sdtasdt0(xl,sK1(xl,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3020,c_49]) ).
tcf(c_3053,plain,
( aNaturalNumber0(xp)
| ( xl = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,xm) ),
inference(superposition,[status(thm)],[c_55,c_94]) ).
tcf(c_3054,plain,
( aNaturalNumber0(xq)
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ doDivides0(xl,sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_56,c_94]) ).
tcf(c_3062,plain,
aNaturalNumber0(xp),
inference(forward_subsumption_resolution,[status(thm)],[c_3053,c_54,c_50,c_49,c_52]) ).
tcf(c_3063,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3054,c_54,c_49,c_53]) ).
tcf(c_3116,plain,
( ( sdtpldt0(xm,xn) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xn),xm) ),
inference(superposition,[status(thm)],[c_57,c_99]) ).
tcf(c_3119,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_82,c_99]) ).
tcf(c_3148,plain,
( ( sdtpldt0(xm,xn) = xm )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xn),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3116,c_50]) ).
tcf(c_3376,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_78]) ).
tcf(c_3413,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3376,c_49]) ).
tcf(c_3452,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_57,c_98]) ).
tcf(c_3455,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_82,c_98]) ).
tcf(c_3512,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3452,c_50]) ).
tcf(c_3676,plain,
! [X0: $i] :
( sdtlseqdt0(xp,xq)
| ~ sdtlseqdt0(X0,xq)
| ( xq != xq )
| ( xp != X0 ) ),
inference(instantiation,[status(thm)],[c_2655]) ).
tcf(c_3677,plain,
xq = xq,
inference(instantiation,[status(thm)],[c_1536]) ).
tcf(c_3678,plain,
( sdtlseqdt0(xp,xq)
| ~ sdtlseqdt0(sz00,xq)
| ( xq != xq )
| ( xp != sz00 ) ),
inference(instantiation,[status(thm)],[c_3676]) ).
tcf(c_3747,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_76,c_3063]) ).
tcf(c_3748,plain,
aNaturalNumber0(xq),
inference(forward_subsumption_resolution,[status(thm)],[c_3747,c_51,c_50]) ).
tcf(c_3758,plain,
sdtpldt0(sz00,xq) = xq,
inference(superposition,[status(thm)],[c_3748,c_73]) ).
tcf(c_4188,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != xl ) ),
inference(superposition,[status(thm)],[c_2362,c_68]) ).
tcf(c_4236,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4188,c_92,c_49]) ).
tcf(c_4533,plain,
( sdtlseqdt0(sz00,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_3758,c_136]) ).
tcf(c_4537,plain,
sdtlseqdt0(sz00,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_4533,c_3748,c_92]) ).
tcf(c_4956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( doDivides0(X3,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_78]) ).
tcf(c_4957,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X2,sK1(X2,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_81]) ).
tcf(c_5052,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_5072,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(xm,xl)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_52,c_95]) ).
tcf(c_5073,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl)) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_95]) ).
tcf(c_5074,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_77,c_95]) ).
tcf(c_5097,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(light_normalisation,[status(thm)],[c_5072,c_55]) ).
tcf(c_5098,plain,
sdtasdt0(xl,xp) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_5097,c_54,c_50,c_49]) ).
tcf(c_5099,plain,
( ( xl = sz00 )
| ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(light_normalisation,[status(thm)],[c_5073,c_56]) ).
tcf(c_5100,plain,
( ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5099,c_54,c_49]) ).
tcf(c_5232,plain,
! [X0: $i] :
( aNaturalNumber0(sdtpldt0(xl,X0))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_5715,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2363,c_60]) ).
tcf(c_5751,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_60,c_99]) ).
tcf(c_5752,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))) = sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_65]) ).
tcf(c_5853,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5715,c_92,c_50]) ).
tcf(c_6110,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2365,c_62]) ).
tcf(c_6114,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2370,c_62]) ).
tcf(c_6115,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2371,c_62]) ).
tcf(c_6116,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2372,c_62]) ).
tcf(c_6148,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_62,c_99]) ).
tcf(c_6149,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))) = sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_65]) ).
tcf(c_6155,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6110,c_92]) ).
tcf(c_6230,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6116,c_92,c_51]) ).
tcf(c_6235,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6115,c_92,c_50]) ).
tcf(c_6240,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6114,c_92,c_49]) ).
tcf(c_6505,plain,
! [X0: $i] :
( ( xp = X0 )
| ( xp != xp )
| ( X0 != xp ) ),
inference(instantiation,[status(thm)],[c_2802]) ).
tcf(c_6506,plain,
( ( xp = sz00 )
| ( xp != xp )
| ( sz00 != xp ) ),
inference(instantiation,[status(thm)],[c_6505]) ).
tcf(c_6765,plain,
( ( sz00 = xp )
| ( xl = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_5098,c_87]) ).
tcf(c_6776,plain,
( ( sz00 = xp )
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6765,c_54,c_3062,c_49]) ).
tcf(c_7406,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_2378,c_84]) ).
tcf(c_7407,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_2379,c_84]) ).
tcf(c_7408,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_2380,c_84]) ).
tcf(c_7441,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_84,c_99]) ).
tcf(c_7442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_65]) ).
tcf(c_7494,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7408,c_92,c_51]) ).
tcf(c_7500,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7407,c_92,c_50]) ).
tcf(c_7506,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7406,c_54,c_92,c_49]) ).
tcf(c_7668,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_2386,c_86]) ).
tcf(c_7669,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_2387,c_86]) ).
tcf(c_7700,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_86,c_99]) ).
tcf(c_7701,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))) = sdtasdt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_65]) ).
tcf(c_7761,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7669,c_92,c_50]) ).
tcf(c_7767,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7668,c_54,c_92,c_49]) ).
tcf(c_17673,plain,
sdtpldt0(xm,xn) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_51,c_2547]) ).
tcf(c_17721,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_17673,c_76]) ).
tcf(c_17729,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_17721,c_51,c_50]) ).
tcf(c_100613,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_97,c_58]) ).
tcf(c_100716,plain,
sdtlseqdt0(xq,xp),
inference(global_subsumption_just,[status(thm)],[c_100613,c_2501,c_3062,c_3748]) ).
tcf(c_100976,plain,
( ( sdtpldt0(xq,sK0(xq,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_100716,c_65]) ).
tcf(c_101073,plain,
( aNaturalNumber0(xp)
| ( xl = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,xm) ),
inference(superposition,[status(thm)],[c_55,c_94]) ).
tcf(c_101082,plain,
aNaturalNumber0(xp),
inference(forward_subsumption_resolution,[status(thm)],[c_101073,c_54,c_50,c_49,c_52]) ).
tcf(c_101225,plain,
sdtpldt0(xq,sK0(xq,xp)) = xp,
inference(global_subsumption_just,[status(thm)],[c_100976,c_2918,c_3062,c_3748]) ).
tcf(c_101228,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0(xq,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_101225,c_66]) ).
tcf(c_101239,plain,
sz00 != xp,
inference(global_subsumption_just,[status(thm)],[c_101228,c_58,c_2805,c_3678,c_3677,c_4537,c_6506]) ).
tcf(c_102547,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(xm,xl)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_52,c_95]) ).
tcf(c_102566,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(light_normalisation,[status(thm)],[c_102547,c_55]) ).
tcf(c_102567,plain,
sdtasdt0(xl,xp) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_102566,c_54,c_50,c_49]) ).
tcf(c_104689,plain,
( ( sz00 = xp )
| ( xl = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_102567,c_87]) ).
tcf(c_104694,plain,
xm != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_104689,c_101239,c_54,c_101082,c_49]) ).
tcf(c_123570,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_97,c_58]) ).
tcf(c_123669,plain,
sdtlseqdt0(xq,xp),
inference(global_subsumption_just,[status(thm)],[c_123570,c_2501,c_3062,c_3748]) ).
tcf(c_124104,plain,
( ( sdtpldt0(xq,sK0(xq,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_123669,c_65]) ).
tcf(c_124148,plain,
( aNaturalNumber0(xq)
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ doDivides0(xl,sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_56,c_94]) ).
tcf(c_124164,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124148,c_54,c_49,c_53]) ).
tcf(c_124315,plain,
aNaturalNumber0(xq),
inference(global_subsumption_just,[status(thm)],[c_124164,c_3748]) ).
tcf(c_124363,plain,
sdtpldt0(xq,sK0(xq,xp)) = xp,
inference(global_subsumption_just,[status(thm)],[c_124104,c_2918,c_3062,c_3748]) ).
tcf(c_124366,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0(xq,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_124363,c_66]) ).
tcf(c_124369,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(sK0(xq,xp))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124366,c_124315]) ).
tcf(c_124385,plain,
sz00 != xp,
inference(global_subsumption_just,[status(thm)],[c_124369,c_58,c_2805,c_3678,c_3677,c_4537,c_6506]) ).
tcf(c_220401,plain,
( ( sdtpldt0(xm,sK0(xm,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_57,c_65]) ).
tcf(c_220402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))) = sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_65]) ).
tcf(c_220403,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))) = sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_65]) ).
tcf(c_220404,plain,
( ( sdtpldt0(xm,sK0(xm,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220401,c_50]) ).
tcf(c_220435,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_65]) ).
tcf(c_220442,plain,
sdtpldt0(xl,sz00) = xl,
inference(superposition,[status(thm)],[c_49,c_72]) ).
tcf(c_220443,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_50,c_72]) ).
tcf(c_220444,plain,
sdtpldt0(xn,sz00) = xn,
inference(superposition,[status(thm)],[c_51,c_72]) ).
tcf(c_220445,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),sz00) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_72]) ).
tcf(c_220446,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_92,c_72]) ).
tcf(c_220485,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != xl ) ),
inference(superposition,[status(thm)],[c_220442,c_68]) ).
tcf(c_220486,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sz00))
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_220442,c_62]) ).
tcf(c_220487,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_220442,c_60]) ).
tcf(c_220488,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xl ) ),
inference(superposition,[status(thm)],[c_220442,c_69]) ).
tcf(c_220489,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_220442,c_60]) ).
tcf(c_220490,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_220442,c_62]) ).
tcf(c_220491,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220488,c_92,c_49]) ).
tcf(c_220495,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220485,c_92,c_49]) ).
tcf(c_220499,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220490,c_92,c_49]) ).
tcf(c_220504,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220489,c_92,c_49]) ).
tcf(c_220509,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220487,c_92,c_49]) ).
tcf(c_220514,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sz00))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220486,c_92,c_49]) ).
tcf(c_220523,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_220443,c_68]) ).
tcf(c_220524,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_220443,c_62]) ).
tcf(c_220525,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_220443,c_60]) ).
tcf(c_220526,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(superposition,[status(thm)],[c_220443,c_69]) ).
tcf(c_220527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_220443,c_60]) ).
tcf(c_220528,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_220443,c_62]) ).
tcf(c_220529,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220526,c_92,c_50]) ).
tcf(c_220533,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220523,c_92,c_50]) ).
tcf(c_220537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220528,c_92,c_50]) ).
tcf(c_220542,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220527,c_92,c_50]) ).
tcf(c_220547,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220525,c_92,c_50]) ).
tcf(c_220552,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220524,c_92,c_50]) ).
tcf(c_220565,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xl)) = sdtasdt0(X0,sdtpldt0(X1,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_70]) ).
tcf(c_220566,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xm)) = sdtasdt0(X0,sdtpldt0(X1,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_70]) ).
tcf(c_220567,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xn)) = sdtasdt0(X0,sdtpldt0(X1,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_70]) ).
tcf(c_220568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sK0(X0,X1))) = sdtasdt0(X2,sdtpldt0(X3,sK0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_70]) ).
tcf(c_220569,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00)) = sdtasdt0(X0,sdtpldt0(X1,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_70]) ).
tcf(c_220596,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(xl,X0)) = sdtasdt0(sdtpldt0(X1,xl),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_71]) ).
tcf(c_220597,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(xm,X0)) = sdtasdt0(sdtpldt0(X1,xm),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_71]) ).
tcf(c_220598,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(xn,X0)) = sdtasdt0(sdtpldt0(X1,xn),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_71]) ).
tcf(c_220599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(sK0(X0,X1),X2)) = sdtasdt0(sdtpldt0(X3,sK0(X0,X1)),X2) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_71]) ).
tcf(c_220600,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sz00,X0)) = sdtasdt0(sdtpldt0(X1,sz00),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_71]) ).
tcf(c_220623,plain,
sdtpldt0(sz00,xl) = xl,
inference(superposition,[status(thm)],[c_49,c_73]) ).
tcf(c_220624,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_50,c_73]) ).
tcf(c_220625,plain,
sdtpldt0(sz00,xn) = xn,
inference(superposition,[status(thm)],[c_51,c_73]) ).
tcf(c_220626,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK0(X0,X1)) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_73]) ).
tcf(c_220636,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_220444,c_68]) ).
tcf(c_220637,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_220444,c_62]) ).
tcf(c_220638,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_220444,c_60]) ).
tcf(c_220639,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(superposition,[status(thm)],[c_220444,c_69]) ).
tcf(c_220640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_220444,c_60]) ).
tcf(c_220641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_220444,c_62]) ).
tcf(c_220642,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220639,c_92,c_51]) ).
tcf(c_220646,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220636,c_92,c_51]) ).
tcf(c_220650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220641,c_92,c_51]) ).
tcf(c_220655,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220640,c_92,c_51]) ).
tcf(c_220660,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220638,c_92,c_51]) ).
tcf(c_220665,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220637,c_92,c_51]) ).
tcf(c_220674,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_220446,c_68]) ).
tcf(c_220675,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_220446,c_62]) ).
tcf(c_220676,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_220446,c_60]) ).
tcf(c_220677,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(superposition,[status(thm)],[c_220446,c_69]) ).
tcf(c_220678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_220446,c_60]) ).
tcf(c_220679,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_220446,c_62]) ).
tcf(c_220680,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220677,c_92]) ).
tcf(c_220684,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220674,c_92]) ).
tcf(c_220688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220679,c_92]) ).
tcf(c_220693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220678,c_92]) ).
tcf(c_220698,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220676,c_92]) ).
tcf(c_220703,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220675,c_92]) ).
tcf(c_220716,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xl) = sdtpldt0(X0,sdtpldt0(X1,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_74]) ).
tcf(c_220717,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_74]) ).
tcf(c_220718,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_74]) ).
tcf(c_220719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(X2,X3),sK0(X0,X1)) = sdtpldt0(X2,sdtpldt0(X3,sK0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_74]) ).
tcf(c_220720,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_74]) ).
tcf(c_220745,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xl) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_75]) ).
tcf(c_220746,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_75]) ).
tcf(c_220747,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_75]) ).
tcf(c_220748,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK0(X0,X1),X2) = sdtpldt0(X2,sK0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_75]) ).
tcf(c_220749,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_75]) ).
tcf(c_220773,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_76,c_75]) ).
tcf(c_220774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(X2,X3),sdtpldt0(X0,X1)) = sdtpldt0(X2,sdtpldt0(X3,sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_74]) ).
tcf(c_220775,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_73]) ).
tcf(c_220776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(sdtpldt0(X0,X1),X2)) = sdtasdt0(sdtpldt0(X3,sdtpldt0(X0,X1)),X2) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_71]) ).
tcf(c_220777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtpldt0(X0,X1))) = sdtasdt0(X2,sdtpldt0(X3,sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_70]) ).
tcf(c_220778,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_72]) ).
tcf(c_220811,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(superposition,[status(thm)],[c_220623,c_68]) ).
tcf(c_220812,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_220623,c_62]) ).
tcf(c_220813,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_220623,c_60]) ).
tcf(c_220814,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != xl ) ),
inference(superposition,[status(thm)],[c_220623,c_69]) ).
tcf(c_220815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_220623,c_60]) ).
tcf(c_220816,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_220623,c_62]) ).
tcf(c_220817,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220814,c_92,c_49]) ).
tcf(c_220821,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220811,c_92,c_49]) ).
tcf(c_220825,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220816,c_92,c_49]) ).
tcf(c_220830,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220815,c_92,c_49]) ).
tcf(c_220835,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220813,c_92,c_49]) ).
tcf(c_220840,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220812,c_92,c_49]) ).
tcf(c_220854,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_220624,c_68]) ).
tcf(c_220855,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_220624,c_62]) ).
tcf(c_220856,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_220624,c_60]) ).
tcf(c_220857,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(superposition,[status(thm)],[c_220624,c_69]) ).
tcf(c_220858,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_220624,c_60]) ).
tcf(c_220859,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_220624,c_62]) ).
tcf(c_220860,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220857,c_92,c_50]) ).
tcf(c_220864,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220854,c_92,c_50]) ).
tcf(c_220868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220859,c_92,c_50]) ).
tcf(c_220873,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220858,c_92,c_50]) ).
tcf(c_220878,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220856,c_92,c_50]) ).
tcf(c_220883,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220855,c_92,c_50]) ).
tcf(c_220923,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_52,c_78]) ).
tcf(c_220924,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_78]) ).
tcf(c_220925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( doDivides0(X3,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_78]) ).
tcf(c_220926,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220923,c_50,c_49]) ).
tcf(c_220930,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220924,c_49]) ).
tcf(c_220953,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK1(X0,X1),X2) = sdtpldt0(X2,sK1(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_75]) ).
tcf(c_220954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(X2,X3),sK1(X0,X1)) = sdtpldt0(X2,sdtpldt0(X3,sK1(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_74]) ).
tcf(c_220955,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK1(X0,X1)) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_73]) ).
tcf(c_220956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(sK1(X0,X1),X2)) = sdtasdt0(sdtpldt0(X3,sK1(X0,X1)),X2) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_71]) ).
tcf(c_220957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sK1(X0,X1))) = sdtasdt0(X2,sdtpldt0(X3,sK1(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_70]) ).
tcf(c_220958,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),sz00) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_72]) ).
tcf(c_221002,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_220625,c_68]) ).
tcf(c_221003,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_220625,c_62]) ).
tcf(c_221004,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_220625,c_60]) ).
tcf(c_221006,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(superposition,[status(thm)],[c_220625,c_69]) ).
tcf(c_221007,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_220625,c_60]) ).
tcf(c_221008,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_220625,c_62]) ).
tcf(c_221009,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221006,c_92,c_51]) ).
tcf(c_221013,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221002,c_92,c_51]) ).
tcf(c_221017,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221008,c_92,c_51]) ).
tcf(c_221022,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221007,c_92,c_51]) ).
tcf(c_221027,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221004,c_92,c_51]) ).
tcf(c_221032,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221003,c_92,c_51]) ).
tcf(c_221044,plain,
sdtasdt0(xl,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_90]) ).
tcf(c_221045,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_90]) ).
tcf(c_221046,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_90]) ).
tcf(c_221047,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_90]) ).
tcf(c_221048,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_90]) ).
tcf(c_221049,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_90]) ).
tcf(c_221050,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_92,c_90]) ).
tcf(c_221075,plain,
( ( sdtasdt0(xl,sK1(xl,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_52,c_81]) ).
tcf(c_221076,plain,
( ( sdtasdt0(xl,sK1(xl,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_81]) ).
tcf(c_221077,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X2,sK1(X2,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_81]) ).
tcf(c_221078,plain,
sdtasdt0(xl,sK1(xl,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_221075,c_50,c_49]) ).
tcf(c_221079,plain,
( ( sdtasdt0(xl,sK1(xl,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221076,c_49]) ).
tcf(c_221100,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_65]) ).
tcf(c_221120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_65]) ).
tcf(c_221134,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_221044,c_84]) ).
tcf(c_221135,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_221044,c_84]) ).
tcf(c_221136,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221135,c_54,c_92,c_49]) ).
tcf(c_221141,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221134,c_54,c_92,c_49]) ).
tcf(c_221147,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_221045,c_84]) ).
tcf(c_221148,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_221045,c_84]) ).
tcf(c_221149,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221148,c_104694,c_92,c_50]) ).
tcf(c_221154,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221147,c_104694,c_92,c_50]) ).
tcf(c_221179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))) = sdtasdt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_65]) ).
tcf(c_221215,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_221044,c_88]) ).
tcf(c_221216,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_221045,c_88]) ).
tcf(c_221218,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221216,c_104694,c_92,c_50]) ).
tcf(c_221222,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221215,c_54,c_92,c_49]) ).
tcf(c_221232,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_221046,c_84]) ).
tcf(c_221235,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_221046,c_88]) ).
tcf(c_221237,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_221046,c_84]) ).
tcf(c_221238,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221235,c_92,c_51]) ).
tcf(c_221243,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221237,c_92,c_51]) ).
tcf(c_221249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221232,c_92,c_51]) ).
tcf(c_221292,plain,
sdtasdt0(sz00,xl) = sz00,
inference(superposition,[status(thm)],[c_49,c_91]) ).
tcf(c_221293,plain,
sdtasdt0(sz00,xm) = sz00,
inference(superposition,[status(thm)],[c_50,c_91]) ).
tcf(c_221294,plain,
sdtasdt0(sz00,xn) = sz00,
inference(superposition,[status(thm)],[c_51,c_91]) ).
tcf(c_221295,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_91]) ).
tcf(c_221296,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_91]) ).
tcf(c_221297,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK1(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_91]) ).
tcf(c_221322,plain,
( aNaturalNumber0(xp)
| ( xl = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,xm) ),
inference(superposition,[status(thm)],[c_55,c_94]) ).
tcf(c_221323,plain,
( aNaturalNumber0(xq)
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ doDivides0(xl,sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_56,c_94]) ).
tcf(c_221324,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_94,c_91]) ).
tcf(c_221325,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_94,c_90]) ).
tcf(c_221326,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_94,c_75]) ).
tcf(c_221327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X2,X3),sdtsldt0(X1,X0)) = sdtpldt0(X2,sdtpldt0(X3,sdtsldt0(X1,X0))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_74]) ).
tcf(c_221328,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_94,c_73]) ).
tcf(c_221329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(sdtsldt0(X1,X0),X2)) = sdtasdt0(sdtpldt0(X3,sdtsldt0(X1,X0)),X2) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_71]) ).
tcf(c_221330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtsldt0(X1,X0))) = sdtasdt0(X2,sdtpldt0(X3,sdtsldt0(X1,X0))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_70]) ).
tcf(c_221331,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_94,c_72]) ).
tcf(c_221332,plain,
aNaturalNumber0(xp),
inference(forward_subsumption_resolution,[status(thm)],[c_221322,c_54,c_50,c_49,c_52]) ).
tcf(c_221333,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221323,c_54,c_49,c_53]) ).
tcf(c_221393,plain,
sdtasdt0(sz00,xp) = sz00,
inference(superposition,[status(thm)],[c_221332,c_91]) ).
tcf(c_221394,plain,
sdtasdt0(xp,sz00) = sz00,
inference(superposition,[status(thm)],[c_221332,c_90]) ).
tcf(c_221395,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_75]) ).
tcf(c_221396,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(X0,sdtpldt0(X1,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_74]) ).
tcf(c_221397,plain,
sdtpldt0(sz00,xp) = xp,
inference(superposition,[status(thm)],[c_221332,c_73]) ).
tcf(c_221398,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(xp,X0)) = sdtasdt0(sdtpldt0(X1,xp),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_71]) ).
tcf(c_221399,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xp)) = sdtasdt0(X0,sdtpldt0(X1,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_70]) ).
tcf(c_221400,plain,
sdtpldt0(xp,sz00) = xp,
inference(superposition,[status(thm)],[c_221332,c_72]) ).
tcf(c_221430,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_221292,c_86]) ).
tcf(c_221431,plain,
( sdtlseqdt0(sz00,sz00)
| ( xl = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_221292,c_82]) ).
tcf(c_221434,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sz00 ) ),
inference(superposition,[status(thm)],[c_221292,c_89]) ).
tcf(c_221438,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_221292,c_86]) ).
tcf(c_221440,plain,
sdtlseqdt0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_221431,c_54,c_92,c_49]) ).
tcf(c_221441,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221434,c_54,c_92,c_49]) ).
tcf(c_221445,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221438,c_54,c_92,c_49]) ).
tcf(c_221450,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221430,c_54,c_92,c_49]) ).
tcf(c_221465,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(xm,xl)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_52,c_95]) ).
tcf(c_221466,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl)) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_95]) ).
tcf(c_221467,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_77,c_95]) ).
tcf(c_221468,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(light_normalisation,[status(thm)],[c_221465,c_55]) ).
tcf(c_221469,plain,
sdtasdt0(xl,xp) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_221468,c_54,c_50,c_49]) ).
tcf(c_221470,plain,
( ( xl = sz00 )
| ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(light_normalisation,[status(thm)],[c_221466,c_56]) ).
tcf(c_221471,plain,
( ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221470,c_54,c_49]) ).
tcf(c_221491,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_65]) ).
tcf(c_221492,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_97,c_58]) ).
tcf(c_221493,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_65]) ).
tcf(c_221496,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221492,c_221332]) ).
tcf(c_221519,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_57,c_98]) ).
tcf(c_221521,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_60,c_98]) ).
tcf(c_221522,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_62,c_98]) ).
tcf(c_221523,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_82,c_98]) ).
tcf(c_221524,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_84,c_98]) ).
tcf(c_221525,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_86,c_98]) ).
tcf(c_221527,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_97,c_98]) ).
tcf(c_221534,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221519,c_50]) ).
tcf(c_221589,plain,
( ( sdtpldt0(sz00,sK0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_221440,c_65]) ).
tcf(c_221590,plain,
sdtpldt0(sz00,sK0(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_221589,c_92]) ).
tcf(c_221591,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_221293,c_86]) ).
tcf(c_221595,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_221293,c_89]) ).
tcf(c_221599,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_221293,c_86]) ).
tcf(c_221601,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221595,c_104694,c_92,c_50]) ).
tcf(c_221605,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221599,c_104694,c_92,c_50]) ).
tcf(c_221610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221591,c_104694,c_92,c_50]) ).
tcf(c_221628,plain,
( ( sdtpldt0(xm,xn) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xn),xm) ),
inference(superposition,[status(thm)],[c_57,c_99]) ).
tcf(c_221630,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_60,c_99]) ).
tcf(c_221631,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_62,c_99]) ).
tcf(c_221632,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_82,c_99]) ).
tcf(c_221633,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_84,c_99]) ).
tcf(c_221634,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_86,c_99]) ).
tcf(c_221638,plain,
( ( sdtpldt0(xm,xn) = xm )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xn),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221628,c_50]) ).
tcf(c_221716,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xl) = sdtasdt0(X0,sdtasdt0(X1,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_101]) ).
tcf(c_221717,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_101]) ).
tcf(c_221718,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_101]) ).
tcf(c_221719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(X2,X3),sdtpldt0(X0,X1)) = sdtasdt0(X2,sdtasdt0(X3,sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_101]) ).
tcf(c_221720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(X2,X3),sK0(X0,X1)) = sdtasdt0(X2,sdtasdt0(X3,sK0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_101]) ).
tcf(c_221721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(X2,X3),sK1(X0,X1)) = sdtasdt0(X2,sdtasdt0(X3,sK1(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_101]) ).
tcf(c_221722,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_101]) ).
tcf(c_221723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X2,X3),sdtsldt0(X1,X0)) = sdtasdt0(X2,sdtasdt0(X3,sdtsldt0(X1,X0))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_101]) ).
tcf(c_221724,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_101]) ).
tcf(c_221791,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xl) = sdtasdt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_102]) ).
tcf(c_221792,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_102]) ).
tcf(c_221793,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_102]) ).
tcf(c_221794,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_76,c_102]) ).
tcf(c_221795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK0(X0,X1),X2) = sdtasdt0(X2,sK0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_102]) ).
tcf(c_221796,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK1(X0,X1),X2) = sdtasdt0(X2,sK1(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_102]) ).
tcf(c_221797,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_102]) ).
tcf(c_221798,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_94,c_102]) ).
tcf(c_221799,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_102]) ).
tcf(c_221843,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_221294,c_86]) ).
tcf(c_221847,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_221294,c_89]) ).
tcf(c_221851,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_221294,c_86]) ).
tcf(c_221853,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221847,c_92,c_51]) ).
tcf(c_221858,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221851,c_92,c_51]) ).
tcf(c_221864,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221843,c_92,c_51]) ).
tcf(c_221870,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_221393,c_86]) ).
tcf(c_221874,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_221393,c_89]) ).
tcf(c_221878,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_221393,c_86]) ).
tcf(c_221880,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221874,c_124385,c_221332,c_92]) ).
tcf(c_221884,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221878,c_124385,c_221332,c_92]) ).
tcf(c_221889,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221870,c_124385,c_221332,c_92]) ).
tcf(c_221916,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_103,c_102]) ).
tcf(c_221917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(X2,X3),sdtasdt0(X0,X1)) = sdtasdt0(X2,sdtasdt0(X3,sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_101]) ).
tcf(c_221918,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_91]) ).
tcf(c_221919,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_90]) ).
tcf(c_221920,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_103,c_75]) ).
tcf(c_221921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(X2,X3),sdtasdt0(X0,X1)) = sdtpldt0(X2,sdtpldt0(X3,sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_74]) ).
tcf(c_221922,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_73]) ).
tcf(c_221923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(sdtasdt0(X0,X1),X2)) = sdtasdt0(sdtpldt0(X3,sdtasdt0(X0,X1)),X2) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_71]) ).
tcf(c_221924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtasdt0(X0,X1))) = sdtasdt0(X2,sdtpldt0(X3,sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_70]) ).
tcf(c_221925,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_72]) ).
tcf(c_222036,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_221050,c_133]) ).
tcf(c_222037,plain,
( doDivides0(xl,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_221044,c_133]) ).
tcf(c_222038,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_221045,c_133]) ).
tcf(c_222039,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_221046,c_133]) ).
tcf(c_222044,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_78]) ).
tcf(c_222045,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_133,c_95]) ).
tcf(c_222046,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK1(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_81]) ).
tcf(c_222047,plain,
doDivides0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_222036,c_92]) ).
tcf(c_222048,plain,
doDivides0(xn,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_222039,c_92,c_51]) ).
tcf(c_222049,plain,
doDivides0(xm,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_222038,c_92,c_50]) ).
tcf(c_222050,plain,
doDivides0(xl,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_222037,c_92,c_49]) ).
tcf(c_222101,plain,
( sdtlseqdt0(xl,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_220442,c_136]) ).
tcf(c_222102,plain,
( sdtlseqdt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_220443,c_136]) ).
tcf(c_222103,plain,
( sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_220444,c_136]) ).
tcf(c_222104,plain,
( sdtlseqdt0(sz00,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_220623,c_136]) ).
tcf(c_222105,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_220624,c_136]) ).
tcf(c_222106,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_220625,c_136]) ).
tcf(c_222107,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_136,c_98]) ).
tcf(c_222108,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_136,c_99]) ).
tcf(c_222109,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_65]) ).
tcf(c_222110,plain,
sdtlseqdt0(sz00,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_222106,c_92,c_51]) ).
tcf(c_222111,plain,
sdtlseqdt0(sz00,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_222105,c_92,c_50]) ).
tcf(c_222112,plain,
sdtlseqdt0(sz00,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_222104,c_92,c_49]) ).
tcf(c_222113,plain,
sdtlseqdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_222103,c_92,c_51]) ).
tcf(c_222114,plain,
sdtlseqdt0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_222102,c_92,c_50]) ).
tcf(c_222115,plain,
sdtlseqdt0(xl,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_222101,c_92,c_49]) ).
tcf(c_222167,plain,
( ( sdtasdt0(sz00,sK1(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_222047,c_81]) ).
tcf(c_222168,plain,
sdtasdt0(sz00,sK1(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_222167,c_92]) ).
tcf(c_222169,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_222048,c_78]) ).
tcf(c_222170,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222048,c_95]) ).
tcf(c_222171,plain,
( ( sdtasdt0(xn,sK1(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222048,c_81]) ).
tcf(c_222172,plain,
sdtasdt0(xn,sK1(xn,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_222171,c_92,c_51]) ).
tcf(c_222173,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222169,c_92,c_51]) ).
tcf(c_222177,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222170,c_92,c_51]) ).
tcf(c_222188,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtsldt0(sdtasdt0(xl,X0),xl) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_143]) ).
tcf(c_222189,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(sdtasdt0(xm,X0),xm) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_143]) ).
tcf(c_222190,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtsldt0(sdtasdt0(xn,X0),xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_143]) ).
tcf(c_222191,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_76,c_143]) ).
tcf(c_222192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sK0(X0,X1),X2),sK0(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_143]) ).
tcf(c_222193,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_103,c_143]) ).
tcf(c_222194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK1(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sK1(X0,X1),X2),sK1(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_143]) ).
tcf(c_222196,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_94,c_143]) ).
tcf(c_222197,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtsldt0(sdtasdt0(xp,X0),xp) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_143]) ).
tcf(c_222198,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,X0),xp) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222197,c_124385]) ).
tcf(c_222204,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xm,X0),xm) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222189,c_104694]) ).
tcf(c_222207,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xl,X0),xl) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222188,c_54]) ).
tcf(c_222307,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))) = sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_220402,c_76,c_5752]) ).
tcf(c_222308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X1 )
| ( sdtpldt0(sdtpldt0(X0,X2),sK0(sdtpldt0(X0,X2),sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(renaming,[status(thm)],[c_222307]) ).
tcf(c_222309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X1 )
| ( sdtpldt0(sdtpldt0(X0,X2),sK0(sdtpldt0(X0,X2),sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_222308,c_76,c_222308]) ).
tcf(c_222310,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( sdtpldt0(sdtpldt0(X2,X0),sK0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))) = sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(renaming,[status(thm)],[c_222309]) ).
tcf(c_222323,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = xm )
| ( sdtpldt0(sdtpldt0(X0,xm),sK0(sdtpldt0(X0,xm),sdtpldt0(X0,sdtpldt0(xm,xn)))) = sdtpldt0(X0,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_57,c_222310]) ).
tcf(c_222324,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| ( X0 = X1 )
| ( sdtpldt0(sdtpldt0(X2,X0),sK0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))) = sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_222310]) ).
tcf(c_222325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
| ( sdtpldt0(sdtpldt0(X3,sdtpldt0(X0,X1)),sK0(sdtpldt0(X3,sdtpldt0(X0,X1)),sdtpldt0(X3,sdtpldt0(X0,X2)))) = sdtpldt0(X3,sdtpldt0(X0,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_222310]) ).
tcf(c_222326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X2,X1) )
| ( sdtpldt0(sdtpldt0(X3,sdtpldt0(X0,X1)),sK0(sdtpldt0(X3,sdtpldt0(X0,X1)),sdtpldt0(X3,sdtpldt0(X2,X1)))) = sdtpldt0(X3,sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_222310]) ).
tcf(c_222327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X0,X1) = X0 )
| ( sdtpldt0(sdtpldt0(X2,X0),sK0(sdtpldt0(X2,X0),sdtpldt0(X2,sdtpldt0(X0,X1)))) = sdtpldt0(X2,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_222310]) ).
tcf(c_222328,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X0 )
| ( sdtpldt0(sdtpldt0(X2,X0),sK0(sdtpldt0(X2,X0),sdtpldt0(X2,sdtasdt0(X0,X1)))) = sdtpldt0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_222310]) ).
tcf(c_222329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
| ( sdtpldt0(sdtpldt0(X3,sdtasdt0(X0,X1)),sK0(sdtpldt0(X3,sdtasdt0(X0,X1)),sdtpldt0(X3,sdtasdt0(X0,X2)))) = sdtpldt0(X3,sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_222310]) ).
tcf(c_222330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X2,X1) )
| ( sdtpldt0(sdtpldt0(X3,sdtasdt0(X0,X1)),sK0(sdtpldt0(X3,sdtasdt0(X0,X1)),sdtpldt0(X3,sdtasdt0(X2,X1)))) = sdtpldt0(X3,sdtasdt0(X2,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_222310]) ).
tcf(c_222332,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| ( X0 = X1 )
| ( sdtpldt0(sdtpldt0(X2,X1),sK0(sdtpldt0(X2,X1),sdtpldt0(X2,X0))) = sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_222310]) ).
tcf(c_222346,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = xm )
| ( sdtpldt0(sdtpldt0(X0,xm),sK0(sdtpldt0(X0,xm),sdtpldt0(X0,sdtpldt0(xm,xn)))) = sdtpldt0(X0,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222323,c_50]) ).
tcf(c_222407,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))) = sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_220403,c_76,c_6149]) ).
tcf(c_222408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( sdtpldt0(sdtpldt0(X2,X1),sK0(sdtpldt0(X2,X1),sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(renaming,[status(thm)],[c_222407]) ).
tcf(c_222409,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( sdtpldt0(sdtpldt0(X2,X1),sK0(sdtpldt0(X2,X1),sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_222408,c_76,c_222408]) ).
tcf(c_222410,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( sdtpldt0(sdtpldt0(X0,X2),sK0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))) = sdtpldt0(X1,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(renaming,[status(thm)],[c_222409]) ).
tcf(c_222423,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = xm )
| ( sdtpldt0(sdtpldt0(xm,X0),sK0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xm,xn),X0))) = sdtpldt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_57,c_222410]) ).
tcf(c_222424,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| ( X0 = X1 )
| ( sdtpldt0(sdtpldt0(X0,X2),sK0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))) = sdtpldt0(X1,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_222410]) ).
tcf(c_222425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
| ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X3),sK0(sdtpldt0(sdtpldt0(X0,X1),X3),sdtpldt0(sdtpldt0(X0,X2),X3))) = sdtpldt0(sdtpldt0(X0,X2),X3) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_222410]) ).
tcf(c_222426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X2,X1) )
| ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X3),sK0(sdtpldt0(sdtpldt0(X0,X1),X3),sdtpldt0(sdtpldt0(X2,X1),X3))) = sdtpldt0(sdtpldt0(X2,X1),X3) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_222410]) ).
tcf(c_222427,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X0,X1) = X0 )
| ( sdtpldt0(sdtpldt0(X0,X2),sK0(sdtpldt0(X0,X2),sdtpldt0(sdtpldt0(X0,X1),X2))) = sdtpldt0(sdtpldt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_222410]) ).
tcf(c_222428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X0 )
| ( sdtpldt0(sdtpldt0(X0,X2),sK0(sdtpldt0(X0,X2),sdtpldt0(sdtasdt0(X0,X1),X2))) = sdtpldt0(sdtasdt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_222410]) ).
tcf(c_222429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
| ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X3),sK0(sdtpldt0(sdtasdt0(X0,X1),X3),sdtpldt0(sdtasdt0(X0,X2),X3))) = sdtpldt0(sdtasdt0(X0,X2),X3) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_222410]) ).
tcf(c_222430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X2,X1) )
| ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X3),sK0(sdtpldt0(sdtasdt0(X0,X1),X3),sdtpldt0(sdtasdt0(X2,X1),X3))) = sdtpldt0(sdtasdt0(X2,X1),X3) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_222410]) ).
tcf(c_222432,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| ( X0 = X1 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sdtpldt0(X1,X2),sdtpldt0(X0,X2))) = sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_222410]) ).
tcf(c_222446,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = xm )
| ( sdtpldt0(sdtpldt0(xm,X0),sK0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xm,xn),X0))) = sdtpldt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222423,c_50]) ).
tcf(c_222539,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_222049,c_78]) ).
tcf(c_222540,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222049,c_95]) ).
tcf(c_222541,plain,
( ( sdtasdt0(xm,sK1(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222049,c_81]) ).
tcf(c_222542,plain,
sdtasdt0(xm,sK1(xm,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_222541,c_92,c_50]) ).
tcf(c_222543,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222539,c_92,c_50]) ).
tcf(c_222547,plain,
sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_222540,c_104694,c_92,c_50]) ).
tcf(c_222586,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_222050,c_78]) ).
tcf(c_222587,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222050,c_95]) ).
tcf(c_222588,plain,
( ( sdtasdt0(xl,sK1(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222050,c_81]) ).
tcf(c_222589,plain,
sdtasdt0(xl,sK1(xl,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_222588,c_92,c_49]) ).
tcf(c_222590,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222586,c_92,c_49]) ).
tcf(c_222594,plain,
sdtasdt0(xl,sdtsldt0(sz00,xl)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_222587,c_54,c_92,c_49]) ).
tcf(c_222595,plain,
sdtpldt0(xm,sK0(xm,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn),
inference(global_subsumption_just,[status(thm)],[c_220404,c_2947,c_17729]) ).
tcf(c_222598,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_222595,c_76]) ).
tcf(c_222602,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_222595,c_66]) ).
tcf(c_222603,plain,
! [X0: $i] :
( ( sK0(xm,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,X0) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_222595,c_68]) ).
tcf(c_222604,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(X0,sK0(xm,sdtpldt0(xm,xn))))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_222595,c_62]) ).
tcf(c_222605,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xm,X0))
| ( sK0(xm,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(sK0(xm,sdtpldt0(xm,xn)),X0) ),
inference(superposition,[status(thm)],[c_222595,c_60]) ).
tcf(c_222606,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn)))
| ~ doDivides0(X0,sK0(xm,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_222595,c_77]) ).
tcf(c_222607,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn)))
| ( sdtpldt0(X0,sK0(xm,sdtpldt0(xm,xn))) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_222595,c_69]) ).
tcf(c_222608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xm,xn))
| ( sK0(xm,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(X0,sK0(xm,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_222595,c_60]) ).
tcf(c_222609,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,sdtpldt0(xm,xn))),sdtpldt0(xm,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_222595,c_62]) ).
tcf(c_222610,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222598,c_50]) ).
tcf(c_222613,plain,
( ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222602,c_104694,c_50]) ).
tcf(c_222616,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn)))
| ( sdtpldt0(X0,sK0(xm,sdtpldt0(xm,xn))) != sdtpldt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222607,c_50]) ).
tcf(c_222621,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn)))
| ~ doDivides0(X0,sK0(xm,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222606,c_50]) ).
tcf(c_222627,plain,
! [X0: $i] :
( ( sK0(xm,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,X0) != sdtpldt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222603,c_50]) ).
tcf(c_222632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,sdtpldt0(xm,xn))),sdtpldt0(xm,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222609,c_50]) ).
tcf(c_222638,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(X0,sK0(xm,sdtpldt0(xm,xn))))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222604,c_50]) ).
tcf(c_222644,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xm,xn))
| ( sK0(xm,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(X0,sK0(xm,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222608,c_50]) ).
tcf(c_222650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xm,X0))
| ( sK0(xm,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(sK0(xm,sdtpldt0(xm,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222605,c_50]) ).
tcf(c_222697,plain,
sdtpldt0(xl,sK0(xl,xl)) = xl,
inference(superposition,[status(thm)],[c_49,c_220435]) ).
tcf(c_222698,plain,
sdtpldt0(xm,sK0(xm,xm)) = xm,
inference(superposition,[status(thm)],[c_50,c_220435]) ).
tcf(c_222699,plain,
sdtpldt0(xn,sK0(xn,xn)) = xn,
inference(superposition,[status(thm)],[c_51,c_220435]) ).
tcf(c_222700,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220435]) ).
tcf(c_222701,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),sK0(sK0(X0,X1),sK0(X0,X1))) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220435]) ).
tcf(c_222702,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220435]) ).
tcf(c_222703,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),sK0(sK1(X0,X1),sK1(X0,X1))) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220435]) ).
tcf(c_222705,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sK0(sdtsldt0(X1,X0),sdtsldt0(X1,X0))) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220435]) ).
tcf(c_222706,plain,
sdtpldt0(xp,sK0(xp,xp)) = xp,
inference(superposition,[status(thm)],[c_221332,c_220435]) ).
tcf(c_222747,plain,
( ( sdtpldt0(sK0(xm,sdtpldt0(xm,xn)),sz00) = sK0(xm,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_57,c_220445]) ).
tcf(c_222748,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(sK0(X0,X1),sz00) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_220445]) ).
tcf(c_222749,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)),sz00) = sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_220445]) ).
tcf(c_222750,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1)),sz00) = sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_220445]) ).
tcf(c_222751,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,sdtpldt0(X0,X1)),sz00) = sK0(X0,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_220445]) ).
tcf(c_222752,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sK0(X0,sdtasdt0(X0,X1)),sz00) = sK0(X0,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_220445]) ).
tcf(c_222753,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)),sz00) = sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_220445]) ).
tcf(c_222754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1)),sz00) = sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_220445]) ).
tcf(c_222755,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(X0,X0),sz00) = sK0(X0,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_220445]) ).
tcf(c_222756,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(sK0(X1,X0),sz00) = sK0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_220445]) ).
tcf(c_222757,plain,
( ( sdtpldt0(sK0(sz00,sz00),sz00) = sK0(sz00,sz00) )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_221440,c_220445]) ).
tcf(c_222758,plain,
sdtpldt0(sK0(sz00,sz00),sz00) = sK0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_222757,c_92]) ).
tcf(c_222769,plain,
( ( sdtpldt0(sK0(xm,sdtpldt0(xm,xn)),sz00) = sK0(xm,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222747,c_50]) ).
tcf(c_222846,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_222110,c_98]) ).
tcf(c_222847,plain,
( ( sdtpldt0(sK0(sz00,xn),sz00) = sK0(sz00,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222110,c_220445]) ).
tcf(c_222848,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK0(sdtpldt0(sz00,X0),sdtpldt0(xn,X0))) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222110,c_222410]) ).
tcf(c_222849,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtpldt0(sdtpldt0(X0,sz00),sK0(sdtpldt0(X0,sz00),sdtpldt0(X0,xn))) = sdtpldt0(X0,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222110,c_222310]) ).
tcf(c_222850,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00) ),
inference(superposition,[status(thm)],[c_222110,c_99]) ).
tcf(c_222851,plain,
( ( sdtpldt0(sz00,sK0(sz00,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222110,c_65]) ).
tcf(c_222852,plain,
sdtpldt0(sz00,sK0(sz00,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_222851,c_92,c_51]) ).
tcf(c_222853,plain,
( ( xn = sz00 )
| ~ sdtlseqdt0(xn,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222850,c_92,c_51]) ).
tcf(c_222856,plain,
sdtpldt0(sK0(sz00,xn),sz00) = sK0(sz00,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_222847,c_92,c_51]) ).
tcf(c_222857,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222846,c_92,c_51]) ).
tcf(c_222861,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtpldt0(sdtpldt0(X0,sz00),sK0(sdtpldt0(X0,sz00),sdtpldt0(X0,xn))) = sdtpldt0(X0,xn) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222849,c_92,c_51]) ).
tcf(c_222865,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK0(sdtpldt0(sz00,X0),sdtpldt0(xn,X0))) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222848,c_92,c_51]) ).
tcf(c_222881,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_222111,c_98]) ).
tcf(c_222882,plain,
( ( sdtpldt0(sK0(sz00,xm),sz00) = sK0(sz00,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222111,c_220445]) ).
tcf(c_222883,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK0(sdtpldt0(sz00,X0),sdtpldt0(xm,X0))) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222111,c_222410]) ).
tcf(c_222884,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtpldt0(sdtpldt0(X0,sz00),sK0(sdtpldt0(X0,sz00),sdtpldt0(X0,xm))) = sdtpldt0(X0,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222111,c_222310]) ).
tcf(c_222885,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00) ),
inference(superposition,[status(thm)],[c_222111,c_99]) ).
tcf(c_222886,plain,
( ( sdtpldt0(sz00,sK0(sz00,xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222111,c_65]) ).
tcf(c_222887,plain,
sdtpldt0(sz00,sK0(sz00,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_222886,c_92,c_50]) ).
tcf(c_222888,plain,
~ sdtlseqdt0(xm,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_222885,c_104694,c_92,c_50]) ).
tcf(c_222889,plain,
sdtpldt0(sK0(sz00,xm),sz00) = sK0(sz00,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_222882,c_92,c_50]) ).
tcf(c_222890,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222881,c_92,c_50]) ).
tcf(c_222894,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(X0,sz00),sK0(sdtpldt0(X0,sz00),sdtpldt0(X0,xm))) = sdtpldt0(X0,xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222884,c_104694,c_92,c_50]) ).
tcf(c_222897,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),sK0(sdtpldt0(sz00,X0),sdtpldt0(xm,X0))) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222883,c_104694,c_92,c_50]) ).
tcf(c_222944,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xl)
| ( X1 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xl)
| ~ aNaturalNumber0(sdtpldt0(X1,sz00))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_98]) ).
tcf(c_222945,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sK0(sdtpldt0(X0,sz00),xl),sz00) = sK0(sdtpldt0(X0,sz00),xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_220445]) ).
tcf(c_222946,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ( sdtpldt0(sdtpldt0(sdtpldt0(X0,sz00),X1),sK0(sdtpldt0(sdtpldt0(X0,sz00),X1),sdtpldt0(xl,X1))) = sdtpldt0(xl,X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_222410]) ).
tcf(c_222947,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ( sdtpldt0(sdtpldt0(X1,sdtpldt0(X0,sz00)),sK0(sdtpldt0(X1,sdtpldt0(X0,sz00)),sdtpldt0(X1,xl))) = sdtpldt0(X1,xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_222310]) ).
tcf(c_222948,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00))
| ~ sdtlseqdt0(xl,sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_99]) ).
tcf(c_222949,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtpldt0(X0,sz00),sK0(sdtpldt0(X0,sz00),xl)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_65]) ).
tcf(c_222950,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtpldt0(X0,sz00),sK0(sdtpldt0(X0,sz00),xl)) = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222949,c_49]) ).
tcf(c_222956,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00))
| ~ sdtlseqdt0(xl,sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222948,c_49]) ).
tcf(c_222963,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xl)
| ( X1 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xl)
| ~ aNaturalNumber0(sdtpldt0(X1,sz00))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222944,c_49]) ).
tcf(c_222971,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sK0(sdtpldt0(X0,sz00),xl),sz00) = sK0(sdtpldt0(X0,sz00),xl) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222945,c_49]) ).
tcf(c_222977,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ( sdtpldt0(sdtpldt0(X1,sdtpldt0(X0,sz00)),sK0(sdtpldt0(X1,sdtpldt0(X0,sz00)),sdtpldt0(X1,xl))) = sdtpldt0(X1,xl) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222947,c_49]) ).
tcf(c_222985,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ( sdtpldt0(sdtpldt0(sdtpldt0(X0,sz00),X1),sK0(sdtpldt0(sdtpldt0(X0,sz00),X1),sdtpldt0(xl,X1))) = sdtpldt0(xl,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222946,c_49]) ).
tcf(c_223011,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_222112,c_98]) ).
tcf(c_223012,plain,
( ( sdtpldt0(sK0(sz00,xl),sz00) = sK0(sz00,xl) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222112,c_220445]) ).
tcf(c_223013,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK0(sdtpldt0(sz00,X0),sdtpldt0(xl,X0))) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222112,c_222410]) ).
tcf(c_223014,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtpldt0(X0,sz00),sK0(sdtpldt0(X0,sz00),sdtpldt0(X0,xl))) = sdtpldt0(X0,xl) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222112,c_222310]) ).
tcf(c_223015,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xl,sz00) ),
inference(superposition,[status(thm)],[c_222112,c_99]) ).
tcf(c_223016,plain,
( ( sdtpldt0(sz00,sK0(sz00,xl)) = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222112,c_65]) ).
tcf(c_223017,plain,
sdtpldt0(sz00,sK0(sz00,xl)) = xl,
inference(forward_subsumption_resolution,[status(thm)],[c_223016,c_92,c_49]) ).
tcf(c_223018,plain,
~ sdtlseqdt0(xl,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_223015,c_54,c_92,c_49]) ).
tcf(c_223019,plain,
sdtpldt0(sK0(sz00,xl),sz00) = sK0(sz00,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_223012,c_92,c_49]) ).
tcf(c_223020,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223011,c_92,c_49]) ).
tcf(c_223024,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(X0,sz00),sK0(sdtpldt0(X0,sz00),sdtpldt0(X0,xl))) = sdtpldt0(X0,xl) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223014,c_54,c_92,c_49]) ).
tcf(c_223027,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),sK0(sdtpldt0(sz00,X0),sdtpldt0(xl,X0))) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223013,c_54,c_92,c_49]) ).
tcf(c_223035,plain,
( ( sdtpldt0(sK0(xn,xn),sz00) = sK0(xn,xn) )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222113,c_220445]) ).
tcf(c_223040,plain,
sdtpldt0(sK0(xn,xn),sz00) = sK0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_223035,c_51]) ).
tcf(c_223050,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xl)
| ( X1 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,X1)) ),
inference(superposition,[status(thm)],[c_220504,c_98]) ).
tcf(c_223051,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sdtpldt0(xl,X0),xl),sz00) = sK0(sdtpldt0(xl,X0),xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_220504,c_220445]) ).
tcf(c_223052,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,X0) = xl )
| ( sdtpldt0(sdtpldt0(sdtpldt0(xl,X0),X1),sK0(sdtpldt0(sdtpldt0(xl,X0),X1),sdtpldt0(xl,X1))) = sdtpldt0(xl,X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_220504,c_222410]) ).
tcf(c_223053,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,X0) = xl )
| ( sdtpldt0(sdtpldt0(X1,sdtpldt0(xl,X0)),sK0(sdtpldt0(X1,sdtpldt0(xl,X0)),sdtpldt0(X1,xl))) = sdtpldt0(X1,xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_220504,c_222310]) ).
tcf(c_223054,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,X0) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,X0))
| ~ sdtlseqdt0(xl,sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_220504,c_99]) ).
tcf(c_223055,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(xl,X0),sK0(sdtpldt0(xl,X0),xl)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_220504,c_65]) ).
tcf(c_223056,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(xl,X0),sK0(sdtpldt0(xl,X0),xl)) = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223055,c_49]) ).
tcf(c_223062,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,X0) = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,X0))
| ~ sdtlseqdt0(xl,sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223054,c_49]) ).
tcf(c_223069,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xl)
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223050,c_49]) ).
tcf(c_223077,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sdtpldt0(xl,X0),xl),sz00) = sK0(sdtpldt0(xl,X0),xl) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223051,c_49]) ).
tcf(c_223083,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,X0) = xl )
| ( sdtpldt0(sdtpldt0(X1,sdtpldt0(xl,X0)),sK0(sdtpldt0(X1,sdtpldt0(xl,X0)),sdtpldt0(X1,xl))) = sdtpldt0(X1,xl) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223053,c_49]) ).
tcf(c_223091,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,X0) = xl )
| ( sdtpldt0(sdtpldt0(sdtpldt0(xl,X0),X1),sK0(sdtpldt0(sdtpldt0(xl,X0),X1),sdtpldt0(xl,X1))) = sdtpldt0(xl,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223052,c_49]) ).
tcf(c_223116,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_220509,c_49,c_5052]) ).
tcf(c_223124,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xl,X0))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_98]) ).
tcf(c_223125,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xl,sdtpldt0(xl,X0)),sz00) = sK0(xl,sdtpldt0(xl,X0)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_220445]) ).
tcf(c_223126,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(xl,X0) = xl )
| ( sdtpldt0(sdtpldt0(xl,X1),sK0(sdtpldt0(xl,X1),sdtpldt0(sdtpldt0(xl,X0),X1))) = sdtpldt0(sdtpldt0(xl,X0),X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_222410]) ).
tcf(c_223127,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(xl,X0) = xl )
| ( sdtpldt0(sdtpldt0(X1,xl),sK0(sdtpldt0(X1,xl),sdtpldt0(X1,sdtpldt0(xl,X0)))) = sdtpldt0(X1,sdtpldt0(xl,X0)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_222310]) ).
tcf(c_223128,plain,
! [X0: $i] :
( ( sdtpldt0(xl,X0) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0))
| ~ sdtlseqdt0(sdtpldt0(xl,X0),xl) ),
inference(superposition,[status(thm)],[c_223116,c_99]) ).
tcf(c_223129,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0(xl,sdtpldt0(xl,X0))) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_65]) ).
tcf(c_223130,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0(xl,sdtpldt0(xl,X0))) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223129,c_49]) ).
tcf(c_223134,plain,
! [X0: $i] :
( ( sdtpldt0(xl,X0) = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0))
| ~ sdtlseqdt0(sdtpldt0(xl,X0),xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223128,c_49]) ).
tcf(c_223139,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xl,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223124,c_49]) ).
tcf(c_223145,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xl,sdtpldt0(xl,X0)),sz00) = sK0(xl,sdtpldt0(xl,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223125,c_49]) ).
tcf(c_223149,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(xl,X0) = xl )
| ( sdtpldt0(sdtpldt0(X1,xl),sK0(sdtpldt0(X1,xl),sdtpldt0(X1,sdtpldt0(xl,X0)))) = sdtpldt0(X1,sdtpldt0(xl,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223127,c_49]) ).
tcf(c_223155,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(xl,X0) = xl )
| ( sdtpldt0(sdtpldt0(xl,X1),sK0(sdtpldt0(xl,X1),sdtpldt0(sdtpldt0(xl,X0),X1))) = sdtpldt0(sdtpldt0(xl,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223126,c_49]) ).
tcf(c_223214,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sz00))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(X1,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_98]) ).
tcf(c_223215,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sK0(xl,sdtpldt0(X0,sz00)),sz00) = sK0(xl,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_220445]) ).
tcf(c_223216,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ( sdtpldt0(sdtpldt0(xl,X1),sK0(sdtpldt0(xl,X1),sdtpldt0(sdtpldt0(X0,sz00),X1))) = sdtpldt0(sdtpldt0(X0,sz00),X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_222410]) ).
tcf(c_223217,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ( sdtpldt0(sdtpldt0(X1,xl),sK0(sdtpldt0(X1,xl),sdtpldt0(X1,sdtpldt0(X0,sz00)))) = sdtpldt0(X1,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_222310]) ).
tcf(c_223218,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00))
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),xl) ),
inference(superposition,[status(thm)],[c_220514,c_99]) ).
tcf(c_223219,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xl,sK0(xl,sdtpldt0(X0,sz00))) = sdtpldt0(X0,sz00) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_65]) ).
tcf(c_223220,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xl,sK0(xl,sdtpldt0(X0,sz00))) = sdtpldt0(X0,sz00) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223219,c_49]) ).
tcf(c_223226,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00))
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223218,c_49]) ).
tcf(c_223233,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sz00))
| ( X0 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(X1,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223214,c_49]) ).
tcf(c_223241,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sK0(xl,sdtpldt0(X0,sz00)),sz00) = sK0(xl,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223215,c_49]) ).
tcf(c_223247,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ( sdtpldt0(sdtpldt0(X1,xl),sK0(sdtpldt0(X1,xl),sdtpldt0(X1,sdtpldt0(X0,sz00)))) = sdtpldt0(X1,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223217,c_49]) ).
tcf(c_223255,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ( sdtpldt0(sdtpldt0(xl,X1),sK0(sdtpldt0(xl,X1),sdtpldt0(sdtpldt0(X0,sz00),X1))) = sdtpldt0(sdtpldt0(X0,sz00),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223216,c_49]) ).
tcf(c_223281,plain,
( ( sdtpldt0(sK0(xm,xm),sz00) = sK0(xm,xm) )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222114,c_220445]) ).
tcf(c_223286,plain,
sdtpldt0(sK0(xm,xm),sz00) = sK0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_223281,c_50]) ).
tcf(c_223288,plain,
( ( sdtpldt0(sK0(xl,xl),sz00) = sK0(xl,xl) )
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222115,c_220445]) ).
tcf(c_223293,plain,
sdtpldt0(sK0(xl,xl),sz00) = sK0(xl,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_223288,c_49]) ).
tcf(c_223311,plain,
( ( sK0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) != xm ) ),
inference(superposition,[status(thm)],[c_222595,c_220533]) ).
tcf(c_223327,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| ( X1 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtpldt0(X1,sz00))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_98]) ).
tcf(c_223328,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sK0(sdtpldt0(X0,sz00),xm),sz00) = sK0(sdtpldt0(X0,sz00),xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_220445]) ).
tcf(c_223329,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ( sdtpldt0(sdtpldt0(sdtpldt0(X0,sz00),X1),sK0(sdtpldt0(sdtpldt0(X0,sz00),X1),sdtpldt0(xm,X1))) = sdtpldt0(xm,X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_222410]) ).
tcf(c_223330,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ( sdtpldt0(sdtpldt0(X1,sdtpldt0(X0,sz00)),sK0(sdtpldt0(X1,sdtpldt0(X0,sz00)),sdtpldt0(X1,xm))) = sdtpldt0(X1,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_222310]) ).
tcf(c_223331,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00))
| ~ sdtlseqdt0(xm,sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_99]) ).
tcf(c_223332,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtpldt0(X0,sz00),sK0(sdtpldt0(X0,sz00),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_65]) ).
tcf(c_223333,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtpldt0(X0,sz00),sK0(sdtpldt0(X0,sz00),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223332,c_50]) ).
tcf(c_223339,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00))
| ~ sdtlseqdt0(xm,sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223331,c_50]) ).
tcf(c_223346,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| ( X1 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtpldt0(X1,sz00))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223327,c_50]) ).
tcf(c_223354,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sK0(sdtpldt0(X0,sz00),xm),sz00) = sK0(sdtpldt0(X0,sz00),xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223328,c_50]) ).
tcf(c_223360,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ( sdtpldt0(sdtpldt0(X1,sdtpldt0(X0,sz00)),sK0(sdtpldt0(X1,sdtpldt0(X0,sz00)),sdtpldt0(X1,xm))) = sdtpldt0(X1,xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223330,c_50]) ).
tcf(c_223368,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ( sdtpldt0(sdtpldt0(sdtpldt0(X0,sz00),X1),sK0(sdtpldt0(sdtpldt0(X0,sz00),X1),sdtpldt0(xm,X1))) = sdtpldt0(xm,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223329,c_50]) ).
tcf(c_223406,plain,
! [X0: $i] :
( ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ( X0 = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_220542,c_49,c_4236,c_5052,c_5232,c_223062]) ).
tcf(c_223407,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(renaming,[status(thm)],[c_223406]) ).
tcf(c_223416,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_223407]) ).
tcf(c_223418,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223416,c_92]) ).
tcf(c_223422,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_220547,c_5853,c_223418]) ).
tcf(c_223432,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_98]) ).
tcf(c_223433,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(xm,sdtpldt0(xm,X0)),sz00) = sK0(xm,sdtpldt0(xm,X0)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_220445]) ).
tcf(c_223434,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,X0) = xm )
| ( sdtpldt0(sdtpldt0(xm,X1),sK0(sdtpldt0(xm,X1),sdtpldt0(sdtpldt0(xm,X0),X1))) = sdtpldt0(sdtpldt0(xm,X0),X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_222410]) ).
tcf(c_223435,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,X0) = xm )
| ( sdtpldt0(sdtpldt0(X1,xm),sK0(sdtpldt0(X1,xm),sdtpldt0(X1,sdtpldt0(xm,X0)))) = sdtpldt0(X1,sdtpldt0(xm,X0)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_222310]) ).
tcf(c_223436,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,X0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0))
| ~ sdtlseqdt0(sdtpldt0(xm,X0),xm) ),
inference(superposition,[status(thm)],[c_223422,c_99]) ).
tcf(c_223437,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK0(xm,sdtpldt0(xm,X0))) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_65]) ).
tcf(c_223438,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK0(xm,sdtpldt0(xm,X0))) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223437,c_50]) ).
tcf(c_223443,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,X0) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0))
| ~ sdtlseqdt0(sdtpldt0(xm,X0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223436,c_50]) ).
tcf(c_223449,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223432,c_50]) ).
tcf(c_223456,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(xm,sdtpldt0(xm,X0)),sz00) = sK0(xm,sdtpldt0(xm,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223433,c_50]) ).
tcf(c_223461,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,X0) = xm )
| ( sdtpldt0(sdtpldt0(X1,xm),sK0(sdtpldt0(X1,xm),sdtpldt0(X1,sdtpldt0(xm,X0)))) = sdtpldt0(X1,sdtpldt0(xm,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223435,c_50]) ).
tcf(c_223468,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,X0) = xm )
| ( sdtpldt0(sdtpldt0(xm,X1),sK0(sdtpldt0(xm,X1),sdtpldt0(sdtpldt0(xm,X0),X1))) = sdtpldt0(sdtpldt0(xm,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223434,c_50]) ).
tcf(c_223487,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_98]) ).
tcf(c_223488,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sK0(xm,sdtpldt0(X0,sz00)),sz00) = sK0(xm,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_220445]) ).
tcf(c_223489,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ( sdtpldt0(sdtpldt0(xm,X1),sK0(sdtpldt0(xm,X1),sdtpldt0(sdtpldt0(X0,sz00),X1))) = sdtpldt0(sdtpldt0(X0,sz00),X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_222410]) ).
tcf(c_223490,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ( sdtpldt0(sdtpldt0(X1,xm),sK0(sdtpldt0(X1,xm),sdtpldt0(X1,sdtpldt0(X0,sz00)))) = sdtpldt0(X1,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_222310]) ).
tcf(c_223491,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00))
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),xm) ),
inference(superposition,[status(thm)],[c_220552,c_99]) ).
tcf(c_223492,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(xm,sK0(xm,sdtpldt0(X0,sz00))) = sdtpldt0(X0,sz00) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_65]) ).
tcf(c_223493,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(xm,sK0(xm,sdtpldt0(X0,sz00))) = sdtpldt0(X0,sz00) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223492,c_50]) ).
tcf(c_223499,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00))
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223491,c_50]) ).
tcf(c_223506,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223487,c_50]) ).
tcf(c_223514,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sK0(xm,sdtpldt0(X0,sz00)),sz00) = sK0(xm,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223488,c_50]) ).
tcf(c_223520,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ( sdtpldt0(sdtpldt0(X1,xm),sK0(sdtpldt0(X1,xm),sdtpldt0(X1,sdtpldt0(X0,sz00)))) = sdtpldt0(X1,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223490,c_50]) ).
tcf(c_223528,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ( sdtpldt0(sdtpldt0(xm,X1),sK0(sdtpldt0(xm,X1),sdtpldt0(sdtpldt0(X0,sz00),X1))) = sdtpldt0(sdtpldt0(X0,sz00),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223489,c_50]) ).
tcf(c_223539,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_221394,c_84]) ).
tcf(c_223540,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_221394,c_133]) ).
tcf(c_223545,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_221394,c_88]) ).
tcf(c_223547,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_221394,c_84]) ).
tcf(c_223548,plain,
doDivides0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_223540,c_221332,c_92]) ).
tcf(c_223549,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223545,c_124385,c_221332,c_92]) ).
tcf(c_223553,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223547,c_124385,c_221332,c_92]) ).
tcf(c_223597,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_223548,c_78]) ).
tcf(c_223598,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_223548,c_95]) ).
tcf(c_223599,plain,
( ( sdtasdt0(xp,sK1(xp,sz00)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_223548,c_81]) ).
tcf(c_223600,plain,
sdtasdt0(xp,sK1(xp,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_223599,c_221332,c_92]) ).
tcf(c_223601,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223597,c_221332,c_92]) ).
tcf(c_223605,plain,
sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_223598,c_124385,c_221332,c_92]) ).
tcf(c_223612,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,xl)) = sdtasdt0(xl,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220565]) ).
tcf(c_223613,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,X0),sdtasdt0(xm,xl)) = sdtasdt0(xm,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220565]) ).
tcf(c_223614,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,X0),sdtasdt0(xn,xl)) = sdtasdt0(xn,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220565]) ).
tcf(c_223615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sdtasdt0(sdtpldt0(X0,X1),xl)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220565]) ).
tcf(c_223616,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sK0(X0,X1),X2),sdtasdt0(sK0(X0,X1),xl)) = sdtasdt0(sK0(X0,X1),sdtpldt0(X2,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220565]) ).
tcf(c_223617,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sdtasdt0(sdtasdt0(X0,X1),xl)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220565]) ).
tcf(c_223618,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sK1(X0,X1),X2),sdtasdt0(sK1(X0,X1),xl)) = sdtasdt0(sK1(X0,X1),sdtpldt0(X2,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220565]) ).
tcf(c_223619,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,xl)) = sdtasdt0(sz00,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220565]) ).
tcf(c_223620,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(X1,X0),X2),sdtasdt0(sdtsldt0(X1,X0),xl)) = sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(X2,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220565]) ).
tcf(c_223621,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,X0),sdtasdt0(xp,xl)) = sdtasdt0(xp,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220565]) ).
tcf(c_223624,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sz00) = sdtasdt0(sz00,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_223619,c_221292]) ).
tcf(c_223672,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,xm)) = sdtasdt0(xl,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220566]) ).
tcf(c_223673,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,X0),sdtasdt0(xm,xm)) = sdtasdt0(xm,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220566]) ).
tcf(c_223674,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,X0),sdtasdt0(xn,xm)) = sdtasdt0(xn,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220566]) ).
tcf(c_223675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sdtasdt0(sdtpldt0(X0,X1),xm)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xm)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220566]) ).
tcf(c_223676,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sK0(X0,X1),X2),sdtasdt0(sK0(X0,X1),xm)) = sdtasdt0(sK0(X0,X1),sdtpldt0(X2,xm)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220566]) ).
tcf(c_223677,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sdtasdt0(sdtasdt0(X0,X1),xm)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,xm)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220566]) ).
tcf(c_223678,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sK1(X0,X1),X2),sdtasdt0(sK1(X0,X1),xm)) = sdtasdt0(sK1(X0,X1),sdtpldt0(X2,xm)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220566]) ).
tcf(c_223679,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,xm)) = sdtasdt0(sz00,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220566]) ).
tcf(c_223680,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(X1,X0),X2),sdtasdt0(sdtsldt0(X1,X0),xm)) = sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(X2,xm)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220566]) ).
tcf(c_223681,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,X0),sdtasdt0(xp,xm)) = sdtasdt0(xp,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220566]) ).
tcf(c_223684,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sz00) = sdtasdt0(sz00,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_223679,c_221293]) ).
tcf(c_223779,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,xn)) = sdtasdt0(xl,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220567]) ).
tcf(c_223780,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,X0),sdtasdt0(xm,xn)) = sdtasdt0(xm,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220567]) ).
tcf(c_223781,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,X0),sdtasdt0(xn,xn)) = sdtasdt0(xn,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220567]) ).
tcf(c_223782,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sdtasdt0(sdtpldt0(X0,X1),xn)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xn)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220567]) ).
tcf(c_223783,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sK0(X0,X1),X2),sdtasdt0(sK0(X0,X1),xn)) = sdtasdt0(sK0(X0,X1),sdtpldt0(X2,xn)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220567]) ).
tcf(c_223784,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sdtasdt0(sdtasdt0(X0,X1),xn)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,xn)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220567]) ).
tcf(c_223785,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sK1(X0,X1),X2),sdtasdt0(sK1(X0,X1),xn)) = sdtasdt0(sK1(X0,X1),sdtpldt0(X2,xn)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220567]) ).
tcf(c_223786,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,xn)) = sdtasdt0(sz00,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220567]) ).
tcf(c_223787,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(X1,X0),X2),sdtasdt0(sdtsldt0(X1,X0),xn)) = sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(X2,xn)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220567]) ).
tcf(c_223788,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,X0),sdtasdt0(xp,xn)) = sdtasdt0(xp,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220567]) ).
tcf(c_223791,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sz00) = sdtasdt0(sz00,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_223786,c_221294]) ).
tcf(c_223860,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_221397,c_136]) ).
tcf(c_223866,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_221397,c_68]) ).
tcf(c_223867,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_221397,c_62]) ).
tcf(c_223868,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_221397,c_60]) ).
tcf(c_223870,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(superposition,[status(thm)],[c_221397,c_69]) ).
tcf(c_223871,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_221397,c_60]) ).
tcf(c_223872,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_221397,c_62]) ).
tcf(c_223873,plain,
sdtlseqdt0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_223860,c_221332,c_92]) ).
tcf(c_223874,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223870,c_221332,c_92]) ).
tcf(c_223878,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223866,c_221332,c_92]) ).
tcf(c_223883,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223871,c_221332,c_92]) ).
tcf(c_223888,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223868,c_221332,c_92]) ).
tcf(c_223893,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223867,c_221332,c_92]) ).
tcf(c_223923,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_223873,c_98]) ).
tcf(c_223924,plain,
( ( sdtpldt0(sK0(sz00,xp),sz00) = sK0(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_223873,c_220445]) ).
tcf(c_223925,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK0(sdtpldt0(sz00,X0),sdtpldt0(xp,X0))) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223873,c_222410]) ).
tcf(c_223926,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtpldt0(sdtpldt0(X0,sz00),sK0(sdtpldt0(X0,sz00),sdtpldt0(X0,xp))) = sdtpldt0(X0,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223873,c_222310]) ).
tcf(c_223927,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xp,sz00) ),
inference(superposition,[status(thm)],[c_223873,c_99]) ).
tcf(c_223928,plain,
( ( sdtpldt0(sz00,sK0(sz00,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_223873,c_65]) ).
tcf(c_223929,plain,
sdtpldt0(sz00,sK0(sz00,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_223928,c_221332,c_92]) ).
tcf(c_223930,plain,
~ sdtlseqdt0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_223927,c_124385,c_221332,c_92]) ).
tcf(c_223931,plain,
sdtpldt0(sK0(sz00,xp),sz00) = sK0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_223924,c_221332,c_92]) ).
tcf(c_223932,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223923,c_221332,c_92]) ).
tcf(c_223936,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(X0,sz00),sK0(sdtpldt0(X0,sz00),sdtpldt0(X0,xp))) = sdtpldt0(X0,xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223926,c_124385,c_221332,c_92]) ).
tcf(c_223939,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),sK0(sdtpldt0(sz00,X0),sdtpldt0(xp,X0))) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223925,c_124385,c_221332,c_92]) ).
tcf(c_223956,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xm,sdtpldt0(xm,xn)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_57,c_220568]) ).
tcf(c_223957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sK0(X0,X1))) = sdtasdt0(X2,sdtpldt0(X3,sK0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_220568]) ).
tcf(c_223958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtasdt0(X3,X4),sdtasdt0(X3,sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))) = sdtasdt0(X3,sdtpldt0(X4,sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_220568]) ).
tcf(c_223959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X3,X4),sdtasdt0(X3,sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1)))) = sdtasdt0(X3,sdtpldt0(X4,sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_220568]) ).
tcf(c_223960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sK0(X0,sdtpldt0(X0,X1)))) = sdtasdt0(X2,sdtpldt0(X3,sK0(X0,sdtpldt0(X0,X1)))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_220568]) ).
tcf(c_223961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sK0(X0,sdtasdt0(X0,X1)))) = sdtasdt0(X2,sdtpldt0(X3,sK0(X0,sdtasdt0(X0,X1)))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_220568]) ).
tcf(c_223962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X3,X4),sdtasdt0(X3,sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))) = sdtasdt0(X3,sdtpldt0(X4,sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_220568]) ).
tcf(c_223963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X3,X4),sdtasdt0(X3,sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1)))) = sdtasdt0(X3,sdtpldt0(X4,sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_220568]) ).
tcf(c_223964,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(X0,X0))) = sdtasdt0(X1,sdtpldt0(X2,sK0(X0,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_220568]) ).
tcf(c_223965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sK0(X1,X0))) = sdtasdt0(X2,sdtpldt0(X3,sK0(X1,X0))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_220568]) ).
tcf(c_223966,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(sz00,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK0(sz00,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221440,c_220568]) ).
tcf(c_223967,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xl,xl))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xl,xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222115,c_220568]) ).
tcf(c_223968,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xm,xm))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xm,xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222114,c_220568]) ).
tcf(c_223969,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xn,xn))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xn,xn))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222113,c_220568]) ).
tcf(c_223970,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(sz00,xl))) = sdtasdt0(X0,sdtpldt0(X1,sK0(sz00,xl))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222112,c_220568]) ).
tcf(c_223971,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(sz00,xm))) = sdtasdt0(X0,sdtpldt0(X1,sK0(sz00,xm))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222111,c_220568]) ).
tcf(c_223972,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(sz00,xn))) = sdtasdt0(X0,sdtpldt0(X1,sK0(sz00,xn))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222110,c_220568]) ).
tcf(c_223973,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(sz00,xp))) = sdtasdt0(X0,sdtpldt0(X1,sK0(sz00,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223873,c_220568]) ).
tcf(c_223974,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xl,sdtpldt0(xl,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xl,sdtpldt0(xl,X0)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_220568]) ).
tcf(c_223975,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xm,sdtpldt0(xm,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xm,sdtpldt0(xm,X0)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_220568]) ).
tcf(c_223976,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xl,sdtpldt0(X0,sz00)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xl,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_220568]) ).
tcf(c_223977,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xm,sdtpldt0(X0,sz00)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xm,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_220568]) ).
tcf(c_223978,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sdtpldt0(X0,sz00),xl))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_220568]) ).
tcf(c_223979,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sdtpldt0(X0,sz00),xm))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_220568]) ).
tcf(c_223980,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xn,xn))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xn,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223969,c_51]) ).
tcf(c_223984,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xm,xm))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xm,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223968,c_50]) ).
tcf(c_223988,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xl,xl))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xl,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223967,c_49]) ).
tcf(c_223992,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(sz00,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK0(sz00,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223966,c_92]) ).
tcf(c_224000,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(sz00,xp))) = sdtasdt0(X0,sdtpldt0(X1,sK0(sz00,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223973,c_221332,c_92]) ).
tcf(c_224004,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(sz00,xn))) = sdtasdt0(X0,sdtpldt0(X1,sK0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223972,c_92,c_51]) ).
tcf(c_224008,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(sz00,xm))) = sdtasdt0(X0,sdtpldt0(X1,sK0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223971,c_92,c_50]) ).
tcf(c_224012,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(sz00,xl))) = sdtasdt0(X0,sdtpldt0(X1,sK0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223970,c_92,c_49]) ).
tcf(c_224028,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xm,sdtpldt0(xm,xn)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223956,c_50]) ).
tcf(c_224033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xl,sdtpldt0(xl,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xl,sdtpldt0(xl,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223974,c_49]) ).
tcf(c_224045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xm,sdtpldt0(xm,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xm,sdtpldt0(xm,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223975,c_50]) ).
tcf(c_224059,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sdtpldt0(X0,sz00),xm))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xm))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223979,c_50]) ).
tcf(c_224067,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sdtpldt0(X0,sz00),xl))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xl))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223978,c_49]) ).
tcf(c_224075,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xm,sdtpldt0(X0,sz00)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xm,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223977,c_50]) ).
tcf(c_224083,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xl,sdtpldt0(X0,sz00)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xl,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_223976,c_49]) ).
tcf(c_224212,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,sz00)) = sdtasdt0(xl,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220569]) ).
tcf(c_224213,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,X0),sdtasdt0(xm,sz00)) = sdtasdt0(xm,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220569]) ).
tcf(c_224214,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,X0),sdtasdt0(xn,sz00)) = sdtasdt0(xn,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220569]) ).
tcf(c_224215,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sdtasdt0(sdtpldt0(X0,X1),sz00)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sz00)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220569]) ).
tcf(c_224216,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sK0(X0,X1),X2),sdtasdt0(sK0(X0,X1),sz00)) = sdtasdt0(sK0(X0,X1),sdtpldt0(X2,sz00)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220569]) ).
tcf(c_224217,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sdtasdt0(sdtasdt0(X0,X1),sz00)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,sz00)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220569]) ).
tcf(c_224218,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sK1(X0,X1),X2),sdtasdt0(sK1(X0,X1),sz00)) = sdtasdt0(sK1(X0,X1),sdtpldt0(X2,sz00)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220569]) ).
tcf(c_224219,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,sz00)) = sdtasdt0(sz00,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220569]) ).
tcf(c_224220,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(X1,X0),X2),sdtasdt0(sdtsldt0(X1,X0),sz00)) = sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(X2,sz00)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220569]) ).
tcf(c_224221,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,X0),sdtasdt0(xp,sz00)) = sdtasdt0(xp,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220569]) ).
tcf(c_224222,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,X0),sz00) = sdtasdt0(xp,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_224221,c_221394]) ).
tcf(c_224225,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sz00) = sdtasdt0(sz00,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_224219,c_221050]) ).
tcf(c_224228,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,X0),sz00) = sdtasdt0(xn,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_224214,c_221046]) ).
tcf(c_224231,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,X0),sz00) = sdtasdt0(xm,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_224213,c_221045]) ).
tcf(c_224234,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,X0),sz00) = sdtasdt0(xl,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_224212,c_221044]) ).
tcf(c_224295,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xl),sdtasdt0(xl,xl)) = sdtasdt0(sdtpldt0(X0,xl),xl) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220596]) ).
tcf(c_224296,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xl,xm)) = sdtasdt0(sdtpldt0(X0,xl),xm) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220596]) ).
tcf(c_224297,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xl,xn)) = sdtasdt0(sdtpldt0(X0,xl),xn) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220596]) ).
tcf(c_224298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtpldt0(X0,X1)),sdtasdt0(xl,sdtpldt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220596]) ).
tcf(c_224299,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK0(X0,X1)),sdtasdt0(xl,sK0(X0,X1))) = sdtasdt0(sdtpldt0(X2,xl),sK0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220596]) ).
tcf(c_224300,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X0,X1)),sdtasdt0(xl,sdtasdt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220596]) ).
tcf(c_224301,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK1(X0,X1)),sdtasdt0(xl,sK1(X0,X1))) = sdtasdt0(sdtpldt0(X2,xl),sK1(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220596]) ).
tcf(c_224302,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xl,sz00)) = sdtasdt0(sdtpldt0(X0,xl),sz00) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220596]) ).
tcf(c_224303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtsldt0(X1,X0)),sdtasdt0(xl,sdtsldt0(X1,X0))) = sdtasdt0(sdtpldt0(X2,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220596]) ).
tcf(c_224304,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(xl,xp)) = sdtasdt0(sdtpldt0(X0,xl),xp) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220596]) ).
tcf(c_224305,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xp),xm) = sdtasdt0(sdtpldt0(X0,xl),xp) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_224304,c_221469]) ).
tcf(c_224308,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,xl),sz00) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_224302,c_221044]) ).
tcf(c_224391,plain,
( sdtlseqdt0(xp,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_221400,c_136]) ).
tcf(c_224397,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_221400,c_68]) ).
tcf(c_224398,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_221400,c_62]) ).
tcf(c_224399,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_221400,c_60]) ).
tcf(c_224401,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(superposition,[status(thm)],[c_221400,c_69]) ).
tcf(c_224402,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_221400,c_60]) ).
tcf(c_224403,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_221400,c_62]) ).
tcf(c_224410,plain,
sdtlseqdt0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_224391,c_221332,c_92]) ).
tcf(c_224411,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224401,c_221332,c_92]) ).
tcf(c_224415,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224397,c_221332,c_92]) ).
tcf(c_224419,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224403,c_221332,c_92]) ).
tcf(c_224425,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224399,c_221332,c_92]) ).
tcf(c_224430,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224398,c_221332,c_92]) ).
tcf(c_224510,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xl),sdtasdt0(xm,xl)) = sdtasdt0(sdtpldt0(X0,xm),xl) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220597]) ).
tcf(c_224511,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xm,xm)) = sdtasdt0(sdtpldt0(X0,xm),xm) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220597]) ).
tcf(c_224512,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xm,xn)) = sdtasdt0(sdtpldt0(X0,xm),xn) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220597]) ).
tcf(c_224513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtpldt0(X0,X1)),sdtasdt0(xm,sdtpldt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220597]) ).
tcf(c_224514,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK0(X0,X1)),sdtasdt0(xm,sK0(X0,X1))) = sdtasdt0(sdtpldt0(X2,xm),sK0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220597]) ).
tcf(c_224515,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X0,X1)),sdtasdt0(xm,sdtasdt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220597]) ).
tcf(c_224516,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK1(X0,X1)),sdtasdt0(xm,sK1(X0,X1))) = sdtasdt0(sdtpldt0(X2,xm),sK1(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220597]) ).
tcf(c_224517,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xm,sz00)) = sdtasdt0(sdtpldt0(X0,xm),sz00) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220597]) ).
tcf(c_224518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtsldt0(X1,X0)),sdtasdt0(xm,sdtsldt0(X1,X0))) = sdtasdt0(sdtpldt0(X2,xm),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220597]) ).
tcf(c_224519,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(xm,xp)) = sdtasdt0(sdtpldt0(X0,xm),xp) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220597]) ).
tcf(c_224522,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,xm),sz00) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_224517,c_221045]) ).
tcf(c_224570,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xl),sdtasdt0(xn,xl)) = sdtasdt0(sdtpldt0(X0,xn),xl) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220598]) ).
tcf(c_224571,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xn,xm)) = sdtasdt0(sdtpldt0(X0,xn),xm) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220598]) ).
tcf(c_224572,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xn,xn)) = sdtasdt0(sdtpldt0(X0,xn),xn) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220598]) ).
tcf(c_224573,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtpldt0(X0,X1)),sdtasdt0(xn,sdtpldt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220598]) ).
tcf(c_224574,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK0(X0,X1)),sdtasdt0(xn,sK0(X0,X1))) = sdtasdt0(sdtpldt0(X2,xn),sK0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220598]) ).
tcf(c_224575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X0,X1)),sdtasdt0(xn,sdtasdt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220598]) ).
tcf(c_224576,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK1(X0,X1)),sdtasdt0(xn,sK1(X0,X1))) = sdtasdt0(sdtpldt0(X2,xn),sK1(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220598]) ).
tcf(c_224577,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xn,sz00)) = sdtasdt0(sdtpldt0(X0,xn),sz00) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220598]) ).
tcf(c_224578,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtsldt0(X1,X0)),sdtasdt0(xn,sdtsldt0(X1,X0))) = sdtasdt0(sdtpldt0(X2,xn),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220598]) ).
tcf(c_224579,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(xn,xp)) = sdtasdt0(sdtpldt0(X0,xn),xp) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220598]) ).
tcf(c_224582,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,xn),sz00) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_224577,c_221046]) ).
tcf(c_224636,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xm,sdtpldt0(xm,xn)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xn))),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_57,c_220599]) ).
tcf(c_224637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(sK0(X0,X1),X2)) = sdtasdt0(sdtpldt0(X3,sK0(X0,X1)),X2) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_220599]) ).
tcf(c_224638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtasdt0(X4,X3),sdtasdt0(sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)),X3)) = sdtasdt0(sdtpldt0(X4,sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))),X3) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_220599]) ).
tcf(c_224639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X4,X3),sdtasdt0(sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1)),X3)) = sdtasdt0(sdtpldt0(X4,sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))),X3) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_220599]) ).
tcf(c_224640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(sK0(X0,sdtpldt0(X0,X1)),X2)) = sdtasdt0(sdtpldt0(X3,sK0(X0,sdtpldt0(X0,X1))),X2) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_220599]) ).
tcf(c_224641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(sK0(X0,sdtasdt0(X0,X1)),X2)) = sdtasdt0(sdtpldt0(X3,sK0(X0,sdtasdt0(X0,X1))),X2) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_220599]) ).
tcf(c_224642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X4,X3),sdtasdt0(sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)),X3)) = sdtasdt0(sdtpldt0(X4,sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))),X3) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_220599]) ).
tcf(c_224643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X4,X3),sdtasdt0(sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1)),X3)) = sdtasdt0(sdtpldt0(X4,sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))),X3) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_220599]) ).
tcf(c_224644,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(X0,X0),X1)) = sdtasdt0(sdtpldt0(X2,sK0(X0,X0)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_220599]) ).
tcf(c_224645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(sK0(X1,X0),X2)) = sdtasdt0(sdtpldt0(X3,sK0(X1,X0)),X2) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_220599]) ).
tcf(c_224646,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(sz00,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK0(sz00,sz00)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221440,c_220599]) ).
tcf(c_224647,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xl,xl),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xl,xl)),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222115,c_220599]) ).
tcf(c_224648,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xm,xm),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xm,xm)),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222114,c_220599]) ).
tcf(c_224649,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xn,xn),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xn,xn)),X0) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222113,c_220599]) ).
tcf(c_224650,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(sz00,xl),X0)) = sdtasdt0(sdtpldt0(X1,sK0(sz00,xl)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222112,c_220599]) ).
tcf(c_224651,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(sz00,xm),X0)) = sdtasdt0(sdtpldt0(X1,sK0(sz00,xm)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222111,c_220599]) ).
tcf(c_224652,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(sz00,xn),X0)) = sdtasdt0(sdtpldt0(X1,sK0(sz00,xn)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222110,c_220599]) ).
tcf(c_224653,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(sz00,xp),X0)) = sdtasdt0(sdtpldt0(X1,sK0(sz00,xp)),X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223873,c_220599]) ).
tcf(c_224654,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xl,sdtpldt0(xl,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xl,sdtpldt0(xl,X0))),X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_220599]) ).
tcf(c_224655,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xm,sdtpldt0(xm,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xm,sdtpldt0(xm,X0))),X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_220599]) ).
tcf(c_224656,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xl,sdtpldt0(X0,sz00)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xl,sdtpldt0(X0,sz00))),X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_220599]) ).
tcf(c_224657,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xm,sdtpldt0(X0,sz00)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xm,sdtpldt0(X0,sz00))),X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_220599]) ).
tcf(c_224658,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sdtpldt0(X0,sz00),xl),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xl)),X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_220599]) ).
tcf(c_224659,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sdtpldt0(X0,sz00),xm),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xm)),X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_220599]) ).
tcf(c_224660,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xn,xn),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xn,xn)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224649,c_51]) ).
tcf(c_224664,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xm,xm),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xm,xm)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224648,c_50]) ).
tcf(c_224668,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xl,xl),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xl,xl)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224647,c_49]) ).
tcf(c_224672,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(sz00,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK0(sz00,sz00)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224646,c_92]) ).
tcf(c_224680,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(sz00,xp),X0)) = sdtasdt0(sdtpldt0(X1,sK0(sz00,xp)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224653,c_221332,c_92]) ).
tcf(c_224684,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(sz00,xn),X0)) = sdtasdt0(sdtpldt0(X1,sK0(sz00,xn)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224652,c_92,c_51]) ).
tcf(c_224688,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(sz00,xm),X0)) = sdtasdt0(sdtpldt0(X1,sK0(sz00,xm)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224651,c_92,c_50]) ).
tcf(c_224692,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(sz00,xl),X0)) = sdtasdt0(sdtpldt0(X1,sK0(sz00,xl)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224650,c_92,c_49]) ).
tcf(c_224708,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xm,sdtpldt0(xm,xn)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xn))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224636,c_50]) ).
tcf(c_224713,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xl,sdtpldt0(xl,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xl,sdtpldt0(xl,X0))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224654,c_49]) ).
tcf(c_224725,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xm,sdtpldt0(xm,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xm,sdtpldt0(xm,X0))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224655,c_50]) ).
tcf(c_224739,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sdtpldt0(X0,sz00),xm),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xm)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224659,c_50]) ).
tcf(c_224747,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sdtpldt0(X0,sz00),xl),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xl)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224658,c_49]) ).
tcf(c_224755,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xm,sdtpldt0(X0,sz00)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xm,sdtpldt0(X0,sz00))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224657,c_50]) ).
tcf(c_224763,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xl,sdtpldt0(X0,sz00)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xl,sdtpldt0(X0,sz00))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224656,c_49]) ).
tcf(c_224988,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xp,xp),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xp,xp)),X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_224410,c_220599]) ).
tcf(c_224989,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xp,xp))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xp,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_224410,c_220568]) ).
tcf(c_224990,plain,
( ( sdtpldt0(sK0(xp,xp),sz00) = sK0(xp,xp) )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_224410,c_220445]) ).
tcf(c_224995,plain,
sdtpldt0(sK0(xp,xp),sz00) = sK0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_224990,c_221332]) ).
tcf(c_224996,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xp,xp))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xp,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224989,c_221332]) ).
tcf(c_225000,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xp,xp),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xp,xp)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224988,c_221332]) ).
tcf(c_225006,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_221469,c_86]) ).
tcf(c_225007,plain,
( sdtlseqdt0(xl,xm)
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_221469,c_82]) ).
tcf(c_225009,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_221469,c_84]) ).
tcf(c_225012,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xm ) ),
inference(superposition,[status(thm)],[c_221469,c_89]) ).
tcf(c_225015,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != xm ) ),
inference(superposition,[status(thm)],[c_221469,c_88]) ).
tcf(c_225016,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_221469,c_86]) ).
tcf(c_225017,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_221469,c_84]) ).
tcf(c_225018,plain,
sdtlseqdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_225007,c_124385,c_221332,c_49]) ).
tcf(c_225019,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225015,c_54,c_221332,c_49]) ).
tcf(c_225023,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225012,c_124385,c_221332,c_49]) ).
tcf(c_225027,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225017,c_54,c_221332,c_49]) ).
tcf(c_225032,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225016,c_124385,c_221332,c_49]) ).
tcf(c_225037,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225009,c_54,c_221332,c_49]) ).
tcf(c_225042,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),xm)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225006,c_124385,c_221332,c_49]) ).
tcf(c_225053,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xl),sdtasdt0(sz00,xl)) = sdtasdt0(sdtpldt0(X0,sz00),xl) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220600]) ).
tcf(c_225054,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(sz00,xm)) = sdtasdt0(sdtpldt0(X0,sz00),xm) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220600]) ).
tcf(c_225055,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(sz00,xn)) = sdtasdt0(sdtpldt0(X0,sz00),xn) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220600]) ).
tcf(c_225056,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtpldt0(X0,X1)),sdtasdt0(sz00,sdtpldt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220600]) ).
tcf(c_225057,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK0(X0,X1)),sdtasdt0(sz00,sK0(X0,X1))) = sdtasdt0(sdtpldt0(X2,sz00),sK0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220600]) ).
tcf(c_225058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X0,X1)),sdtasdt0(sz00,sdtasdt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,sz00),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220600]) ).
tcf(c_225059,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK1(X0,X1)),sdtasdt0(sz00,sK1(X0,X1))) = sdtasdt0(sdtpldt0(X2,sz00),sK1(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220600]) ).
tcf(c_225060,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz00,sz00)) = sdtasdt0(sdtpldt0(X0,sz00),sz00) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220600]) ).
tcf(c_225061,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtsldt0(X1,X0)),sdtasdt0(sz00,sdtsldt0(X1,X0))) = sdtasdt0(sdtpldt0(X2,sz00),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220600]) ).
tcf(c_225062,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(sz00,xp)) = sdtasdt0(sdtpldt0(X0,sz00),xp) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220600]) ).
tcf(c_225063,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xp),sz00) = sdtasdt0(sdtpldt0(X0,sz00),xp) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_225062,c_221393]) ).
tcf(c_225066,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,sz00),sz00) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_225060,c_221050]) ).
tcf(c_225069,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xn),sz00) = sdtasdt0(sdtpldt0(X0,sz00),xn) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_225055,c_221294]) ).
tcf(c_225072,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xm),sz00) = sdtasdt0(sdtpldt0(X0,sz00),xm) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_225054,c_221293]) ).
tcf(c_225075,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xl),sz00) = sdtasdt0(sdtpldt0(X0,sz00),xl) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_225053,c_221292]) ).
tcf(c_225127,plain,
( ( sdtpldt0(sz00,sK0(xm,sdtpldt0(xm,xn))) = sK0(xm,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_57,c_220626]) ).
tcf(c_225128,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(sz00,sK0(X0,X1)) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_220626]) ).
tcf(c_225129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sz00,sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))) = sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_220626]) ).
tcf(c_225130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sz00,sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))) = sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_220626]) ).
tcf(c_225131,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK0(X0,sdtpldt0(X0,X1))) = sK0(X0,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_220626]) ).
tcf(c_225132,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sz00,sK0(X0,sdtasdt0(X0,X1))) = sK0(X0,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_220626]) ).
tcf(c_225133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_220626]) ).
tcf(c_225134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sz00,sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))) = sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_220626]) ).
tcf(c_225135,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sK0(X0,X0)) = sK0(X0,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_220626]) ).
tcf(c_225136,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(sz00,sK0(X1,X0)) = sK0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_220626]) ).
tcf(c_225137,plain,
( ( sdtpldt0(sz00,sK0(sz00,sz00)) = sK0(sz00,sz00) )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_221440,c_220626]) ).
tcf(c_225138,plain,
( ( sdtpldt0(sz00,sK0(xl,xl)) = sK0(xl,xl) )
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222115,c_220626]) ).
tcf(c_225139,plain,
( ( sdtpldt0(sz00,sK0(xm,xm)) = sK0(xm,xm) )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222114,c_220626]) ).
tcf(c_225140,plain,
( ( sdtpldt0(sz00,sK0(xn,xn)) = sK0(xn,xn) )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222113,c_220626]) ).
tcf(c_225141,plain,
( ( sdtpldt0(sz00,sK0(sz00,xl)) = sK0(sz00,xl) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222112,c_220626]) ).
tcf(c_225142,plain,
( ( sdtpldt0(sz00,sK0(sz00,xm)) = sK0(sz00,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222111,c_220626]) ).
tcf(c_225143,plain,
( ( sdtpldt0(sz00,sK0(sz00,xn)) = sK0(sz00,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222110,c_220626]) ).
tcf(c_225144,plain,
( ( sdtpldt0(sz00,sK0(sz00,xp)) = sK0(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_223873,c_220626]) ).
tcf(c_225145,plain,
( ( sdtpldt0(sz00,sK0(xp,xp)) = sK0(xp,xp) )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_224410,c_220626]) ).
tcf(c_225146,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sK0(xl,sdtpldt0(xl,X0))) = sK0(xl,sdtpldt0(xl,X0)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_220626]) ).
tcf(c_225147,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(xm,sdtpldt0(xm,X0))) = sK0(xm,sdtpldt0(xm,X0)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_220626]) ).
tcf(c_225148,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,sK0(xl,sdtpldt0(X0,sz00))) = sK0(xl,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_220626]) ).
tcf(c_225149,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,sK0(xm,sdtpldt0(X0,sz00))) = sK0(xm,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_220626]) ).
tcf(c_225150,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,sK0(sdtpldt0(X0,sz00),xl)) = sK0(sdtpldt0(X0,sz00),xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_220626]) ).
tcf(c_225151,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,sK0(sdtpldt0(X0,sz00),xm)) = sK0(sdtpldt0(X0,sz00),xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_220626]) ).
tcf(c_225152,plain,
sdtpldt0(sz00,sK0(xp,xp)) = sK0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_225145,c_221332]) ).
tcf(c_225153,plain,
sdtpldt0(sz00,sK0(xn,xn)) = sK0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_225140,c_51]) ).
tcf(c_225154,plain,
sdtpldt0(sz00,sK0(xm,xm)) = sK0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_225139,c_50]) ).
tcf(c_225155,plain,
sdtpldt0(sz00,sK0(xl,xl)) = sK0(xl,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_225138,c_49]) ).
tcf(c_225156,plain,
( ( sK0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(light_normalisation,[status(thm)],[c_225137,c_221590]) ).
tcf(c_225157,plain,
sK0(sz00,sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_225156,c_92]) ).
tcf(c_225160,plain,
( ( sK0(sz00,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(light_normalisation,[status(thm)],[c_225144,c_223929]) ).
tcf(c_225161,plain,
sK0(sz00,xp) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_225160,c_221332,c_92]) ).
tcf(c_225162,plain,
( ( sK0(sz00,xn) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(light_normalisation,[status(thm)],[c_225143,c_222852]) ).
tcf(c_225163,plain,
sK0(sz00,xn) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_225162,c_92,c_51]) ).
tcf(c_225164,plain,
( ( sK0(sz00,xm) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(light_normalisation,[status(thm)],[c_225142,c_222887]) ).
tcf(c_225165,plain,
sK0(sz00,xm) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_225164,c_92,c_50]) ).
tcf(c_225166,plain,
( ( sK0(sz00,xl) = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(light_normalisation,[status(thm)],[c_225141,c_223017]) ).
tcf(c_225167,plain,
sK0(sz00,xl) = xl,
inference(forward_subsumption_resolution,[status(thm)],[c_225166,c_92,c_49]) ).
tcf(c_225176,plain,
( ( sdtpldt0(sz00,sK0(xm,sdtpldt0(xm,xn))) = sK0(xm,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225127,c_50]) ).
tcf(c_225179,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sK0(xl,sdtpldt0(xl,X0))) = sK0(xl,sdtpldt0(xl,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225146,c_49]) ).
tcf(c_225187,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(xm,sdtpldt0(xm,X0))) = sK0(xm,sdtpldt0(xm,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225147,c_50]) ).
tcf(c_225197,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,sK0(sdtpldt0(X0,sz00),xm)) = sK0(sdtpldt0(X0,sz00),xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225151,c_50]) ).
tcf(c_225203,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,sK0(sdtpldt0(X0,sz00),xl)) = sK0(sdtpldt0(X0,sz00),xl) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225150,c_49]) ).
tcf(c_225209,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,sK0(xm,sdtpldt0(X0,sz00))) = sK0(xm,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225149,c_50]) ).
tcf(c_225215,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,sK0(xl,sdtpldt0(X0,sz00))) = sK0(xl,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225148,c_49]) ).
tcf(c_225366,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_225018,c_98]) ).
tcf(c_225367,plain,
( ( sdtpldt0(sz00,sK0(xl,xm)) = sK0(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_225018,c_220626]) ).
tcf(c_225368,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xl,xm),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xl,xm)),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225018,c_220599]) ).
tcf(c_225369,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xl,xm))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xl,xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225018,c_220568]) ).
tcf(c_225370,plain,
( ( sdtpldt0(sK0(xl,xm),sz00) = sK0(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_225018,c_220445]) ).
tcf(c_225371,plain,
! [X0: $i] :
( ( xl = xm )
| ( sdtpldt0(sdtpldt0(xl,X0),sK0(sdtpldt0(xl,X0),sdtpldt0(xm,X0))) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225018,c_222410]) ).
tcf(c_225372,plain,
! [X0: $i] :
( ( xl = xm )
| ( sdtpldt0(sdtpldt0(X0,xl),sK0(sdtpldt0(X0,xl),sdtpldt0(X0,xm))) = sdtpldt0(X0,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225018,c_222310]) ).
tcf(c_225373,plain,
( ( xl = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xm,xl) ),
inference(superposition,[status(thm)],[c_225018,c_99]) ).
tcf(c_225374,plain,
( ( sdtpldt0(xl,sK0(xl,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_225018,c_65]) ).
tcf(c_225375,plain,
sdtpldt0(xl,sK0(xl,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_225374,c_50,c_49]) ).
tcf(c_225376,plain,
( ( xl = xm )
| ~ sdtlseqdt0(xm,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225373,c_50,c_49]) ).
tcf(c_225379,plain,
sdtpldt0(sK0(xl,xm),sz00) = sK0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_225370,c_50,c_49]) ).
tcf(c_225380,plain,
sdtpldt0(sz00,sK0(xl,xm)) = sK0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_225367,c_50,c_49]) ).
tcf(c_225381,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225366,c_50,c_49]) ).
tcf(c_225385,plain,
! [X0: $i] :
( ( xl = xm )
| ( sdtpldt0(sdtpldt0(X0,xl),sK0(sdtpldt0(X0,xl),sdtpldt0(X0,xm))) = sdtpldt0(X0,xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225372,c_50,c_49]) ).
tcf(c_225389,plain,
! [X0: $i] :
( ( xl = xm )
| ( sdtpldt0(sdtpldt0(xl,X0),sK0(sdtpldt0(xl,X0),sdtpldt0(xm,X0))) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225371,c_50,c_49]) ).
tcf(c_225393,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xl,xm))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225369,c_50,c_49]) ).
tcf(c_225397,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xl,xm),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xl,xm)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225368,c_50,c_49]) ).
tcf(c_225405,plain,
sdtlseqdt0(xq,xp),
inference(global_subsumption_just,[status(thm)],[c_221496,c_2501,c_3062,c_3748]) ).
tcf(c_225407,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_225405,c_98]) ).
tcf(c_225408,plain,
( ( sdtpldt0(sz00,sK0(xq,xp)) = sK0(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_225405,c_220626]) ).
tcf(c_225409,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xq,xp),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xq,xp)),X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225405,c_220599]) ).
tcf(c_225410,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xq,xp))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xq,xp))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225405,c_220568]) ).
tcf(c_225411,plain,
( ( sdtpldt0(sK0(xq,xp),sz00) = sK0(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_225405,c_220445]) ).
tcf(c_225412,plain,
! [X0: $i] :
( ( xp = xq )
| ( sdtpldt0(sdtpldt0(xq,X0),sK0(sdtpldt0(xq,X0),sdtpldt0(xp,X0))) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225405,c_222410]) ).
tcf(c_225413,plain,
! [X0: $i] :
( ( xp = xq )
| ( sdtpldt0(sdtpldt0(X0,xq),sK0(sdtpldt0(X0,xq),sdtpldt0(X0,xp))) = sdtpldt0(X0,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225405,c_222310]) ).
tcf(c_225415,plain,
( ( sdtpldt0(xq,sK0(xq,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_225405,c_65]) ).
tcf(c_225416,plain,
( ( sdtpldt0(xq,sK0(xq,xp)) = xp )
| ~ aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225415,c_221332]) ).
tcf(c_225419,plain,
( ( sdtpldt0(sK0(xq,xp),sz00) = sK0(xq,xp) )
| ~ aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225411,c_221332]) ).
tcf(c_225422,plain,
( ( sdtpldt0(sz00,sK0(xq,xp)) = sK0(xq,xp) )
| ~ aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225408,c_221332]) ).
tcf(c_225425,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225407,c_221332]) ).
tcf(c_225430,plain,
! [X0: $i] :
( ( xp = xq )
| ( sdtpldt0(sdtpldt0(X0,xq),sK0(sdtpldt0(X0,xq),sdtpldt0(X0,xp))) = sdtpldt0(X0,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225413,c_221332]) ).
tcf(c_225435,plain,
! [X0: $i] :
( ( xp = xq )
| ( sdtpldt0(sdtpldt0(xq,X0),sK0(sdtpldt0(xq,X0),sdtpldt0(xp,X0))) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225412,c_221332]) ).
tcf(c_225440,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xq,xp))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xq,xp))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225410,c_221332]) ).
tcf(c_225445,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xq,xp),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xq,xp)),X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225409,c_221332]) ).
tcf(c_225489,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xn)
| ( X1 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(X1,sz00))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_98]) ).
tcf(c_225490,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,sK0(sdtpldt0(X0,sz00),xn)) = sK0(sdtpldt0(X0,sz00),xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_220626]) ).
tcf(c_225491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sdtpldt0(X0,sz00),xn),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xn)),X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_220599]) ).
tcf(c_225492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sdtpldt0(X0,sz00),xn))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xn))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_220568]) ).
tcf(c_225493,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sK0(sdtpldt0(X0,sz00),xn),sz00) = sK0(sdtpldt0(X0,sz00),xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_220445]) ).
tcf(c_225494,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ( sdtpldt0(sdtpldt0(sdtpldt0(X0,sz00),X1),sK0(sdtpldt0(sdtpldt0(X0,sz00),X1),sdtpldt0(xn,X1))) = sdtpldt0(xn,X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_222410]) ).
tcf(c_225495,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ( sdtpldt0(sdtpldt0(X1,sdtpldt0(X0,sz00)),sK0(sdtpldt0(X1,sdtpldt0(X0,sz00)),sdtpldt0(X1,xn))) = sdtpldt0(X1,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_222310]) ).
tcf(c_225496,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00))
| ~ sdtlseqdt0(xn,sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_99]) ).
tcf(c_225497,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X0,sz00),sK0(sdtpldt0(X0,sz00),xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_65]) ).
tcf(c_225498,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X0,sz00),sK0(sdtpldt0(X0,sz00),xn)) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225497,c_51]) ).
tcf(c_225504,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00))
| ~ sdtlseqdt0(xn,sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225496,c_51]) ).
tcf(c_225511,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xn)
| ( X1 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(X1,sz00))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225489,c_51]) ).
tcf(c_225519,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sK0(sdtpldt0(X0,sz00),xn),sz00) = sK0(sdtpldt0(X0,sz00),xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225493,c_51]) ).
tcf(c_225525,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,sK0(sdtpldt0(X0,sz00),xn)) = sK0(sdtpldt0(X0,sz00),xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225490,c_51]) ).
tcf(c_225531,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sdtpldt0(X0,sz00),xn))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xn))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225492,c_51]) ).
tcf(c_225539,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sdtpldt0(X0,sz00),xn),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xn)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225491,c_51]) ).
tcf(c_225547,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ( sdtpldt0(sdtpldt0(X1,sdtpldt0(X0,sz00)),sK0(sdtpldt0(X1,sdtpldt0(X0,sz00)),sdtpldt0(X1,xn))) = sdtpldt0(X1,xn) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225495,c_51]) ).
tcf(c_225555,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ( sdtpldt0(sdtpldt0(sdtpldt0(X0,sz00),X1),sK0(sdtpldt0(sdtpldt0(X0,sz00),X1),sdtpldt0(xn,X1))) = sdtpldt0(xn,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225494,c_51]) ).
tcf(c_225574,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ~ aNaturalNumber0(X0) ),
inference(resolution,[status(thm)],[c_51,c_136]) ).
tcf(c_225602,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_220660,c_225574]) ).
tcf(c_225609,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xn,X0))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_98]) ).
tcf(c_225610,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sK0(xn,sdtpldt0(xn,X0))) = sK0(xn,sdtpldt0(xn,X0)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_220626]) ).
tcf(c_225611,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xn,sdtpldt0(xn,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xn,sdtpldt0(xn,X0))),X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_220599]) ).
tcf(c_225612,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xn,sdtpldt0(xn,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xn,sdtpldt0(xn,X0)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_220568]) ).
tcf(c_225613,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xn,sdtpldt0(xn,X0)),sz00) = sK0(xn,sdtpldt0(xn,X0)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_220445]) ).
tcf(c_225614,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(xn,X0) = xn )
| ( sdtpldt0(sdtpldt0(xn,X1),sK0(sdtpldt0(xn,X1),sdtpldt0(sdtpldt0(xn,X0),X1))) = sdtpldt0(sdtpldt0(xn,X0),X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_222410]) ).
tcf(c_225615,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(xn,X0) = xn )
| ( sdtpldt0(sdtpldt0(X1,xn),sK0(sdtpldt0(X1,xn),sdtpldt0(X1,sdtpldt0(xn,X0)))) = sdtpldt0(X1,sdtpldt0(xn,X0)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_222310]) ).
tcf(c_225616,plain,
! [X0: $i] :
( ( sdtpldt0(xn,X0) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(sdtpldt0(xn,X0),xn) ),
inference(superposition,[status(thm)],[c_225602,c_99]) ).
tcf(c_225617,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK0(xn,sdtpldt0(xn,X0))) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_65]) ).
tcf(c_225618,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK0(xn,sdtpldt0(xn,X0))) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225617,c_51]) ).
tcf(c_225622,plain,
! [X0: $i] :
( ( sdtpldt0(xn,X0) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(sdtpldt0(xn,X0),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225616,c_51]) ).
tcf(c_225627,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xn,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225609,c_51]) ).
tcf(c_225633,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xn,sdtpldt0(xn,X0)),sz00) = sK0(xn,sdtpldt0(xn,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225613,c_51]) ).
tcf(c_225637,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sK0(xn,sdtpldt0(xn,X0))) = sK0(xn,sdtpldt0(xn,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225610,c_51]) ).
tcf(c_225641,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xn,sdtpldt0(xn,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xn,sdtpldt0(xn,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225612,c_51]) ).
tcf(c_225647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xn,sdtpldt0(xn,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xn,sdtpldt0(xn,X0))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225611,c_51]) ).
tcf(c_225653,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(xn,X0) = xn )
| ( sdtpldt0(sdtpldt0(X1,xn),sK0(sdtpldt0(X1,xn),sdtpldt0(X1,sdtpldt0(xn,X0)))) = sdtpldt0(X1,sdtpldt0(xn,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225615,c_51]) ).
tcf(c_225659,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(xn,X0) = xn )
| ( sdtpldt0(sdtpldt0(xn,X1),sK0(sdtpldt0(xn,X1),sdtpldt0(sdtpldt0(xn,X0),X1))) = sdtpldt0(sdtpldt0(xn,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225614,c_51]) ).
tcf(c_225711,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_98]) ).
tcf(c_225712,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,sK0(xn,sdtpldt0(X0,sz00))) = sK0(xn,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_220626]) ).
tcf(c_225713,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xn,sdtpldt0(X0,sz00)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xn,sdtpldt0(X0,sz00))),X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_220599]) ).
tcf(c_225714,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xn,sdtpldt0(X0,sz00)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xn,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_220568]) ).
tcf(c_225715,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sK0(xn,sdtpldt0(X0,sz00)),sz00) = sK0(xn,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_220445]) ).
tcf(c_225716,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ( sdtpldt0(sdtpldt0(xn,X1),sK0(sdtpldt0(xn,X1),sdtpldt0(sdtpldt0(X0,sz00),X1))) = sdtpldt0(sdtpldt0(X0,sz00),X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_222410]) ).
tcf(c_225717,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ( sdtpldt0(sdtpldt0(X1,xn),sK0(sdtpldt0(X1,xn),sdtpldt0(X1,sdtpldt0(X0,sz00)))) = sdtpldt0(X1,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_222310]) ).
tcf(c_225718,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00))
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),xn) ),
inference(superposition,[status(thm)],[c_220665,c_99]) ).
tcf(c_225719,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xn,sK0(xn,sdtpldt0(X0,sz00))) = sdtpldt0(X0,sz00) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_65]) ).
tcf(c_225720,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xn,sK0(xn,sdtpldt0(X0,sz00))) = sdtpldt0(X0,sz00) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225719,c_51]) ).
tcf(c_225726,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00))
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225718,c_51]) ).
tcf(c_225733,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225711,c_51]) ).
tcf(c_225741,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sK0(xn,sdtpldt0(X0,sz00)),sz00) = sK0(xn,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225715,c_51]) ).
tcf(c_225747,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,sK0(xn,sdtpldt0(X0,sz00))) = sK0(xn,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225712,c_51]) ).
tcf(c_225753,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xn,sdtpldt0(X0,sz00)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xn,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225714,c_51]) ).
tcf(c_225761,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xn,sdtpldt0(X0,sz00)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xn,sdtpldt0(X0,sz00))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225713,c_51]) ).
tcf(c_225769,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ( sdtpldt0(sdtpldt0(X1,xn),sK0(sdtpldt0(X1,xn),sdtpldt0(X1,sdtpldt0(X0,sz00)))) = sdtpldt0(X1,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225717,c_51]) ).
tcf(c_225777,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ( sdtpldt0(sdtpldt0(xn,X1),sK0(sdtpldt0(xn,X1),sdtpldt0(sdtpldt0(X0,sz00),X1))) = sdtpldt0(sdtpldt0(X0,sz00),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225716,c_51]) ).
tcf(c_225856,plain,
aNaturalNumber0(xq),
inference(global_subsumption_just,[status(thm)],[c_221333,c_3748]) ).
tcf(c_225858,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xq),sdtasdt0(sz00,xq)) = sdtasdt0(sdtpldt0(X0,sz00),xq) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220600]) ).
tcf(c_225859,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xq),sdtasdt0(xn,xq)) = sdtasdt0(sdtpldt0(X0,xn),xq) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220598]) ).
tcf(c_225860,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xq),sdtasdt0(xm,xq)) = sdtasdt0(sdtpldt0(X0,xm),xq) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220597]) ).
tcf(c_225861,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xq),sdtasdt0(xl,xq)) = sdtasdt0(sdtpldt0(X0,xl),xq) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220596]) ).
tcf(c_225862,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,X0),sdtasdt0(xq,sz00)) = sdtasdt0(xq,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220569]) ).
tcf(c_225863,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,X0),sdtasdt0(xq,xn)) = sdtasdt0(xq,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220567]) ).
tcf(c_225864,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,X0),sdtasdt0(xq,xm)) = sdtasdt0(xq,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220566]) ).
tcf(c_225865,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,X0),sdtasdt0(xq,xl)) = sdtasdt0(xq,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220565]) ).
tcf(c_225866,plain,
sdtpldt0(xq,sK0(xq,xq)) = xq,
inference(superposition,[status(thm)],[c_225856,c_220435]) ).
tcf(c_225867,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sdtsldt0(sdtasdt0(xq,X0),xq) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_143]) ).
tcf(c_225868,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xq) = sdtasdt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_102]) ).
tcf(c_225869,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xq) = sdtasdt0(X0,sdtasdt0(X1,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_101]) ).
tcf(c_225870,plain,
sdtasdt0(sz00,xq) = sz00,
inference(superposition,[status(thm)],[c_225856,c_91]) ).
tcf(c_225871,plain,
sdtasdt0(xq,sz00) = sz00,
inference(superposition,[status(thm)],[c_225856,c_90]) ).
tcf(c_225872,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xq) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_75]) ).
tcf(c_225873,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xq) = sdtpldt0(X0,sdtpldt0(X1,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_74]) ).
tcf(c_225874,plain,
sdtpldt0(sz00,xq) = xq,
inference(superposition,[status(thm)],[c_225856,c_73]) ).
tcf(c_225875,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(xq,X0)) = sdtasdt0(sdtpldt0(X1,xq),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_71]) ).
tcf(c_225876,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xq)) = sdtasdt0(X0,sdtpldt0(X1,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_70]) ).
tcf(c_225877,plain,
sdtpldt0(xq,sz00) = xq,
inference(superposition,[status(thm)],[c_225856,c_72]) ).
tcf(c_225950,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(X0) ),
inference(resolution,[status(thm)],[c_92,c_136]) ).
tcf(c_226002,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_220698,c_225950]) ).
tcf(c_226013,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_98]) ).
tcf(c_226014,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz00,X0))) = sK0(sz00,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_220626]) ).
tcf(c_226015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sz00,sdtpldt0(sz00,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sz00,sdtpldt0(sz00,X0))),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_220599]) ).
tcf(c_226016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sz00,sdtpldt0(sz00,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sz00,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_220568]) ).
tcf(c_226017,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(sz00,sdtpldt0(sz00,X0)),sz00) = sK0(sz00,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_220445]) ).
tcf(c_226018,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,X0) = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X1),sK0(sdtpldt0(sz00,X1),sdtpldt0(sdtpldt0(sz00,X0),X1))) = sdtpldt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_222410]) ).
tcf(c_226019,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,X0) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sz00),sK0(sdtpldt0(X1,sz00),sdtpldt0(X1,sdtpldt0(sz00,X0)))) = sdtpldt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_222310]) ).
tcf(c_226020,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_226002,c_99]) ).
tcf(c_226021,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_65]) ).
tcf(c_226022,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226021,c_92]) ).
tcf(c_226026,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226020,c_92]) ).
tcf(c_226031,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226013,c_92]) ).
tcf(c_226037,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(sz00,sdtpldt0(sz00,X0)),sz00) = sK0(sz00,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226017,c_92]) ).
tcf(c_226041,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz00,X0))) = sK0(sz00,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226014,c_92]) ).
tcf(c_226045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sz00,sdtpldt0(sz00,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sz00,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226016,c_92]) ).
tcf(c_226051,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sz00,sdtpldt0(sz00,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sz00,sdtpldt0(sz00,X0))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226015,c_92]) ).
tcf(c_226057,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,X0) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sz00),sK0(sdtpldt0(X1,sz00),sdtpldt0(X1,sdtpldt0(sz00,X0)))) = sdtpldt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226019,c_92]) ).
tcf(c_226063,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,X0) = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X1),sK0(sdtpldt0(sz00,X1),sdtpldt0(sdtpldt0(sz00,X0),X1))) = sdtpldt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226018,c_92]) ).
tcf(c_226131,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_220703,c_6155,c_223418]) ).
tcf(c_226144,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_98]) ).
tcf(c_226145,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(X0,sz00))) = sK0(sz00,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_220626]) ).
tcf(c_226146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sz00,sdtpldt0(X0,sz00)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sz00,sdtpldt0(X0,sz00))),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_220599]) ).
tcf(c_226147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sz00,sdtpldt0(X0,sz00)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sz00,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_220568]) ).
tcf(c_226148,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtpldt0(X0,sz00)),sz00) = sK0(sz00,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_220445]) ).
tcf(c_226149,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sz00) = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X1),sK0(sdtpldt0(sz00,X1),sdtpldt0(sdtpldt0(X0,sz00),X1))) = sdtpldt0(sdtpldt0(X0,sz00),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_222410]) ).
tcf(c_226150,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sz00) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sz00),sK0(sdtpldt0(X1,sz00),sdtpldt0(X1,sdtpldt0(X0,sz00)))) = sdtpldt0(X1,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_222310]) ).
tcf(c_226151,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00))
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),sz00) ),
inference(superposition,[status(thm)],[c_226131,c_99]) ).
tcf(c_226152,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(X0,sz00))) = sdtpldt0(X0,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_65]) ).
tcf(c_226153,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(X0,sz00))) = sdtpldt0(X0,sz00) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226152,c_92]) ).
tcf(c_226158,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00))
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226151,c_92]) ).
tcf(c_226164,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226144,c_92]) ).
tcf(c_226171,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtpldt0(X0,sz00)),sz00) = sK0(sz00,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226148,c_92]) ).
tcf(c_226176,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(X0,sz00))) = sK0(sz00,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226145,c_92]) ).
tcf(c_226181,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sz00,sdtpldt0(X0,sz00)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sz00,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226147,c_92]) ).
tcf(c_226188,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sz00,sdtpldt0(X0,sz00)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sz00,sdtpldt0(X0,sz00))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226146,c_92]) ).
tcf(c_226195,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sz00) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sz00),sK0(sdtpldt0(X1,sz00),sdtpldt0(X1,sdtpldt0(X0,sz00)))) = sdtpldt0(X1,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226150,c_92]) ).
tcf(c_226202,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sz00) = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X1),sK0(sdtpldt0(sz00,X1),sdtpldt0(sdtpldt0(X0,sz00),X1))) = sdtpldt0(sdtpldt0(X0,sz00),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226149,c_92]) ).
tcf(c_226285,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,X0),xl) = sdtpldt0(xl,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220716]) ).
tcf(c_226286,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,X0),xl) = sdtpldt0(xm,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220716]) ).
tcf(c_226287,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,X0),xl) = sdtpldt0(xn,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220716]) ).
tcf(c_226288,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),xl) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220716]) ).
tcf(c_226289,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sK0(X0,X1),X2),xl) = sdtpldt0(sK0(X0,X1),sdtpldt0(X2,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220716]) ).
tcf(c_226290,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),xl) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X2,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220716]) ).
tcf(c_226291,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sK1(X0,X1),X2),xl) = sdtpldt0(sK1(X0,X1),sdtpldt0(X2,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220716]) ).
tcf(c_226292,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),xl) = sdtpldt0(sz00,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220716]) ).
tcf(c_226293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(X1,X0),X2),xl) = sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(X2,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220716]) ).
tcf(c_226294,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,X0),xl) = sdtpldt0(xq,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220716]) ).
tcf(c_226295,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,X0),xl) = sdtpldt0(xp,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220716]) ).
tcf(c_226395,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_225870,c_86]) ).
tcf(c_226401,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_225870,c_89]) ).
tcf(c_226405,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_225870,c_86]) ).
tcf(c_226407,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226401,c_225856,c_92]) ).
tcf(c_226412,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226405,c_225856,c_92]) ).
tcf(c_226422,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_225871,c_84]) ).
tcf(c_226423,plain,
( doDivides0(xq,sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_225871,c_133]) ).
tcf(c_226428,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_225871,c_88]) ).
tcf(c_226430,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_225871,c_84]) ).
tcf(c_226431,plain,
doDivides0(xq,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_226423,c_225856,c_92]) ).
tcf(c_226432,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226428,c_225856,c_92]) ).
tcf(c_226437,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226430,c_225856,c_92]) ).
tcf(c_226450,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,X0),xm) = sdtpldt0(xl,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220717]) ).
tcf(c_226451,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,X0),xm) = sdtpldt0(xm,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220717]) ).
tcf(c_226452,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,X0),xm) = sdtpldt0(xn,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220717]) ).
tcf(c_226453,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),xm) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,xm)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220717]) ).
tcf(c_226454,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sK0(X0,X1),X2),xm) = sdtpldt0(sK0(X0,X1),sdtpldt0(X2,xm)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220717]) ).
tcf(c_226455,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),xm) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X2,xm)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220717]) ).
tcf(c_226456,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sK1(X0,X1),X2),xm) = sdtpldt0(sK1(X0,X1),sdtpldt0(X2,xm)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220717]) ).
tcf(c_226457,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),xm) = sdtpldt0(sz00,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220717]) ).
tcf(c_226458,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(X1,X0),X2),xm) = sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(X2,xm)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220717]) ).
tcf(c_226459,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,X0),xm) = sdtpldt0(xq,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220717]) ).
tcf(c_226460,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,X0),xm) = sdtpldt0(xp,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220717]) ).
tcf(c_226512,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,X0),xn) = sdtpldt0(xl,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220718]) ).
tcf(c_226513,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,X0),xn) = sdtpldt0(xm,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220718]) ).
tcf(c_226514,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,X0),xn) = sdtpldt0(xn,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220718]) ).
tcf(c_226515,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),xn) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,xn)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220718]) ).
tcf(c_226516,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sK0(X0,X1),X2),xn) = sdtpldt0(sK0(X0,X1),sdtpldt0(X2,xn)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220718]) ).
tcf(c_226517,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),xn) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X2,xn)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220718]) ).
tcf(c_226518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sK1(X0,X1),X2),xn) = sdtpldt0(sK1(X0,X1),sdtpldt0(X2,xn)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220718]) ).
tcf(c_226519,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),xn) = sdtpldt0(sz00,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220718]) ).
tcf(c_226520,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(X1,X0),X2),xn) = sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(X2,xn)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220718]) ).
tcf(c_226521,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,X0),xn) = sdtpldt0(xq,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220718]) ).
tcf(c_226522,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,X0),xn) = sdtpldt0(xp,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220718]) ).
tcf(c_226653,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xm,sdtpldt0(xm,xn))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_57,c_220719]) ).
tcf(c_226654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(sdtpldt0(X2,X3),sK0(X0,X1)) = sdtpldt0(X2,sdtpldt0(X3,sK0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_220719]) ).
tcf(c_226655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X3,X4),sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))) = sdtpldt0(X3,sdtpldt0(X4,sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_220719]) ).
tcf(c_226656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X3,X4),sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))) = sdtpldt0(X3,sdtpldt0(X4,sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_220719]) ).
tcf(c_226657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(X2,X3),sK0(X0,sdtpldt0(X0,X1))) = sdtpldt0(X2,sdtpldt0(X3,sK0(X0,sdtpldt0(X0,X1)))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_220719]) ).
tcf(c_226658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sdtpldt0(X2,X3),sK0(X0,sdtasdt0(X0,X1))) = sdtpldt0(X2,sdtpldt0(X3,sK0(X0,sdtasdt0(X0,X1)))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_220719]) ).
tcf(c_226659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X3,X4),sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtpldt0(X3,sdtpldt0(X4,sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_220719]) ).
tcf(c_226660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X3,X4),sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))) = sdtpldt0(X3,sdtpldt0(X4,sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_220719]) ).
tcf(c_226661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sK0(X0,X0)) = sdtpldt0(X1,sdtpldt0(X2,sK0(X0,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_220719]) ).
tcf(c_226662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(sdtpldt0(X2,X3),sK0(X1,X0)) = sdtpldt0(X2,sdtpldt0(X3,sK0(X1,X0))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_220719]) ).
tcf(c_226663,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(sz00,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK0(sz00,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221440,c_220719]) ).
tcf(c_226664,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xl,xl)) = sdtpldt0(X0,sdtpldt0(X1,sK0(xl,xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222115,c_220719]) ).
tcf(c_226665,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xm,xm)) = sdtpldt0(X0,sdtpldt0(X1,sK0(xm,xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222114,c_220719]) ).
tcf(c_226666,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xn,xn)) = sdtpldt0(X0,sdtpldt0(X1,sK0(xn,xn))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222113,c_220719]) ).
tcf(c_226667,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(sz00,xl)) = sdtpldt0(X0,sdtpldt0(X1,sK0(sz00,xl))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222112,c_220719]) ).
tcf(c_226668,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(sz00,xm)) = sdtpldt0(X0,sdtpldt0(X1,sK0(sz00,xm))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222111,c_220719]) ).
tcf(c_226669,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(sz00,xn)) = sdtpldt0(X0,sdtpldt0(X1,sK0(sz00,xn))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222110,c_220719]) ).
tcf(c_226670,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xq,xp)) = sdtpldt0(X0,sdtpldt0(X1,sK0(xq,xp))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225405,c_220719]) ).
tcf(c_226671,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(sz00,xp)) = sdtpldt0(X0,sdtpldt0(X1,sK0(sz00,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223873,c_220719]) ).
tcf(c_226672,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xp,xp)) = sdtpldt0(X0,sdtpldt0(X1,sK0(xp,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_224410,c_220719]) ).
tcf(c_226673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sK0(xl,sdtpldt0(xl,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xl,sdtpldt0(xl,X0)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_220719]) ).
tcf(c_226674,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sK0(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(sz00,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_220719]) ).
tcf(c_226675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xm,sdtpldt0(xm,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xm,sdtpldt0(xm,X0)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_220719]) ).
tcf(c_226676,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sK0(xn,sdtpldt0(xn,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xn,sdtpldt0(xn,X0)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_220719]) ).
tcf(c_226677,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sz00,sdtpldt0(X0,sz00))) = sdtpldt0(X1,sdtpldt0(X2,sK0(sz00,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_220719]) ).
tcf(c_226678,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xl,sdtpldt0(X0,sz00))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xl,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_220719]) ).
tcf(c_226679,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xm,sdtpldt0(X0,sz00))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xm,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_220719]) ).
tcf(c_226680,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xn,sdtpldt0(X0,sz00))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xn,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_220719]) ).
tcf(c_226681,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sdtpldt0(X0,sz00),xl)) = sdtpldt0(X1,sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_220719]) ).
tcf(c_226682,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sdtpldt0(X0,sz00),xm)) = sdtpldt0(X1,sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_220719]) ).
tcf(c_226683,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sdtpldt0(X0,sz00),xn)) = sdtpldt0(X1,sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xn))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_220719]) ).
tcf(c_226684,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xl,xm)) = sdtpldt0(X0,sdtpldt0(X1,sK0(xl,xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225018,c_220719]) ).
tcf(c_226685,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xp,xp)) = sdtpldt0(X0,sdtpldt0(X1,sK0(xp,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226672,c_221332]) ).
tcf(c_226689,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xn,xn)) = sdtpldt0(X0,sdtpldt0(X1,sK0(xn,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226666,c_51]) ).
tcf(c_226693,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xm,xm)) = sdtpldt0(X0,sdtpldt0(X1,sK0(xm,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226665,c_50]) ).
tcf(c_226697,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xl,xl)) = sdtpldt0(X0,sdtpldt0(X1,sK0(xl,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226664,c_49]) ).
tcf(c_226701,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_226663,c_225157]) ).
tcf(c_226707,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xl,xm)) = sdtpldt0(X0,sdtpldt0(X1,sK0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226684,c_50,c_49]) ).
tcf(c_226711,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(X0,sdtpldt0(X1,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_226671,c_225161]) ).
tcf(c_226713,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xq,xp)) = sdtpldt0(X0,sdtpldt0(X1,sK0(xq,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226670,c_225856,c_221332]) ).
tcf(c_226717,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(X0,sdtpldt0(X1,xn)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_226669,c_225163]) ).
tcf(c_226719,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(X0,sdtpldt0(X1,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_226668,c_225165]) ).
tcf(c_226721,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xl) = sdtpldt0(X0,sdtpldt0(X1,xl)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_226667,c_225167]) ).
tcf(c_226735,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xm,sdtpldt0(xm,xn))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226653,c_50]) ).
tcf(c_226740,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sK0(xn,sdtpldt0(xn,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xn,sdtpldt0(xn,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226676,c_51]) ).
tcf(c_226746,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sK0(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(sz00,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226674,c_92]) ).
tcf(c_226752,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sK0(xl,sdtpldt0(xl,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xl,sdtpldt0(xl,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226673,c_49]) ).
tcf(c_226764,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sz00,sdtpldt0(X0,sz00))) = sdtpldt0(X1,sdtpldt0(X2,sK0(sz00,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226677,c_92]) ).
tcf(c_226771,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xm,sdtpldt0(xm,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xm,sdtpldt0(xm,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226675,c_50]) ).
tcf(c_226785,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sdtpldt0(X0,sz00),xn)) = sdtpldt0(X1,sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xn))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226683,c_51]) ).
tcf(c_226793,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sdtpldt0(X0,sz00),xm)) = sdtpldt0(X1,sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xm))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226682,c_50]) ).
tcf(c_226801,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sdtpldt0(X0,sz00),xl)) = sdtpldt0(X1,sdtpldt0(X2,sK0(sdtpldt0(X0,sz00),xl))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226681,c_49]) ).
tcf(c_226809,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xn,sdtpldt0(X0,sz00))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xn,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226680,c_51]) ).
tcf(c_226817,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xm,sdtpldt0(X0,sz00))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xm,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226679,c_50]) ).
tcf(c_226825,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xl,sdtpldt0(X0,sz00))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xl,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226678,c_49]) ).
tcf(c_226951,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq) ),
inference(superposition,[status(thm)],[c_226431,c_78]) ).
tcf(c_226952,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sz00,xq)) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_226431,c_95]) ).
tcf(c_226953,plain,
( ( sdtasdt0(xq,sK1(xq,sz00)) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_226431,c_81]) ).
tcf(c_226954,plain,
sdtasdt0(xq,sK1(xq,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_226953,c_225856,c_92]) ).
tcf(c_226955,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226951,c_225856,c_92]) ).
tcf(c_226959,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sz00,xq)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226952,c_225856,c_92]) ).
tcf(c_226968,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(superposition,[status(thm)],[c_225874,c_68]) ).
tcf(c_226969,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_225874,c_62]) ).
tcf(c_226970,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_225874,c_60]) ).
tcf(c_226972,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != xq ) ),
inference(superposition,[status(thm)],[c_225874,c_69]) ).
tcf(c_226973,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_225874,c_60]) ).
tcf(c_226974,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_225874,c_62]) ).
tcf(c_226975,plain,
( sdtlseqdt0(sz00,xq)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_225874,c_226002]) ).
tcf(c_226977,plain,
sdtlseqdt0(sz00,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_226975,c_225856]) ).
tcf(c_226978,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226972,c_225856,c_92]) ).
tcf(c_226982,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226968,c_225856,c_92]) ).
tcf(c_226987,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226973,c_225856,c_92]) ).
tcf(c_226992,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226970,c_225856,c_92]) ).
tcf(c_226997,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_226969,c_225856,c_92]) ).
tcf(c_227013,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,X0),sz00) = sdtpldt0(xl,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220720]) ).
tcf(c_227014,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,X0),sz00) = sdtpldt0(xm,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220720]) ).
tcf(c_227015,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,X0),sz00) = sdtpldt0(xn,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220720]) ).
tcf(c_227016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),sz00) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,sz00)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220720]) ).
tcf(c_227017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sK0(X0,X1),X2),sz00) = sdtpldt0(sK0(X0,X1),sdtpldt0(X2,sz00)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220720]) ).
tcf(c_227018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),sz00) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X2,sz00)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220720]) ).
tcf(c_227019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sK1(X0,X1),X2),sz00) = sdtpldt0(sK1(X0,X1),sdtpldt0(X2,sz00)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220720]) ).
tcf(c_227020,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),sz00) = sdtpldt0(sz00,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220720]) ).
tcf(c_227021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(X1,X0),X2),sz00) = sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(X2,sz00)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220720]) ).
tcf(c_227022,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,X0),sz00) = sdtpldt0(xq,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220720]) ).
tcf(c_227023,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,X0),sz00) = sdtpldt0(xp,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220720]) ).
tcf(c_227110,plain,
sdtpldt0(xl,xm) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_50,c_220745]) ).
tcf(c_227111,plain,
sdtpldt0(xl,xn) = sdtpldt0(xn,xl),
inference(superposition,[status(thm)],[c_51,c_220745]) ).
tcf(c_227112,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xl) = sdtpldt0(xl,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220745]) ).
tcf(c_227113,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),xl) = sdtpldt0(xl,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220745]) ).
tcf(c_227114,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xl) = sdtpldt0(xl,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220745]) ).
tcf(c_227115,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),xl) = sdtpldt0(xl,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220745]) ).
tcf(c_227116,plain,
sdtpldt0(xl,sz00) = sdtpldt0(sz00,xl),
inference(superposition,[status(thm)],[c_92,c_220745]) ).
tcf(c_227117,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_94,c_220745]) ).
tcf(c_227118,plain,
sdtpldt0(xl,xq) = sdtpldt0(xq,xl),
inference(superposition,[status(thm)],[c_225856,c_220745]) ).
tcf(c_227119,plain,
sdtpldt0(xl,xp) = sdtpldt0(xp,xl),
inference(superposition,[status(thm)],[c_221332,c_220745]) ).
tcf(c_227225,plain,
sdtpldt0(xm,xn) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_51,c_220746]) ).
tcf(c_227226,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220746]) ).
tcf(c_227227,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),xm) = sdtpldt0(xm,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220746]) ).
tcf(c_227228,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220746]) ).
tcf(c_227229,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),xm) = sdtpldt0(xm,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220746]) ).
tcf(c_227230,plain,
sdtpldt0(xm,sz00) = sdtpldt0(sz00,xm),
inference(superposition,[status(thm)],[c_92,c_220746]) ).
tcf(c_227231,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_94,c_220746]) ).
tcf(c_227232,plain,
sdtpldt0(xm,xq) = sdtpldt0(xq,xm),
inference(superposition,[status(thm)],[c_225856,c_220746]) ).
tcf(c_227233,plain,
sdtpldt0(xm,xp) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_221332,c_220746]) ).
tcf(c_227287,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_226977,c_98]) ).
tcf(c_227288,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(sz00,xq)) = sdtpldt0(X0,sdtpldt0(X1,sK0(sz00,xq))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226977,c_220719]) ).
tcf(c_227289,plain,
( ( sdtpldt0(sz00,sK0(sz00,xq)) = sK0(sz00,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_226977,c_220626]) ).
tcf(c_227290,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(sz00,xq),X0)) = sdtasdt0(sdtpldt0(X1,sK0(sz00,xq)),X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226977,c_220599]) ).
tcf(c_227291,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(sz00,xq))) = sdtasdt0(X0,sdtpldt0(X1,sK0(sz00,xq))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226977,c_220568]) ).
tcf(c_227292,plain,
( ( sdtpldt0(sK0(sz00,xq),sz00) = sK0(sz00,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_226977,c_220445]) ).
tcf(c_227293,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK0(sdtpldt0(sz00,X0),sdtpldt0(xq,X0))) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226977,c_222410]) ).
tcf(c_227294,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sdtpldt0(sdtpldt0(X0,sz00),sK0(sdtpldt0(X0,sz00),sdtpldt0(X0,xq))) = sdtpldt0(X0,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226977,c_222310]) ).
tcf(c_227295,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00) ),
inference(superposition,[status(thm)],[c_226977,c_99]) ).
tcf(c_227296,plain,
( ( sdtpldt0(sz00,sK0(sz00,xq)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_226977,c_65]) ).
tcf(c_227297,plain,
sdtpldt0(sz00,sK0(sz00,xq)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_227296,c_225856,c_92]) ).
tcf(c_227298,plain,
( ( sz00 = xq )
| ~ sdtlseqdt0(xq,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227295,c_225856,c_92]) ).
tcf(c_227301,plain,
sdtpldt0(sK0(sz00,xq),sz00) = sK0(sz00,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_227292,c_225856,c_92]) ).
tcf(c_227302,plain,
sdtpldt0(sz00,sK0(sz00,xq)) = sK0(sz00,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_227289,c_225856,c_92]) ).
tcf(c_227303,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227287,c_225856,c_92]) ).
tcf(c_227307,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(sz00,xq)) = sdtpldt0(X0,sdtpldt0(X1,sK0(sz00,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227288,c_225856,c_92]) ).
tcf(c_227311,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sdtpldt0(sdtpldt0(X0,sz00),sK0(sdtpldt0(X0,sz00),sdtpldt0(X0,xq))) = sdtpldt0(X0,xq) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227294,c_225856,c_92]) ).
tcf(c_227315,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK0(sdtpldt0(sz00,X0),sdtpldt0(xq,X0))) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227293,c_225856,c_92]) ).
tcf(c_227319,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(sz00,xq))) = sdtasdt0(X0,sdtpldt0(X1,sK0(sz00,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227291,c_225856,c_92]) ).
tcf(c_227323,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(sz00,xq),X0)) = sdtasdt0(sdtpldt0(X1,sK0(sz00,xq)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227290,c_225856,c_92]) ).
tcf(c_227392,plain,
( sdtlseqdt0(xq,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_225877,c_136]) ).
tcf(c_227398,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != xq ) ),
inference(superposition,[status(thm)],[c_225877,c_68]) ).
tcf(c_227399,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sz00))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_225877,c_62]) ).
tcf(c_227400,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_225877,c_60]) ).
tcf(c_227402,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xq ) ),
inference(superposition,[status(thm)],[c_225877,c_69]) ).
tcf(c_227403,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_225877,c_60]) ).
tcf(c_227404,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_225877,c_62]) ).
tcf(c_227416,plain,
sdtlseqdt0(xq,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_227392,c_225856,c_92]) ).
tcf(c_227417,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227402,c_225856,c_92]) ).
tcf(c_227421,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227398,c_225856,c_92]) ).
tcf(c_227425,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227404,c_225856,c_92]) ).
tcf(c_227431,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227400,c_225856,c_92]) ).
tcf(c_227436,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sz00))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227399,c_225856,c_92]) ).
tcf(c_227498,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220747]) ).
tcf(c_227499,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),xn) = sdtpldt0(xn,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220747]) ).
tcf(c_227500,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xn) = sdtpldt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220747]) ).
tcf(c_227501,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),xn) = sdtpldt0(xn,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220747]) ).
tcf(c_227502,plain,
sdtpldt0(xn,sz00) = sdtpldt0(sz00,xn),
inference(superposition,[status(thm)],[c_92,c_220747]) ).
tcf(c_227503,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_94,c_220747]) ).
tcf(c_227504,plain,
sdtpldt0(xn,xq) = sdtpldt0(xq,xn),
inference(superposition,[status(thm)],[c_225856,c_220747]) ).
tcf(c_227505,plain,
sdtpldt0(xn,xp) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_221332,c_220747]) ).
tcf(c_227561,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xm,sdtpldt0(xm,xn)),X0) = sdtpldt0(X0,sK0(xm,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_57,c_220748]) ).
tcf(c_227562,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(sK0(X0,X1),X2) = sdtpldt0(X2,sK0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_220748]) ).
tcf(c_227563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)),X3) = sdtpldt0(X3,sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_220748]) ).
tcf(c_227564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1)),X3) = sdtpldt0(X3,sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_220748]) ).
tcf(c_227565,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK0(X0,sdtpldt0(X0,X1)),X2) = sdtpldt0(X2,sK0(X0,sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_220748]) ).
tcf(c_227566,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sK0(X0,sdtasdt0(X0,X1)),X2) = sdtpldt0(X2,sK0(X0,sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_220748]) ).
tcf(c_227567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)),X3) = sdtpldt0(X3,sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_220748]) ).
tcf(c_227568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1)),X3) = sdtpldt0(X3,sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_220748]) ).
tcf(c_227569,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X0),X1) = sdtpldt0(X1,sK0(X0,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_220748]) ).
tcf(c_227570,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(sK0(X1,X0),X2) = sdtpldt0(X2,sK0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_220748]) ).
tcf(c_227571,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(sz00,sz00),X0) = sdtpldt0(X0,sK0(sz00,sz00)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221440,c_220748]) ).
tcf(c_227572,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xl,xl),X0) = sdtpldt0(X0,sK0(xl,xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222115,c_220748]) ).
tcf(c_227573,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xm,xm),X0) = sdtpldt0(X0,sK0(xm,xm)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222114,c_220748]) ).
tcf(c_227574,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xn,xn),X0) = sdtpldt0(X0,sK0(xn,xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222113,c_220748]) ).
tcf(c_227575,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(sz00,xl),X0) = sdtpldt0(X0,sK0(sz00,xl)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222112,c_220748]) ).
tcf(c_227576,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(sz00,xm),X0) = sdtpldt0(X0,sK0(sz00,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222111,c_220748]) ).
tcf(c_227577,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(sz00,xn),X0) = sdtpldt0(X0,sK0(sz00,xn)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222110,c_220748]) ).
tcf(c_227578,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xq,xp),X0) = sdtpldt0(X0,sK0(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225405,c_220748]) ).
tcf(c_227579,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(sz00,xq),X0) = sdtpldt0(X0,sK0(sz00,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226977,c_220748]) ).
tcf(c_227580,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(sz00,xp),X0) = sdtpldt0(X0,sK0(sz00,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223873,c_220748]) ).
tcf(c_227581,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xp,xp),X0) = sdtpldt0(X0,sK0(xp,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_224410,c_220748]) ).
tcf(c_227582,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(xl,sdtpldt0(xl,X0)),X1) = sdtpldt0(X1,sK0(xl,sdtpldt0(xl,X0))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_220748]) ).
tcf(c_227583,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(sz00,sdtpldt0(sz00,X0)),X1) = sdtpldt0(X1,sK0(sz00,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_220748]) ).
tcf(c_227584,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(xm,sdtpldt0(xm,X0)),X1) = sdtpldt0(X1,sK0(xm,sdtpldt0(xm,X0))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_220748]) ).
tcf(c_227585,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(xn,sdtpldt0(xn,X0)),X1) = sdtpldt0(X1,sK0(xn,sdtpldt0(xn,X0))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_220748]) ).
tcf(c_227586,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtpldt0(X0,sz00)),X1) = sdtpldt0(X1,sK0(sz00,sdtpldt0(X0,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_220748]) ).
tcf(c_227587,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(sK0(xl,sdtpldt0(X0,sz00)),X1) = sdtpldt0(X1,sK0(xl,sdtpldt0(X0,sz00))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_220748]) ).
tcf(c_227588,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(sK0(xm,sdtpldt0(X0,sz00)),X1) = sdtpldt0(X1,sK0(xm,sdtpldt0(X0,sz00))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_220748]) ).
tcf(c_227589,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(sK0(xn,sdtpldt0(X0,sz00)),X1) = sdtpldt0(X1,sK0(xn,sdtpldt0(X0,sz00))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_220748]) ).
tcf(c_227590,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(sK0(sdtpldt0(X0,sz00),xl),X1) = sdtpldt0(X1,sK0(sdtpldt0(X0,sz00),xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_220748]) ).
tcf(c_227591,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(sK0(sdtpldt0(X0,sz00),xm),X1) = sdtpldt0(X1,sK0(sdtpldt0(X0,sz00),xm)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_220748]) ).
tcf(c_227592,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(sK0(sdtpldt0(X0,sz00),xn),X1) = sdtpldt0(X1,sK0(sdtpldt0(X0,sz00),xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_220748]) ).
tcf(c_227593,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xl,xm),X0) = sdtpldt0(X0,sK0(xl,xm)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225018,c_220748]) ).
tcf(c_227594,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xp,xp),X0) = sdtpldt0(X0,sK0(xp,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227581,c_221332]) ).
tcf(c_227597,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xn,xn),X0) = sdtpldt0(X0,sK0(xn,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227574,c_51]) ).
tcf(c_227600,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xm,xm),X0) = sdtpldt0(X0,sK0(xm,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227573,c_50]) ).
tcf(c_227603,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xl,xl),X0) = sdtpldt0(X0,sK0(xl,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227572,c_49]) ).
tcf(c_227606,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_227571,c_225157]) ).
tcf(c_227611,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xl,xm),X0) = sdtpldt0(X0,sK0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227593,c_50,c_49]) ).
tcf(c_227614,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_227580,c_225161]) ).
tcf(c_227616,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(sz00,xq),X0) = sdtpldt0(X0,sK0(sz00,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227579,c_225856,c_92]) ).
tcf(c_227619,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xq,xp),X0) = sdtpldt0(X0,sK0(xq,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227578,c_225856,c_221332]) ).
tcf(c_227622,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_227577,c_225163]) ).
tcf(c_227624,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_227576,c_225165]) ).
tcf(c_227626,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xl) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_227575,c_225167]) ).
tcf(c_227638,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xm,sdtpldt0(xm,xn)),X0) = sdtpldt0(X0,sK0(xm,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227561,c_50]) ).
tcf(c_227642,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(xn,sdtpldt0(xn,X0)),X1) = sdtpldt0(X1,sK0(xn,sdtpldt0(xn,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227585,c_51]) ).
tcf(c_227647,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(sz00,sdtpldt0(sz00,X0)),X1) = sdtpldt0(X1,sK0(sz00,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227583,c_92]) ).
tcf(c_227652,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(xl,sdtpldt0(xl,X0)),X1) = sdtpldt0(X1,sK0(xl,sdtpldt0(xl,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227582,c_49]) ).
tcf(c_227662,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtpldt0(X0,sz00)),X1) = sdtpldt0(X1,sK0(sz00,sdtpldt0(X0,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227586,c_92]) ).
tcf(c_227668,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(xm,sdtpldt0(xm,X0)),X1) = sdtpldt0(X1,sK0(xm,sdtpldt0(xm,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227584,c_50]) ).
tcf(c_227680,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(sK0(sdtpldt0(X0,sz00),xn),X1) = sdtpldt0(X1,sK0(sdtpldt0(X0,sz00),xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227592,c_51]) ).
tcf(c_227687,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(sK0(sdtpldt0(X0,sz00),xm),X1) = sdtpldt0(X1,sK0(sdtpldt0(X0,sz00),xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227591,c_50]) ).
tcf(c_227694,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(sK0(sdtpldt0(X0,sz00),xl),X1) = sdtpldt0(X1,sK0(sdtpldt0(X0,sz00),xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227590,c_49]) ).
tcf(c_227701,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(sK0(xn,sdtpldt0(X0,sz00)),X1) = sdtpldt0(X1,sK0(xn,sdtpldt0(X0,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227589,c_51]) ).
tcf(c_227708,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(sK0(xm,sdtpldt0(X0,sz00)),X1) = sdtpldt0(X1,sK0(xm,sdtpldt0(X0,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227588,c_50]) ).
tcf(c_227715,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(sK0(xl,sdtpldt0(X0,sz00)),X1) = sdtpldt0(X1,sK0(xl,sdtpldt0(X0,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227587,c_49]) ).
tcf(c_227883,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220749]) ).
tcf(c_227884,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),sz00) = sdtpldt0(sz00,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220749]) ).
tcf(c_227885,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtpldt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220749]) ).
tcf(c_227886,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),sz00) = sdtpldt0(sz00,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220749]) ).
tcf(c_227888,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_94,c_220749]) ).
tcf(c_227889,plain,
sdtpldt0(sz00,xq) = sdtpldt0(xq,sz00),
inference(superposition,[status(thm)],[c_225856,c_220749]) ).
tcf(c_227890,plain,
sdtpldt0(sz00,xp) = sdtpldt0(xp,sz00),
inference(superposition,[status(thm)],[c_221332,c_220749]) ).
tcf(c_227943,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xq,xq),X0) = sdtpldt0(X0,sK0(xq,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_227416,c_220748]) ).
tcf(c_227944,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xq,xq)) = sdtpldt0(X0,sdtpldt0(X1,sK0(xq,xq))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_227416,c_220719]) ).
tcf(c_227945,plain,
( ( sdtpldt0(sz00,sK0(xq,xq)) = sK0(xq,xq) )
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_227416,c_220626]) ).
tcf(c_227946,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xq,xq),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xq,xq)),X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_227416,c_220599]) ).
tcf(c_227947,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xq,xq))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xq,xq))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_227416,c_220568]) ).
tcf(c_227948,plain,
( ( sdtpldt0(sK0(xq,xq),sz00) = sK0(xq,xq) )
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_227416,c_220445]) ).
tcf(c_227953,plain,
sdtpldt0(sK0(xq,xq),sz00) = sK0(xq,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_227948,c_225856]) ).
tcf(c_227954,plain,
sdtpldt0(sz00,sK0(xq,xq)) = sK0(xq,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_227945,c_225856]) ).
tcf(c_227955,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xq,xq),X0) = sdtpldt0(X0,sK0(xq,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227943,c_225856]) ).
tcf(c_227958,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xq,xq)) = sdtpldt0(X0,sdtpldt0(X1,sK0(xq,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227944,c_225856]) ).
tcf(c_227962,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xq,xq))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xq,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227947,c_225856]) ).
tcf(c_227966,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xq,xq),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xq,xq)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227946,c_225856]) ).
tcf(c_227973,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xl,xm)),xm)
| ( X0 = xl )
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK1(xl,xm)) ),
inference(superposition,[status(thm)],[c_221078,c_86]) ).
tcf(c_227976,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ( xl = sz00 )
| ( sK1(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,xm))
| ~ sdtlseqdt0(X0,sK1(xl,xm)) ),
inference(superposition,[status(thm)],[c_221078,c_84]) ).
tcf(c_227979,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,xm))
| ( sdtasdt0(X0,sK1(xl,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_221078,c_89]) ).
tcf(c_227982,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sK1(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,xm))
| ( sdtasdt0(xl,X0) != xm ) ),
inference(superposition,[status(thm)],[c_221078,c_88]) ).
tcf(c_227983,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK1(xl,xm)))
| ( X0 = xl )
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK1(xl,xm)) ),
inference(superposition,[status(thm)],[c_221078,c_86]) ).
tcf(c_227984,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( sK1(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,xm))
| ~ sdtlseqdt0(sK1(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_221078,c_84]) ).
tcf(c_227985,plain,
! [X0: $i] :
( ( sK1(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,xm))
| ( sdtasdt0(xl,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227982,c_54,c_49]) ).
tcf(c_227990,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,xm))
| ( sdtasdt0(X0,sK1(xl,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227979,c_49]) ).
tcf(c_227996,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ( sK1(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,xm))
| ~ sdtlseqdt0(sK1(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227984,c_54,c_49]) ).
tcf(c_228002,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK1(xl,xm)))
| ( X0 = xl )
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK1(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227983,c_49]) ).
tcf(c_228009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ( sK1(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,xm))
| ~ sdtlseqdt0(X0,sK1(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227976,c_54,c_49]) ).
tcf(c_228015,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xl,xm)),xm)
| ( X0 = xl )
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK1(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_227973,c_49]) ).
tcf(c_228033,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xl,X0),X1) = sdtpldt0(X1,sdtpldt0(xl,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220773]) ).
tcf(c_228034,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xm,X0),X1) = sdtpldt0(X1,sdtpldt0(xm,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220773]) ).
tcf(c_228035,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xn,X0),X1) = sdtpldt0(X1,sdtpldt0(xn,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220773]) ).
tcf(c_228036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) = sdtpldt0(X3,sdtpldt0(sdtpldt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220773]) ).
tcf(c_228037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK0(X0,X1),X2),X3) = sdtpldt0(X3,sdtpldt0(sK0(X0,X1),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220773]) ).
tcf(c_228038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3) = sdtpldt0(X3,sdtpldt0(sdtasdt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220773]) ).
tcf(c_228039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK1(X0,X1),X2),X3) = sdtpldt0(X3,sdtpldt0(sK1(X0,X1),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220773]) ).
tcf(c_228040,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220773]) ).
tcf(c_228041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(X1,X0),X2),X3) = sdtpldt0(X3,sdtpldt0(sdtsldt0(X1,X0),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220773]) ).
tcf(c_228042,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xq,X0),X1) = sdtpldt0(X1,sdtpldt0(xq,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220773]) ).
tcf(c_228043,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xp,X0),X1) = sdtpldt0(X1,sdtpldt0(xp,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220773]) ).
tcf(c_228207,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(xl,X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtpldt0(xl,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220774]) ).
tcf(c_228208,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(xm,X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtpldt0(xm,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220774]) ).
tcf(c_228209,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(xn,X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtpldt0(xn,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220774]) ).
tcf(c_228210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtpldt0(X3,X4),sdtpldt0(sdtpldt0(X0,X1),X2)) = sdtpldt0(X3,sdtpldt0(X4,sdtpldt0(sdtpldt0(X0,X1),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220774]) ).
tcf(c_228211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtpldt0(X3,X4),sdtpldt0(sK0(X0,X1),X2)) = sdtpldt0(X3,sdtpldt0(X4,sdtpldt0(sK0(X0,X1),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220774]) ).
tcf(c_228212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtpldt0(X3,X4),sdtpldt0(sdtasdt0(X0,X1),X2)) = sdtpldt0(X3,sdtpldt0(X4,sdtpldt0(sdtasdt0(X0,X1),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220774]) ).
tcf(c_228213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtpldt0(X3,X4),sdtpldt0(sK1(X0,X1),X2)) = sdtpldt0(X3,sdtpldt0(X4,sdtpldt0(sK1(X0,X1),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220774]) ).
tcf(c_228214,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(sz00,X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220774]) ).
tcf(c_228215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X3,X4),sdtpldt0(sdtsldt0(X1,X0),X2)) = sdtpldt0(X3,sdtpldt0(X4,sdtpldt0(sdtsldt0(X1,X0),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220774]) ).
tcf(c_228216,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(xq,X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtpldt0(xq,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220774]) ).
tcf(c_228217,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(xp,X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtpldt0(xp,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220774]) ).
tcf(c_228321,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xl,X0)) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220775]) ).
tcf(c_228322,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xm,X0)) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220775]) ).
tcf(c_228323,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xn,X0)) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220775]) ).
tcf(c_228324,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(X0,X1),X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220775]) ).
tcf(c_228325,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sK0(X0,X1),X2)) = sdtpldt0(sK0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220775]) ).
tcf(c_228326,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(X0,X1),X2)) = sdtpldt0(sdtasdt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220775]) ).
tcf(c_228327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sK1(X0,X1),X2)) = sdtpldt0(sK1(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220775]) ).
tcf(c_228328,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sz00,X0)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220775]) ).
tcf(c_228329,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(X1,X0),X2)) = sdtpldt0(sdtsldt0(X1,X0),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220775]) ).
tcf(c_228330,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xq,X0)) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220775]) ).
tcf(c_228331,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xp,X0)) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220775]) ).
tcf(c_228378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_222168,c_86]) ).
tcf(c_228384,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz00,sz00))
| ( sdtasdt0(X0,sK1(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_222168,c_89]) ).
tcf(c_228388,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sz00,sz00)))
| ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK1(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_222168,c_86]) ).
tcf(c_228390,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz00,sz00))
| ( sdtasdt0(X0,sK1(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228384,c_92]) ).
tcf(c_228396,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sz00,sz00)))
| ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK1(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228388,c_92]) ).
tcf(c_228403,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228378,c_92]) ).
tcf(c_228428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sdtpldt0(xl,X0),X1)) = sdtasdt0(sdtpldt0(X2,sdtpldt0(xl,X0)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220776]) ).
tcf(c_228429,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sdtpldt0(xm,X0),X1)) = sdtasdt0(sdtpldt0(X2,sdtpldt0(xm,X0)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220776]) ).
tcf(c_228430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sdtpldt0(xn,X0),X1)) = sdtasdt0(sdtpldt0(X2,sdtpldt0(xn,X0)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220776]) ).
tcf(c_228431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtasdt0(X4,X3),sdtasdt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3)) = sdtasdt0(sdtpldt0(X4,sdtpldt0(sdtpldt0(X0,X1),X2)),X3) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220776]) ).
tcf(c_228432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtasdt0(X4,X3),sdtasdt0(sdtpldt0(sK0(X0,X1),X2),X3)) = sdtasdt0(sdtpldt0(X4,sdtpldt0(sK0(X0,X1),X2)),X3) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220776]) ).
tcf(c_228433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtasdt0(X4,X3),sdtasdt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3)) = sdtasdt0(sdtpldt0(X4,sdtpldt0(sdtasdt0(X0,X1),X2)),X3) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220776]) ).
tcf(c_228434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtasdt0(X4,X3),sdtasdt0(sdtpldt0(sK1(X0,X1),X2),X3)) = sdtasdt0(sdtpldt0(X4,sdtpldt0(sK1(X0,X1),X2)),X3) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220776]) ).
tcf(c_228435,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sdtpldt0(sz00,X0),X1)) = sdtasdt0(sdtpldt0(X2,sdtpldt0(sz00,X0)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220776]) ).
tcf(c_228436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X4,X3),sdtasdt0(sdtpldt0(sdtsldt0(X1,X0),X2),X3)) = sdtasdt0(sdtpldt0(X4,sdtpldt0(sdtsldt0(X1,X0),X2)),X3) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220776]) ).
tcf(c_228437,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sdtpldt0(xq,X0),X1)) = sdtasdt0(sdtpldt0(X2,sdtpldt0(xq,X0)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220776]) ).
tcf(c_228438,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sdtpldt0(xp,X0),X1)) = sdtasdt0(sdtpldt0(X2,sdtpldt0(xp,X0)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220776]) ).
tcf(c_228572,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(xl,X0))) = sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(xl,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220777]) ).
tcf(c_228573,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(xm,X0))) = sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(xm,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220777]) ).
tcf(c_228574,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(xn,X0))) = sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(xn,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220777]) ).
tcf(c_228575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtasdt0(X3,X4),sdtasdt0(X3,sdtpldt0(sdtpldt0(X0,X1),X2))) = sdtasdt0(X3,sdtpldt0(X4,sdtpldt0(sdtpldt0(X0,X1),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220777]) ).
tcf(c_228576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtasdt0(X3,X4),sdtasdt0(X3,sdtpldt0(sK0(X0,X1),X2))) = sdtasdt0(X3,sdtpldt0(X4,sdtpldt0(sK0(X0,X1),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220777]) ).
tcf(c_228577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtasdt0(X3,X4),sdtasdt0(X3,sdtpldt0(sdtasdt0(X0,X1),X2))) = sdtasdt0(X3,sdtpldt0(X4,sdtpldt0(sdtasdt0(X0,X1),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220777]) ).
tcf(c_228578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtasdt0(X3,X4),sdtasdt0(X3,sdtpldt0(sK1(X0,X1),X2))) = sdtasdt0(X3,sdtpldt0(X4,sdtpldt0(sK1(X0,X1),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220777]) ).
tcf(c_228579,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(sz00,X0))) = sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220777]) ).
tcf(c_228580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X3,X4),sdtasdt0(X3,sdtpldt0(sdtsldt0(X1,X0),X2))) = sdtasdt0(X3,sdtpldt0(X4,sdtpldt0(sdtsldt0(X1,X0),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220777]) ).
tcf(c_228581,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(xq,X0))) = sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(xq,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220777]) ).
tcf(c_228582,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(xp,X0))) = sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(xp,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220777]) ).
tcf(c_228687,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,X0),sz00) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_220778]) ).
tcf(c_228688,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,X0),sz00) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_220778]) ).
tcf(c_228689,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,X0),sz00) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_220778]) ).
tcf(c_228690,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),sz00) = sdtpldt0(sdtpldt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_220778]) ).
tcf(c_228691,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sK0(X0,X1),X2),sz00) = sdtpldt0(sK0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_220778]) ).
tcf(c_228692,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),sz00) = sdtpldt0(sdtasdt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_220778]) ).
tcf(c_228693,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sK1(X0,X1),X2),sz00) = sdtpldt0(sK1(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_220778]) ).
tcf(c_228694,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),sz00) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_220778]) ).
tcf(c_228695,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(X1,X0),X2),sz00) = sdtpldt0(sdtsldt0(X1,X0),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_220778]) ).
tcf(c_228696,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,X0),sz00) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_220778]) ).
tcf(c_228697,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,X0),sz00) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_220778]) ).
tcf(c_228794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xn,sz00)),sz00)
| ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_222172,c_86]) ).
tcf(c_228795,plain,
( sdtlseqdt0(xn,sz00)
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_222172,c_82]) ).
tcf(c_228797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(X0,sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_222172,c_84]) ).
tcf(c_228800,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ( sdtasdt0(X0,sK1(xn,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_222172,c_89]) ).
tcf(c_228802,plain,
( ( xn = sz00 )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_222172,c_87]) ).
tcf(c_228803,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_222172,c_88]) ).
tcf(c_228804,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xn,sz00)))
| ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_222172,c_86]) ).
tcf(c_228805,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(sK1(xn,sz00),X0) ),
inference(superposition,[status(thm)],[c_222172,c_84]) ).
tcf(c_228806,plain,
( sdtlseqdt0(xn,sz00)
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228795,c_51]) ).
tcf(c_228810,plain,
( ( xn = sz00 )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228802,c_51]) ).
tcf(c_228814,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228803,c_51]) ).
tcf(c_228820,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ( sdtasdt0(X0,sK1(xn,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228800,c_51]) ).
tcf(c_228826,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(sK1(xn,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228805,c_51]) ).
tcf(c_228833,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xn,sz00)))
| ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228804,c_51]) ).
tcf(c_228840,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(X0,sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228797,c_51]) ).
tcf(c_228847,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xn,sz00)),sz00)
| ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228794,c_51]) ).
tcf(c_228871,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xm,sz00)),sz00)
| ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_222542,c_86]) ).
tcf(c_228872,plain,
( sdtlseqdt0(xm,sz00)
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_222542,c_82]) ).
tcf(c_228874,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(X0,sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_222542,c_84]) ).
tcf(c_228877,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ( sdtasdt0(X0,sK1(xm,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_222542,c_89]) ).
tcf(c_228879,plain,
( ( xm = sz00 )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_222542,c_87]) ).
tcf(c_228880,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_222542,c_88]) ).
tcf(c_228881,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xm,sz00)))
| ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_222542,c_86]) ).
tcf(c_228882,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sK1(xm,sz00),X0) ),
inference(superposition,[status(thm)],[c_222542,c_84]) ).
tcf(c_228883,plain,
( ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228872,c_222888,c_50]) ).
tcf(c_228887,plain,
! [X0: $i] :
( ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228880,c_104694,c_50]) ).
tcf(c_228892,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ( sdtasdt0(X0,sK1(xm,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228877,c_50]) ).
tcf(c_228898,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sK1(xm,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228882,c_104694,c_50]) ).
tcf(c_228904,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xm,sz00)))
| ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228881,c_50]) ).
tcf(c_228911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(X0,sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228874,c_104694,c_50]) ).
tcf(c_228917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xm,sz00)),sz00)
| ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228871,c_50]) ).
tcf(c_228965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xm)),sz00)
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_222547,c_86]) ).
tcf(c_228966,plain,
( sdtlseqdt0(xm,sz00)
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_222547,c_82]) ).
tcf(c_228968,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_222547,c_84]) ).
tcf(c_228971,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ( sdtasdt0(X0,sdtsldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_222547,c_89]) ).
tcf(c_228973,plain,
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_222547,c_87]) ).
tcf(c_228974,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_222547,c_88]) ).
tcf(c_228975,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xm)))
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_222547,c_86]) ).
tcf(c_228976,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sdtsldt0(sz00,xm),X0) ),
inference(superposition,[status(thm)],[c_222547,c_84]) ).
tcf(c_228977,plain,
( ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228966,c_222888,c_50]) ).
tcf(c_228981,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228974,c_104694,c_50]) ).
tcf(c_228986,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ( sdtasdt0(X0,sdtsldt0(sz00,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228971,c_50]) ).
tcf(c_228992,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sdtsldt0(sz00,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228976,c_104694,c_50]) ).
tcf(c_228998,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xm)))
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228975,c_50]) ).
tcf(c_229005,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228968,c_104694,c_50]) ).
tcf(c_229011,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xm)),sz00)
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228965,c_50]) ).
tcf(c_229038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xl,sz00)),sz00)
| ( X0 = xl )
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK1(xl,sz00)) ),
inference(superposition,[status(thm)],[c_222589,c_86]) ).
tcf(c_229039,plain,
( sdtlseqdt0(xl,sz00)
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK1(xl,sz00)) ),
inference(superposition,[status(thm)],[c_222589,c_82]) ).
tcf(c_229041,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sz00)
| ( xl = sz00 )
| ( sK1(xl,sz00) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ~ sdtlseqdt0(X0,sK1(xl,sz00)) ),
inference(superposition,[status(thm)],[c_222589,c_84]) ).
tcf(c_229044,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ( sdtasdt0(X0,sK1(xl,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_222589,c_89]) ).
tcf(c_229046,plain,
( ( xl = sz00 )
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK1(xl,sz00)) ),
inference(superposition,[status(thm)],[c_222589,c_87]) ).
tcf(c_229047,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sK1(xl,sz00) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_222589,c_88]) ).
tcf(c_229048,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xl,sz00)))
| ( X0 = xl )
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK1(xl,sz00)) ),
inference(superposition,[status(thm)],[c_222589,c_86]) ).
tcf(c_229049,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( sK1(xl,sz00) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ~ sdtlseqdt0(sK1(xl,sz00),X0) ),
inference(superposition,[status(thm)],[c_222589,c_84]) ).
tcf(c_229050,plain,
( ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229039,c_223018,c_49]) ).
tcf(c_229054,plain,
! [X0: $i] :
( ( sK1(xl,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229047,c_54,c_49]) ).
tcf(c_229059,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ( sdtasdt0(X0,sK1(xl,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229044,c_49]) ).
tcf(c_229065,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( sK1(xl,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ~ sdtlseqdt0(sK1(xl,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229049,c_54,c_49]) ).
tcf(c_229071,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xl,sz00)))
| ( X0 = xl )
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK1(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229048,c_49]) ).
tcf(c_229078,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sz00)
| ( sK1(xl,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ~ sdtlseqdt0(X0,sK1(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229041,c_54,c_49]) ).
tcf(c_229084,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xl,sz00)),sz00)
| ( X0 = xl )
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK1(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229038,c_49]) ).
tcf(c_229147,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xl)
| ( X1 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1)) ),
inference(superposition,[status(thm)],[c_220830,c_98]) ).
tcf(c_229148,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(sK0(sdtpldt0(sz00,X0),xl),X1) = sdtpldt0(X1,sK0(sdtpldt0(sz00,X0),xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_220748]) ).
tcf(c_229149,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sdtpldt0(sz00,X0),xl)) = sdtpldt0(X1,sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_220719]) ).
tcf(c_229150,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,sK0(sdtpldt0(sz00,X0),xl)) = sK0(sdtpldt0(sz00,X0),xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_220626]) ).
tcf(c_229151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sdtpldt0(sz00,X0),xl),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xl)),X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_220599]) ).
tcf(c_229152,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sdtpldt0(sz00,X0),xl))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_220568]) ).
tcf(c_229153,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sK0(sdtpldt0(sz00,X0),xl),sz00) = sK0(sdtpldt0(sz00,X0),xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_220445]) ).
tcf(c_229154,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,X0),X1),sK0(sdtpldt0(sdtpldt0(sz00,X0),X1),sdtpldt0(xl,X1))) = sdtpldt0(xl,X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_222410]) ).
tcf(c_229155,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ( sdtpldt0(sdtpldt0(X1,sdtpldt0(sz00,X0)),sK0(sdtpldt0(X1,sdtpldt0(sz00,X0)),sdtpldt0(X1,xl))) = sdtpldt0(X1,xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_222310]) ).
tcf(c_229156,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xl,sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_99]) ).
tcf(c_229157,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK0(sdtpldt0(sz00,X0),xl)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_65]) ).
tcf(c_229158,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK0(sdtpldt0(sz00,X0),xl)) = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229157,c_49]) ).
tcf(c_229164,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xl,sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229156,c_49]) ).
tcf(c_229171,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xl)
| ( X1 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229147,c_49]) ).
tcf(c_229179,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sK0(sdtpldt0(sz00,X0),xl),sz00) = sK0(sdtpldt0(sz00,X0),xl) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229153,c_49]) ).
tcf(c_229185,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,sK0(sdtpldt0(sz00,X0),xl)) = sK0(sdtpldt0(sz00,X0),xl) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229150,c_49]) ).
tcf(c_229191,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(sK0(sdtpldt0(sz00,X0),xl),X1) = sdtpldt0(X1,sK0(sdtpldt0(sz00,X0),xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229148,c_49]) ).
tcf(c_229198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sdtpldt0(sz00,X0),xl)) = sdtpldt0(X1,sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xl))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229149,c_49]) ).
tcf(c_229206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sdtpldt0(sz00,X0),xl))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xl))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229152,c_49]) ).
tcf(c_229214,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sdtpldt0(sz00,X0),xl),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xl)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229151,c_49]) ).
tcf(c_229222,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ( sdtpldt0(sdtpldt0(X1,sdtpldt0(sz00,X0)),sK0(sdtpldt0(X1,sdtpldt0(sz00,X0)),sdtpldt0(X1,xl))) = sdtpldt0(X1,xl) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229155,c_49]) ).
tcf(c_229230,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,X0),X1),sK0(sdtpldt0(sdtpldt0(sz00,X0),X1),sdtpldt0(xl,X1))) = sdtpldt0(xl,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229154,c_49]) ).
tcf(c_229252,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(X1,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_98]) ).
tcf(c_229253,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(sK0(xl,sdtpldt0(sz00,X0)),X1) = sdtpldt0(X1,sK0(xl,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_220748]) ).
tcf(c_229254,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xl,sdtpldt0(sz00,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xl,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_220719]) ).
tcf(c_229255,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,sK0(xl,sdtpldt0(sz00,X0))) = sK0(xl,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_220626]) ).
tcf(c_229256,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xl,sdtpldt0(sz00,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xl,sdtpldt0(sz00,X0))),X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_220599]) ).
tcf(c_229257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xl,sdtpldt0(sz00,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xl,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_220568]) ).
tcf(c_229258,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sK0(xl,sdtpldt0(sz00,X0)),sz00) = sK0(xl,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_220445]) ).
tcf(c_229259,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ( sdtpldt0(sdtpldt0(xl,X1),sK0(sdtpldt0(xl,X1),sdtpldt0(sdtpldt0(sz00,X0),X1))) = sdtpldt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_222410]) ).
tcf(c_229260,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ( sdtpldt0(sdtpldt0(X1,xl),sK0(sdtpldt0(X1,xl),sdtpldt0(X1,sdtpldt0(sz00,X0)))) = sdtpldt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_222310]) ).
tcf(c_229261,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),xl) ),
inference(superposition,[status(thm)],[c_220835,c_99]) ).
tcf(c_229262,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xl,sK0(xl,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_65]) ).
tcf(c_229263,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xl,sK0(xl,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229262,c_49]) ).
tcf(c_229269,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229261,c_49]) ).
tcf(c_229276,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(X1,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229252,c_49]) ).
tcf(c_229284,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sK0(xl,sdtpldt0(sz00,X0)),sz00) = sK0(xl,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229258,c_49]) ).
tcf(c_229290,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,sK0(xl,sdtpldt0(sz00,X0))) = sK0(xl,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229255,c_49]) ).
tcf(c_229296,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(sK0(xl,sdtpldt0(sz00,X0)),X1) = sdtpldt0(X1,sK0(xl,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229253,c_49]) ).
tcf(c_229303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xl,sdtpldt0(sz00,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xl,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229254,c_49]) ).
tcf(c_229311,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xl,sdtpldt0(sz00,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xl,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229257,c_49]) ).
tcf(c_229319,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xl,sdtpldt0(sz00,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xl,sdtpldt0(sz00,X0))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229256,c_49]) ).
tcf(c_229327,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ( sdtpldt0(sdtpldt0(X1,xl),sK0(sdtpldt0(X1,xl),sdtpldt0(X1,sdtpldt0(sz00,X0)))) = sdtpldt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229260,c_49]) ).
tcf(c_229335,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ( sdtpldt0(sdtpldt0(xl,X1),sK0(sdtpldt0(xl,X1),sdtpldt0(sdtpldt0(sz00,X0),X1))) = sdtpldt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229259,c_49]) ).
tcf(c_229378,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_220840,c_6240,c_223418]) ).
tcf(c_229387,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_98]) ).
tcf(c_229388,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(xl,sdtpldt0(X0,xl)),X1) = sdtpldt0(X1,sK0(xl,sdtpldt0(X0,xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_220748]) ).
tcf(c_229389,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xl,sdtpldt0(X0,xl))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xl,sdtpldt0(X0,xl)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_220719]) ).
tcf(c_229390,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(xl,sdtpldt0(X0,xl))) = sK0(xl,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_220626]) ).
tcf(c_229391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xl,sdtpldt0(X0,xl)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xl,sdtpldt0(X0,xl))),X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_220599]) ).
tcf(c_229392,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xl,sdtpldt0(X0,xl)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xl,sdtpldt0(X0,xl)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_220568]) ).
tcf(c_229393,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(xl,sdtpldt0(X0,xl)),sz00) = sK0(xl,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_220445]) ).
tcf(c_229394,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xl) = xl )
| ( sdtpldt0(sdtpldt0(xl,X1),sK0(sdtpldt0(xl,X1),sdtpldt0(sdtpldt0(X0,xl),X1))) = sdtpldt0(sdtpldt0(X0,xl),X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_222410]) ).
tcf(c_229395,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xl) = xl )
| ( sdtpldt0(sdtpldt0(X1,xl),sK0(sdtpldt0(X1,xl),sdtpldt0(X1,sdtpldt0(X0,xl)))) = sdtpldt0(X1,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_222310]) ).
tcf(c_229396,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xl) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl))
| ~ sdtlseqdt0(sdtpldt0(X0,xl),xl) ),
inference(superposition,[status(thm)],[c_229378,c_99]) ).
tcf(c_229397,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sK0(xl,sdtpldt0(X0,xl))) = sdtpldt0(X0,xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_65]) ).
tcf(c_229398,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sK0(xl,sdtpldt0(X0,xl))) = sdtpldt0(X0,xl) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229397,c_49]) ).
tcf(c_229403,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xl) = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl))
| ~ sdtlseqdt0(sdtpldt0(X0,xl),xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229396,c_49]) ).
tcf(c_229409,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229387,c_49]) ).
tcf(c_229416,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(xl,sdtpldt0(X0,xl)),sz00) = sK0(xl,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229393,c_49]) ).
tcf(c_229421,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(xl,sdtpldt0(X0,xl))) = sK0(xl,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229390,c_49]) ).
tcf(c_229426,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(xl,sdtpldt0(X0,xl)),X1) = sdtpldt0(X1,sK0(xl,sdtpldt0(X0,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229388,c_49]) ).
tcf(c_229432,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xl,sdtpldt0(X0,xl))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xl,sdtpldt0(X0,xl)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229389,c_49]) ).
tcf(c_229439,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xl,sdtpldt0(X0,xl)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xl,sdtpldt0(X0,xl)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229392,c_49]) ).
tcf(c_229446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xl,sdtpldt0(X0,xl)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xl,sdtpldt0(X0,xl))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229391,c_49]) ).
tcf(c_229453,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xl) = xl )
| ( sdtpldt0(sdtpldt0(X1,xl),sK0(sdtpldt0(X1,xl),sdtpldt0(X1,sdtpldt0(X0,xl)))) = sdtpldt0(X1,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229395,c_49]) ).
tcf(c_229460,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xl) = xl )
| ( sdtpldt0(sdtpldt0(xl,X1),sK0(sdtpldt0(xl,X1),sdtpldt0(sdtpldt0(X0,xl),X1))) = sdtpldt0(sdtpldt0(X0,xl),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229394,c_49]) ).
tcf(c_229555,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_222594,c_86]) ).
tcf(c_229556,plain,
( sdtlseqdt0(xl,sz00)
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_222594,c_82]) ).
tcf(c_229558,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_222594,c_84]) ).
tcf(c_229561,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_222594,c_89]) ).
tcf(c_229563,plain,
( ( xl = sz00 )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_222594,c_87]) ).
tcf(c_229564,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_222594,c_88]) ).
tcf(c_229565,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_222594,c_86]) ).
tcf(c_229566,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_222594,c_84]) ).
tcf(c_229567,plain,
( ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229556,c_223018,c_49]) ).
tcf(c_229571,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229564,c_54,c_49]) ).
tcf(c_229576,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_229561,c_49]) ).
tcf(c_229582,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_229566,c_54,c_49]) ).
tcf(c_229588,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_229565,c_49]) ).
tcf(c_229595,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_229558,c_54,c_49]) ).
tcf(c_229601,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_229555,c_49]) ).
tcf(c_229628,plain,
! [X0: $i] :
( ( sK0(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ( sdtpldt0(xl,X0) != xl ) ),
inference(superposition,[status(thm)],[c_222697,c_68]) ).
tcf(c_229629,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sK0(xl,xl)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK0(xl,xl)) ),
inference(superposition,[status(thm)],[c_222697,c_62]) ).
tcf(c_229630,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( sK0(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ~ sdtlseqdt0(sK0(xl,xl),X0) ),
inference(superposition,[status(thm)],[c_222697,c_60]) ).
tcf(c_229632,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ( sdtpldt0(X0,sK0(xl,xl)) != xl ) ),
inference(superposition,[status(thm)],[c_222697,c_69]) ).
tcf(c_229633,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xl)
| ( sK0(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ~ sdtlseqdt0(X0,sK0(xl,xl)) ),
inference(superposition,[status(thm)],[c_222697,c_60]) ).
tcf(c_229634,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xl,xl)),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK0(xl,xl)) ),
inference(superposition,[status(thm)],[c_222697,c_62]) ).
tcf(c_229636,plain,
( ( sK0(xl,xl) = sz00 )
| ~ aNaturalNumber0(sK0(xl,xl)) ),
inference(superposition,[status(thm)],[c_222697,c_220495]) ).
tcf(c_229639,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ( sdtpldt0(X0,sK0(xl,xl)) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229632,c_49]) ).
tcf(c_229644,plain,
! [X0: $i] :
( ( sK0(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ( sdtpldt0(xl,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229628,c_49]) ).
tcf(c_229649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xl,xl)),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK0(xl,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229634,c_49]) ).
tcf(c_229655,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sK0(xl,xl)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK0(xl,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229629,c_49]) ).
tcf(c_229661,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xl)
| ( sK0(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ~ sdtlseqdt0(X0,sK0(xl,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229633,c_49]) ).
tcf(c_229667,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( sK0(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ~ sdtlseqdt0(sK0(xl,xl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229630,c_49]) ).
tcf(c_229737,plain,
! [X0: $i] :
( ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_222698,c_68]) ).
tcf(c_229738,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(superposition,[status(thm)],[c_222698,c_62]) ).
tcf(c_229739,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(sK0(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_222698,c_60]) ).
tcf(c_229741,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sdtpldt0(X0,sK0(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_222698,c_69]) ).
tcf(c_229742,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(X0,sK0(xm,xm)) ),
inference(superposition,[status(thm)],[c_222698,c_60]) ).
tcf(c_229743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(superposition,[status(thm)],[c_222698,c_62]) ).
tcf(c_229745,plain,
( ( sK0(xm,xm) = sz00 )
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(superposition,[status(thm)],[c_222698,c_220533]) ).
tcf(c_229748,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sdtpldt0(X0,sK0(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229741,c_50]) ).
tcf(c_229753,plain,
! [X0: $i] :
( ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229737,c_50]) ).
tcf(c_229758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229743,c_50]) ).
tcf(c_229764,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229738,c_50]) ).
tcf(c_229770,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(X0,sK0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229742,c_50]) ).
tcf(c_229776,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(sK0(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229739,c_50]) ).
tcf(c_229786,plain,
( ( sK0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_222699,c_67]) ).
tcf(c_229788,plain,
! [X0: $i] :
( ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_222699,c_68]) ).
tcf(c_229789,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(superposition,[status(thm)],[c_222699,c_62]) ).
tcf(c_229790,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(sK0(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_222699,c_60]) ).
tcf(c_229792,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sdtpldt0(X0,sK0(xn,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_222699,c_69]) ).
tcf(c_229793,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(X0,sK0(xn,xn)) ),
inference(superposition,[status(thm)],[c_222699,c_60]) ).
tcf(c_229794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(superposition,[status(thm)],[c_222699,c_62]) ).
tcf(c_229796,plain,
( ( sK0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(superposition,[status(thm)],[c_222699,c_220646]) ).
tcf(c_229800,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sdtpldt0(X0,sK0(xn,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229792,c_51]) ).
tcf(c_229805,plain,
! [X0: $i] :
( ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229788,c_51]) ).
tcf(c_229810,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229794,c_51]) ).
tcf(c_229816,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229789,c_51]) ).
tcf(c_229822,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(X0,sK0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229793,c_51]) ).
tcf(c_229828,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(sK0(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229790,c_51]) ).
tcf(c_229848,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| ( X1 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1)) ),
inference(superposition,[status(thm)],[c_220873,c_98]) ).
tcf(c_229849,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(sK0(sdtpldt0(sz00,X0),xm),X1) = sdtpldt0(X1,sK0(sdtpldt0(sz00,X0),xm)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_220748]) ).
tcf(c_229850,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sdtpldt0(sz00,X0),xm)) = sdtpldt0(X1,sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_220719]) ).
tcf(c_229851,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,sK0(sdtpldt0(sz00,X0),xm)) = sK0(sdtpldt0(sz00,X0),xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_220626]) ).
tcf(c_229852,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sdtpldt0(sz00,X0),xm),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xm)),X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_220599]) ).
tcf(c_229853,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sdtpldt0(sz00,X0),xm))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_220568]) ).
tcf(c_229854,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sK0(sdtpldt0(sz00,X0),xm),sz00) = sK0(sdtpldt0(sz00,X0),xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_220445]) ).
tcf(c_229855,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,X0),X1),sK0(sdtpldt0(sdtpldt0(sz00,X0),X1),sdtpldt0(xm,X1))) = sdtpldt0(xm,X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_222410]) ).
tcf(c_229856,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ( sdtpldt0(sdtpldt0(X1,sdtpldt0(sz00,X0)),sK0(sdtpldt0(X1,sdtpldt0(sz00,X0)),sdtpldt0(X1,xm))) = sdtpldt0(X1,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_222310]) ).
tcf(c_229857,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xm,sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_99]) ).
tcf(c_229858,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK0(sdtpldt0(sz00,X0),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_65]) ).
tcf(c_229859,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK0(sdtpldt0(sz00,X0),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229858,c_50]) ).
tcf(c_229865,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xm,sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229857,c_50]) ).
tcf(c_229872,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| ( X1 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229848,c_50]) ).
tcf(c_229880,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sK0(sdtpldt0(sz00,X0),xm),sz00) = sK0(sdtpldt0(sz00,X0),xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229854,c_50]) ).
tcf(c_229886,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,sK0(sdtpldt0(sz00,X0),xm)) = sK0(sdtpldt0(sz00,X0),xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229851,c_50]) ).
tcf(c_229892,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(sK0(sdtpldt0(sz00,X0),xm),X1) = sdtpldt0(X1,sK0(sdtpldt0(sz00,X0),xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229849,c_50]) ).
tcf(c_229899,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sdtpldt0(sz00,X0),xm)) = sdtpldt0(X1,sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xm))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229850,c_50]) ).
tcf(c_229907,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sdtpldt0(sz00,X0),xm))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xm))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229853,c_50]) ).
tcf(c_229915,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sdtpldt0(sz00,X0),xm),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xm)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229852,c_50]) ).
tcf(c_229923,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ( sdtpldt0(sdtpldt0(X1,sdtpldt0(sz00,X0)),sK0(sdtpldt0(X1,sdtpldt0(sz00,X0)),sdtpldt0(X1,xm))) = sdtpldt0(X1,xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229856,c_50]) ).
tcf(c_229931,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,X0),X1),sK0(sdtpldt0(sdtpldt0(sz00,X0),X1),sdtpldt0(xm,X1))) = sdtpldt0(xm,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229855,c_50]) ).
tcf(c_229957,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_98]) ).
tcf(c_229958,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(sK0(xm,sdtpldt0(sz00,X0)),X1) = sdtpldt0(X1,sK0(xm,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_220748]) ).
tcf(c_229959,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xm,sdtpldt0(sz00,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xm,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_220719]) ).
tcf(c_229960,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,sK0(xm,sdtpldt0(sz00,X0))) = sK0(xm,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_220626]) ).
tcf(c_229961,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xm,sdtpldt0(sz00,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xm,sdtpldt0(sz00,X0))),X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_220599]) ).
tcf(c_229962,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xm,sdtpldt0(sz00,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xm,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_220568]) ).
tcf(c_229963,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sK0(xm,sdtpldt0(sz00,X0)),sz00) = sK0(xm,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_220445]) ).
tcf(c_229964,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ( sdtpldt0(sdtpldt0(xm,X1),sK0(sdtpldt0(xm,X1),sdtpldt0(sdtpldt0(sz00,X0),X1))) = sdtpldt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_222410]) ).
tcf(c_229965,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ( sdtpldt0(sdtpldt0(X1,xm),sK0(sdtpldt0(X1,xm),sdtpldt0(X1,sdtpldt0(sz00,X0)))) = sdtpldt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_222310]) ).
tcf(c_229966,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),xm) ),
inference(superposition,[status(thm)],[c_220878,c_99]) ).
tcf(c_229967,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(xm,sK0(xm,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_65]) ).
tcf(c_229968,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(xm,sK0(xm,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229967,c_50]) ).
tcf(c_229974,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229966,c_50]) ).
tcf(c_229981,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229957,c_50]) ).
tcf(c_229989,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sK0(xm,sdtpldt0(sz00,X0)),sz00) = sK0(xm,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229963,c_50]) ).
tcf(c_229995,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,sK0(xm,sdtpldt0(sz00,X0))) = sK0(xm,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229960,c_50]) ).
tcf(c_230001,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(sK0(xm,sdtpldt0(sz00,X0)),X1) = sdtpldt0(X1,sK0(xm,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229958,c_50]) ).
tcf(c_230008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xm,sdtpldt0(sz00,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xm,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229959,c_50]) ).
tcf(c_230016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xm,sdtpldt0(sz00,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xm,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229962,c_50]) ).
tcf(c_230024,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xm,sdtpldt0(sz00,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xm,sdtpldt0(sz00,X0))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229961,c_50]) ).
tcf(c_230032,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ( sdtpldt0(sdtpldt0(X1,xm),sK0(sdtpldt0(X1,xm),sdtpldt0(X1,sdtpldt0(sz00,X0)))) = sdtpldt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229965,c_50]) ).
tcf(c_230040,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ( sdtpldt0(sdtpldt0(xm,X1),sK0(sdtpldt0(xm,X1),sdtpldt0(sdtpldt0(sz00,X0),X1))) = sdtpldt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229964,c_50]) ).
tcf(c_230093,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_220883,c_6235,c_223418]) ).
tcf(c_230102,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_98]) ).
tcf(c_230103,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(xm,sdtpldt0(X0,xm)),X1) = sdtpldt0(X1,sK0(xm,sdtpldt0(X0,xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_220748]) ).
tcf(c_230104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xm,sdtpldt0(X0,xm))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xm,sdtpldt0(X0,xm)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_220719]) ).
tcf(c_230105,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(xm,sdtpldt0(X0,xm))) = sK0(xm,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_220626]) ).
tcf(c_230106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xm,sdtpldt0(X0,xm)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xm,sdtpldt0(X0,xm))),X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_220599]) ).
tcf(c_230107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xm,sdtpldt0(X0,xm)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xm,sdtpldt0(X0,xm)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_220568]) ).
tcf(c_230108,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(xm,sdtpldt0(X0,xm)),sz00) = sK0(xm,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_220445]) ).
tcf(c_230109,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xm) = xm )
| ( sdtpldt0(sdtpldt0(xm,X1),sK0(sdtpldt0(xm,X1),sdtpldt0(sdtpldt0(X0,xm),X1))) = sdtpldt0(sdtpldt0(X0,xm),X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_222410]) ).
tcf(c_230110,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xm) = xm )
| ( sdtpldt0(sdtpldt0(X1,xm),sK0(sdtpldt0(X1,xm),sdtpldt0(X1,sdtpldt0(X0,xm)))) = sdtpldt0(X1,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_222310]) ).
tcf(c_230111,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm))
| ~ sdtlseqdt0(sdtpldt0(X0,xm),xm) ),
inference(superposition,[status(thm)],[c_230093,c_99]) ).
tcf(c_230112,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK0(xm,sdtpldt0(X0,xm))) = sdtpldt0(X0,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_65]) ).
tcf(c_230113,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK0(xm,sdtpldt0(X0,xm))) = sdtpldt0(X0,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230112,c_50]) ).
tcf(c_230118,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xm) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm))
| ~ sdtlseqdt0(sdtpldt0(X0,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230111,c_50]) ).
tcf(c_230124,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230102,c_50]) ).
tcf(c_230131,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(xm,sdtpldt0(X0,xm)),sz00) = sK0(xm,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230108,c_50]) ).
tcf(c_230136,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(xm,sdtpldt0(X0,xm))) = sK0(xm,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230105,c_50]) ).
tcf(c_230141,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(xm,sdtpldt0(X0,xm)),X1) = sdtpldt0(X1,sK0(xm,sdtpldt0(X0,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230103,c_50]) ).
tcf(c_230147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xm,sdtpldt0(X0,xm))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xm,sdtpldt0(X0,xm)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230104,c_50]) ).
tcf(c_230154,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xm,sdtpldt0(X0,xm)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xm,sdtpldt0(X0,xm)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230107,c_50]) ).
tcf(c_230161,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xm,sdtpldt0(X0,xm)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xm,sdtpldt0(X0,xm))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230106,c_50]) ).
tcf(c_230168,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xm) = xm )
| ( sdtpldt0(sdtpldt0(X1,xm),sK0(sdtpldt0(X1,xm),sdtpldt0(X1,sdtpldt0(X0,xm)))) = sdtpldt0(X1,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230110,c_50]) ).
tcf(c_230175,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xm) = xm )
| ( sdtpldt0(sdtpldt0(xm,X1),sK0(sdtpldt0(xm,X1),sdtpldt0(sdtpldt0(X0,xm),X1))) = sdtpldt0(sdtpldt0(X0,xm),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230109,c_50]) ).
tcf(c_230231,plain,
! [X0: $i] :
( ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_222706,c_68]) ).
tcf(c_230232,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(superposition,[status(thm)],[c_222706,c_62]) ).
tcf(c_230233,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(sK0(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_222706,c_60]) ).
tcf(c_230235,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sdtpldt0(X0,sK0(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_222706,c_69]) ).
tcf(c_230236,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(X0,sK0(xp,xp)) ),
inference(superposition,[status(thm)],[c_222706,c_60]) ).
tcf(c_230237,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(superposition,[status(thm)],[c_222706,c_62]) ).
tcf(c_230238,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sdtpldt0(X0,sK0(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230235,c_221332]) ).
tcf(c_230243,plain,
! [X0: $i] :
( ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230231,c_221332]) ).
tcf(c_230248,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230237,c_221332]) ).
tcf(c_230254,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230232,c_221332]) ).
tcf(c_230260,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(X0,sK0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230236,c_221332]) ).
tcf(c_230266,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(sK0(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230233,c_221332]) ).
tcf(c_230273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( doDivides0(X3,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_220925,c_76,c_4956]) ).
tcf(c_230274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( doDivides0(X3,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1) ),
inference(renaming,[status(thm)],[c_230273]) ).
tcf(c_230291,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(xm,X1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X1)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_52,c_230274]) ).
tcf(c_230292,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(sdtpldt0(xm,xn),X1))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X1)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_230274]) ).
tcf(c_230293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( doDivides0(X4,sdtpldt0(sdtpldt0(X0,X1),X3))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X4,X2)
| ~ doDivides0(X2,X3)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_230274]) ).
tcf(c_230294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( doDivides0(X3,sdtpldt0(sdtasdt0(X0,X1),X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X0)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_230274]) ).
tcf(c_230295,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(X0,sz00) ),
inference(superposition,[status(thm)],[c_222047,c_230274]) ).
tcf(c_230296,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X1)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_222050,c_230274]) ).
tcf(c_230297,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X1)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_222049,c_230274]) ).
tcf(c_230298,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X1)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_222048,c_230274]) ).
tcf(c_230299,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X1)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_223548,c_230274]) ).
tcf(c_230300,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xq,X1)
| ~ doDivides0(X0,xq) ),
inference(superposition,[status(thm)],[c_226431,c_230274]) ).
tcf(c_230301,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230295,c_92]) ).
tcf(c_230307,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xq,X1)
| ~ doDivides0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230300,c_225856,c_92]) ).
tcf(c_230313,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X1)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230299,c_221332,c_92]) ).
tcf(c_230319,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X1)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230298,c_92,c_51]) ).
tcf(c_230325,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X1)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230297,c_92,c_50]) ).
tcf(c_230331,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X1)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230296,c_92,c_49]) ).
tcf(c_230337,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(xm,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X1)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230291,c_50,c_49]) ).
tcf(c_230343,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(sdtpldt0(xm,xn),X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X1)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230292,c_49]) ).
tcf(c_230421,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl) ),
inference(global_subsumption_just,[status(thm)],[c_220930,c_3413,c_17729]) ).
tcf(c_230430,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xl)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_78]) ).
tcf(c_230431,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X2,sdtpldt0(sdtpldt0(xm,xn),X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X2,X0)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_230274]) ).
tcf(c_230432,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,xn),X0)) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_95]) ).
tcf(c_230433,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK1(X0,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_81]) ).
tcf(c_230483,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xl,xm),X0) = sdtpldt0(X0,sK1(xl,xm)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_220953]) ).
tcf(c_230484,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xl,sdtpldt0(xm,xn)),X0) = sdtpldt0(X0,sK1(xl,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_220953]) ).
tcf(c_230485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sK1(X2,sdtpldt0(X0,X1)),X3) = sdtpldt0(X3,sK1(X2,sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_220953]) ).
tcf(c_230486,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK1(X0,sdtasdt0(X0,X1)),X2) = sdtpldt0(X2,sK1(X0,sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_220953]) ).
tcf(c_230487,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(sz00,sz00),X0) = sdtpldt0(X0,sK1(sz00,sz00)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222047,c_220953]) ).
tcf(c_230488,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xl,sz00),X0) = sdtpldt0(X0,sK1(xl,sz00)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222050,c_220953]) ).
tcf(c_230489,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xm,sz00),X0) = sdtpldt0(X0,sK1(xm,sz00)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222049,c_220953]) ).
tcf(c_230490,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xn,sz00),X0) = sdtpldt0(X0,sK1(xn,sz00)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222048,c_220953]) ).
tcf(c_230491,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xp,sz00),X0) = sdtpldt0(X0,sK1(xp,sz00)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223548,c_220953]) ).
tcf(c_230492,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,sdtpldt0(xm,xn)),X1) = sdtpldt0(X1,sK1(X0,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_220953]) ).
tcf(c_230493,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xq,sz00),X0) = sdtpldt0(X0,sK1(xq,sz00)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226431,c_220953]) ).
tcf(c_230494,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(sz00,sz00),X0) = sdtpldt0(X0,sK1(sz00,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230487,c_92]) ).
tcf(c_230497,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xq,sz00),X0) = sdtpldt0(X0,sK1(xq,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230493,c_225856,c_92]) ).
tcf(c_230500,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xp,sz00),X0) = sdtpldt0(X0,sK1(xp,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230491,c_221332,c_92]) ).
tcf(c_230503,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xn,sz00),X0) = sdtpldt0(X0,sK1(xn,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230490,c_92,c_51]) ).
tcf(c_230506,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xm,sz00),X0) = sdtpldt0(X0,sK1(xm,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230489,c_92,c_50]) ).
tcf(c_230509,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xl,sz00),X0) = sdtpldt0(X0,sK1(xl,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230488,c_92,c_49]) ).
tcf(c_230512,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xl,xm),X0) = sdtpldt0(X0,sK1(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230483,c_50,c_49]) ).
tcf(c_230515,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xl,sdtpldt0(xm,xn)),X0) = sdtpldt0(X0,sK1(xl,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230484,c_49]) ).
tcf(c_230575,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xl,xm)) = sdtpldt0(X0,sdtpldt0(X1,sK1(xl,xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_220954]) ).
tcf(c_230576,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xl,sdtpldt0(xm,xn))) = sdtpldt0(X0,sdtpldt0(X1,sK1(xl,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_220954]) ).
tcf(c_230577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtpldt0(X3,X4),sK1(X2,sdtpldt0(X0,X1))) = sdtpldt0(X3,sdtpldt0(X4,sK1(X2,sdtpldt0(X0,X1)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_220954]) ).
tcf(c_230578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(X2,X3),sK1(X0,sdtasdt0(X0,X1))) = sdtpldt0(X2,sdtpldt0(X3,sK1(X0,sdtasdt0(X0,X1)))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_220954]) ).
tcf(c_230579,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(sz00,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK1(sz00,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222047,c_220954]) ).
tcf(c_230580,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xl,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK1(xl,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222050,c_220954]) ).
tcf(c_230581,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xm,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK1(xm,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222049,c_220954]) ).
tcf(c_230582,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xn,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK1(xn,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222048,c_220954]) ).
tcf(c_230583,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xp,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK1(xp,sz00))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223548,c_220954]) ).
tcf(c_230584,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sK1(X0,sdtpldt0(xm,xn))) = sdtpldt0(X1,sdtpldt0(X2,sK1(X0,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_220954]) ).
tcf(c_230585,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xq,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK1(xq,sz00))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226431,c_220954]) ).
tcf(c_230586,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(sz00,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK1(sz00,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230579,c_92]) ).
tcf(c_230590,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xq,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK1(xq,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230585,c_225856,c_92]) ).
tcf(c_230594,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xp,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK1(xp,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230583,c_221332,c_92]) ).
tcf(c_230598,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xn,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK1(xn,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230582,c_92,c_51]) ).
tcf(c_230602,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xm,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK1(xm,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230581,c_92,c_50]) ).
tcf(c_230606,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xl,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK1(xl,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230580,c_92,c_49]) ).
tcf(c_230610,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xl,xm)) = sdtpldt0(X0,sdtpldt0(X1,sK1(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230575,c_50,c_49]) ).
tcf(c_230614,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xl,sdtpldt0(xm,xn))) = sdtpldt0(X0,sdtpldt0(X1,sK1(xl,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230576,c_49]) ).
tcf(c_230728,plain,
( ( sdtpldt0(sz00,sK1(xl,xm)) = sK1(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_52,c_220955]) ).
tcf(c_230729,plain,
( ( sdtpldt0(sz00,sK1(xl,sdtpldt0(xm,xn))) = sK1(xl,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_220955]) ).
tcf(c_230730,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sz00,sK1(X2,sdtpldt0(X0,X1))) = sK1(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_77,c_220955]) ).
tcf(c_230731,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK1(X0,sdtasdt0(X0,X1))) = sK1(X0,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_220955]) ).
tcf(c_230732,plain,
( ( sdtpldt0(sz00,sK1(sz00,sz00)) = sK1(sz00,sz00) )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_222047,c_220955]) ).
tcf(c_230733,plain,
( ( sdtpldt0(sz00,sK1(xl,sz00)) = sK1(xl,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222050,c_220955]) ).
tcf(c_230734,plain,
( ( sdtpldt0(sz00,sK1(xm,sz00)) = sK1(xm,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222049,c_220955]) ).
tcf(c_230735,plain,
( ( sdtpldt0(sz00,sK1(xn,sz00)) = sK1(xn,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222048,c_220955]) ).
tcf(c_230736,plain,
( ( sdtpldt0(sz00,sK1(xp,sz00)) = sK1(xp,sz00) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_223548,c_220955]) ).
tcf(c_230737,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sK1(X0,sdtpldt0(xm,xn))) = sK1(X0,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_220955]) ).
tcf(c_230738,plain,
( ( sdtpldt0(sz00,sK1(xq,sz00)) = sK1(xq,sz00) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_226431,c_220955]) ).
tcf(c_230739,plain,
sdtpldt0(sz00,sK1(sz00,sz00)) = sK1(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_230732,c_92]) ).
tcf(c_230740,plain,
sdtpldt0(sz00,sK1(xq,sz00)) = sK1(xq,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_230738,c_225856,c_92]) ).
tcf(c_230741,plain,
sdtpldt0(sz00,sK1(xp,sz00)) = sK1(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_230736,c_221332,c_92]) ).
tcf(c_230742,plain,
sdtpldt0(sz00,sK1(xn,sz00)) = sK1(xn,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_230735,c_92,c_51]) ).
tcf(c_230743,plain,
sdtpldt0(sz00,sK1(xm,sz00)) = sK1(xm,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_230734,c_92,c_50]) ).
tcf(c_230744,plain,
sdtpldt0(sz00,sK1(xl,sz00)) = sK1(xl,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_230733,c_92,c_49]) ).
tcf(c_230745,plain,
sdtpldt0(sz00,sK1(xl,xm)) = sK1(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_230728,c_50,c_49]) ).
tcf(c_230746,plain,
( ( sdtpldt0(sz00,sK1(xl,sdtpldt0(xm,xn))) = sK1(xl,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230729,c_49]) ).
tcf(c_230783,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xp,sz00)),sz00)
| ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_223600,c_86]) ).
tcf(c_230784,plain,
( sdtlseqdt0(xp,sz00)
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_223600,c_82]) ).
tcf(c_230786,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sz00 = xp )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(X0,sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_223600,c_84]) ).
tcf(c_230789,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ( sdtasdt0(X0,sK1(xp,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_223600,c_89]) ).
tcf(c_230791,plain,
( ( sz00 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_223600,c_87]) ).
tcf(c_230792,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_223600,c_88]) ).
tcf(c_230793,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xp,sz00)))
| ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_223600,c_86]) ).
tcf(c_230794,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sK1(xp,sz00),X0) ),
inference(superposition,[status(thm)],[c_223600,c_84]) ).
tcf(c_230795,plain,
( ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230784,c_223930,c_221332]) ).
tcf(c_230799,plain,
! [X0: $i] :
( ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230792,c_124385,c_221332]) ).
tcf(c_230804,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ( sdtasdt0(X0,sK1(xp,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230789,c_221332]) ).
tcf(c_230810,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sK1(xp,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230794,c_124385,c_221332]) ).
tcf(c_230816,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xp,sz00)))
| ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230793,c_221332]) ).
tcf(c_230823,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(X0,sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230786,c_124385,c_221332]) ).
tcf(c_230829,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xp,sz00)),sz00)
| ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230783,c_221332]) ).
tcf(c_230848,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xl,xm),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xl,xm)),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_220956]) ).
tcf(c_230849,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xl,sdtpldt0(xm,xn)),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xl,sdtpldt0(xm,xn))),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_220956]) ).
tcf(c_230850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtasdt0(X4,X3),sdtasdt0(sK1(X2,sdtpldt0(X0,X1)),X3)) = sdtasdt0(sdtpldt0(X4,sK1(X2,sdtpldt0(X0,X1))),X3) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_220956]) ).
tcf(c_230851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(sK1(X0,sdtasdt0(X0,X1)),X2)) = sdtasdt0(sdtpldt0(X3,sK1(X0,sdtasdt0(X0,X1))),X2) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_220956]) ).
tcf(c_230852,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(sz00,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK1(sz00,sz00)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222047,c_220956]) ).
tcf(c_230853,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xl,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xl,sz00)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222050,c_220956]) ).
tcf(c_230854,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xm,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xm,sz00)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222049,c_220956]) ).
tcf(c_230855,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xn,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xn,sz00)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222048,c_220956]) ).
tcf(c_230856,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xp,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xp,sz00)),X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223548,c_220956]) ).
tcf(c_230857,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK1(X0,sdtpldt0(xm,xn)),X1)) = sdtasdt0(sdtpldt0(X2,sK1(X0,sdtpldt0(xm,xn))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_220956]) ).
tcf(c_230858,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xq,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xq,sz00)),X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226431,c_220956]) ).
tcf(c_230859,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(sz00,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK1(sz00,sz00)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230852,c_92]) ).
tcf(c_230863,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xq,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xq,sz00)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230858,c_225856,c_92]) ).
tcf(c_230867,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xp,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xp,sz00)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230856,c_221332,c_92]) ).
tcf(c_230871,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xn,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xn,sz00)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230855,c_92,c_51]) ).
tcf(c_230875,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xm,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xm,sz00)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230854,c_92,c_50]) ).
tcf(c_230879,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xl,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xl,sz00)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230853,c_92,c_49]) ).
tcf(c_230883,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xl,xm),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xl,xm)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230848,c_50,c_49]) ).
tcf(c_230887,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xl,sdtpldt0(xm,xn)),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xl,sdtpldt0(xm,xn))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_230849,c_49]) ).
tcf(c_231000,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xl,xm))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xl,xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_220957]) ).
tcf(c_231001,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xl,sdtpldt0(xm,xn)))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xl,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_220957]) ).
tcf(c_231002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtasdt0(X3,X4),sdtasdt0(X3,sK1(X2,sdtpldt0(X0,X1)))) = sdtasdt0(X3,sdtpldt0(X4,sK1(X2,sdtpldt0(X0,X1)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_220957]) ).
tcf(c_231003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sK1(X0,sdtasdt0(X0,X1)))) = sdtasdt0(X2,sdtpldt0(X3,sK1(X0,sdtasdt0(X0,X1)))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_220957]) ).
tcf(c_231004,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(sz00,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK1(sz00,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222047,c_220957]) ).
tcf(c_231005,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xl,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xl,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222050,c_220957]) ).
tcf(c_231006,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xm,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xm,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222049,c_220957]) ).
tcf(c_231007,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xn,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xn,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222048,c_220957]) ).
tcf(c_231008,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xp,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xp,sz00))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223548,c_220957]) ).
tcf(c_231009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK1(X0,sdtpldt0(xm,xn)))) = sdtasdt0(X1,sdtpldt0(X2,sK1(X0,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_220957]) ).
tcf(c_231010,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xq,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xq,sz00))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226431,c_220957]) ).
tcf(c_231011,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(sz00,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK1(sz00,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231004,c_92]) ).
tcf(c_231015,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xq,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xq,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231010,c_225856,c_92]) ).
tcf(c_231019,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xp,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xp,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231008,c_221332,c_92]) ).
tcf(c_231023,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xn,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xn,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231007,c_92,c_51]) ).
tcf(c_231027,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xm,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xm,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231006,c_92,c_50]) ).
tcf(c_231031,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xl,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xl,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231005,c_92,c_49]) ).
tcf(c_231035,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xl,xm))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231000,c_50,c_49]) ).
tcf(c_231039,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xl,sdtpldt0(xm,xn)))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xl,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231001,c_49]) ).
tcf(c_231105,plain,
( ( sdtpldt0(sK1(xl,xm),sz00) = sK1(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_52,c_220958]) ).
tcf(c_231106,plain,
( ( sdtpldt0(sK1(xl,sdtpldt0(xm,xn)),sz00) = sK1(xl,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_220958]) ).
tcf(c_231107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK1(X2,sdtpldt0(X0,X1)),sz00) = sK1(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_77,c_220958]) ).
tcf(c_231108,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,sdtasdt0(X0,X1)),sz00) = sK1(X0,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_220958]) ).
tcf(c_231109,plain,
( ( sdtpldt0(sK1(sz00,sz00),sz00) = sK1(sz00,sz00) )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_222047,c_220958]) ).
tcf(c_231110,plain,
( ( sdtpldt0(sK1(xl,sz00),sz00) = sK1(xl,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222050,c_220958]) ).
tcf(c_231111,plain,
( ( sdtpldt0(sK1(xm,sz00),sz00) = sK1(xm,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222049,c_220958]) ).
tcf(c_231112,plain,
( ( sdtpldt0(sK1(xn,sz00),sz00) = sK1(xn,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222048,c_220958]) ).
tcf(c_231113,plain,
( ( sdtpldt0(sK1(xp,sz00),sz00) = sK1(xp,sz00) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_223548,c_220958]) ).
tcf(c_231114,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(X0,sdtpldt0(xm,xn)),sz00) = sK1(X0,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_220958]) ).
tcf(c_231115,plain,
( ( sdtpldt0(sK1(xq,sz00),sz00) = sK1(xq,sz00) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_226431,c_220958]) ).
tcf(c_231116,plain,
sdtpldt0(sK1(sz00,sz00),sz00) = sK1(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_231109,c_92]) ).
tcf(c_231117,plain,
sdtpldt0(sK1(xq,sz00),sz00) = sK1(xq,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_231115,c_225856,c_92]) ).
tcf(c_231118,plain,
sdtpldt0(sK1(xp,sz00),sz00) = sK1(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_231113,c_221332,c_92]) ).
tcf(c_231119,plain,
sdtpldt0(sK1(xn,sz00),sz00) = sK1(xn,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_231112,c_92,c_51]) ).
tcf(c_231120,plain,
sdtpldt0(sK1(xm,sz00),sz00) = sK1(xm,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_231111,c_92,c_50]) ).
tcf(c_231121,plain,
sdtpldt0(sK1(xl,sz00),sz00) = sK1(xl,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_231110,c_92,c_49]) ).
tcf(c_231122,plain,
sdtpldt0(sK1(xl,xm),sz00) = sK1(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_231105,c_50,c_49]) ).
tcf(c_231123,plain,
( ( sdtpldt0(sK1(xl,sdtpldt0(xm,xn)),sz00) = sK1(xl,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231106,c_49]) ).
tcf(c_231243,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_223605,c_86]) ).
tcf(c_231244,plain,
( sdtlseqdt0(xp,sz00)
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_223605,c_82]) ).
tcf(c_231246,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_223605,c_84]) ).
tcf(c_231249,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_223605,c_89]) ).
tcf(c_231251,plain,
( ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_223605,c_87]) ).
tcf(c_231252,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_223605,c_88]) ).
tcf(c_231253,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_223605,c_86]) ).
tcf(c_231254,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_223605,c_84]) ).
tcf(c_231255,plain,
( ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231244,c_223930,c_221332]) ).
tcf(c_231259,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231252,c_124385,c_221332]) ).
tcf(c_231264,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_231249,c_221332]) ).
tcf(c_231270,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sdtsldt0(sz00,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231254,c_124385,c_221332]) ).
tcf(c_231276,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_231253,c_221332]) ).
tcf(c_231283,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231246,c_124385,c_221332]) ).
tcf(c_231289,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_231243,c_221332]) ).
tcf(c_231332,plain,
! [X0: $i] :
( ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ( sdtpldt0(xl,X0) != xm ) ),
inference(superposition,[status(thm)],[c_225375,c_68]) ).
tcf(c_231333,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(xl,xm)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK0(xl,xm)) ),
inference(superposition,[status(thm)],[c_225375,c_62]) ).
tcf(c_231334,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xl,X0))
| ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(sK0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_225375,c_60]) ).
tcf(c_231335,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ doDivides0(X0,sK0(xl,xm)) ),
inference(superposition,[status(thm)],[c_225375,c_77]) ).
tcf(c_231336,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ( sdtpldt0(X0,sK0(xl,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_225375,c_69]) ).
tcf(c_231337,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xm)
| ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(X0,sK0(xl,xm)) ),
inference(superposition,[status(thm)],[c_225375,c_60]) ).
tcf(c_231338,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xl,xm)),xm)
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK0(xl,xm)) ),
inference(superposition,[status(thm)],[c_225375,c_62]) ).
tcf(c_231340,plain,
( ( sK0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sK0(xl,xm))
| ( xl != xm ) ),
inference(superposition,[status(thm)],[c_225375,c_220495]) ).
tcf(c_231344,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ( sdtpldt0(X0,sK0(xl,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231336,c_49]) ).
tcf(c_231350,plain,
! [X0: $i] :
( ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ( sdtpldt0(xl,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231332,c_49]) ).
tcf(c_231355,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xl,xm)),xm)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231338,c_49]) ).
tcf(c_231361,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(xl,xm)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231333,c_49]) ).
tcf(c_231367,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xm)
| ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(X0,sK0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231337,c_49]) ).
tcf(c_231373,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xl,X0))
| ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(sK0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231334,c_49]) ).
tcf(c_231425,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xn)
| ( X1 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1)) ),
inference(superposition,[status(thm)],[c_221022,c_98]) ).
tcf(c_231426,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(sK0(sdtpldt0(sz00,X0),xn),X1) = sdtpldt0(X1,sK0(sdtpldt0(sz00,X0),xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_220748]) ).
tcf(c_231427,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sdtpldt0(sz00,X0),xn)) = sdtpldt0(X1,sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xn))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_220719]) ).
tcf(c_231428,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,sK0(sdtpldt0(sz00,X0),xn)) = sK0(sdtpldt0(sz00,X0),xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_220626]) ).
tcf(c_231429,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sdtpldt0(sz00,X0),xn),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xn)),X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_220599]) ).
tcf(c_231430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sdtpldt0(sz00,X0),xn))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xn))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_220568]) ).
tcf(c_231431,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sK0(sdtpldt0(sz00,X0),xn),sz00) = sK0(sdtpldt0(sz00,X0),xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_220445]) ).
tcf(c_231432,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,X0),X1),sK0(sdtpldt0(sdtpldt0(sz00,X0),X1),sdtpldt0(xn,X1))) = sdtpldt0(xn,X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_222410]) ).
tcf(c_231433,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ( sdtpldt0(sdtpldt0(X1,sdtpldt0(sz00,X0)),sK0(sdtpldt0(X1,sdtpldt0(sz00,X0)),sdtpldt0(X1,xn))) = sdtpldt0(X1,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_222310]) ).
tcf(c_231434,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xn,sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_99]) ).
tcf(c_231435,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK0(sdtpldt0(sz00,X0),xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_65]) ).
tcf(c_231436,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK0(sdtpldt0(sz00,X0),xn)) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231435,c_51]) ).
tcf(c_231442,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xn,sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231434,c_51]) ).
tcf(c_231449,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xn)
| ( X1 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231425,c_51]) ).
tcf(c_231457,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sK0(sdtpldt0(sz00,X0),xn),sz00) = sK0(sdtpldt0(sz00,X0),xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231431,c_51]) ).
tcf(c_231463,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,sK0(sdtpldt0(sz00,X0),xn)) = sK0(sdtpldt0(sz00,X0),xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231428,c_51]) ).
tcf(c_231469,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(sK0(sdtpldt0(sz00,X0),xn),X1) = sdtpldt0(X1,sK0(sdtpldt0(sz00,X0),xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231426,c_51]) ).
tcf(c_231476,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sdtpldt0(sz00,X0),xn)) = sdtpldt0(X1,sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xn))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231427,c_51]) ).
tcf(c_231484,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sdtpldt0(sz00,X0),xn))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xn))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231430,c_51]) ).
tcf(c_231492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sdtpldt0(sz00,X0),xn),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sdtpldt0(sz00,X0),xn)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231429,c_51]) ).
tcf(c_231500,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ( sdtpldt0(sdtpldt0(X1,sdtpldt0(sz00,X0)),sK0(sdtpldt0(X1,sdtpldt0(sz00,X0)),sdtpldt0(X1,xn))) = sdtpldt0(X1,xn) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231433,c_51]) ).
tcf(c_231508,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,X0),X1),sK0(sdtpldt0(sdtpldt0(sz00,X0),X1),sdtpldt0(xn,X1))) = sdtpldt0(xn,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231432,c_51]) ).
tcf(c_231705,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_98]) ).
tcf(c_231706,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(sK0(xn,sdtpldt0(sz00,X0)),X1) = sdtpldt0(X1,sK0(xn,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_220748]) ).
tcf(c_231707,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xn,sdtpldt0(sz00,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xn,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_220719]) ).
tcf(c_231708,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,sK0(xn,sdtpldt0(sz00,X0))) = sK0(xn,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_220626]) ).
tcf(c_231709,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xn,sdtpldt0(sz00,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xn,sdtpldt0(sz00,X0))),X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_220599]) ).
tcf(c_231710,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xn,sdtpldt0(sz00,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xn,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_220568]) ).
tcf(c_231711,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sK0(xn,sdtpldt0(sz00,X0)),sz00) = sK0(xn,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_220445]) ).
tcf(c_231712,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ( sdtpldt0(sdtpldt0(xn,X1),sK0(sdtpldt0(xn,X1),sdtpldt0(sdtpldt0(sz00,X0),X1))) = sdtpldt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_222410]) ).
tcf(c_231713,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ( sdtpldt0(sdtpldt0(X1,xn),sK0(sdtpldt0(X1,xn),sdtpldt0(X1,sdtpldt0(sz00,X0)))) = sdtpldt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_222310]) ).
tcf(c_231714,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),xn) ),
inference(superposition,[status(thm)],[c_221027,c_99]) ).
tcf(c_231715,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xn,sK0(xn,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_65]) ).
tcf(c_231716,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xn,sK0(xn,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231715,c_51]) ).
tcf(c_231722,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231714,c_51]) ).
tcf(c_231729,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231705,c_51]) ).
tcf(c_231737,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sK0(xn,sdtpldt0(sz00,X0)),sz00) = sK0(xn,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231711,c_51]) ).
tcf(c_231743,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,sK0(xn,sdtpldt0(sz00,X0))) = sK0(xn,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231708,c_51]) ).
tcf(c_231749,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(sK0(xn,sdtpldt0(sz00,X0)),X1) = sdtpldt0(X1,sK0(xn,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231706,c_51]) ).
tcf(c_231756,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xn,sdtpldt0(sz00,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xn,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231707,c_51]) ).
tcf(c_231764,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xn,sdtpldt0(sz00,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xn,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231710,c_51]) ).
tcf(c_231772,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xn,sdtpldt0(sz00,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xn,sdtpldt0(sz00,X0))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231709,c_51]) ).
tcf(c_231780,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ( sdtpldt0(sdtpldt0(X1,xn),sK0(sdtpldt0(X1,xn),sdtpldt0(X1,sdtpldt0(sz00,X0)))) = sdtpldt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231713,c_51]) ).
tcf(c_231788,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ( sdtpldt0(sdtpldt0(xn,X1),sK0(sdtpldt0(xn,X1),sdtpldt0(sdtpldt0(sz00,X0),X1))) = sdtpldt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231712,c_51]) ).
tcf(c_231796,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_221032,c_6230,c_223418]) ).
tcf(c_231805,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_98]) ).
tcf(c_231806,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(xn,sdtpldt0(X0,xn)),X1) = sdtpldt0(X1,sK0(xn,sdtpldt0(X0,xn))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_220748]) ).
tcf(c_231807,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xn,sdtpldt0(X0,xn))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xn,sdtpldt0(X0,xn)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_220719]) ).
tcf(c_231808,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(xn,sdtpldt0(X0,xn))) = sK0(xn,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_220626]) ).
tcf(c_231809,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xn,sdtpldt0(X0,xn)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xn,sdtpldt0(X0,xn))),X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_220599]) ).
tcf(c_231810,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xn,sdtpldt0(X0,xn)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xn,sdtpldt0(X0,xn)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_220568]) ).
tcf(c_231811,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(xn,sdtpldt0(X0,xn)),sz00) = sK0(xn,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_220445]) ).
tcf(c_231812,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xn) = xn )
| ( sdtpldt0(sdtpldt0(xn,X1),sK0(sdtpldt0(xn,X1),sdtpldt0(sdtpldt0(X0,xn),X1))) = sdtpldt0(sdtpldt0(X0,xn),X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_222410]) ).
tcf(c_231813,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xn) = xn )
| ( sdtpldt0(sdtpldt0(X1,xn),sK0(sdtpldt0(X1,xn),sdtpldt0(X1,sdtpldt0(X0,xn)))) = sdtpldt0(X1,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_222310]) ).
tcf(c_231814,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn))
| ~ sdtlseqdt0(sdtpldt0(X0,xn),xn) ),
inference(superposition,[status(thm)],[c_231796,c_99]) ).
tcf(c_231815,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK0(xn,sdtpldt0(X0,xn))) = sdtpldt0(X0,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_65]) ).
tcf(c_231816,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK0(xn,sdtpldt0(X0,xn))) = sdtpldt0(X0,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231815,c_51]) ).
tcf(c_231821,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xn) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn))
| ~ sdtlseqdt0(sdtpldt0(X0,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231814,c_51]) ).
tcf(c_231827,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231805,c_51]) ).
tcf(c_231834,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(xn,sdtpldt0(X0,xn)),sz00) = sK0(xn,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231811,c_51]) ).
tcf(c_231839,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(xn,sdtpldt0(X0,xn))) = sK0(xn,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231808,c_51]) ).
tcf(c_231844,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(xn,sdtpldt0(X0,xn)),X1) = sdtpldt0(X1,sK0(xn,sdtpldt0(X0,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231806,c_51]) ).
tcf(c_231850,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(xn,sdtpldt0(X0,xn))) = sdtpldt0(X1,sdtpldt0(X2,sK0(xn,sdtpldt0(X0,xn)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231807,c_51]) ).
tcf(c_231857,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(xn,sdtpldt0(X0,xn)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(xn,sdtpldt0(X0,xn)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231810,c_51]) ).
tcf(c_231864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(xn,sdtpldt0(X0,xn)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(xn,sdtpldt0(X0,xn))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231809,c_51]) ).
tcf(c_231871,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xn) = xn )
| ( sdtpldt0(sdtpldt0(X1,xn),sK0(sdtpldt0(X1,xn),sdtpldt0(X1,sdtpldt0(X0,xn)))) = sdtpldt0(X1,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231813,c_51]) ).
tcf(c_231878,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,xn) = xn )
| ( sdtpldt0(sdtpldt0(xn,X1),sK0(sdtpldt0(xn,X1),sdtpldt0(sdtpldt0(X0,xn),X1))) = sdtpldt0(sdtpldt0(X0,xn),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231812,c_51]) ).
tcf(c_231964,plain,
( ( sK0(xq,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0(xq,xq))
| ( sz00 != xq ) ),
inference(superposition,[status(thm)],[c_225866,c_67]) ).
tcf(c_231966,plain,
! [X0: $i] :
( ( sK0(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ( sdtpldt0(xq,X0) != xq ) ),
inference(superposition,[status(thm)],[c_225866,c_68]) ).
tcf(c_231967,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK0(xq,xq)))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK0(xq,xq)) ),
inference(superposition,[status(thm)],[c_225866,c_62]) ).
tcf(c_231968,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( sK0(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ~ sdtlseqdt0(sK0(xq,xq),X0) ),
inference(superposition,[status(thm)],[c_225866,c_60]) ).
tcf(c_231970,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ( sdtpldt0(X0,sK0(xq,xq)) != xq ) ),
inference(superposition,[status(thm)],[c_225866,c_69]) ).
tcf(c_231971,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( sK0(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ~ sdtlseqdt0(X0,sK0(xq,xq)) ),
inference(superposition,[status(thm)],[c_225866,c_60]) ).
tcf(c_231972,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xq,xq)),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,xq)) ),
inference(superposition,[status(thm)],[c_225866,c_62]) ).
tcf(c_231973,plain,
( ( sK0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK0(xq,xq))
| ( sz00 != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231964,c_225856]) ).
tcf(c_231977,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ( sdtpldt0(X0,sK0(xq,xq)) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231970,c_225856]) ).
tcf(c_231982,plain,
! [X0: $i] :
( ( sK0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ( sdtpldt0(xq,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231966,c_225856]) ).
tcf(c_231987,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xq,xq)),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231972,c_225856]) ).
tcf(c_231993,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK0(xq,xq)))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231967,c_225856]) ).
tcf(c_231999,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( sK0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ~ sdtlseqdt0(X0,sK0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231971,c_225856]) ).
tcf(c_232005,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( sK0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ~ sdtlseqdt0(sK0(xq,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_231968,c_225856]) ).
tcf(c_232020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xq,sz00)),sz00)
| ( X0 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(superposition,[status(thm)],[c_226954,c_86]) ).
tcf(c_232021,plain,
( sdtlseqdt0(xq,sz00)
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(superposition,[status(thm)],[c_226954,c_82]) ).
tcf(c_232023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sz00)
| ( sz00 = xq )
| ( sK1(xq,sz00) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ~ sdtlseqdt0(X0,sK1(xq,sz00)) ),
inference(superposition,[status(thm)],[c_226954,c_84]) ).
tcf(c_232026,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ( sdtasdt0(X0,sK1(xq,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_226954,c_89]) ).
tcf(c_232028,plain,
( ( sz00 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(superposition,[status(thm)],[c_226954,c_87]) ).
tcf(c_232029,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sK1(xq,sz00) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_226954,c_88]) ).
tcf(c_232030,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xq,sz00)))
| ( X0 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(superposition,[status(thm)],[c_226954,c_86]) ).
tcf(c_232031,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( sK1(xq,sz00) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ~ sdtlseqdt0(sK1(xq,sz00),X0) ),
inference(superposition,[status(thm)],[c_226954,c_84]) ).
tcf(c_232032,plain,
( sdtlseqdt0(xq,sz00)
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232021,c_225856]) ).
tcf(c_232036,plain,
( ( sz00 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232028,c_225856]) ).
tcf(c_232040,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sK1(xq,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232029,c_225856]) ).
tcf(c_232046,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ( sdtasdt0(X0,sK1(xq,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232026,c_225856]) ).
tcf(c_232052,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( sK1(xq,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ~ sdtlseqdt0(sK1(xq,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232031,c_225856]) ).
tcf(c_232059,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xq,sz00)))
| ( X0 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232030,c_225856]) ).
tcf(c_232066,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sz00)
| ( sz00 = xq )
| ( sK1(xq,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ~ sdtlseqdt0(X0,sK1(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232023,c_225856]) ).
tcf(c_232073,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xq,sz00)),sz00)
| ( X0 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232020,c_225856]) ).
tcf(c_232125,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_221047]) ).
tcf(c_232126,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_221047]) ).
tcf(c_232127,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_221047]) ).
tcf(c_232128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(X0,X1),X2),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_221047]) ).
tcf(c_232129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtpldt0(sK0(X0,X1),X2),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_221047]) ).
tcf(c_232130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(X0,X1),X2),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_221047]) ).
tcf(c_232131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtpldt0(sK1(X0,X1),X2),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_221047]) ).
tcf(c_232132,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_221047]) ).
tcf(c_232133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtpldt0(sdtsldt0(X1,X0),X2),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_221047]) ).
tcf(c_232134,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_221047]) ).
tcf(c_232135,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_221047]) ).
tcf(c_232189,plain,
( ( sdtasdt0(sK0(xm,sdtpldt0(xm,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_57,c_221048]) ).
tcf(c_232190,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtasdt0(sK0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_221048]) ).
tcf(c_232191,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtasdt0(sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_221048]) ).
tcf(c_232192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtasdt0(sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_221048]) ).
tcf(c_232193,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_221048]) ).
tcf(c_232194,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sK0(X0,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_221048]) ).
tcf(c_232195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtasdt0(sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_221048]) ).
tcf(c_232196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtasdt0(sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_221048]) ).
tcf(c_232197,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(X0,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_221048]) ).
tcf(c_232198,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtasdt0(sK0(X1,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_221048]) ).
tcf(c_232199,plain,
( ( sdtasdt0(sK0(sz00,sz00),sz00) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_221440,c_221048]) ).
tcf(c_232200,plain,
( ( sdtasdt0(sK0(xl,xl),sz00) = sz00 )
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222115,c_221048]) ).
tcf(c_232201,plain,
( ( sdtasdt0(sK0(xm,xm),sz00) = sz00 )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222114,c_221048]) ).
tcf(c_232202,plain,
( ( sdtasdt0(sK0(xn,xn),sz00) = sz00 )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222113,c_221048]) ).
tcf(c_232203,plain,
( ( sdtasdt0(sK0(sz00,xl),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222112,c_221048]) ).
tcf(c_232204,plain,
( ( sdtasdt0(sK0(sz00,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222111,c_221048]) ).
tcf(c_232205,plain,
( ( sdtasdt0(sK0(sz00,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222110,c_221048]) ).
tcf(c_232206,plain,
( ( sdtasdt0(sK0(xq,xp),sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_225405,c_221048]) ).
tcf(c_232207,plain,
( ( sdtasdt0(sK0(sz00,xq),sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_226977,c_221048]) ).
tcf(c_232208,plain,
( ( sdtasdt0(sK0(sz00,xp),sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_223873,c_221048]) ).
tcf(c_232209,plain,
( ( sdtasdt0(sK0(xp,xp),sz00) = sz00 )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_224410,c_221048]) ).
tcf(c_232210,plain,
( ( sdtasdt0(sK0(xq,xq),sz00) = sz00 )
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_227416,c_221048]) ).
tcf(c_232211,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xl,sdtpldt0(xl,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_221048]) ).
tcf(c_232212,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(sz00,sdtpldt0(sz00,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_221048]) ).
tcf(c_232213,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(xm,sdtpldt0(xm,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_221048]) ).
tcf(c_232214,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xn,sdtpldt0(xn,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_221048]) ).
tcf(c_232215,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(sK0(xl,sdtpldt0(sz00,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_221048]) ).
tcf(c_232216,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(sK0(xm,sdtpldt0(sz00,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_221048]) ).
tcf(c_232217,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(sK0(xn,sdtpldt0(sz00,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_221048]) ).
tcf(c_232218,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(sK0(sdtpldt0(sz00,X0),xl),sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_221048]) ).
tcf(c_232219,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(sK0(sdtpldt0(sz00,X0),xm),sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_221048]) ).
tcf(c_232220,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(sK0(sdtpldt0(sz00,X0),xn),sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_221048]) ).
tcf(c_232221,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtpldt0(X0,sz00)),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_221048]) ).
tcf(c_232222,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(sK0(xl,sdtpldt0(X0,sz00)),sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_221048]) ).
tcf(c_232223,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(sK0(xm,sdtpldt0(X0,sz00)),sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_221048]) ).
tcf(c_232224,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(sK0(xn,sdtpldt0(X0,sz00)),sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_221048]) ).
tcf(c_232225,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(xl,sdtpldt0(X0,xl)),sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_221048]) ).
tcf(c_232226,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(xm,sdtpldt0(X0,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_221048]) ).
tcf(c_232227,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(xn,sdtpldt0(X0,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_221048]) ).
tcf(c_232228,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(sK0(sdtpldt0(X0,sz00),xl),sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_221048]) ).
tcf(c_232229,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(sK0(sdtpldt0(X0,sz00),xm),sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_221048]) ).
tcf(c_232230,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(sK0(sdtpldt0(X0,sz00),xn),sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_221048]) ).
tcf(c_232231,plain,
( ( sdtasdt0(sK0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_225018,c_221048]) ).
tcf(c_232232,plain,
sdtasdt0(sK0(xq,xq),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_232210,c_225856]) ).
tcf(c_232233,plain,
sdtasdt0(sK0(xp,xp),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_232209,c_221332]) ).
tcf(c_232234,plain,
sdtasdt0(sK0(xn,xn),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_232202,c_51]) ).
tcf(c_232235,plain,
sdtasdt0(sK0(xm,xm),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_232201,c_50]) ).
tcf(c_232236,plain,
sdtasdt0(sK0(xl,xl),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_232200,c_49]) ).
tcf(c_232240,plain,
sdtasdt0(sK0(xl,xm),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_232231,c_50,c_49]) ).
tcf(c_232242,plain,
sdtasdt0(sK0(sz00,xq),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_232207,c_225856,c_92]) ).
tcf(c_232243,plain,
sdtasdt0(sK0(xq,xp),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_232206,c_225856,c_221332]) ).
tcf(c_232255,plain,
( ( sdtasdt0(sK0(xm,sdtpldt0(xm,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232189,c_50]) ).
tcf(c_232258,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xn,sdtpldt0(xn,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232214,c_51]) ).
tcf(c_232262,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(sz00,sdtpldt0(sz00,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232212,c_92]) ).
tcf(c_232266,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xl,sdtpldt0(xl,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232211,c_49]) ).
tcf(c_232274,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(xn,sdtpldt0(X0,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232227,c_51]) ).
tcf(c_232279,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(xm,sdtpldt0(X0,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232226,c_50]) ).
tcf(c_232284,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(xl,sdtpldt0(X0,xl)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232225,c_49]) ).
tcf(c_232289,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtpldt0(X0,sz00)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232221,c_92]) ).
tcf(c_232294,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(xm,sdtpldt0(xm,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232213,c_50]) ).
tcf(c_232304,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(sK0(sdtpldt0(X0,sz00),xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232230,c_51]) ).
tcf(c_232310,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(sK0(sdtpldt0(X0,sz00),xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232229,c_50]) ).
tcf(c_232316,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(sK0(sdtpldt0(X0,sz00),xl),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232228,c_49]) ).
tcf(c_232322,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(sK0(xn,sdtpldt0(X0,sz00)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232224,c_51]) ).
tcf(c_232328,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(sK0(xm,sdtpldt0(X0,sz00)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232223,c_50]) ).
tcf(c_232334,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(sK0(xl,sdtpldt0(X0,sz00)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232222,c_49]) ).
tcf(c_232340,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(sK0(sdtpldt0(sz00,X0),xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232220,c_51]) ).
tcf(c_232346,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(sK0(sdtpldt0(sz00,X0),xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232219,c_50]) ).
tcf(c_232352,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(sK0(sdtpldt0(sz00,X0),xl),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232218,c_49]) ).
tcf(c_232358,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(sK0(xn,sdtpldt0(sz00,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232217,c_51]) ).
tcf(c_232364,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(sK0(xm,sdtpldt0(sz00,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232216,c_50]) ).
tcf(c_232370,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(sK0(xl,sdtpldt0(sz00,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232215,c_49]) ).
tcf(c_232535,plain,
( ( sdtasdt0(sK1(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_52,c_221049]) ).
tcf(c_232536,plain,
( ( sdtasdt0(sK1(xl,sdtpldt0(xm,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_221049]) ).
tcf(c_232537,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK1(X2,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_221049]) ).
tcf(c_232538,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_221049]) ).
tcf(c_232539,plain,
( ( sdtasdt0(sK1(sz00,sz00),sz00) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_222047,c_221049]) ).
tcf(c_232540,plain,
( ( sdtasdt0(sK1(xl,sz00),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222050,c_221049]) ).
tcf(c_232541,plain,
( ( sdtasdt0(sK1(xm,sz00),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222049,c_221049]) ).
tcf(c_232542,plain,
( ( sdtasdt0(sK1(xn,sz00),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222048,c_221049]) ).
tcf(c_232543,plain,
( ( sdtasdt0(sK1(xp,sz00),sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_223548,c_221049]) ).
tcf(c_232544,plain,
! [X0: $i] :
( ( sdtasdt0(sK1(X0,sdtpldt0(xm,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_221049]) ).
tcf(c_232545,plain,
( ( sdtasdt0(sK1(xq,sz00),sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_226431,c_221049]) ).
tcf(c_232546,plain,
sdtasdt0(sK1(sz00,sz00),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_232539,c_92]) ).
tcf(c_232547,plain,
sdtasdt0(sK1(xq,sz00),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_232545,c_225856,c_92]) ).
tcf(c_232548,plain,
sdtasdt0(sK1(xp,sz00),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_232543,c_221332,c_92]) ).
tcf(c_232549,plain,
sdtasdt0(sK1(xn,sz00),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_232542,c_92,c_51]) ).
tcf(c_232550,plain,
sdtasdt0(sK1(xm,sz00),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_232541,c_92,c_50]) ).
tcf(c_232551,plain,
sdtasdt0(sK1(xl,sz00),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_232540,c_92,c_49]) ).
tcf(c_232552,plain,
sdtasdt0(sK1(xl,xm),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_232535,c_50,c_49]) ).
tcf(c_232553,plain,
( ( sdtasdt0(sK1(xl,sdtpldt0(xm,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232536,c_49]) ).
tcf(c_232621,plain,
( aNaturalNumber0(sdtpldt0(xm,xl))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_227110,c_76]) ).
tcf(c_232625,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xm,xl) != sz00 ) ),
inference(superposition,[status(thm)],[c_227110,c_66]) ).
tcf(c_232626,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != sdtpldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_227110,c_68]) ).
tcf(c_232627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(X0,xm))
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_227110,c_62]) ).
tcf(c_232628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xl,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_227110,c_60]) ).
tcf(c_232629,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_227110,c_77]) ).
tcf(c_232630,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_227110,c_69]) ).
tcf(c_232631,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),sdtpldt0(xm,xl))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_227110,c_60]) ).
tcf(c_232632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xl))
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_227110,c_62]) ).
tcf(c_232633,plain,
( sdtlseqdt0(xl,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_227110,c_223116]) ).
tcf(c_232634,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xl) != xl ) ),
inference(superposition,[status(thm)],[c_227110,c_220495]) ).
tcf(c_232635,plain,
( sdtlseqdt0(xm,sdtpldt0(xm,xl))
| ( xl = sz00 )
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_227110,c_230093]) ).
tcf(c_232636,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xm,xl) != xm ) ),
inference(superposition,[status(thm)],[c_227110,c_220860]) ).
tcf(c_232637,plain,
sdtlseqdt0(xl,sdtpldt0(xm,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_232633,c_50]) ).
tcf(c_232638,plain,
aNaturalNumber0(sdtpldt0(xm,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_232621,c_50,c_49]) ).
tcf(c_232639,plain,
sdtlseqdt0(xm,sdtpldt0(xm,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_232635,c_54,c_49]) ).
tcf(c_232640,plain,
sdtpldt0(xm,xl) != xm,
inference(forward_subsumption_resolution,[status(thm)],[c_232636,c_54,c_49]) ).
tcf(c_232641,plain,
sdtpldt0(xm,xl) != xl,
inference(forward_subsumption_resolution,[status(thm)],[c_232634,c_104694,c_50]) ).
tcf(c_232642,plain,
sdtpldt0(xm,xl) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_232625,c_54,c_50,c_49]) ).
tcf(c_232643,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232630,c_50,c_49]) ).
tcf(c_232647,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232629,c_50,c_49]) ).
tcf(c_232652,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != sdtpldt0(xm,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232626,c_50,c_49]) ).
tcf(c_232656,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xl))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232632,c_50,c_49]) ).
tcf(c_232661,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),sdtpldt0(xm,xl))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232631,c_50,c_49]) ).
tcf(c_232666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xl,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232628,c_50,c_49]) ).
tcf(c_232671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(X0,xm))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232627,c_50,c_49]) ).
tcf(c_232715,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_221047]) ).
tcf(c_232716,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xl),X0),sz00) = sdtpldt0(sdtpldt0(xm,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220778]) ).
tcf(c_232717,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(sdtpldt0(xm,xl),X0))) = sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(sdtpldt0(xm,xl),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220777]) ).
tcf(c_232718,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sdtpldt0(sdtpldt0(xm,xl),X0),X1)) = sdtasdt0(sdtpldt0(X2,sdtpldt0(sdtpldt0(xm,xl),X0)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220776]) ).
tcf(c_232719,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xm,xl),X0)) = sdtpldt0(sdtpldt0(xm,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220775]) ).
tcf(c_232720,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(sdtpldt0(xm,xl),X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtpldt0(sdtpldt0(xm,xl),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220774]) ).
tcf(c_232721,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xl),X0),X1) = sdtpldt0(X1,sdtpldt0(sdtpldt0(xm,xl),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220773]) ).
tcf(c_232722,plain,
sdtpldt0(sdtpldt0(xm,xl),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_232638,c_220749]) ).
tcf(c_232723,plain,
sdtpldt0(sdtpldt0(xm,xl),xn) = sdtpldt0(xn,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_232638,c_220747]) ).
tcf(c_232724,plain,
sdtpldt0(sdtpldt0(xm,xl),xm) = sdtpldt0(xm,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_232638,c_220746]) ).
tcf(c_232725,plain,
sdtpldt0(sdtpldt0(xm,xl),xl) = sdtpldt0(xl,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_232638,c_220745]) ).
tcf(c_232726,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xl),X0),sz00) = sdtpldt0(sdtpldt0(xm,xl),sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220720]) ).
tcf(c_232727,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xl),X0),xn) = sdtpldt0(sdtpldt0(xm,xl),sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220718]) ).
tcf(c_232728,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xl),X0),xm) = sdtpldt0(sdtpldt0(xm,xl),sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220717]) ).
tcf(c_232729,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xl),X0),xl) = sdtpldt0(sdtpldt0(xm,xl),sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220716]) ).
tcf(c_232730,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xl)),sdtasdt0(sz00,sdtpldt0(xm,xl))) = sdtasdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220600]) ).
tcf(c_232731,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xl)),sdtasdt0(xn,sdtpldt0(xm,xl))) = sdtasdt0(sdtpldt0(X0,xn),sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220598]) ).
tcf(c_232732,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xl)),sdtasdt0(xm,sdtpldt0(xm,xl))) = sdtasdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220597]) ).
tcf(c_232733,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xl)),sdtasdt0(xl,sdtpldt0(xm,xl))) = sdtasdt0(sdtpldt0(X0,xl),sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220596]) ).
tcf(c_232734,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xl),X0),sdtasdt0(sdtpldt0(xm,xl),sz00)) = sdtasdt0(sdtpldt0(xm,xl),sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220569]) ).
tcf(c_232735,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xl),X0),sdtasdt0(sdtpldt0(xm,xl),xn)) = sdtasdt0(sdtpldt0(xm,xl),sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220567]) ).
tcf(c_232736,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xl),X0),sdtasdt0(sdtpldt0(xm,xl),xm)) = sdtasdt0(sdtpldt0(xm,xl),sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220566]) ).
tcf(c_232737,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xl),X0),sdtasdt0(sdtpldt0(xm,xl),xl)) = sdtasdt0(sdtpldt0(xm,xl),sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_220565]) ).
tcf(c_232738,plain,
sdtpldt0(sdtpldt0(xm,xl),sK0(sdtpldt0(xm,xl),sdtpldt0(xm,xl))) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_232638,c_220435]) ).
tcf(c_232739,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xl),X0),sdtpldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_143]) ).
tcf(c_232740,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xl),X0) = sdtasdt0(X0,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_102]) ).
tcf(c_232741,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,xl)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_101]) ).
tcf(c_232742,plain,
sdtasdt0(sz00,sdtpldt0(xm,xl)) = sz00,
inference(superposition,[status(thm)],[c_232638,c_91]) ).
tcf(c_232743,plain,
sdtasdt0(sdtpldt0(xm,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_232638,c_90]) ).
tcf(c_232744,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xl),X0) = sdtpldt0(X0,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_75]) ).
tcf(c_232745,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xl)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_74]) ).
tcf(c_232746,plain,
sdtpldt0(sz00,sdtpldt0(xm,xl)) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_232638,c_73]) ).
tcf(c_232747,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,xl),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_71]) ).
tcf(c_232748,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,xl))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_70]) ).
tcf(c_232749,plain,
sdtpldt0(sdtpldt0(xm,xl),sz00) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_232638,c_72]) ).
tcf(c_232956,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X2,sK1(X2,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_221077,c_76,c_4957]) ).
tcf(c_232957,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X0,sK1(X0,sdtpldt0(X1,X2))) = sdtpldt0(X1,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1) ),
inference(renaming,[status(thm)],[c_232956]) ).
tcf(c_232971,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sK1(xl,sdtpldt0(xm,X0))) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0) ),
inference(superposition,[status(thm)],[c_52,c_232957]) ).
tcf(c_232972,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sK1(xl,sdtpldt0(sdtpldt0(xm,xn),X0))) = sdtpldt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_232957]) ).
tcf(c_232973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(X2,sK1(X2,sdtpldt0(sdtpldt0(X0,X1),X3))) = sdtpldt0(sdtpldt0(X0,X1),X3) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X3)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_232957]) ).
tcf(c_232974,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X0,sK1(X0,sdtpldt0(sdtasdt0(X0,X1),X2))) = sdtpldt0(sdtasdt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_232957]) ).
tcf(c_232975,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sK1(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_222047,c_232957]) ).
tcf(c_232976,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sK1(xl,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0) ),
inference(superposition,[status(thm)],[c_222050,c_232957]) ).
tcf(c_232977,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sK1(xm,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(superposition,[status(thm)],[c_222049,c_232957]) ).
tcf(c_232978,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sK1(xn,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X0) ),
inference(superposition,[status(thm)],[c_222048,c_232957]) ).
tcf(c_232979,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK1(xp,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) ),
inference(superposition,[status(thm)],[c_223548,c_232957]) ).
tcf(c_232980,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK1(X0,sdtpldt0(sdtpldt0(xm,xn),X1))) = sdtpldt0(sdtpldt0(xm,xn),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_232957]) ).
tcf(c_232981,plain,
! [X0: $i] :
( ( sdtasdt0(xq,sK1(xq,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xq,X0) ),
inference(superposition,[status(thm)],[c_226431,c_232957]) ).
tcf(c_232982,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sK1(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232975,c_92]) ).
tcf(c_232986,plain,
! [X0: $i] :
( ( sdtasdt0(xq,sK1(xq,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232981,c_225856,c_92]) ).
tcf(c_232990,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK1(xp,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232979,c_221332,c_92]) ).
tcf(c_232994,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sK1(xn,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232978,c_92,c_51]) ).
tcf(c_232998,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sK1(xm,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232977,c_92,c_50]) ).
tcf(c_233002,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sK1(xl,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232976,c_92,c_49]) ).
tcf(c_233006,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sK1(xl,sdtpldt0(xm,X0))) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232971,c_50,c_49]) ).
tcf(c_233010,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sK1(xl,sdtpldt0(sdtpldt0(xm,xn),X0))) = sdtpldt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_232972,c_49]) ).
tcf(c_233100,plain,
sdtasdt0(xl,sK1(xl,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn),
inference(global_subsumption_just,[status(thm)],[c_221079,c_3035,c_17729]) ).
tcf(c_233102,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xl,sdtpldt0(xm,xn))),sdtpldt0(xm,xn))
| ( X0 = xl )
| ( sK1(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_233100,c_86]) ).
tcf(c_233103,plain,
( sdtlseqdt0(xl,sdtpldt0(xm,xn))
| ( sK1(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_233100,c_82]) ).
tcf(c_233105,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sdtpldt0(xm,xn))
| ( xl = sz00 )
| ( sK1(xl,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(X0,sK1(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_233100,c_84]) ).
tcf(c_233107,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_233100,c_103]) ).
tcf(c_233108,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK1(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sK1(xl,sdtpldt0(xm,xn))) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_233100,c_89]) ).
tcf(c_233110,plain,
( ( xl = sz00 )
| ( sK1(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_233100,c_87]) ).
tcf(c_233111,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sK1(xl,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn)))
| ( sdtasdt0(xl,X0) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_233100,c_88]) ).
tcf(c_233112,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(X0,sK1(xl,sdtpldt0(xm,xn))))
| ( X0 = xl )
| ( sK1(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_233100,c_86]) ).
tcf(c_233113,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( sK1(xl,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(sK1(xl,sdtpldt0(xm,xn)),X0) ),
inference(superposition,[status(thm)],[c_233100,c_84]) ).
tcf(c_233114,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233107,c_49]) ).
tcf(c_233117,plain,
( sdtlseqdt0(xl,sdtpldt0(xm,xn))
| ( sK1(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233103,c_49]) ).
tcf(c_233121,plain,
( ( sK1(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233110,c_54,c_49]) ).
tcf(c_233125,plain,
! [X0: $i] :
( ( sK1(xl,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn)))
| ( sdtasdt0(xl,X0) != sdtpldt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233111,c_54,c_49]) ).
tcf(c_233130,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK1(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sK1(xl,sdtpldt0(xm,xn))) != sdtpldt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233108,c_49]) ).
tcf(c_233136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(xl,X0))
| ( sK1(xl,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(sK1(xl,sdtpldt0(xm,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233113,c_54,c_49]) ).
tcf(c_233142,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(X0,sK1(xl,sdtpldt0(xm,xn))))
| ( X0 = xl )
| ( sK1(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233112,c_49]) ).
tcf(c_233149,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sdtpldt0(xm,xn))
| ( sK1(xl,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(X0,sK1(xl,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233105,c_54,c_49]) ).
tcf(c_233155,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xl,sdtpldt0(xm,xn))),sdtpldt0(xm,xn))
| ( X0 = xl )
| ( sK1(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233102,c_49]) ).
tcf(c_233162,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_221100,c_103,c_2908]) ).
tcf(c_233172,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sK0(xl,sdtasdt0(xl,X0))) = sdtasdt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_233162]) ).
tcf(c_233173,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK0(xm,sdtasdt0(xm,X0))) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_233162]) ).
tcf(c_233174,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK0(xn,sdtasdt0(xn,X0))) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_233162]) ).
tcf(c_233175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtasdt0(sdtpldt0(X0,X1),X2))) = sdtasdt0(sdtpldt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_233162]) ).
tcf(c_233176,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtpldt0(sK0(X0,X1),sK0(sK0(X0,X1),sdtasdt0(sK0(X0,X1),X2))) = sdtasdt0(sK0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_233162]) ).
tcf(c_233177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtasdt0(sdtasdt0(X0,X1),X2))) = sdtasdt0(sdtasdt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_233162]) ).
tcf(c_233178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtpldt0(sK1(X0,X1),sK0(sK1(X0,X1),sdtasdt0(sK1(X0,X1),X2))) = sdtasdt0(sK1(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_233162]) ).
tcf(c_233179,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(sz00,X0))) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_233162]) ).
tcf(c_233180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sK0(sdtsldt0(X1,X0),sdtasdt0(sdtsldt0(X1,X0),X2))) = sdtasdt0(sdtsldt0(X1,X0),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_233162]) ).
tcf(c_233181,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,sK0(xq,sdtasdt0(xq,X0))) = sdtasdt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_233162]) ).
tcf(c_233182,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK0(xp,sdtasdt0(xp,X0))) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_233162]) ).
tcf(c_233183,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(xm,xl),sK0(sdtpldt0(xm,xl),sdtasdt0(sdtpldt0(xm,xl),X0))) = sdtasdt0(sdtpldt0(xm,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_233162]) ).
tcf(c_233290,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_98]) ).
tcf(c_233291,plain,
( ( sdtasdt0(sK0(xl,sdtpldt0(xm,xl)),sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_221048]) ).
tcf(c_233292,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xl,sdtpldt0(xm,xl)),X0) = sdtpldt0(X0,sK0(xl,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_220748]) ).
tcf(c_233293,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xl,sdtpldt0(xm,xl))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xl,sdtpldt0(xm,xl)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_220719]) ).
tcf(c_233294,plain,
( ( sdtpldt0(sz00,sK0(xl,sdtpldt0(xm,xl))) = sK0(xl,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_220626]) ).
tcf(c_233295,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xl,sdtpldt0(xm,xl)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xl,sdtpldt0(xm,xl))),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_220599]) ).
tcf(c_233296,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xl,sdtpldt0(xm,xl)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xl,sdtpldt0(xm,xl)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_220568]) ).
tcf(c_233297,plain,
( ( sdtpldt0(sK0(xl,sdtpldt0(xm,xl)),sz00) = sK0(xl,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_220445]) ).
tcf(c_233298,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = xl )
| ( sdtpldt0(sdtpldt0(xl,X0),sK0(sdtpldt0(xl,X0),sdtpldt0(sdtpldt0(xm,xl),X0))) = sdtpldt0(sdtpldt0(xm,xl),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_222410]) ).
tcf(c_233299,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = xl )
| ( sdtpldt0(sdtpldt0(X0,xl),sK0(sdtpldt0(X0,xl),sdtpldt0(X0,sdtpldt0(xm,xl)))) = sdtpldt0(X0,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_222310]) ).
tcf(c_233300,plain,
( ( sdtpldt0(xm,xl) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),xl) ),
inference(superposition,[status(thm)],[c_232637,c_99]) ).
tcf(c_233301,plain,
( ( sdtpldt0(xl,sK0(xl,sdtpldt0(xm,xl))) = sdtpldt0(xm,xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_65]) ).
tcf(c_233302,plain,
sdtasdt0(sK0(xl,sdtpldt0(xm,xl)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_233291,c_49,c_232638]) ).
tcf(c_233303,plain,
sdtpldt0(xl,sK0(xl,sdtpldt0(xm,xl))) = sdtpldt0(xm,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_233301,c_49,c_232638]) ).
tcf(c_233304,plain,
( ( sdtpldt0(xm,xl) = xl )
| ~ sdtlseqdt0(sdtpldt0(xm,xl),xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233300,c_49,c_232638]) ).
tcf(c_233307,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233290,c_49,c_232638]) ).
tcf(c_233311,plain,
sdtpldt0(sK0(xl,sdtpldt0(xm,xl)),sz00) = sK0(xl,sdtpldt0(xm,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_233297,c_49,c_232638]) ).
tcf(c_233312,plain,
sdtpldt0(sz00,sK0(xl,sdtpldt0(xm,xl))) = sK0(xl,sdtpldt0(xm,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_233294,c_49,c_232638]) ).
tcf(c_233313,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xl,sdtpldt0(xm,xl)),X0) = sdtpldt0(X0,sK0(xl,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233292,c_49,c_232638]) ).
tcf(c_233316,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xl,sdtpldt0(xm,xl))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xl,sdtpldt0(xm,xl)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233293,c_49,c_232638]) ).
tcf(c_233320,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xl,sdtpldt0(xm,xl)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xl,sdtpldt0(xm,xl)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233296,c_49,c_232638]) ).
tcf(c_233324,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xl,sdtpldt0(xm,xl)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xl,sdtpldt0(xm,xl))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233295,c_49,c_232638]) ).
tcf(c_233328,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = xl )
| ( sdtpldt0(sdtpldt0(X0,xl),sK0(sdtpldt0(X0,xl),sdtpldt0(X0,sdtpldt0(xm,xl)))) = sdtpldt0(X0,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233299,c_49,c_232638]) ).
tcf(c_233332,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = xl )
| ( sdtpldt0(sdtpldt0(xl,X0),sK0(sdtpldt0(xl,X0),sdtpldt0(sdtpldt0(xm,xl),X0))) = sdtpldt0(sdtpldt0(xm,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233298,c_49,c_232638]) ).
tcf(c_233383,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_98]) ).
tcf(c_233384,plain,
( ( sdtasdt0(sK0(xm,sdtpldt0(xm,xl)),sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_221048]) ).
tcf(c_233385,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xm,sdtpldt0(xm,xl)),X0) = sdtpldt0(X0,sK0(xm,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_220748]) ).
tcf(c_233386,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xm,sdtpldt0(xm,xl))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xl)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_220719]) ).
tcf(c_233387,plain,
( ( sdtpldt0(sz00,sK0(xm,sdtpldt0(xm,xl))) = sK0(xm,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_220626]) ).
tcf(c_233388,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xm,sdtpldt0(xm,xl)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xl))),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_220599]) ).
tcf(c_233389,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xm,sdtpldt0(xm,xl)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xl)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_220568]) ).
tcf(c_233390,plain,
( ( sdtpldt0(sK0(xm,sdtpldt0(xm,xl)),sz00) = sK0(xm,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_220445]) ).
tcf(c_233391,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = xm )
| ( sdtpldt0(sdtpldt0(xm,X0),sK0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xm,xl),X0))) = sdtpldt0(sdtpldt0(xm,xl),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_222410]) ).
tcf(c_233392,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = xm )
| ( sdtpldt0(sdtpldt0(X0,xm),sK0(sdtpldt0(X0,xm),sdtpldt0(X0,sdtpldt0(xm,xl)))) = sdtpldt0(X0,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_222310]) ).
tcf(c_233393,plain,
( ( sdtpldt0(xm,xl) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),xm) ),
inference(superposition,[status(thm)],[c_232639,c_99]) ).
tcf(c_233394,plain,
( ( sdtpldt0(xm,sK0(xm,sdtpldt0(xm,xl))) = sdtpldt0(xm,xl) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_65]) ).
tcf(c_233395,plain,
sdtasdt0(sK0(xm,sdtpldt0(xm,xl)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_233384,c_50,c_232638]) ).
tcf(c_233396,plain,
sdtpldt0(xm,sK0(xm,sdtpldt0(xm,xl))) = sdtpldt0(xm,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_233394,c_50,c_232638]) ).
tcf(c_233397,plain,
( ( sdtpldt0(xm,xl) = xm )
| ~ sdtlseqdt0(sdtpldt0(xm,xl),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233393,c_50,c_232638]) ).
tcf(c_233400,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233383,c_50,c_232638]) ).
tcf(c_233404,plain,
sdtpldt0(sK0(xm,sdtpldt0(xm,xl)),sz00) = sK0(xm,sdtpldt0(xm,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_233390,c_50,c_232638]) ).
tcf(c_233405,plain,
sdtpldt0(sz00,sK0(xm,sdtpldt0(xm,xl))) = sK0(xm,sdtpldt0(xm,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_233387,c_50,c_232638]) ).
tcf(c_233406,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xm,sdtpldt0(xm,xl)),X0) = sdtpldt0(X0,sK0(xm,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233385,c_50,c_232638]) ).
tcf(c_233409,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xm,sdtpldt0(xm,xl))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xl)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233386,c_50,c_232638]) ).
tcf(c_233413,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xm,sdtpldt0(xm,xl)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xl)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233389,c_50,c_232638]) ).
tcf(c_233417,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xm,sdtpldt0(xm,xl)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xl))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233388,c_50,c_232638]) ).
tcf(c_233421,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = xm )
| ( sdtpldt0(sdtpldt0(X0,xm),sK0(sdtpldt0(X0,xm),sdtpldt0(X0,sdtpldt0(xm,xl)))) = sdtpldt0(X0,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233392,c_50,c_232638]) ).
tcf(c_233425,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = xm )
| ( sdtpldt0(sdtpldt0(xm,X0),sK0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xm,xl),X0))) = sdtpldt0(sdtpldt0(xm,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233391,c_50,c_232638]) ).
tcf(c_233479,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_221120,c_103,c_7442]) ).
tcf(c_233480,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X1 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X2),sK0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(renaming,[status(thm)],[c_233479]) ).
tcf(c_233481,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X1 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X2),sK0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_233480,c_103,c_233480]) ).
tcf(c_233482,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X0 = X1 )
| ( sdtpldt0(sdtasdt0(X2,X0),sK0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))) = sdtasdt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(renaming,[status(thm)],[c_233481]) ).
tcf(c_233497,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = xm )
| ( sdtpldt0(sdtasdt0(X0,xm),sK0(sdtasdt0(X0,xm),sdtasdt0(X0,sdtpldt0(xm,xn)))) = sdtasdt0(X0,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_57,c_233482]) ).
tcf(c_233498,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| ( X2 = sz00 )
| ( X0 = X1 )
| ( sdtpldt0(sdtasdt0(X2,X0),sK0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))) = sdtasdt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_233482]) ).
tcf(c_233499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = sz00 )
| ( X1 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
| ( sdtpldt0(sdtasdt0(X3,sdtpldt0(X0,X1)),sK0(sdtasdt0(X3,sdtpldt0(X0,X1)),sdtasdt0(X3,sdtpldt0(X0,X2)))) = sdtasdt0(X3,sdtpldt0(X0,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_233482]) ).
tcf(c_233500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X2,X1) )
| ( sdtpldt0(sdtasdt0(X3,sdtpldt0(X0,X1)),sK0(sdtasdt0(X3,sdtpldt0(X0,X1)),sdtasdt0(X3,sdtpldt0(X2,X1)))) = sdtasdt0(X3,sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_233482]) ).
tcf(c_233501,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtpldt0(X0,X1) = X0 )
| ( sdtpldt0(sdtasdt0(X2,X0),sK0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtpldt0(X0,X1)))) = sdtasdt0(X2,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_233482]) ).
tcf(c_233502,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X0 )
| ( sdtpldt0(sdtasdt0(X2,X0),sK0(sdtasdt0(X2,X0),sdtasdt0(X2,sdtasdt0(X0,X1)))) = sdtasdt0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_233482]) ).
tcf(c_233503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = sz00 )
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
| ( sdtpldt0(sdtasdt0(X3,sdtasdt0(X0,X1)),sK0(sdtasdt0(X3,sdtasdt0(X0,X1)),sdtasdt0(X3,sdtasdt0(X0,X2)))) = sdtasdt0(X3,sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_233482]) ).
tcf(c_233504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = sz00 )
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X2,X1) )
| ( sdtpldt0(sdtasdt0(X3,sdtasdt0(X0,X1)),sK0(sdtasdt0(X3,sdtasdt0(X0,X1)),sdtasdt0(X3,sdtasdt0(X2,X1)))) = sdtasdt0(X3,sdtasdt0(X2,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_233482]) ).
tcf(c_233506,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| ( X2 = sz00 )
| ( X0 = X1 )
| ( sdtpldt0(sdtasdt0(X2,X1),sK0(sdtasdt0(X2,X1),sdtasdt0(X2,X0))) = sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_233482]) ).
tcf(c_233511,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sz00),sK0(sdtasdt0(X0,sz00),sdtasdt0(X0,xl))) = sdtasdt0(X0,xl) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222112,c_233482]) ).
tcf(c_233512,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sz00),sK0(sdtasdt0(X0,sz00),sdtasdt0(X0,xm))) = sdtasdt0(X0,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222111,c_233482]) ).
tcf(c_233513,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sz00),sK0(sdtasdt0(X0,sz00),sdtasdt0(X0,xn))) = sdtasdt0(X0,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222110,c_233482]) ).
tcf(c_233514,plain,
! [X0: $i] :
( ( xp = xq )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,xq),sK0(sdtasdt0(X0,xq),sdtasdt0(X0,xp))) = sdtasdt0(X0,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225405,c_233482]) ).
tcf(c_233515,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sz00),sK0(sdtasdt0(X0,sz00),sdtasdt0(X0,xq))) = sdtasdt0(X0,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226977,c_233482]) ).
tcf(c_233516,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = xl )
| ( sdtpldt0(sdtasdt0(X0,xl),sK0(sdtasdt0(X0,xl),sdtasdt0(X0,sdtpldt0(xm,xl)))) = sdtasdt0(X0,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_233482]) ).
tcf(c_233517,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sz00),sK0(sdtasdt0(X0,sz00),sdtasdt0(X0,xp))) = sdtasdt0(X0,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223873,c_233482]) ).
tcf(c_233520,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(xl,X0) = xl )
| ( sdtpldt0(sdtasdt0(X1,xl),sK0(sdtasdt0(X1,xl),sdtasdt0(X1,sdtpldt0(xl,X0)))) = sdtasdt0(X1,sdtpldt0(xl,X0)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_233482]) ).
tcf(c_233521,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sz00,X0) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sz00),sK0(sdtasdt0(X1,sz00),sdtasdt0(X1,sdtpldt0(sz00,X0)))) = sdtasdt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_233482]) ).
tcf(c_233522,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(xm,X0) = xm )
| ( sdtpldt0(sdtasdt0(X1,xm),sK0(sdtasdt0(X1,xm),sdtasdt0(X1,sdtpldt0(xm,X0)))) = sdtasdt0(X1,sdtpldt0(xm,X0)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_233482]) ).
tcf(c_233523,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(xn,X0) = xn )
| ( sdtpldt0(sdtasdt0(X1,xn),sK0(sdtasdt0(X1,xn),sdtasdt0(X1,sdtpldt0(xn,X0)))) = sdtasdt0(X1,sdtpldt0(xn,X0)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_233482]) ).
tcf(c_233524,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ( sdtpldt0(sdtasdt0(X1,xl),sK0(sdtasdt0(X1,xl),sdtasdt0(X1,sdtpldt0(sz00,X0)))) = sdtasdt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_233482]) ).
tcf(c_233525,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ( sdtpldt0(sdtasdt0(X1,xm),sK0(sdtasdt0(X1,xm),sdtasdt0(X1,sdtpldt0(sz00,X0)))) = sdtasdt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_233482]) ).
tcf(c_233526,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ( sdtpldt0(sdtasdt0(X1,xn),sK0(sdtasdt0(X1,xn),sdtasdt0(X1,sdtpldt0(sz00,X0)))) = sdtasdt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_233482]) ).
tcf(c_233527,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ( sdtpldt0(sdtasdt0(X1,sdtpldt0(sz00,X0)),sK0(sdtasdt0(X1,sdtpldt0(sz00,X0)),sdtasdt0(X1,xl))) = sdtasdt0(X1,xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_233482]) ).
tcf(c_233528,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ( sdtpldt0(sdtasdt0(X1,sdtpldt0(sz00,X0)),sK0(sdtasdt0(X1,sdtpldt0(sz00,X0)),sdtasdt0(X1,xm))) = sdtasdt0(X1,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_233482]) ).
tcf(c_233529,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ( sdtpldt0(sdtasdt0(X1,sdtpldt0(sz00,X0)),sK0(sdtasdt0(X1,sdtpldt0(sz00,X0)),sdtasdt0(X1,xn))) = sdtasdt0(X1,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_233482]) ).
tcf(c_233530,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(X0,sz00) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sz00),sK0(sdtasdt0(X1,sz00),sdtasdt0(X1,sdtpldt0(X0,sz00)))) = sdtasdt0(X1,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_233482]) ).
tcf(c_233531,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ( sdtpldt0(sdtasdt0(X1,xl),sK0(sdtasdt0(X1,xl),sdtasdt0(X1,sdtpldt0(X0,sz00)))) = sdtasdt0(X1,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_233482]) ).
tcf(c_233532,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ( sdtpldt0(sdtasdt0(X1,xm),sK0(sdtasdt0(X1,xm),sdtasdt0(X1,sdtpldt0(X0,sz00)))) = sdtasdt0(X1,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_233482]) ).
tcf(c_233533,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ( sdtpldt0(sdtasdt0(X1,xn),sK0(sdtasdt0(X1,xn),sdtasdt0(X1,sdtpldt0(X0,sz00)))) = sdtasdt0(X1,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_233482]) ).
tcf(c_233534,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(X0,xl) = xl )
| ( sdtpldt0(sdtasdt0(X1,xl),sK0(sdtasdt0(X1,xl),sdtasdt0(X1,sdtpldt0(X0,xl)))) = sdtasdt0(X1,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_233482]) ).
tcf(c_233535,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(X0,xm) = xm )
| ( sdtpldt0(sdtasdt0(X1,xm),sK0(sdtasdt0(X1,xm),sdtasdt0(X1,sdtpldt0(X0,xm)))) = sdtasdt0(X1,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_233482]) ).
tcf(c_233536,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(X0,xn) = xn )
| ( sdtpldt0(sdtasdt0(X1,xn),sK0(sdtasdt0(X1,xn),sdtasdt0(X1,sdtpldt0(X0,xn)))) = sdtasdt0(X1,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_233482]) ).
tcf(c_233537,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ( sdtpldt0(sdtasdt0(X1,sdtpldt0(X0,sz00)),sK0(sdtasdt0(X1,sdtpldt0(X0,sz00)),sdtasdt0(X1,xl))) = sdtasdt0(X1,xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_233482]) ).
tcf(c_233538,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ( sdtpldt0(sdtasdt0(X1,sdtpldt0(X0,sz00)),sK0(sdtasdt0(X1,sdtpldt0(X0,sz00)),sdtasdt0(X1,xm))) = sdtasdt0(X1,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_233482]) ).
tcf(c_233539,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ( sdtpldt0(sdtasdt0(X1,sdtpldt0(X0,sz00)),sK0(sdtasdt0(X1,sdtpldt0(X0,sz00)),sdtasdt0(X1,xn))) = sdtasdt0(X1,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_233482]) ).
tcf(c_233540,plain,
! [X0: $i] :
( ( xl = xm )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,xl),sK0(sdtasdt0(X0,xl),sdtasdt0(X0,xm))) = sdtasdt0(X0,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225018,c_233482]) ).
tcf(c_233541,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = xm )
| ( sdtpldt0(sdtasdt0(X0,xm),sK0(sdtasdt0(X0,xm),sdtasdt0(X0,sdtpldt0(xm,xl)))) = sdtasdt0(X0,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_233482]) ).
tcf(c_233542,plain,
! [X0: $i] :
( ( xl = xm )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,xl),sK0(sdtasdt0(X0,xl),sdtasdt0(X0,xm))) = sdtasdt0(X0,xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233540,c_50,c_49]) ).
tcf(c_233547,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sz00),sK0(sdtasdt0(X0,sz00),sdtasdt0(X0,xp))) = sdtasdt0(X0,xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233517,c_124385,c_221332,c_92]) ).
tcf(c_233551,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sz00),sK0(sdtasdt0(X0,sz00),sdtasdt0(X0,xq))) = sdtasdt0(X0,xq) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233515,c_225856,c_92]) ).
tcf(c_233556,plain,
! [X0: $i] :
( ( xp = xq )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,xq),sK0(sdtasdt0(X0,xq),sdtasdt0(X0,xp))) = sdtasdt0(X0,xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233514,c_225856,c_221332]) ).
tcf(c_233561,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sz00),sK0(sdtasdt0(X0,sz00),sdtasdt0(X0,xn))) = sdtasdt0(X0,xn) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233513,c_92,c_51]) ).
tcf(c_233566,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sz00),sK0(sdtasdt0(X0,sz00),sdtasdt0(X0,xm))) = sdtasdt0(X0,xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233512,c_104694,c_92,c_50]) ).
tcf(c_233570,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sz00),sK0(sdtasdt0(X0,sz00),sdtasdt0(X0,xl))) = sdtasdt0(X0,xl) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233511,c_54,c_92,c_49]) ).
tcf(c_233588,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = xm )
| ( sdtpldt0(sdtasdt0(X0,xm),sK0(sdtasdt0(X0,xm),sdtasdt0(X0,sdtpldt0(xm,xl)))) = sdtasdt0(X0,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233541,c_50,c_232638]) ).
tcf(c_233593,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = xl )
| ( sdtpldt0(sdtasdt0(X0,xl),sK0(sdtasdt0(X0,xl),sdtasdt0(X0,sdtpldt0(xm,xl)))) = sdtasdt0(X0,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233516,c_49,c_232638]) ).
tcf(c_233598,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = xm )
| ( sdtpldt0(sdtasdt0(X0,xm),sK0(sdtasdt0(X0,xm),sdtasdt0(X0,sdtpldt0(xm,xn)))) = sdtasdt0(X0,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233497,c_50]) ).
tcf(c_233604,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(xn,X0) = xn )
| ( sdtpldt0(sdtasdt0(X1,xn),sK0(sdtasdt0(X1,xn),sdtasdt0(X1,sdtpldt0(xn,X0)))) = sdtasdt0(X1,sdtpldt0(xn,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233523,c_51]) ).
tcf(c_233611,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sz00,X0) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sz00),sK0(sdtasdt0(X1,sz00),sdtasdt0(X1,sdtpldt0(sz00,X0)))) = sdtasdt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233521,c_92]) ).
tcf(c_233618,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(xl,X0) = xl )
| ( sdtpldt0(sdtasdt0(X1,xl),sK0(sdtasdt0(X1,xl),sdtasdt0(X1,sdtpldt0(xl,X0)))) = sdtasdt0(X1,sdtpldt0(xl,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233520,c_49]) ).
tcf(c_233632,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(X0,xn) = xn )
| ( sdtpldt0(sdtasdt0(X1,xn),sK0(sdtasdt0(X1,xn),sdtasdt0(X1,sdtpldt0(X0,xn)))) = sdtasdt0(X1,sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233536,c_51]) ).
tcf(c_233640,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(X0,xm) = xm )
| ( sdtpldt0(sdtasdt0(X1,xm),sK0(sdtasdt0(X1,xm),sdtasdt0(X1,sdtpldt0(X0,xm)))) = sdtasdt0(X1,sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233535,c_50]) ).
tcf(c_233648,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(X0,xl) = xl )
| ( sdtpldt0(sdtasdt0(X1,xl),sK0(sdtasdt0(X1,xl),sdtasdt0(X1,sdtpldt0(X0,xl)))) = sdtasdt0(X1,sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233534,c_49]) ).
tcf(c_233656,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(X0,sz00) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sz00),sK0(sdtasdt0(X1,sz00),sdtasdt0(X1,sdtpldt0(X0,sz00)))) = sdtasdt0(X1,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233530,c_92]) ).
tcf(c_233664,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(xm,X0) = xm )
| ( sdtpldt0(sdtasdt0(X1,xm),sK0(sdtasdt0(X1,xm),sdtasdt0(X1,sdtpldt0(xm,X0)))) = sdtasdt0(X1,sdtpldt0(xm,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233522,c_50]) ).
tcf(c_233680,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ( sdtpldt0(sdtasdt0(X1,sdtpldt0(X0,sz00)),sK0(sdtasdt0(X1,sdtpldt0(X0,sz00)),sdtasdt0(X1,xn))) = sdtasdt0(X1,xn) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233539,c_51]) ).
tcf(c_233689,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ( sdtpldt0(sdtasdt0(X1,sdtpldt0(X0,sz00)),sK0(sdtasdt0(X1,sdtpldt0(X0,sz00)),sdtasdt0(X1,xm))) = sdtasdt0(X1,xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233538,c_50]) ).
tcf(c_233698,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ( sdtpldt0(sdtasdt0(X1,sdtpldt0(X0,sz00)),sK0(sdtasdt0(X1,sdtpldt0(X0,sz00)),sdtasdt0(X1,xl))) = sdtasdt0(X1,xl) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233537,c_49]) ).
tcf(c_233707,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ( sdtpldt0(sdtasdt0(X1,xn),sK0(sdtasdt0(X1,xn),sdtasdt0(X1,sdtpldt0(X0,sz00)))) = sdtasdt0(X1,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233533,c_51]) ).
tcf(c_233716,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ( sdtpldt0(sdtasdt0(X1,xm),sK0(sdtasdt0(X1,xm),sdtasdt0(X1,sdtpldt0(X0,sz00)))) = sdtasdt0(X1,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233532,c_50]) ).
tcf(c_233725,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ( sdtpldt0(sdtasdt0(X1,xl),sK0(sdtasdt0(X1,xl),sdtasdt0(X1,sdtpldt0(X0,sz00)))) = sdtasdt0(X1,sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233531,c_49]) ).
tcf(c_233734,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ( sdtpldt0(sdtasdt0(X1,sdtpldt0(sz00,X0)),sK0(sdtasdt0(X1,sdtpldt0(sz00,X0)),sdtasdt0(X1,xn))) = sdtasdt0(X1,xn) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233529,c_51]) ).
tcf(c_233743,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ( sdtpldt0(sdtasdt0(X1,sdtpldt0(sz00,X0)),sK0(sdtasdt0(X1,sdtpldt0(sz00,X0)),sdtasdt0(X1,xm))) = sdtasdt0(X1,xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233528,c_50]) ).
tcf(c_233752,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ( sdtpldt0(sdtasdt0(X1,sdtpldt0(sz00,X0)),sK0(sdtasdt0(X1,sdtpldt0(sz00,X0)),sdtasdt0(X1,xl))) = sdtasdt0(X1,xl) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233527,c_49]) ).
tcf(c_233761,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ( sdtpldt0(sdtasdt0(X1,xn),sK0(sdtasdt0(X1,xn),sdtasdt0(X1,sdtpldt0(sz00,X0)))) = sdtasdt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233526,c_51]) ).
tcf(c_233770,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ( sdtpldt0(sdtasdt0(X1,xm),sK0(sdtasdt0(X1,xm),sdtasdt0(X1,sdtpldt0(sz00,X0)))) = sdtasdt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233525,c_50]) ).
tcf(c_233779,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ( sdtpldt0(sdtasdt0(X1,xl),sK0(sdtasdt0(X1,xl),sdtasdt0(X1,sdtpldt0(sz00,X0)))) = sdtasdt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233524,c_49]) ).
tcf(c_233984,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_221136,c_7506,c_223418]) ).
tcf(c_233996,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xn))
| ( sK1(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_233100,c_233984]) ).
tcf(c_233998,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_98]) ).
tcf(c_233999,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xl,X0) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sz00),sK0(sdtasdt0(X1,sz00),sdtasdt0(X1,sdtasdt0(xl,X0)))) = sdtasdt0(X1,sdtasdt0(xl,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_233482]) ).
tcf(c_234000,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(xl,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_221048]) ).
tcf(c_234001,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(xl,X0)),X1) = sdtpldt0(X1,sK0(sz00,sdtasdt0(xl,X0))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_220748]) ).
tcf(c_234002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sz00,sdtasdt0(xl,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(xl,X0)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_220719]) ).
tcf(c_234003,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xl,X0))) = sK0(sz00,sdtasdt0(xl,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_220626]) ).
tcf(c_234004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sz00,sdtasdt0(xl,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sz00,sdtasdt0(xl,X0))),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_220599]) ).
tcf(c_234005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sz00,sdtasdt0(xl,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(xl,X0)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_220568]) ).
tcf(c_234006,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(xl,X0)),sz00) = sK0(sz00,sdtasdt0(xl,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_220445]) ).
tcf(c_234007,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,X0) = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X1),sK0(sdtpldt0(sz00,X1),sdtpldt0(sdtasdt0(xl,X0),X1))) = sdtpldt0(sdtasdt0(xl,X0),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_222410]) ).
tcf(c_234008,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,X0) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sz00),sK0(sdtpldt0(X1,sz00),sdtpldt0(X1,sdtasdt0(xl,X0)))) = sdtpldt0(X1,sdtasdt0(xl,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_222310]) ).
tcf(c_234009,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0))
| ~ sdtlseqdt0(sdtasdt0(xl,X0),sz00) ),
inference(superposition,[status(thm)],[c_233984,c_99]) ).
tcf(c_234010,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xl,X0))) = sdtasdt0(xl,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_65]) ).
tcf(c_234014,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(xl,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234000,c_92]) ).
tcf(c_234019,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xl,X0))) = sdtasdt0(xl,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234010,c_92]) ).
tcf(c_234024,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0))
| ~ sdtlseqdt0(sdtasdt0(xl,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234009,c_92]) ).
tcf(c_234030,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233998,c_92]) ).
tcf(c_234037,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(xl,X0)),sz00) = sK0(sz00,sdtasdt0(xl,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234006,c_92]) ).
tcf(c_234042,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xl,X0))) = sK0(sz00,sdtasdt0(xl,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234003,c_92]) ).
tcf(c_234047,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(xl,X0)),X1) = sdtpldt0(X1,sK0(sz00,sdtasdt0(xl,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234001,c_92]) ).
tcf(c_234053,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sz00,sdtasdt0(xl,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(xl,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234002,c_92]) ).
tcf(c_234060,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sz00,sdtasdt0(xl,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(xl,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234005,c_92]) ).
tcf(c_234067,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sz00,sdtasdt0(xl,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sz00,sdtasdt0(xl,X0))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234004,c_92]) ).
tcf(c_234074,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,X0) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sz00),sK0(sdtpldt0(X1,sz00),sdtpldt0(X1,sdtasdt0(xl,X0)))) = sdtpldt0(X1,sdtasdt0(xl,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234008,c_92]) ).
tcf(c_234081,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,X0) = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X1),sK0(sdtpldt0(sz00,X1),sdtpldt0(sdtasdt0(xl,X0),X1))) = sdtpldt0(sdtasdt0(xl,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234007,c_92]) ).
tcf(c_234088,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xl,X0) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sz00),sK0(sdtasdt0(X1,sz00),sdtasdt0(X1,sdtasdt0(xl,X0)))) = sdtasdt0(X1,sdtasdt0(xl,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233999,c_92]) ).
tcf(c_234125,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_221149,c_58,c_2805,c_3678,c_3677,c_4537,c_6506,c_6776,c_7500,c_223418]) ).
tcf(c_234136,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_98]) ).
tcf(c_234137,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xm,X0) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sz00),sK0(sdtasdt0(X1,sz00),sdtasdt0(X1,sdtasdt0(xm,X0)))) = sdtasdt0(X1,sdtasdt0(xm,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_233482]) ).
tcf(c_234138,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(xm,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_221048]) ).
tcf(c_234139,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(xm,X0)),X1) = sdtpldt0(X1,sK0(sz00,sdtasdt0(xm,X0))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_220748]) ).
tcf(c_234140,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sz00,sdtasdt0(xm,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(xm,X0)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_220719]) ).
tcf(c_234141,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xm,X0))) = sK0(sz00,sdtasdt0(xm,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_220626]) ).
tcf(c_234142,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sz00,sdtasdt0(xm,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sz00,sdtasdt0(xm,X0))),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_220599]) ).
tcf(c_234143,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sz00,sdtasdt0(xm,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(xm,X0)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_220568]) ).
tcf(c_234144,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(xm,X0)),sz00) = sK0(sz00,sdtasdt0(xm,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_220445]) ).
tcf(c_234145,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,X0) = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X1),sK0(sdtpldt0(sz00,X1),sdtpldt0(sdtasdt0(xm,X0),X1))) = sdtpldt0(sdtasdt0(xm,X0),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_222410]) ).
tcf(c_234146,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,X0) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sz00),sK0(sdtpldt0(X1,sz00),sdtpldt0(X1,sdtasdt0(xm,X0)))) = sdtpldt0(X1,sdtasdt0(xm,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_222310]) ).
tcf(c_234147,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0))
| ~ sdtlseqdt0(sdtasdt0(xm,X0),sz00) ),
inference(superposition,[status(thm)],[c_234125,c_99]) ).
tcf(c_234148,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xm,X0))) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_65]) ).
tcf(c_234149,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(xm,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234138,c_92]) ).
tcf(c_234154,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xm,X0))) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234148,c_92]) ).
tcf(c_234159,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0))
| ~ sdtlseqdt0(sdtasdt0(xm,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234147,c_92]) ).
tcf(c_234165,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234136,c_92]) ).
tcf(c_234172,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(xm,X0)),sz00) = sK0(sz00,sdtasdt0(xm,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234144,c_92]) ).
tcf(c_234177,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xm,X0))) = sK0(sz00,sdtasdt0(xm,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234141,c_92]) ).
tcf(c_234182,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(xm,X0)),X1) = sdtpldt0(X1,sK0(sz00,sdtasdt0(xm,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234139,c_92]) ).
tcf(c_234188,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sz00,sdtasdt0(xm,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(xm,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234140,c_92]) ).
tcf(c_234195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sz00,sdtasdt0(xm,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(xm,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234143,c_92]) ).
tcf(c_234202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sz00,sdtasdt0(xm,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sz00,sdtasdt0(xm,X0))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234142,c_92]) ).
tcf(c_234209,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,X0) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sz00),sK0(sdtpldt0(X1,sz00),sdtpldt0(X1,sdtasdt0(xm,X0)))) = sdtpldt0(X1,sdtasdt0(xm,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234146,c_92]) ).
tcf(c_234216,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,X0) = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X1),sK0(sdtpldt0(sz00,X1),sdtpldt0(sdtasdt0(xm,X0),X1))) = sdtpldt0(sdtasdt0(xm,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234145,c_92]) ).
tcf(c_234223,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xm,X0) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sz00),sK0(sdtasdt0(X1,sz00),sdtasdt0(X1,sdtasdt0(xm,X0)))) = sdtasdt0(X1,sdtasdt0(xm,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234137,c_92]) ).
tcf(c_234440,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))) = sdtasdt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_221179,c_103,c_7701]) ).
tcf(c_234441,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X1 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sK0(sdtasdt0(X2,X1),sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(renaming,[status(thm)],[c_234440]) ).
tcf(c_234442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X1 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sK0(sdtasdt0(X2,X1),sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_234441,c_103,c_234441]) ).
tcf(c_234443,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X0 = X1 )
| ( sdtpldt0(sdtasdt0(X0,X2),sK0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))) = sdtasdt0(X1,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(renaming,[status(thm)],[c_234442]) ).
tcf(c_234458,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = xm )
| ( sdtpldt0(sdtasdt0(xm,X0),sK0(sdtasdt0(xm,X0),sdtasdt0(sdtpldt0(xm,xn),X0))) = sdtasdt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_57,c_234443]) ).
tcf(c_234459,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| ( X2 = sz00 )
| ( X0 = X1 )
| ( sdtpldt0(sdtasdt0(X0,X2),sK0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))) = sdtasdt0(X1,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_234443]) ).
tcf(c_234460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = sz00 )
| ( X1 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
| ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X3),sK0(sdtasdt0(sdtpldt0(X0,X1),X3),sdtasdt0(sdtpldt0(X0,X2),X3))) = sdtasdt0(sdtpldt0(X0,X2),X3) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_234443]) ).
tcf(c_234461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X2,X1) )
| ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X3),sK0(sdtasdt0(sdtpldt0(X0,X1),X3),sdtasdt0(sdtpldt0(X2,X1),X3))) = sdtasdt0(sdtpldt0(X2,X1),X3) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_234443]) ).
tcf(c_234462,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtpldt0(X0,X1) = X0 )
| ( sdtpldt0(sdtasdt0(X0,X2),sK0(sdtasdt0(X0,X2),sdtasdt0(sdtpldt0(X0,X1),X2))) = sdtasdt0(sdtpldt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_234443]) ).
tcf(c_234463,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X0 )
| ( sdtpldt0(sdtasdt0(X0,X2),sK0(sdtasdt0(X0,X2),sdtasdt0(sdtasdt0(X0,X1),X2))) = sdtasdt0(sdtasdt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_234443]) ).
tcf(c_234464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = sz00 )
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
| ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X3),sK0(sdtasdt0(sdtasdt0(X0,X1),X3),sdtasdt0(sdtasdt0(X0,X2),X3))) = sdtasdt0(sdtasdt0(X0,X2),X3) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_234443]) ).
tcf(c_234465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = sz00 )
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X2,X1) )
| ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X3),sK0(sdtasdt0(sdtasdt0(X0,X1),X3),sdtasdt0(sdtasdt0(X2,X1),X3))) = sdtasdt0(sdtasdt0(X2,X1),X3) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_234443]) ).
tcf(c_234467,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| ( X2 = sz00 )
| ( X0 = X1 )
| ( sdtpldt0(sdtasdt0(X1,X2),sK0(sdtasdt0(X1,X2),sdtasdt0(X0,X2))) = sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_234443]) ).
tcf(c_234472,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X0),sK0(sdtasdt0(sz00,X0),sdtasdt0(xl,X0))) = sdtasdt0(xl,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222112,c_234443]) ).
tcf(c_234473,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X0),sK0(sdtasdt0(sz00,X0),sdtasdt0(xm,X0))) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222111,c_234443]) ).
tcf(c_234474,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X0),sK0(sdtasdt0(sz00,X0),sdtasdt0(xn,X0))) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222110,c_234443]) ).
tcf(c_234475,plain,
! [X0: $i] :
( ( xp = xq )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(xq,X0),sK0(sdtasdt0(xq,X0),sdtasdt0(xp,X0))) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225405,c_234443]) ).
tcf(c_234476,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X0),sK0(sdtasdt0(sz00,X0),sdtasdt0(xq,X0))) = sdtasdt0(xq,X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226977,c_234443]) ).
tcf(c_234477,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = xl )
| ( sdtpldt0(sdtasdt0(xl,X0),sK0(sdtasdt0(xl,X0),sdtasdt0(sdtpldt0(xm,xl),X0))) = sdtasdt0(sdtpldt0(xm,xl),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_234443]) ).
tcf(c_234478,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X0),sK0(sdtasdt0(sz00,X0),sdtasdt0(xp,X0))) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223873,c_234443]) ).
tcf(c_234481,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(xl,X0) = xl )
| ( sdtpldt0(sdtasdt0(xl,X1),sK0(sdtasdt0(xl,X1),sdtasdt0(sdtpldt0(xl,X0),X1))) = sdtasdt0(sdtpldt0(xl,X0),X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_234443]) ).
tcf(c_234482,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sz00,X0) = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X1),sK0(sdtasdt0(sz00,X1),sdtasdt0(sdtpldt0(sz00,X0),X1))) = sdtasdt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_234443]) ).
tcf(c_234483,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(xm,X0) = xm )
| ( sdtpldt0(sdtasdt0(xm,X1),sK0(sdtasdt0(xm,X1),sdtasdt0(sdtpldt0(xm,X0),X1))) = sdtasdt0(sdtpldt0(xm,X0),X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_234443]) ).
tcf(c_234484,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(xn,X0) = xn )
| ( sdtpldt0(sdtasdt0(xn,X1),sK0(sdtasdt0(xn,X1),sdtasdt0(sdtpldt0(xn,X0),X1))) = sdtasdt0(sdtpldt0(xn,X0),X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_234443]) ).
tcf(c_234485,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ( sdtpldt0(sdtasdt0(xl,X1),sK0(sdtasdt0(xl,X1),sdtasdt0(sdtpldt0(sz00,X0),X1))) = sdtasdt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_234443]) ).
tcf(c_234486,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ( sdtpldt0(sdtasdt0(xm,X1),sK0(sdtasdt0(xm,X1),sdtasdt0(sdtpldt0(sz00,X0),X1))) = sdtasdt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_234443]) ).
tcf(c_234487,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ( sdtpldt0(sdtasdt0(xn,X1),sK0(sdtasdt0(xn,X1),sdtasdt0(sdtpldt0(sz00,X0),X1))) = sdtasdt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_234443]) ).
tcf(c_234488,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,X0),X1),sK0(sdtasdt0(sdtpldt0(sz00,X0),X1),sdtasdt0(xl,X1))) = sdtasdt0(xl,X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_234443]) ).
tcf(c_234489,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,X0),X1),sK0(sdtasdt0(sdtpldt0(sz00,X0),X1),sdtasdt0(xm,X1))) = sdtasdt0(xm,X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_234443]) ).
tcf(c_234490,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,X0),X1),sK0(sdtasdt0(sdtpldt0(sz00,X0),X1),sdtasdt0(xn,X1))) = sdtasdt0(xn,X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_234443]) ).
tcf(c_234491,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(X0,sz00) = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X1),sK0(sdtasdt0(sz00,X1),sdtasdt0(sdtpldt0(X0,sz00),X1))) = sdtasdt0(sdtpldt0(X0,sz00),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_234443]) ).
tcf(c_234492,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ( sdtpldt0(sdtasdt0(xl,X1),sK0(sdtasdt0(xl,X1),sdtasdt0(sdtpldt0(X0,sz00),X1))) = sdtasdt0(sdtpldt0(X0,sz00),X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_234443]) ).
tcf(c_234493,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ( sdtpldt0(sdtasdt0(xm,X1),sK0(sdtasdt0(xm,X1),sdtasdt0(sdtpldt0(X0,sz00),X1))) = sdtasdt0(sdtpldt0(X0,sz00),X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_234443]) ).
tcf(c_234494,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ( sdtpldt0(sdtasdt0(xn,X1),sK0(sdtasdt0(xn,X1),sdtasdt0(sdtpldt0(X0,sz00),X1))) = sdtasdt0(sdtpldt0(X0,sz00),X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_234443]) ).
tcf(c_234495,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(X0,xl) = xl )
| ( sdtpldt0(sdtasdt0(xl,X1),sK0(sdtasdt0(xl,X1),sdtasdt0(sdtpldt0(X0,xl),X1))) = sdtasdt0(sdtpldt0(X0,xl),X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_234443]) ).
tcf(c_234496,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(X0,xm) = xm )
| ( sdtpldt0(sdtasdt0(xm,X1),sK0(sdtasdt0(xm,X1),sdtasdt0(sdtpldt0(X0,xm),X1))) = sdtasdt0(sdtpldt0(X0,xm),X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_234443]) ).
tcf(c_234497,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(X0,xn) = xn )
| ( sdtpldt0(sdtasdt0(xn,X1),sK0(sdtasdt0(xn,X1),sdtasdt0(sdtpldt0(X0,xn),X1))) = sdtasdt0(sdtpldt0(X0,xn),X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_234443]) ).
tcf(c_234498,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ( sdtpldt0(sdtasdt0(sdtpldt0(X0,sz00),X1),sK0(sdtasdt0(sdtpldt0(X0,sz00),X1),sdtasdt0(xl,X1))) = sdtasdt0(xl,X1) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_234443]) ).
tcf(c_234499,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ( sdtpldt0(sdtasdt0(sdtpldt0(X0,sz00),X1),sK0(sdtasdt0(sdtpldt0(X0,sz00),X1),sdtasdt0(xm,X1))) = sdtasdt0(xm,X1) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_234443]) ).
tcf(c_234500,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ( sdtpldt0(sdtasdt0(sdtpldt0(X0,sz00),X1),sK0(sdtasdt0(sdtpldt0(X0,sz00),X1),sdtasdt0(xn,X1))) = sdtasdt0(xn,X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_234443]) ).
tcf(c_234501,plain,
! [X0: $i] :
( ( xl = xm )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(xl,X0),sK0(sdtasdt0(xl,X0),sdtasdt0(xm,X0))) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225018,c_234443]) ).
tcf(c_234502,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xl,X0) = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X1),sK0(sdtasdt0(sz00,X1),sdtasdt0(sdtasdt0(xl,X0),X1))) = sdtasdt0(sdtasdt0(xl,X0),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_234443]) ).
tcf(c_234503,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xm,X0) = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X1),sK0(sdtasdt0(sz00,X1),sdtasdt0(sdtasdt0(xm,X0),X1))) = sdtasdt0(sdtasdt0(xm,X0),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_234443]) ).
tcf(c_234504,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = xm )
| ( sdtpldt0(sdtasdt0(xm,X0),sK0(sdtasdt0(xm,X0),sdtasdt0(sdtpldt0(xm,xl),X0))) = sdtasdt0(sdtpldt0(xm,xl),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_234443]) ).
tcf(c_234505,plain,
! [X0: $i] :
( ( xl = xm )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(xl,X0),sK0(sdtasdt0(xl,X0),sdtasdt0(xm,X0))) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234501,c_50,c_49]) ).
tcf(c_234510,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X0),sK0(sdtasdt0(sz00,X0),sdtasdt0(xp,X0))) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234478,c_124385,c_221332,c_92]) ).
tcf(c_234514,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X0),sK0(sdtasdt0(sz00,X0),sdtasdt0(xq,X0))) = sdtasdt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234476,c_225856,c_92]) ).
tcf(c_234519,plain,
! [X0: $i] :
( ( xp = xq )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(xq,X0),sK0(sdtasdt0(xq,X0),sdtasdt0(xp,X0))) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234475,c_225856,c_221332]) ).
tcf(c_234524,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X0),sK0(sdtasdt0(sz00,X0),sdtasdt0(xn,X0))) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234474,c_92,c_51]) ).
tcf(c_234529,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X0),sK0(sdtasdt0(sz00,X0),sdtasdt0(xm,X0))) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234473,c_104694,c_92,c_50]) ).
tcf(c_234533,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X0),sK0(sdtasdt0(sz00,X0),sdtasdt0(xl,X0))) = sdtasdt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234472,c_54,c_92,c_49]) ).
tcf(c_234551,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(xm,X0),sK0(sdtasdt0(xm,X0),sdtasdt0(sdtpldt0(xm,xl),X0))) = sdtasdt0(sdtpldt0(xm,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234504,c_232640,c_50,c_232638]) ).
tcf(c_234555,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(xl,X0),sK0(sdtasdt0(xl,X0),sdtasdt0(sdtpldt0(xm,xl),X0))) = sdtasdt0(sdtpldt0(xm,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234477,c_232641,c_49,c_232638]) ).
tcf(c_234559,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = xm )
| ( sdtpldt0(sdtasdt0(xm,X0),sK0(sdtasdt0(xm,X0),sdtasdt0(sdtpldt0(xm,xn),X0))) = sdtasdt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234458,c_50]) ).
tcf(c_234565,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(xn,X0) = xn )
| ( sdtpldt0(sdtasdt0(xn,X1),sK0(sdtasdt0(xn,X1),sdtasdt0(sdtpldt0(xn,X0),X1))) = sdtasdt0(sdtpldt0(xn,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234484,c_51]) ).
tcf(c_234572,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sz00,X0) = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X1),sK0(sdtasdt0(sz00,X1),sdtasdt0(sdtpldt0(sz00,X0),X1))) = sdtasdt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234482,c_92]) ).
tcf(c_234579,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(xl,X0) = xl )
| ( sdtpldt0(sdtasdt0(xl,X1),sK0(sdtasdt0(xl,X1),sdtasdt0(sdtpldt0(xl,X0),X1))) = sdtasdt0(sdtpldt0(xl,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234481,c_49]) ).
tcf(c_234593,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xm,X0) = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X1),sK0(sdtasdt0(sz00,X1),sdtasdt0(sdtasdt0(xm,X0),X1))) = sdtasdt0(sdtasdt0(xm,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234503,c_92]) ).
tcf(c_234601,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xl,X0) = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X1),sK0(sdtasdt0(sz00,X1),sdtasdt0(sdtasdt0(xl,X0),X1))) = sdtasdt0(sdtasdt0(xl,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234502,c_92]) ).
tcf(c_234609,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(X0,xn) = xn )
| ( sdtpldt0(sdtasdt0(xn,X1),sK0(sdtasdt0(xn,X1),sdtasdt0(sdtpldt0(X0,xn),X1))) = sdtasdt0(sdtpldt0(X0,xn),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234497,c_51]) ).
tcf(c_234617,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(X0,xm) = xm )
| ( sdtpldt0(sdtasdt0(xm,X1),sK0(sdtasdt0(xm,X1),sdtasdt0(sdtpldt0(X0,xm),X1))) = sdtasdt0(sdtpldt0(X0,xm),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234496,c_50]) ).
tcf(c_234625,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(X0,xl) = xl )
| ( sdtpldt0(sdtasdt0(xl,X1),sK0(sdtasdt0(xl,X1),sdtasdt0(sdtpldt0(X0,xl),X1))) = sdtasdt0(sdtpldt0(X0,xl),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234495,c_49]) ).
tcf(c_234633,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(X0,sz00) = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X1),sK0(sdtasdt0(sz00,X1),sdtasdt0(sdtpldt0(X0,sz00),X1))) = sdtasdt0(sdtpldt0(X0,sz00),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234491,c_92]) ).
tcf(c_234641,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(xm,X0) = xm )
| ( sdtpldt0(sdtasdt0(xm,X1),sK0(sdtasdt0(xm,X1),sdtasdt0(sdtpldt0(xm,X0),X1))) = sdtasdt0(sdtpldt0(xm,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234483,c_50]) ).
tcf(c_234657,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ( sdtpldt0(sdtasdt0(sdtpldt0(X0,sz00),X1),sK0(sdtasdt0(sdtpldt0(X0,sz00),X1),sdtasdt0(xn,X1))) = sdtasdt0(xn,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234500,c_51]) ).
tcf(c_234666,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ( sdtpldt0(sdtasdt0(sdtpldt0(X0,sz00),X1),sK0(sdtasdt0(sdtpldt0(X0,sz00),X1),sdtasdt0(xm,X1))) = sdtasdt0(xm,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234499,c_50]) ).
tcf(c_234675,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ( sdtpldt0(sdtasdt0(sdtpldt0(X0,sz00),X1),sK0(sdtasdt0(sdtpldt0(X0,sz00),X1),sdtasdt0(xl,X1))) = sdtasdt0(xl,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234498,c_49]) ).
tcf(c_234684,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xn )
| ( sdtpldt0(X0,sz00) = xn )
| ( sdtpldt0(sdtasdt0(xn,X1),sK0(sdtasdt0(xn,X1),sdtasdt0(sdtpldt0(X0,sz00),X1))) = sdtasdt0(sdtpldt0(X0,sz00),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234494,c_51]) ).
tcf(c_234693,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xm )
| ( sdtpldt0(X0,sz00) = xm )
| ( sdtpldt0(sdtasdt0(xm,X1),sK0(sdtasdt0(xm,X1),sdtasdt0(sdtpldt0(X0,sz00),X1))) = sdtasdt0(sdtpldt0(X0,sz00),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234493,c_50]) ).
tcf(c_234702,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xl )
| ( sdtpldt0(X0,sz00) = xl )
| ( sdtpldt0(sdtasdt0(xl,X1),sK0(sdtasdt0(xl,X1),sdtasdt0(sdtpldt0(X0,sz00),X1))) = sdtasdt0(sdtpldt0(X0,sz00),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234492,c_49]) ).
tcf(c_234711,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,X0),X1),sK0(sdtasdt0(sdtpldt0(sz00,X0),X1),sdtasdt0(xn,X1))) = sdtasdt0(xn,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234490,c_51]) ).
tcf(c_234720,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,X0),X1),sK0(sdtasdt0(sdtpldt0(sz00,X0),X1),sdtasdt0(xm,X1))) = sdtasdt0(xm,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234489,c_50]) ).
tcf(c_234729,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,X0),X1),sK0(sdtasdt0(sdtpldt0(sz00,X0),X1),sdtasdt0(xl,X1))) = sdtasdt0(xl,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234488,c_49]) ).
tcf(c_234738,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xn )
| ( sdtpldt0(sz00,X0) = xn )
| ( sdtpldt0(sdtasdt0(xn,X1),sK0(sdtasdt0(xn,X1),sdtasdt0(sdtpldt0(sz00,X0),X1))) = sdtasdt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234487,c_51]) ).
tcf(c_234747,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xm )
| ( sdtpldt0(sz00,X0) = xm )
| ( sdtpldt0(sdtasdt0(xm,X1),sK0(sdtasdt0(xm,X1),sdtasdt0(sdtpldt0(sz00,X0),X1))) = sdtasdt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234486,c_50]) ).
tcf(c_234756,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = xl )
| ( sdtpldt0(sz00,X0) = xl )
| ( sdtpldt0(sdtasdt0(xl,X1),sK0(sdtasdt0(xl,X1),sdtasdt0(sdtpldt0(sz00,X0),X1))) = sdtasdt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_234485,c_49]) ).
tcf(c_235031,plain,
( aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_227111,c_76]) ).
tcf(c_235034,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_227111,c_67]) ).
tcf(c_235035,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_227111,c_66]) ).
tcf(c_235036,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_227111,c_68]) ).
tcf(c_235037,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_227111,c_62]) ).
tcf(c_235038,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_227111,c_60]) ).
tcf(c_235039,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_227111,c_77]) ).
tcf(c_235040,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_227111,c_69]) ).
tcf(c_235041,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_227111,c_60]) ).
tcf(c_235042,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_227111,c_62]) ).
tcf(c_235043,plain,
( sdtlseqdt0(xl,sdtpldt0(xl,xn))
| ( xn = sz00 )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_227111,c_229378]) ).
tcf(c_235044,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xl,xn) != xl ) ),
inference(superposition,[status(thm)],[c_227111,c_220817]) ).
tcf(c_235045,plain,
( sdtlseqdt0(xn,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_227111,c_225602]) ).
tcf(c_235046,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xn) != xn ) ),
inference(superposition,[status(thm)],[c_227111,c_220646]) ).
tcf(c_235047,plain,
sdtlseqdt0(xn,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_235045,c_49]) ).
tcf(c_235048,plain,
aNaturalNumber0(sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_235031,c_51,c_49]) ).
tcf(c_235049,plain,
( sdtlseqdt0(xl,sdtpldt0(xl,xn))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235043,c_51]) ).
tcf(c_235052,plain,
sdtpldt0(xl,xn) != xn,
inference(forward_subsumption_resolution,[status(thm)],[c_235046,c_54,c_49]) ).
tcf(c_235053,plain,
( ( xn = sz00 )
| ( sdtpldt0(xl,xn) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235044,c_51]) ).
tcf(c_235059,plain,
sdtpldt0(xl,xn) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235034,c_54,c_51,c_49]) ).
tcf(c_235060,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235040,c_51,c_49]) ).
tcf(c_235064,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235039,c_51,c_49]) ).
tcf(c_235069,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235036,c_51,c_49]) ).
tcf(c_235073,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235042,c_51,c_49]) ).
tcf(c_235078,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xl,xn))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235041,c_51,c_49]) ).
tcf(c_235083,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xn,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235038,c_51,c_49]) ).
tcf(c_235088,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,xl))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235037,c_51,c_49]) ).
tcf(c_235124,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(xl,xn),sK0(sdtpldt0(xl,xn),sdtasdt0(sdtpldt0(xl,xn),X0))) = sdtasdt0(sdtpldt0(xl,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_233162]) ).
tcf(c_235125,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_221047]) ).
tcf(c_235126,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xn),X0),sz00) = sdtpldt0(sdtpldt0(xl,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220778]) ).
tcf(c_235127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(sdtpldt0(xl,xn),X0))) = sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(sdtpldt0(xl,xn),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220777]) ).
tcf(c_235128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sdtpldt0(sdtpldt0(xl,xn),X0),X1)) = sdtasdt0(sdtpldt0(X2,sdtpldt0(sdtpldt0(xl,xn),X0)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220776]) ).
tcf(c_235129,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,xn),X0)) = sdtpldt0(sdtpldt0(xl,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220775]) ).
tcf(c_235130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(sdtpldt0(xl,xn),X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtpldt0(sdtpldt0(xl,xn),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220774]) ).
tcf(c_235131,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xn),X0),X1) = sdtpldt0(X1,sdtpldt0(sdtpldt0(xl,xn),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220773]) ).
tcf(c_235132,plain,
sdtpldt0(sdtpldt0(xl,xn),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_235048,c_220749]) ).
tcf(c_235133,plain,
sdtpldt0(sdtpldt0(xl,xn),xn) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_235048,c_220747]) ).
tcf(c_235134,plain,
sdtpldt0(sdtpldt0(xl,xn),xm) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_235048,c_220746]) ).
tcf(c_235135,plain,
sdtpldt0(sdtpldt0(xl,xn),xl) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_235048,c_220745]) ).
tcf(c_235136,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xn),X0),sz00) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220720]) ).
tcf(c_235137,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xn),X0),xn) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220718]) ).
tcf(c_235138,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xn),X0),xm) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220717]) ).
tcf(c_235139,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xn),X0),xl) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220716]) ).
tcf(c_235140,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xn)),sdtasdt0(sz00,sdtpldt0(xl,xn))) = sdtasdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220600]) ).
tcf(c_235141,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xn)),sdtasdt0(xn,sdtpldt0(xl,xn))) = sdtasdt0(sdtpldt0(X0,xn),sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220598]) ).
tcf(c_235142,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xn)),sdtasdt0(xm,sdtpldt0(xl,xn))) = sdtasdt0(sdtpldt0(X0,xm),sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220597]) ).
tcf(c_235143,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xn)),sdtasdt0(xl,sdtpldt0(xl,xn))) = sdtasdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220596]) ).
tcf(c_235144,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xn),X0),sdtasdt0(sdtpldt0(xl,xn),sz00)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220569]) ).
tcf(c_235145,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xn),X0),sdtasdt0(sdtpldt0(xl,xn),xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220567]) ).
tcf(c_235146,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xn),X0),sdtasdt0(sdtpldt0(xl,xn),xm)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220566]) ).
tcf(c_235147,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xn),X0),sdtasdt0(sdtpldt0(xl,xn),xl)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_220565]) ).
tcf(c_235148,plain,
sdtpldt0(sdtpldt0(xl,xn),sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_235048,c_220435]) ).
tcf(c_235149,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_143]) ).
tcf(c_235150,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xn),X0) = sdtasdt0(X0,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_102]) ).
tcf(c_235151,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,xn)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_101]) ).
tcf(c_235152,plain,
sdtasdt0(sz00,sdtpldt0(xl,xn)) = sz00,
inference(superposition,[status(thm)],[c_235048,c_91]) ).
tcf(c_235153,plain,
sdtasdt0(sdtpldt0(xl,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_235048,c_90]) ).
tcf(c_235154,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xn),X0) = sdtpldt0(X0,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_75]) ).
tcf(c_235155,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,xn)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_74]) ).
tcf(c_235156,plain,
sdtpldt0(sz00,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_235048,c_73]) ).
tcf(c_235157,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,xn),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,xn)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_71]) ).
tcf(c_235158,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,xn))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_70]) ).
tcf(c_235159,plain,
sdtpldt0(sdtpldt0(xl,xn),sz00) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_235048,c_72]) ).
tcf(c_235369,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_98]) ).
tcf(c_235370,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = xn )
| ( sdtpldt0(sdtasdt0(xn,X0),sK0(sdtasdt0(xn,X0),sdtasdt0(sdtpldt0(xl,xn),X0))) = sdtasdt0(sdtpldt0(xl,xn),X0) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_234443]) ).
tcf(c_235371,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = xn )
| ( sdtpldt0(sdtasdt0(X0,xn),sK0(sdtasdt0(X0,xn),sdtasdt0(X0,sdtpldt0(xl,xn)))) = sdtasdt0(X0,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_233482]) ).
tcf(c_235372,plain,
( ( sdtasdt0(sK0(xn,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_221048]) ).
tcf(c_235373,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xn,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sK0(xn,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_220748]) ).
tcf(c_235374,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xn,sdtpldt0(xl,xn))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xn,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_220719]) ).
tcf(c_235375,plain,
( ( sdtpldt0(sz00,sK0(xn,sdtpldt0(xl,xn))) = sK0(xn,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_220626]) ).
tcf(c_235376,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xn,sdtpldt0(xl,xn)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xn,sdtpldt0(xl,xn))),X0) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_220599]) ).
tcf(c_235377,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xn,sdtpldt0(xl,xn)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xn,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_220568]) ).
tcf(c_235378,plain,
( ( sdtpldt0(sK0(xn,sdtpldt0(xl,xn)),sz00) = sK0(xn,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_220445]) ).
tcf(c_235379,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = xn )
| ( sdtpldt0(sdtpldt0(xn,X0),sK0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xl,xn),X0))) = sdtpldt0(sdtpldt0(xl,xn),X0) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_222410]) ).
tcf(c_235380,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = xn )
| ( sdtpldt0(sdtpldt0(X0,xn),sK0(sdtpldt0(X0,xn),sdtpldt0(X0,sdtpldt0(xl,xn)))) = sdtpldt0(X0,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_222310]) ).
tcf(c_235381,plain,
( ( sdtpldt0(xl,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),xn) ),
inference(superposition,[status(thm)],[c_235047,c_99]) ).
tcf(c_235382,plain,
( ( sdtpldt0(xn,sK0(xn,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_65]) ).
tcf(c_235383,plain,
sdtasdt0(sK0(xn,sdtpldt0(xl,xn)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235372,c_51,c_235048]) ).
tcf(c_235384,plain,
sdtpldt0(xn,sK0(xn,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_235382,c_51,c_235048]) ).
tcf(c_235385,plain,
( ( sdtpldt0(xl,xn) = xn )
| ~ sdtlseqdt0(sdtpldt0(xl,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235381,c_51,c_235048]) ).
tcf(c_235388,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235369,c_51,c_235048]) ).
tcf(c_235392,plain,
sdtpldt0(sK0(xn,sdtpldt0(xl,xn)),sz00) = sK0(xn,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_235378,c_51,c_235048]) ).
tcf(c_235393,plain,
sdtpldt0(sz00,sK0(xn,sdtpldt0(xl,xn))) = sK0(xn,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_235375,c_51,c_235048]) ).
tcf(c_235394,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xn,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sK0(xn,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235373,c_51,c_235048]) ).
tcf(c_235397,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xn,sdtpldt0(xl,xn))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xn,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235374,c_51,c_235048]) ).
tcf(c_235401,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xn,sdtpldt0(xl,xn)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xn,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235377,c_51,c_235048]) ).
tcf(c_235405,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xn,sdtpldt0(xl,xn)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xn,sdtpldt0(xl,xn))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235376,c_51,c_235048]) ).
tcf(c_235409,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = xn )
| ( sdtpldt0(sdtpldt0(X0,xn),sK0(sdtpldt0(X0,xn),sdtpldt0(X0,sdtpldt0(xl,xn)))) = sdtpldt0(X0,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235380,c_51,c_235048]) ).
tcf(c_235413,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = xn )
| ( sdtpldt0(sdtpldt0(xn,X0),sK0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xl,xn),X0))) = sdtpldt0(sdtpldt0(xl,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235379,c_51,c_235048]) ).
tcf(c_235417,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = xn )
| ( sdtpldt0(sdtasdt0(X0,xn),sK0(sdtasdt0(X0,xn),sdtasdt0(X0,sdtpldt0(xl,xn)))) = sdtasdt0(X0,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235371,c_51,c_235048]) ).
tcf(c_235422,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = xn )
| ( sdtpldt0(sdtasdt0(xn,X0),sK0(sdtasdt0(xn,X0),sdtasdt0(sdtpldt0(xl,xn),X0))) = sdtasdt0(sdtpldt0(xl,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235370,c_51,c_235048]) ).
tcf(c_235480,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_221243,c_7494,c_223418]) ).
tcf(c_235492,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_98]) ).
tcf(c_235493,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xn,X0) = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X1),sK0(sdtasdt0(sz00,X1),sdtasdt0(sdtasdt0(xn,X0),X1))) = sdtasdt0(sdtasdt0(xn,X0),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_234443]) ).
tcf(c_235494,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xn,X0) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sz00),sK0(sdtasdt0(X1,sz00),sdtasdt0(X1,sdtasdt0(xn,X0)))) = sdtasdt0(X1,sdtasdt0(xn,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_233482]) ).
tcf(c_235495,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(xn,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_221048]) ).
tcf(c_235496,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(xn,X0)),X1) = sdtpldt0(X1,sK0(sz00,sdtasdt0(xn,X0))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_220748]) ).
tcf(c_235497,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sz00,sdtasdt0(xn,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(xn,X0)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_220719]) ).
tcf(c_235498,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,X0))) = sK0(sz00,sdtasdt0(xn,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_220626]) ).
tcf(c_235499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sz00,sdtasdt0(xn,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sz00,sdtasdt0(xn,X0))),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_220599]) ).
tcf(c_235500,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sz00,sdtasdt0(xn,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(xn,X0)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_220568]) ).
tcf(c_235501,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(xn,X0)),sz00) = sK0(sz00,sdtasdt0(xn,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_220445]) ).
tcf(c_235502,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xn,X0) = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X1),sK0(sdtpldt0(sz00,X1),sdtpldt0(sdtasdt0(xn,X0),X1))) = sdtpldt0(sdtasdt0(xn,X0),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_222410]) ).
tcf(c_235503,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xn,X0) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sz00),sK0(sdtpldt0(X1,sz00),sdtpldt0(X1,sdtasdt0(xn,X0)))) = sdtpldt0(X1,sdtasdt0(xn,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_222310]) ).
tcf(c_235504,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xn,X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0))
| ~ sdtlseqdt0(sdtasdt0(xn,X0),sz00) ),
inference(superposition,[status(thm)],[c_235480,c_99]) ).
tcf(c_235505,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,X0))) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_65]) ).
tcf(c_235506,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(xn,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235495,c_92]) ).
tcf(c_235512,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,X0))) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235505,c_92]) ).
tcf(c_235518,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xn,X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0))
| ~ sdtlseqdt0(sdtasdt0(xn,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235504,c_92]) ).
tcf(c_235525,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235492,c_92]) ).
tcf(c_235533,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(xn,X0)),sz00) = sK0(sz00,sdtasdt0(xn,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235501,c_92]) ).
tcf(c_235539,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,X0))) = sK0(sz00,sdtasdt0(xn,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235498,c_92]) ).
tcf(c_235545,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(xn,X0)),X1) = sdtpldt0(X1,sK0(sz00,sdtasdt0(xn,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235496,c_92]) ).
tcf(c_235552,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sz00,sdtasdt0(xn,X0))) = sdtpldt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(xn,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235497,c_92]) ).
tcf(c_235560,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sz00,sdtasdt0(xn,X0)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(xn,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235500,c_92]) ).
tcf(c_235568,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sz00,sdtasdt0(xn,X0)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sz00,sdtasdt0(xn,X0))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235499,c_92]) ).
tcf(c_235576,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xn,X0) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sz00),sK0(sdtpldt0(X1,sz00),sdtpldt0(X1,sdtasdt0(xn,X0)))) = sdtpldt0(X1,sdtasdt0(xn,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235503,c_92]) ).
tcf(c_235584,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xn,X0) = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X1),sK0(sdtpldt0(sz00,X1),sdtpldt0(sdtasdt0(xn,X0),X1))) = sdtpldt0(sdtasdt0(xn,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235502,c_92]) ).
tcf(c_235592,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xn,X0) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sz00),sK0(sdtasdt0(X1,sz00),sdtasdt0(X1,sdtasdt0(xn,X0)))) = sdtasdt0(X1,sdtasdt0(xn,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235494,c_92]) ).
tcf(c_235601,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(xn,X0) = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X1),sK0(sdtasdt0(sz00,X1),sdtasdt0(sdtasdt0(xn,X0),X1))) = sdtasdt0(sdtasdt0(xn,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235493,c_92]) ).
tcf(c_235667,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xl,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_221295]) ).
tcf(c_235668,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xm,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_221295]) ).
tcf(c_235669,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xn,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_221295]) ).
tcf(c_235670,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(X0,X1),X2)) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_221295]) ).
tcf(c_235671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sK0(X0,X1),X2)) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_221295]) ).
tcf(c_235672,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(X0,X1),X2)) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_221295]) ).
tcf(c_235673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sK1(X0,X1),X2)) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_221295]) ).
tcf(c_235674,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_221295]) ).
tcf(c_235675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sdtsldt0(X1,X0),X2)) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_221295]) ).
tcf(c_235676,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xq,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_221295]) ).
tcf(c_235677,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xp,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_221295]) ).
tcf(c_235678,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_221295]) ).
tcf(c_235679,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_221295]) ).
tcf(c_235760,plain,
( ( sdtasdt0(sz00,sK0(xm,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_57,c_221296]) ).
tcf(c_235761,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtasdt0(sz00,sK0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_221296]) ).
tcf(c_235762,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtasdt0(sz00,sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_221296]) ).
tcf(c_235763,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtasdt0(sz00,sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_221296]) ).
tcf(c_235764,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK0(X0,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_221296]) ).
tcf(c_235765,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sz00,sK0(X0,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_221296]) ).
tcf(c_235766,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_221296]) ).
tcf(c_235767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtasdt0(sz00,sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_221296]) ).
tcf(c_235768,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sK0(X0,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_221296]) ).
tcf(c_235769,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtasdt0(sz00,sK0(X1,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_221296]) ).
tcf(c_235770,plain,
( ( sdtasdt0(sz00,sK0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_221440,c_221296]) ).
tcf(c_235771,plain,
( ( sdtasdt0(sz00,sK0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222115,c_221296]) ).
tcf(c_235772,plain,
( ( sdtasdt0(sz00,sK0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222114,c_221296]) ).
tcf(c_235773,plain,
( ( sdtasdt0(sz00,sK0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222113,c_221296]) ).
tcf(c_235774,plain,
( ( sdtasdt0(sz00,sK0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222112,c_221296]) ).
tcf(c_235775,plain,
( ( sdtasdt0(sz00,sK0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222111,c_221296]) ).
tcf(c_235776,plain,
( ( sdtasdt0(sz00,sK0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222110,c_221296]) ).
tcf(c_235777,plain,
( ( sdtasdt0(sz00,sK0(xq,xp)) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_225405,c_221296]) ).
tcf(c_235778,plain,
( ( sdtasdt0(sz00,sK0(sz00,xq)) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_226977,c_221296]) ).
tcf(c_235779,plain,
( ( sdtasdt0(sz00,sK0(xl,sdtpldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_221296]) ).
tcf(c_235780,plain,
( ( sdtasdt0(sz00,sK0(xn,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_221296]) ).
tcf(c_235781,plain,
( ( sdtasdt0(sz00,sK0(sz00,xp)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_223873,c_221296]) ).
tcf(c_235782,plain,
( ( sdtasdt0(sz00,sK0(xp,xp)) = sz00 )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_224410,c_221296]) ).
tcf(c_235783,plain,
( ( sdtasdt0(sz00,sK0(xq,xq)) = sz00 )
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_227416,c_221296]) ).
tcf(c_235784,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sK0(xl,sdtpldt0(xl,X0))) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_221296]) ).
tcf(c_235785,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sK0(sz00,sdtpldt0(sz00,X0))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_221296]) ).
tcf(c_235786,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(xm,sdtpldt0(xm,X0))) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_221296]) ).
tcf(c_235787,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sK0(xn,sdtpldt0(xn,X0))) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_221296]) ).
tcf(c_235788,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(sz00,sK0(xl,sdtpldt0(sz00,X0))) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_221296]) ).
tcf(c_235789,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(sz00,sK0(xm,sdtpldt0(sz00,X0))) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_221296]) ).
tcf(c_235790,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(sz00,sK0(xn,sdtpldt0(sz00,X0))) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_221296]) ).
tcf(c_235791,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(sz00,sK0(sdtpldt0(sz00,X0),xl)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_221296]) ).
tcf(c_235792,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(sz00,sK0(sdtpldt0(sz00,X0),xm)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_221296]) ).
tcf(c_235793,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(sz00,sK0(sdtpldt0(sz00,X0),xn)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_221296]) ).
tcf(c_235794,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(sz00,sdtpldt0(X0,sz00))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_221296]) ).
tcf(c_235795,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(sz00,sK0(xl,sdtpldt0(X0,sz00))) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_221296]) ).
tcf(c_235796,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(sz00,sK0(xm,sdtpldt0(X0,sz00))) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_221296]) ).
tcf(c_235797,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(sz00,sK0(xn,sdtpldt0(X0,sz00))) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_221296]) ).
tcf(c_235798,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(xl,sdtpldt0(X0,xl))) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_221296]) ).
tcf(c_235799,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(xm,sdtpldt0(X0,xm))) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_221296]) ).
tcf(c_235800,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(xn,sdtpldt0(X0,xn))) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_221296]) ).
tcf(c_235801,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(sz00,sK0(sdtpldt0(X0,sz00),xl)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_221296]) ).
tcf(c_235802,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(sz00,sK0(sdtpldt0(X0,sz00),xm)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_221296]) ).
tcf(c_235803,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(sz00,sK0(sdtpldt0(X0,sz00),xn)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_221296]) ).
tcf(c_235804,plain,
( ( sdtasdt0(sz00,sK0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_225018,c_221296]) ).
tcf(c_235805,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(sz00,sdtasdt0(xl,X0))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_221296]) ).
tcf(c_235806,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(sz00,sdtasdt0(xm,X0))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_221296]) ).
tcf(c_235807,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(sz00,sdtasdt0(xn,X0))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_221296]) ).
tcf(c_235808,plain,
( ( sdtasdt0(sz00,sK0(xm,sdtpldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_221296]) ).
tcf(c_235809,plain,
sdtasdt0(sz00,sK0(xq,xq)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235783,c_225856]) ).
tcf(c_235810,plain,
sdtasdt0(sz00,sK0(xp,xp)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235782,c_221332]) ).
tcf(c_235811,plain,
sdtasdt0(sz00,sK0(xn,xn)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235773,c_51]) ).
tcf(c_235812,plain,
sdtasdt0(sz00,sK0(xm,xm)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235772,c_50]) ).
tcf(c_235813,plain,
sdtasdt0(sz00,sK0(xl,xl)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235771,c_49]) ).
tcf(c_235817,plain,
sdtasdt0(sz00,sK0(xl,xm)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235804,c_50,c_49]) ).
tcf(c_235819,plain,
sdtasdt0(sz00,sK0(sz00,xq)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235778,c_225856,c_92]) ).
tcf(c_235820,plain,
sdtasdt0(sz00,sK0(xq,xp)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235777,c_225856,c_221332]) ).
tcf(c_235832,plain,
sdtasdt0(sz00,sK0(xm,sdtpldt0(xm,xl))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235808,c_50,c_232638]) ).
tcf(c_235833,plain,
sdtasdt0(sz00,sK0(xn,sdtpldt0(xl,xn))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235780,c_51,c_235048]) ).
tcf(c_235834,plain,
sdtasdt0(sz00,sK0(xl,sdtpldt0(xm,xl))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_235779,c_49,c_232638]) ).
tcf(c_235835,plain,
( ( sdtasdt0(sz00,sK0(xm,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235760,c_50]) ).
tcf(c_235838,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sK0(xn,sdtpldt0(xn,X0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235787,c_51]) ).
tcf(c_235842,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sK0(sz00,sdtpldt0(sz00,X0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235785,c_92]) ).
tcf(c_235846,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sK0(xl,sdtpldt0(xl,X0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235784,c_49]) ).
tcf(c_235854,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(sz00,sdtasdt0(xm,X0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235806,c_92]) ).
tcf(c_235859,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(sz00,sdtasdt0(xl,X0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235805,c_92]) ).
tcf(c_235864,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(xn,sdtpldt0(X0,xn))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235800,c_51]) ).
tcf(c_235869,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(xm,sdtpldt0(X0,xm))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235799,c_50]) ).
tcf(c_235874,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(xl,sdtpldt0(X0,xl))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235798,c_49]) ).
tcf(c_235879,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(sz00,sdtpldt0(X0,sz00))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235794,c_92]) ).
tcf(c_235884,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(xm,sdtpldt0(xm,X0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235786,c_50]) ).
tcf(c_235894,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(sz00,sdtasdt0(xn,X0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235807,c_92]) ).
tcf(c_235900,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(sz00,sK0(sdtpldt0(X0,sz00),xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235803,c_51]) ).
tcf(c_235906,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(sz00,sK0(sdtpldt0(X0,sz00),xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235802,c_50]) ).
tcf(c_235912,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(sz00,sK0(sdtpldt0(X0,sz00),xl)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235801,c_49]) ).
tcf(c_235918,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(sz00,sK0(xn,sdtpldt0(X0,sz00))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235797,c_51]) ).
tcf(c_235924,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(sz00,sK0(xm,sdtpldt0(X0,sz00))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235796,c_50]) ).
tcf(c_235930,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(sz00,sK0(xl,sdtpldt0(X0,sz00))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235795,c_49]) ).
tcf(c_235936,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(sz00,sK0(sdtpldt0(sz00,X0),xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235793,c_51]) ).
tcf(c_235942,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(sz00,sK0(sdtpldt0(sz00,X0),xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235792,c_50]) ).
tcf(c_235948,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(sz00,sK0(sdtpldt0(sz00,X0),xl)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235791,c_49]) ).
tcf(c_235954,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(sz00,sK0(xn,sdtpldt0(sz00,X0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235790,c_51]) ).
tcf(c_235960,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(sz00,sK0(xm,sdtpldt0(sz00,X0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235789,c_50]) ).
tcf(c_235966,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(sz00,sK0(xl,sdtpldt0(sz00,X0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235788,c_49]) ).
tcf(c_236220,plain,
( ( sdtasdt0(sz00,sK1(xl,xm)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_52,c_221297]) ).
tcf(c_236221,plain,
( ( sdtasdt0(sz00,sK1(xl,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_221297]) ).
tcf(c_236222,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sz00,sK1(X2,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_221297]) ).
tcf(c_236223,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK1(X0,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_221297]) ).
tcf(c_236225,plain,
( ( sdtasdt0(sz00,sK1(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222050,c_221297]) ).
tcf(c_236226,plain,
( ( sdtasdt0(sz00,sK1(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222049,c_221297]) ).
tcf(c_236227,plain,
( ( sdtasdt0(sz00,sK1(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222048,c_221297]) ).
tcf(c_236228,plain,
( ( sdtasdt0(sz00,sK1(xp,sz00)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_223548,c_221297]) ).
tcf(c_236229,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sK1(X0,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_221297]) ).
tcf(c_236230,plain,
( ( sdtasdt0(sz00,sK1(xq,sz00)) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_226431,c_221297]) ).
tcf(c_236231,plain,
sdtasdt0(sz00,sK1(xq,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236230,c_225856,c_92]) ).
tcf(c_236232,plain,
sdtasdt0(sz00,sK1(xp,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236228,c_221332,c_92]) ).
tcf(c_236233,plain,
sdtasdt0(sz00,sK1(xn,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236227,c_92,c_51]) ).
tcf(c_236234,plain,
sdtasdt0(sz00,sK1(xm,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236226,c_92,c_50]) ).
tcf(c_236235,plain,
sdtasdt0(sz00,sK1(xl,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236225,c_92,c_49]) ).
tcf(c_236236,plain,
sdtasdt0(sz00,sK1(xl,xm)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236220,c_50,c_49]) ).
tcf(c_236237,plain,
( ( sdtasdt0(sz00,sK1(xl,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236221,c_49]) ).
tcf(c_236268,plain,
( ( xl = sz00 )
| ( sdtasdt0(sz00,sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_52,c_221324]) ).
tcf(c_236269,plain,
( ( xl = sz00 )
| ( sdtasdt0(sz00,sdtsldt0(sdtpldt0(xm,xn),xl)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_221324]) ).
tcf(c_236270,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtasdt0(sz00,sdtsldt0(sdtpldt0(X0,X1),X2)) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_221324]) ).
tcf(c_236271,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtsldt0(sdtasdt0(X0,X1),X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_221324]) ).
tcf(c_236273,plain,
( ( xl = sz00 )
| ( sdtasdt0(sz00,sdtsldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222050,c_221324]) ).
tcf(c_236274,plain,
( ( xm = sz00 )
| ( sdtasdt0(sz00,sdtsldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222049,c_221324]) ).
tcf(c_236275,plain,
( ( xn = sz00 )
| ( sdtasdt0(sz00,sdtsldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222048,c_221324]) ).
tcf(c_236276,plain,
( ( sz00 = xp )
| ( sdtasdt0(sz00,sdtsldt0(sz00,xp)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_223548,c_221324]) ).
tcf(c_236277,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtsldt0(sdtpldt0(xm,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_221324]) ).
tcf(c_236278,plain,
( ( sz00 = xq )
| ( sdtasdt0(sz00,sdtsldt0(sz00,xq)) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_226431,c_221324]) ).
tcf(c_236279,plain,
( ( sz00 = xq )
| ( sdtasdt0(sz00,sdtsldt0(sz00,xq)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236278,c_225856,c_92]) ).
tcf(c_236282,plain,
sdtasdt0(sz00,sdtsldt0(sz00,xp)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236276,c_124385,c_221332,c_92]) ).
tcf(c_236283,plain,
( ( xn = sz00 )
| ( sdtasdt0(sz00,sdtsldt0(sz00,xn)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236275,c_92,c_51]) ).
tcf(c_236286,plain,
sdtasdt0(sz00,sdtsldt0(sz00,xm)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236274,c_104694,c_92,c_50]) ).
tcf(c_236287,plain,
sdtasdt0(sz00,sdtsldt0(sz00,xl)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236273,c_54,c_92,c_49]) ).
tcf(c_236325,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_227118,c_136]) ).
tcf(c_236326,plain,
( aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_227118,c_76]) ).
tcf(c_236329,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_227118,c_67]) ).
tcf(c_236330,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_227118,c_66]) ).
tcf(c_236331,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_227118,c_68]) ).
tcf(c_236332,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_227118,c_62]) ).
tcf(c_236333,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_227118,c_60]) ).
tcf(c_236334,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_227118,c_77]) ).
tcf(c_236335,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_227118,c_69]) ).
tcf(c_236336,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_227118,c_60]) ).
tcf(c_236337,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_227118,c_62]) ).
tcf(c_236338,plain,
( sdtlseqdt0(xl,sdtpldt0(xl,xq))
| ( sz00 = xq )
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_227118,c_229378]) ).
tcf(c_236339,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ( sdtpldt0(xl,xq) != xl ) ),
inference(superposition,[status(thm)],[c_227118,c_220817]) ).
tcf(c_236340,plain,
aNaturalNumber0(sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_236326,c_225856,c_49]) ).
tcf(c_236341,plain,
sdtlseqdt0(xq,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_236325,c_225856,c_49]) ).
tcf(c_236342,plain,
( sdtlseqdt0(xl,sdtpldt0(xl,xq))
| ( sz00 = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236338,c_225856]) ).
tcf(c_236345,plain,
( ( sz00 = xq )
| ( sdtpldt0(xl,xq) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236339,c_225856]) ).
tcf(c_236351,plain,
sdtpldt0(xl,xq) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236329,c_54,c_225856,c_49]) ).
tcf(c_236352,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236335,c_225856,c_49]) ).
tcf(c_236356,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236334,c_225856,c_49]) ).
tcf(c_236361,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236331,c_225856,c_49]) ).
tcf(c_236365,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236337,c_225856,c_49]) ).
tcf(c_236370,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xl,xq))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236336,c_225856,c_49]) ).
tcf(c_236375,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xq,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236333,c_225856,c_49]) ).
tcf(c_236380,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,xl))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236332,c_225856,c_49]) ).
tcf(c_236436,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,xq),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_221295]) ).
tcf(c_236437,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(xl,xq),sK0(sdtpldt0(xl,xq),sdtasdt0(sdtpldt0(xl,xq),X0))) = sdtasdt0(sdtpldt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_233162]) ).
tcf(c_236438,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_221047]) ).
tcf(c_236439,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xq),X0),sz00) = sdtpldt0(sdtpldt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220778]) ).
tcf(c_236440,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(sdtpldt0(xl,xq),X0))) = sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(sdtpldt0(xl,xq),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220777]) ).
tcf(c_236441,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sdtpldt0(sdtpldt0(xl,xq),X0),X1)) = sdtasdt0(sdtpldt0(X2,sdtpldt0(sdtpldt0(xl,xq),X0)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220776]) ).
tcf(c_236442,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,xq),X0)) = sdtpldt0(sdtpldt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220775]) ).
tcf(c_236443,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(sdtpldt0(xl,xq),X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtpldt0(sdtpldt0(xl,xq),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220774]) ).
tcf(c_236444,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xq),X0),X1) = sdtpldt0(X1,sdtpldt0(sdtpldt0(xl,xq),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220773]) ).
tcf(c_236445,plain,
sdtpldt0(sdtpldt0(xl,xq),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_236340,c_220749]) ).
tcf(c_236446,plain,
sdtpldt0(sdtpldt0(xl,xq),xn) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_236340,c_220747]) ).
tcf(c_236447,plain,
sdtpldt0(sdtpldt0(xl,xq),xm) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_236340,c_220746]) ).
tcf(c_236448,plain,
sdtpldt0(sdtpldt0(xl,xq),xl) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_236340,c_220745]) ).
tcf(c_236449,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xq),X0),sz00) = sdtpldt0(sdtpldt0(xl,xq),sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220720]) ).
tcf(c_236450,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xq),X0),xn) = sdtpldt0(sdtpldt0(xl,xq),sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220718]) ).
tcf(c_236451,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xq),X0),xm) = sdtpldt0(sdtpldt0(xl,xq),sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220717]) ).
tcf(c_236452,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xq),X0),xl) = sdtpldt0(sdtpldt0(xl,xq),sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220716]) ).
tcf(c_236453,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xq)),sdtasdt0(sz00,sdtpldt0(xl,xq))) = sdtasdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220600]) ).
tcf(c_236454,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xq)),sdtasdt0(xn,sdtpldt0(xl,xq))) = sdtasdt0(sdtpldt0(X0,xn),sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220598]) ).
tcf(c_236455,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xq)),sdtasdt0(xm,sdtpldt0(xl,xq))) = sdtasdt0(sdtpldt0(X0,xm),sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220597]) ).
tcf(c_236456,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xq)),sdtasdt0(xl,sdtpldt0(xl,xq))) = sdtasdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220596]) ).
tcf(c_236457,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xq),X0),sdtasdt0(sdtpldt0(xl,xq),sz00)) = sdtasdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220569]) ).
tcf(c_236458,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xq),X0),sdtasdt0(sdtpldt0(xl,xq),xn)) = sdtasdt0(sdtpldt0(xl,xq),sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220567]) ).
tcf(c_236459,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xq),X0),sdtasdt0(sdtpldt0(xl,xq),xm)) = sdtasdt0(sdtpldt0(xl,xq),sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220566]) ).
tcf(c_236460,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xq),X0),sdtasdt0(sdtpldt0(xl,xq),xl)) = sdtasdt0(sdtpldt0(xl,xq),sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_220565]) ).
tcf(c_236461,plain,
sdtpldt0(sdtpldt0(xl,xq),sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_236340,c_220435]) ).
tcf(c_236462,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_143]) ).
tcf(c_236463,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xq),X0) = sdtasdt0(X0,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_102]) ).
tcf(c_236464,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,xq)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_101]) ).
tcf(c_236465,plain,
sdtasdt0(sz00,sdtpldt0(xl,xq)) = sz00,
inference(superposition,[status(thm)],[c_236340,c_91]) ).
tcf(c_236466,plain,
sdtasdt0(sdtpldt0(xl,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_236340,c_90]) ).
tcf(c_236467,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xq),X0) = sdtpldt0(X0,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_75]) ).
tcf(c_236468,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,xq)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_74]) ).
tcf(c_236469,plain,
sdtpldt0(sz00,sdtpldt0(xl,xq)) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_236340,c_73]) ).
tcf(c_236470,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,xq),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,xq)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_71]) ).
tcf(c_236471,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,xq))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_70]) ).
tcf(c_236472,plain,
sdtpldt0(sdtpldt0(xl,xq),sz00) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_236340,c_72]) ).
tcf(c_236687,plain,
( ( xl = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_52,c_221325]) ).
tcf(c_236688,plain,
( ( xl = sz00 )
| ( sdtasdt0(sdtsldt0(sdtpldt0(xm,xn),xl),sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_221325]) ).
tcf(c_236689,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtasdt0(sdtsldt0(sdtpldt0(X0,X1),X2),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_221325]) ).
tcf(c_236690,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(sdtasdt0(X0,X1),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_221325]) ).
tcf(c_236692,plain,
( ( xl = sz00 )
| ( sdtasdt0(sdtsldt0(sz00,xl),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222050,c_221325]) ).
tcf(c_236693,plain,
( ( xm = sz00 )
| ( sdtasdt0(sdtsldt0(sz00,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222049,c_221325]) ).
tcf(c_236694,plain,
( ( xn = sz00 )
| ( sdtasdt0(sdtsldt0(sz00,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222048,c_221325]) ).
tcf(c_236695,plain,
( ( sz00 = xp )
| ( sdtasdt0(sdtsldt0(sz00,xp),sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_223548,c_221325]) ).
tcf(c_236696,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(sdtpldt0(xm,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_221325]) ).
tcf(c_236697,plain,
( ( sz00 = xq )
| ( sdtasdt0(sdtsldt0(sz00,xq),sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_226431,c_221325]) ).
tcf(c_236698,plain,
( ( sz00 = xq )
| ( sdtasdt0(sdtsldt0(sz00,xq),sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236697,c_225856,c_92]) ).
tcf(c_236701,plain,
sdtasdt0(sdtsldt0(sz00,xp),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236695,c_124385,c_221332,c_92]) ).
tcf(c_236702,plain,
( ( xn = sz00 )
| ( sdtasdt0(sdtsldt0(sz00,xn),sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236694,c_92,c_51]) ).
tcf(c_236705,plain,
sdtasdt0(sdtsldt0(sz00,xm),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236693,c_104694,c_92,c_50]) ).
tcf(c_236706,plain,
sdtasdt0(sdtsldt0(sz00,xl),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236692,c_54,c_92,c_49]) ).
tcf(c_236739,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),X0) = sdtpldt0(X0,sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_221326]) ).
tcf(c_236740,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtsldt0(sdtpldt0(xm,xn),xl),X0) = sdtpldt0(X0,sdtsldt0(sdtpldt0(xm,xn),xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_221326]) ).
tcf(c_236741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = sz00 )
| ( sdtpldt0(sdtsldt0(sdtpldt0(X0,X1),X2),X3) = sdtpldt0(X3,sdtsldt0(sdtpldt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_221326]) ).
tcf(c_236742,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(sdtasdt0(X0,X1),X0),X2) = sdtpldt0(X2,sdtsldt0(sdtasdt0(X0,X1),X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_221326]) ).
tcf(c_236744,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtsldt0(sz00,xl),X0) = sdtpldt0(X0,sdtsldt0(sz00,xl)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222050,c_221326]) ).
tcf(c_236745,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtpldt0(sdtsldt0(sz00,xm),X0) = sdtpldt0(X0,sdtsldt0(sz00,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222049,c_221326]) ).
tcf(c_236746,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtpldt0(sdtsldt0(sz00,xn),X0) = sdtpldt0(X0,sdtsldt0(sz00,xn)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222048,c_221326]) ).
tcf(c_236747,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtpldt0(sdtsldt0(sz00,xp),X0) = sdtpldt0(X0,sdtsldt0(sz00,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223548,c_221326]) ).
tcf(c_236748,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(sdtpldt0(xm,xn),X0),X1) = sdtpldt0(X1,sdtsldt0(sdtpldt0(xm,xn),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_221326]) ).
tcf(c_236749,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sdtpldt0(sdtsldt0(sz00,xq),X0) = sdtpldt0(X0,sdtsldt0(sz00,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226431,c_221326]) ).
tcf(c_236750,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sdtpldt0(sdtsldt0(sz00,xq),X0) = sdtpldt0(X0,sdtsldt0(sz00,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236749,c_225856,c_92]) ).
tcf(c_236754,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(sz00,xp),X0) = sdtpldt0(X0,sdtsldt0(sz00,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236747,c_124385,c_221332,c_92]) ).
tcf(c_236757,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtpldt0(sdtsldt0(sz00,xn),X0) = sdtpldt0(X0,sdtsldt0(sz00,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236746,c_92,c_51]) ).
tcf(c_236761,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(sz00,xm),X0) = sdtpldt0(X0,sdtsldt0(sz00,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236745,c_104694,c_92,c_50]) ).
tcf(c_236764,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(sz00,xl),X0) = sdtpldt0(X0,sdtsldt0(sz00,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236744,c_54,c_92,c_49]) ).
tcf(c_236767,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_236739,c_55]) ).
tcf(c_236769,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(X0,xq) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(light_normalisation,[status(thm)],[c_236740,c_56]) ).
tcf(c_236811,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xm,xl)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_221327]) ).
tcf(c_236812,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(sdtpldt0(xm,xn),xl)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(sdtpldt0(xm,xn),xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_221327]) ).
tcf(c_236813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = sz00 )
| ( sdtpldt0(sdtpldt0(X3,X4),sdtsldt0(sdtpldt0(X0,X1),X2)) = sdtpldt0(X3,sdtpldt0(X4,sdtsldt0(sdtpldt0(X0,X1),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_221327]) ).
tcf(c_236814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X2,X3),sdtsldt0(sdtasdt0(X0,X1),X0)) = sdtpldt0(X2,sdtpldt0(X3,sdtsldt0(sdtasdt0(X0,X1),X0))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_221327]) ).
tcf(c_236816,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(sz00,xl)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xl))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222050,c_221327]) ).
tcf(c_236817,plain,
! [X0: $i,X1: $i] :
( ( xm = sz00 )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(sz00,xm)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xm))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222049,c_221327]) ).
tcf(c_236818,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(sz00,xn)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xn))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222048,c_221327]) ).
tcf(c_236819,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xp )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(sz00,xp)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223548,c_221327]) ).
tcf(c_236820,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sdtsldt0(sdtpldt0(xm,xn),X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtsldt0(sdtpldt0(xm,xn),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_221327]) ).
tcf(c_236821,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xq )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(sz00,xq)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xq))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226431,c_221327]) ).
tcf(c_236822,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xq )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(sz00,xq)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236821,c_225856,c_92]) ).
tcf(c_236827,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(sz00,xp)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236819,c_124385,c_221332,c_92]) ).
tcf(c_236831,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(sz00,xn)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236818,c_92,c_51]) ).
tcf(c_236836,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(sz00,xm)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236817,c_104694,c_92,c_50]) ).
tcf(c_236840,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(sz00,xl)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236816,c_54,c_92,c_49]) ).
tcf(c_236844,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(X0,sdtpldt0(X1,xp)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_236811,c_55]) ).
tcf(c_236846,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtpldt0(X0,X1),xq) = sdtpldt0(X0,sdtpldt0(X1,xq)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(light_normalisation,[status(thm)],[c_236812,c_56]) ).
tcf(c_236915,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_98]) ).
tcf(c_236916,plain,
( ( sdtasdt0(sz00,sK0(xq,sdtpldt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_221296]) ).
tcf(c_236917,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = xq )
| ( sdtpldt0(sdtasdt0(xq,X0),sK0(sdtasdt0(xq,X0),sdtasdt0(sdtpldt0(xl,xq),X0))) = sdtasdt0(sdtpldt0(xl,xq),X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_234443]) ).
tcf(c_236918,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = xq )
| ( sdtpldt0(sdtasdt0(X0,xq),sK0(sdtasdt0(X0,xq),sdtasdt0(X0,sdtpldt0(xl,xq)))) = sdtasdt0(X0,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_233482]) ).
tcf(c_236919,plain,
( ( sdtasdt0(sK0(xq,sdtpldt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_221048]) ).
tcf(c_236920,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xq,sdtpldt0(xl,xq)),X0) = sdtpldt0(X0,sK0(xq,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_220748]) ).
tcf(c_236921,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xq,sdtpldt0(xl,xq))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xq,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_220719]) ).
tcf(c_236922,plain,
( ( sdtpldt0(sz00,sK0(xq,sdtpldt0(xl,xq))) = sK0(xq,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_220626]) ).
tcf(c_236923,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xq,sdtpldt0(xl,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xq,sdtpldt0(xl,xq))),X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_220599]) ).
tcf(c_236924,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xq,sdtpldt0(xl,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xq,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_220568]) ).
tcf(c_236925,plain,
( ( sdtpldt0(sK0(xq,sdtpldt0(xl,xq)),sz00) = sK0(xq,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_220445]) ).
tcf(c_236926,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = xq )
| ( sdtpldt0(sdtpldt0(xq,X0),sK0(sdtpldt0(xq,X0),sdtpldt0(sdtpldt0(xl,xq),X0))) = sdtpldt0(sdtpldt0(xl,xq),X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_222410]) ).
tcf(c_236927,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = xq )
| ( sdtpldt0(sdtpldt0(X0,xq),sK0(sdtpldt0(X0,xq),sdtpldt0(X0,sdtpldt0(xl,xq)))) = sdtpldt0(X0,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_222310]) ).
tcf(c_236928,plain,
( ( sdtpldt0(xl,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),xq) ),
inference(superposition,[status(thm)],[c_236341,c_99]) ).
tcf(c_236929,plain,
( ( sdtpldt0(xq,sK0(xq,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_65]) ).
tcf(c_236930,plain,
sdtasdt0(sK0(xq,sdtpldt0(xl,xq)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236919,c_225856,c_236340]) ).
tcf(c_236931,plain,
sdtasdt0(sz00,sK0(xq,sdtpldt0(xl,xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_236916,c_225856,c_236340]) ).
tcf(c_236932,plain,
sdtpldt0(xq,sK0(xq,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_236929,c_225856,c_236340]) ).
tcf(c_236933,plain,
( ( sdtpldt0(xl,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xl,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236928,c_225856,c_236340]) ).
tcf(c_236936,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236915,c_225856,c_236340]) ).
tcf(c_236940,plain,
sdtpldt0(sK0(xq,sdtpldt0(xl,xq)),sz00) = sK0(xq,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_236925,c_225856,c_236340]) ).
tcf(c_236941,plain,
sdtpldt0(sz00,sK0(xq,sdtpldt0(xl,xq))) = sK0(xq,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_236922,c_225856,c_236340]) ).
tcf(c_236942,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xq,sdtpldt0(xl,xq)),X0) = sdtpldt0(X0,sK0(xq,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236920,c_225856,c_236340]) ).
tcf(c_236945,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xq,sdtpldt0(xl,xq))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xq,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236921,c_225856,c_236340]) ).
tcf(c_236949,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xq,sdtpldt0(xl,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xq,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236924,c_225856,c_236340]) ).
tcf(c_236953,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xq,sdtpldt0(xl,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xq,sdtpldt0(xl,xq))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236923,c_225856,c_236340]) ).
tcf(c_236957,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = xq )
| ( sdtpldt0(sdtpldt0(X0,xq),sK0(sdtpldt0(X0,xq),sdtpldt0(X0,sdtpldt0(xl,xq)))) = sdtpldt0(X0,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236927,c_225856,c_236340]) ).
tcf(c_236961,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = xq )
| ( sdtpldt0(sdtpldt0(xq,X0),sK0(sdtpldt0(xq,X0),sdtpldt0(sdtpldt0(xl,xq),X0))) = sdtpldt0(sdtpldt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236926,c_225856,c_236340]) ).
tcf(c_236965,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = xq )
| ( sdtpldt0(sdtasdt0(X0,xq),sK0(sdtasdt0(X0,xq),sdtasdt0(X0,sdtpldt0(xl,xq)))) = sdtasdt0(X0,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236918,c_225856,c_236340]) ).
tcf(c_236970,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = xq )
| ( sdtpldt0(sdtasdt0(xq,X0),sK0(sdtasdt0(xq,X0),sdtasdt0(sdtpldt0(xl,xq),X0))) = sdtasdt0(sdtpldt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_236917,c_225856,c_236340]) ).
tcf(c_237009,plain,
( ( xl = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(xm,xl)) = sdtsldt0(xm,xl) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_52,c_221328]) ).
tcf(c_237010,plain,
( ( xl = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(sdtpldt0(xm,xn),xl)) = sdtsldt0(sdtpldt0(xm,xn),xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_221328]) ).
tcf(c_237011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(sdtpldt0(X0,X1),X2)) = sdtsldt0(sdtpldt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_221328]) ).
tcf(c_237012,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(sdtasdt0(X0,X1),X0)) = sdtsldt0(sdtasdt0(X0,X1),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_221328]) ).
tcf(c_237014,plain,
( ( xl = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(sz00,xl)) = sdtsldt0(sz00,xl) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222050,c_221328]) ).
tcf(c_237015,plain,
( ( xm = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(sz00,xm)) = sdtsldt0(sz00,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222049,c_221328]) ).
tcf(c_237016,plain,
( ( xn = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(sz00,xn)) = sdtsldt0(sz00,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222048,c_221328]) ).
tcf(c_237017,plain,
( ( sz00 = xp )
| ( sdtpldt0(sz00,sdtsldt0(sz00,xp)) = sdtsldt0(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_223548,c_221328]) ).
tcf(c_237018,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(sdtpldt0(xm,xn),X0)) = sdtsldt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_221328]) ).
tcf(c_237019,plain,
( ( sz00 = xq )
| ( sdtpldt0(sz00,sdtsldt0(sz00,xq)) = sdtsldt0(sz00,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_226431,c_221328]) ).
tcf(c_237020,plain,
( ( sz00 = xq )
| ( sdtpldt0(sz00,sdtsldt0(sz00,xq)) = sdtsldt0(sz00,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237019,c_225856,c_92]) ).
tcf(c_237023,plain,
sdtpldt0(sz00,sdtsldt0(sz00,xp)) = sdtsldt0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_237017,c_124385,c_221332,c_92]) ).
tcf(c_237024,plain,
( ( xn = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(sz00,xn)) = sdtsldt0(sz00,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237016,c_92,c_51]) ).
tcf(c_237027,plain,
sdtpldt0(sz00,sdtsldt0(sz00,xm)) = sdtsldt0(sz00,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_237015,c_104694,c_92,c_50]) ).
tcf(c_237028,plain,
sdtpldt0(sz00,sdtsldt0(sz00,xl)) = sdtsldt0(sz00,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_237014,c_54,c_92,c_49]) ).
tcf(c_237063,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtpldt0(X1,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_221329]) ).
tcf(c_237064,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtsldt0(sdtpldt0(xm,xn),xl),X0)) = sdtasdt0(sdtpldt0(X1,sdtsldt0(sdtpldt0(xm,xn),xl)),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_221329]) ).
tcf(c_237065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = sz00 )
| ( sdtpldt0(sdtasdt0(X4,X3),sdtasdt0(sdtsldt0(sdtpldt0(X0,X1),X2),X3)) = sdtasdt0(sdtpldt0(X4,sdtsldt0(sdtpldt0(X0,X1),X2)),X3) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_221329]) ).
tcf(c_237066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(sdtsldt0(sdtasdt0(X0,X1),X0),X2)) = sdtasdt0(sdtpldt0(X3,sdtsldt0(sdtasdt0(X0,X1),X0)),X2) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_221329]) ).
tcf(c_237068,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtsldt0(sz00,xl),X0)) = sdtasdt0(sdtpldt0(X1,sdtsldt0(sz00,xl)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222050,c_221329]) ).
tcf(c_237069,plain,
! [X0: $i,X1: $i] :
( ( xm = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtsldt0(sz00,xm),X0)) = sdtasdt0(sdtpldt0(X1,sdtsldt0(sz00,xm)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222049,c_221329]) ).
tcf(c_237070,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtsldt0(sz00,xn),X0)) = sdtasdt0(sdtpldt0(X1,sdtsldt0(sz00,xn)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222048,c_221329]) ).
tcf(c_237071,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xp )
| ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtsldt0(sz00,xp),X0)) = sdtasdt0(sdtpldt0(X1,sdtsldt0(sz00,xp)),X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223548,c_221329]) ).
tcf(c_237072,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sdtsldt0(sdtpldt0(xm,xn),X0),X1)) = sdtasdt0(sdtpldt0(X2,sdtsldt0(sdtpldt0(xm,xn),X0)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_221329]) ).
tcf(c_237073,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xq )
| ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtsldt0(sz00,xq),X0)) = sdtasdt0(sdtpldt0(X1,sdtsldt0(sz00,xq)),X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226431,c_221329]) ).
tcf(c_237074,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xq )
| ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtsldt0(sz00,xq),X0)) = sdtasdt0(sdtpldt0(X1,sdtsldt0(sz00,xq)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237073,c_225856,c_92]) ).
tcf(c_237079,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtsldt0(sz00,xp),X0)) = sdtasdt0(sdtpldt0(X1,sdtsldt0(sz00,xp)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237071,c_124385,c_221332,c_92]) ).
tcf(c_237083,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtsldt0(sz00,xn),X0)) = sdtasdt0(sdtpldt0(X1,sdtsldt0(sz00,xn)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237070,c_92,c_51]) ).
tcf(c_237088,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtsldt0(sz00,xm),X0)) = sdtasdt0(sdtpldt0(X1,sdtsldt0(sz00,xm)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237069,c_104694,c_92,c_50]) ).
tcf(c_237092,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtsldt0(sz00,xl),X0)) = sdtasdt0(sdtpldt0(X1,sdtsldt0(sz00,xl)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237068,c_54,c_92,c_49]) ).
tcf(c_237096,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(xp,X0)) = sdtasdt0(sdtpldt0(X1,xp),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_237063,c_55]) ).
tcf(c_237098,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(xq,X0)) = sdtasdt0(sdtpldt0(X1,xq),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(light_normalisation,[status(thm)],[c_237064,c_56]) ).
tcf(c_237197,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_221330]) ).
tcf(c_237198,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,xn),xl))) = sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(sdtpldt0(xm,xn),xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_221330]) ).
tcf(c_237199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = sz00 )
| ( sdtpldt0(sdtasdt0(X3,X4),sdtasdt0(X3,sdtsldt0(sdtpldt0(X0,X1),X2))) = sdtasdt0(X3,sdtpldt0(X4,sdtsldt0(sdtpldt0(X0,X1),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_221330]) ).
tcf(c_237200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtsldt0(sdtasdt0(X0,X1),X0))) = sdtasdt0(X2,sdtpldt0(X3,sdtsldt0(sdtasdt0(X0,X1),X0))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_221330]) ).
tcf(c_237202,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(sz00,xl))) = sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xl))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222050,c_221330]) ).
tcf(c_237203,plain,
! [X0: $i,X1: $i] :
( ( xm = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(sz00,xm))) = sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xm))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222049,c_221330]) ).
tcf(c_237204,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(sz00,xn))) = sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xn))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222048,c_221330]) ).
tcf(c_237205,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xp )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(sz00,xp))) = sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223548,c_221330]) ).
tcf(c_237206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtsldt0(sdtpldt0(xm,xn),X0))) = sdtasdt0(X1,sdtpldt0(X2,sdtsldt0(sdtpldt0(xm,xn),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_221330]) ).
tcf(c_237207,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xq )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(sz00,xq))) = sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xq))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226431,c_221330]) ).
tcf(c_237208,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xq )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(sz00,xq))) = sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237207,c_225856,c_92]) ).
tcf(c_237213,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(sz00,xp))) = sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237205,c_124385,c_221332,c_92]) ).
tcf(c_237217,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(sz00,xn))) = sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237204,c_92,c_51]) ).
tcf(c_237222,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(sz00,xm))) = sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237203,c_104694,c_92,c_50]) ).
tcf(c_237226,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(sz00,xl))) = sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237202,c_54,c_92,c_49]) ).
tcf(c_237230,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xp)) = sdtasdt0(X0,sdtpldt0(X1,xp)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_237197,c_55]) ).
tcf(c_237232,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xq)) = sdtasdt0(X0,sdtpldt0(X1,xq)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(light_normalisation,[status(thm)],[c_237198,c_56]) ).
tcf(c_237263,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_227119,c_136]) ).
tcf(c_237264,plain,
( aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_227119,c_76]) ).
tcf(c_237268,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_227119,c_66]) ).
tcf(c_237269,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_227119,c_68]) ).
tcf(c_237270,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_227119,c_62]) ).
tcf(c_237271,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_227119,c_60]) ).
tcf(c_237272,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_227119,c_77]) ).
tcf(c_237273,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_227119,c_69]) ).
tcf(c_237274,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_227119,c_60]) ).
tcf(c_237275,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_227119,c_62]) ).
tcf(c_237276,plain,
( sdtlseqdt0(xl,sdtpldt0(xl,xp))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_227119,c_229378]) ).
tcf(c_237277,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xl,xp) != xl ) ),
inference(superposition,[status(thm)],[c_227119,c_220817]) ).
tcf(c_237278,plain,
aNaturalNumber0(sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_237264,c_221332,c_49]) ).
tcf(c_237279,plain,
sdtlseqdt0(xp,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_237263,c_221332,c_49]) ).
tcf(c_237280,plain,
sdtlseqdt0(xl,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_237276,c_124385,c_221332]) ).
tcf(c_237281,plain,
sdtpldt0(xl,xp) != xl,
inference(forward_subsumption_resolution,[status(thm)],[c_237277,c_124385,c_221332]) ).
tcf(c_237282,plain,
sdtpldt0(xl,xp) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_237268,c_124385,c_221332,c_49]) ).
tcf(c_237283,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237273,c_221332,c_49]) ).
tcf(c_237287,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237272,c_221332,c_49]) ).
tcf(c_237292,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237269,c_221332,c_49]) ).
tcf(c_237296,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237275,c_221332,c_49]) ).
tcf(c_237301,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xl,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237274,c_221332,c_49]) ).
tcf(c_237306,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xp,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237271,c_221332,c_49]) ).
tcf(c_237311,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,xl))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237270,c_221332,c_49]) ).
tcf(c_237505,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,xp),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_221295]) ).
tcf(c_237506,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(xl,xp),sK0(sdtpldt0(xl,xp),sdtasdt0(sdtpldt0(xl,xp),X0))) = sdtasdt0(sdtpldt0(xl,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_233162]) ).
tcf(c_237507,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_221047]) ).
tcf(c_237508,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xp),X0),sz00) = sdtpldt0(sdtpldt0(xl,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220778]) ).
tcf(c_237509,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(sdtpldt0(xl,xp),X0))) = sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(sdtpldt0(xl,xp),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220777]) ).
tcf(c_237510,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sdtpldt0(sdtpldt0(xl,xp),X0),X1)) = sdtasdt0(sdtpldt0(X2,sdtpldt0(sdtpldt0(xl,xp),X0)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220776]) ).
tcf(c_237511,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,xp),X0)) = sdtpldt0(sdtpldt0(xl,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220775]) ).
tcf(c_237512,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(sdtpldt0(xl,xp),X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtpldt0(sdtpldt0(xl,xp),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220774]) ).
tcf(c_237513,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xp),X0),X1) = sdtpldt0(X1,sdtpldt0(sdtpldt0(xl,xp),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220773]) ).
tcf(c_237514,plain,
sdtpldt0(sdtpldt0(xl,xp),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_237278,c_220749]) ).
tcf(c_237515,plain,
sdtpldt0(sdtpldt0(xl,xp),xn) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_237278,c_220747]) ).
tcf(c_237516,plain,
sdtpldt0(sdtpldt0(xl,xp),xm) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_237278,c_220746]) ).
tcf(c_237517,plain,
sdtpldt0(sdtpldt0(xl,xp),xl) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_237278,c_220745]) ).
tcf(c_237518,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xp),X0),sz00) = sdtpldt0(sdtpldt0(xl,xp),sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220720]) ).
tcf(c_237519,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xp),X0),xn) = sdtpldt0(sdtpldt0(xl,xp),sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220718]) ).
tcf(c_237520,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xp),X0),xm) = sdtpldt0(sdtpldt0(xl,xp),sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220717]) ).
tcf(c_237521,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xp),X0),xl) = sdtpldt0(sdtpldt0(xl,xp),sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220716]) ).
tcf(c_237522,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xp)),sdtasdt0(sz00,sdtpldt0(xl,xp))) = sdtasdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220600]) ).
tcf(c_237523,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xp)),sdtasdt0(xn,sdtpldt0(xl,xp))) = sdtasdt0(sdtpldt0(X0,xn),sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220598]) ).
tcf(c_237524,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xp)),sdtasdt0(xm,sdtpldt0(xl,xp))) = sdtasdt0(sdtpldt0(X0,xm),sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220597]) ).
tcf(c_237525,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xp)),sdtasdt0(xl,sdtpldt0(xl,xp))) = sdtasdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220596]) ).
tcf(c_237526,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xp),X0),sdtasdt0(sdtpldt0(xl,xp),sz00)) = sdtasdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220569]) ).
tcf(c_237527,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xp),X0),sdtasdt0(sdtpldt0(xl,xp),xn)) = sdtasdt0(sdtpldt0(xl,xp),sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220567]) ).
tcf(c_237528,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xp),X0),sdtasdt0(sdtpldt0(xl,xp),xm)) = sdtasdt0(sdtpldt0(xl,xp),sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220566]) ).
tcf(c_237529,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xp),X0),sdtasdt0(sdtpldt0(xl,xp),xl)) = sdtasdt0(sdtpldt0(xl,xp),sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_220565]) ).
tcf(c_237530,plain,
sdtpldt0(sdtpldt0(xl,xp),sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_237278,c_220435]) ).
tcf(c_237531,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_143]) ).
tcf(c_237532,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xp),X0) = sdtasdt0(X0,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_102]) ).
tcf(c_237533,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,xp)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_101]) ).
tcf(c_237534,plain,
sdtasdt0(sz00,sdtpldt0(xl,xp)) = sz00,
inference(superposition,[status(thm)],[c_237278,c_91]) ).
tcf(c_237535,plain,
sdtasdt0(sdtpldt0(xl,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_237278,c_90]) ).
tcf(c_237536,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xp),X0) = sdtpldt0(X0,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_75]) ).
tcf(c_237537,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,xp)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_74]) ).
tcf(c_237538,plain,
sdtpldt0(sz00,sdtpldt0(xl,xp)) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_237278,c_73]) ).
tcf(c_237539,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,xp),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,xp)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_71]) ).
tcf(c_237540,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,xp))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_70]) ).
tcf(c_237541,plain,
sdtpldt0(sdtpldt0(xl,xp),sz00) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_237278,c_72]) ).
tcf(c_237693,plain,
( ( xl = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sz00) = sdtsldt0(xm,xl) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_52,c_221331]) ).
tcf(c_237694,plain,
( ( xl = sz00 )
| ( sdtpldt0(sdtsldt0(sdtpldt0(xm,xn),xl),sz00) = sdtsldt0(sdtpldt0(xm,xn),xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_221331]) ).
tcf(c_237695,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtpldt0(sdtsldt0(sdtpldt0(X0,X1),X2),sz00) = sdtsldt0(sdtpldt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_221331]) ).
tcf(c_237696,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(sdtasdt0(X0,X1),X0),sz00) = sdtsldt0(sdtasdt0(X0,X1),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_221331]) ).
tcf(c_237698,plain,
( ( xl = sz00 )
| ( sdtpldt0(sdtsldt0(sz00,xl),sz00) = sdtsldt0(sz00,xl) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_222050,c_221331]) ).
tcf(c_237699,plain,
( ( xm = sz00 )
| ( sdtpldt0(sdtsldt0(sz00,xm),sz00) = sdtsldt0(sz00,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_222049,c_221331]) ).
tcf(c_237700,plain,
( ( xn = sz00 )
| ( sdtpldt0(sdtsldt0(sz00,xn),sz00) = sdtsldt0(sz00,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_222048,c_221331]) ).
tcf(c_237701,plain,
( ( sz00 = xp )
| ( sdtpldt0(sdtsldt0(sz00,xp),sz00) = sdtsldt0(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_223548,c_221331]) ).
tcf(c_237702,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(sdtpldt0(xm,xn),X0),sz00) = sdtsldt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_221331]) ).
tcf(c_237703,plain,
( ( sz00 = xq )
| ( sdtpldt0(sdtsldt0(sz00,xq),sz00) = sdtsldt0(sz00,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_226431,c_221331]) ).
tcf(c_237704,plain,
( ( sz00 = xq )
| ( sdtpldt0(sdtsldt0(sz00,xq),sz00) = sdtsldt0(sz00,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237703,c_225856,c_92]) ).
tcf(c_237707,plain,
sdtpldt0(sdtsldt0(sz00,xp),sz00) = sdtsldt0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_237701,c_124385,c_221332,c_92]) ).
tcf(c_237708,plain,
( ( xn = sz00 )
| ( sdtpldt0(sdtsldt0(sz00,xn),sz00) = sdtsldt0(sz00,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237700,c_92,c_51]) ).
tcf(c_237711,plain,
sdtpldt0(sdtsldt0(sz00,xm),sz00) = sdtsldt0(sz00,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_237699,c_104694,c_92,c_50]) ).
tcf(c_237712,plain,
sdtpldt0(sdtsldt0(sz00,xl),sz00) = sdtsldt0(sz00,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_237698,c_54,c_92,c_49]) ).
tcf(c_237740,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(xp,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_221395]) ).
tcf(c_237741,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),xp) = sdtpldt0(xp,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_221395]) ).
tcf(c_237742,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xp) = sdtpldt0(xp,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_221395]) ).
tcf(c_237743,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),xp) = sdtpldt0(xp,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_221395]) ).
tcf(c_237745,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_94,c_221395]) ).
tcf(c_237746,plain,
sdtpldt0(xp,xq) = sdtpldt0(xq,xp),
inference(superposition,[status(thm)],[c_225856,c_221395]) ).
tcf(c_237748,plain,
sdtpldt0(sdtpldt0(xm,xl),xp) = sdtpldt0(xp,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_232638,c_221395]) ).
tcf(c_237749,plain,
sdtpldt0(sdtpldt0(xl,xn),xp) = sdtpldt0(xp,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_235048,c_221395]) ).
tcf(c_237750,plain,
sdtpldt0(sdtpldt0(xl,xp),xp) = sdtpldt0(xp,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_237278,c_221395]) ).
tcf(c_237751,plain,
sdtpldt0(sdtpldt0(xl,xq),xp) = sdtpldt0(xp,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_236340,c_221395]) ).
tcf(c_237832,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,X0),xp) = sdtpldt0(xl,sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_221396]) ).
tcf(c_237833,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,X0),xp) = sdtpldt0(xm,sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_221396]) ).
tcf(c_237834,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,X0),xp) = sdtpldt0(xn,sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_221396]) ).
tcf(c_237835,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),xp) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,xp)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_221396]) ).
tcf(c_237836,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sK0(X0,X1),X2),xp) = sdtpldt0(sK0(X0,X1),sdtpldt0(X2,xp)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_221396]) ).
tcf(c_237837,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),xp) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X2,xp)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_221396]) ).
tcf(c_237838,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sK1(X0,X1),X2),xp) = sdtpldt0(sK1(X0,X1),sdtpldt0(X2,xp)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_221396]) ).
tcf(c_237839,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),xp) = sdtpldt0(sz00,sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_221396]) ).
tcf(c_237840,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(X1,X0),X2),xp) = sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(X2,xp)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_221396]) ).
tcf(c_237841,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,X0),xp) = sdtpldt0(xq,sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_221396]) ).
tcf(c_237842,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,X0),xp) = sdtpldt0(xp,sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_221396]) ).
tcf(c_237843,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xl),X0),xp) = sdtpldt0(sdtpldt0(xm,xl),sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_221396]) ).
tcf(c_237844,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xn),X0),xp) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_221396]) ).
tcf(c_237845,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xp),X0),xp) = sdtpldt0(sdtpldt0(xl,xp),sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_221396]) ).
tcf(c_237846,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xq),X0),xp) = sdtpldt0(sdtpldt0(xl,xq),sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_221396]) ).
tcf(c_237924,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_98]) ).
tcf(c_237925,plain,
( ( sdtasdt0(sz00,sK0(xp,sdtpldt0(xl,xp))) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_221296]) ).
tcf(c_237926,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = xp )
| ( sdtpldt0(sdtasdt0(xp,X0),sK0(sdtasdt0(xp,X0),sdtasdt0(sdtpldt0(xl,xp),X0))) = sdtasdt0(sdtpldt0(xl,xp),X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_234443]) ).
tcf(c_237927,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = xp )
| ( sdtpldt0(sdtasdt0(X0,xp),sK0(sdtasdt0(X0,xp),sdtasdt0(X0,sdtpldt0(xl,xp)))) = sdtasdt0(X0,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_233482]) ).
tcf(c_237928,plain,
( ( sdtasdt0(sK0(xp,sdtpldt0(xl,xp)),sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_221048]) ).
tcf(c_237929,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xp,sdtpldt0(xl,xp)),X0) = sdtpldt0(X0,sK0(xp,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_220748]) ).
tcf(c_237930,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xp,sdtpldt0(xl,xp))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xp,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_220719]) ).
tcf(c_237931,plain,
( ( sdtpldt0(sz00,sK0(xp,sdtpldt0(xl,xp))) = sK0(xp,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_220626]) ).
tcf(c_237932,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xp,sdtpldt0(xl,xp)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xp,sdtpldt0(xl,xp))),X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_220599]) ).
tcf(c_237933,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xp,sdtpldt0(xl,xp)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xp,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_220568]) ).
tcf(c_237934,plain,
( ( sdtpldt0(sK0(xp,sdtpldt0(xl,xp)),sz00) = sK0(xp,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_220445]) ).
tcf(c_237935,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = xp )
| ( sdtpldt0(sdtpldt0(xp,X0),sK0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xl,xp),X0))) = sdtpldt0(sdtpldt0(xl,xp),X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_222410]) ).
tcf(c_237936,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = xp )
| ( sdtpldt0(sdtpldt0(X0,xp),sK0(sdtpldt0(X0,xp),sdtpldt0(X0,sdtpldt0(xl,xp)))) = sdtpldt0(X0,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_222310]) ).
tcf(c_237937,plain,
( ( sdtpldt0(xl,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),xp) ),
inference(superposition,[status(thm)],[c_237279,c_99]) ).
tcf(c_237938,plain,
( ( sdtpldt0(xp,sK0(xp,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_65]) ).
tcf(c_237939,plain,
sdtasdt0(sK0(xp,sdtpldt0(xl,xp)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_237928,c_221332,c_237278]) ).
tcf(c_237940,plain,
sdtasdt0(sz00,sK0(xp,sdtpldt0(xl,xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_237925,c_221332,c_237278]) ).
tcf(c_237941,plain,
sdtpldt0(xp,sK0(xp,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_237938,c_221332,c_237278]) ).
tcf(c_237942,plain,
( ( sdtpldt0(xl,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xl,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237937,c_221332,c_237278]) ).
tcf(c_237945,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237924,c_221332,c_237278]) ).
tcf(c_237949,plain,
sdtpldt0(sK0(xp,sdtpldt0(xl,xp)),sz00) = sK0(xp,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_237934,c_221332,c_237278]) ).
tcf(c_237950,plain,
sdtpldt0(sz00,sK0(xp,sdtpldt0(xl,xp))) = sK0(xp,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_237931,c_221332,c_237278]) ).
tcf(c_237951,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xp,sdtpldt0(xl,xp)),X0) = sdtpldt0(X0,sK0(xp,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237929,c_221332,c_237278]) ).
tcf(c_237954,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xp,sdtpldt0(xl,xp))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xp,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237930,c_221332,c_237278]) ).
tcf(c_237958,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xp,sdtpldt0(xl,xp)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xp,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237933,c_221332,c_237278]) ).
tcf(c_237962,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xp,sdtpldt0(xl,xp)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xp,sdtpldt0(xl,xp))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237932,c_221332,c_237278]) ).
tcf(c_237966,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = xp )
| ( sdtpldt0(sdtpldt0(X0,xp),sK0(sdtpldt0(X0,xp),sdtpldt0(X0,sdtpldt0(xl,xp)))) = sdtpldt0(X0,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237936,c_221332,c_237278]) ).
tcf(c_237970,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = xp )
| ( sdtpldt0(sdtpldt0(xp,X0),sK0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xl,xp),X0))) = sdtpldt0(sdtpldt0(xl,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237935,c_221332,c_237278]) ).
tcf(c_237974,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = xp )
| ( sdtpldt0(sdtasdt0(X0,xp),sK0(sdtasdt0(X0,xp),sdtasdt0(X0,sdtpldt0(xl,xp)))) = sdtasdt0(X0,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237927,c_221332,c_237278]) ).
tcf(c_237979,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = xp )
| ( sdtpldt0(sdtasdt0(xp,X0),sK0(sdtasdt0(xp,X0),sdtasdt0(sdtpldt0(xl,xp),X0))) = sdtasdt0(sdtpldt0(xl,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_237926,c_221332,c_237278]) ).
tcf(c_238018,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_98]) ).
tcf(c_238019,plain,
( ( sdtasdt0(sz00,sK0(xl,sdtpldt0(xl,xp))) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_221296]) ).
tcf(c_238020,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = xl )
| ( sdtpldt0(sdtasdt0(xl,X0),sK0(sdtasdt0(xl,X0),sdtasdt0(sdtpldt0(xl,xp),X0))) = sdtasdt0(sdtpldt0(xl,xp),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_234443]) ).
tcf(c_238021,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = xl )
| ( sdtpldt0(sdtasdt0(X0,xl),sK0(sdtasdt0(X0,xl),sdtasdt0(X0,sdtpldt0(xl,xp)))) = sdtasdt0(X0,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_233482]) ).
tcf(c_238022,plain,
( ( sdtasdt0(sK0(xl,sdtpldt0(xl,xp)),sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_221048]) ).
tcf(c_238023,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xl,sdtpldt0(xl,xp)),X0) = sdtpldt0(X0,sK0(xl,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_220748]) ).
tcf(c_238024,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xl,sdtpldt0(xl,xp))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_220719]) ).
tcf(c_238025,plain,
( ( sdtpldt0(sz00,sK0(xl,sdtpldt0(xl,xp))) = sK0(xl,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_220626]) ).
tcf(c_238026,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xl,sdtpldt0(xl,xp)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xl,sdtpldt0(xl,xp))),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_220599]) ).
tcf(c_238027,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xl,sdtpldt0(xl,xp)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_220568]) ).
tcf(c_238028,plain,
( ( sdtpldt0(sK0(xl,sdtpldt0(xl,xp)),sz00) = sK0(xl,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_220445]) ).
tcf(c_238029,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = xl )
| ( sdtpldt0(sdtpldt0(xl,X0),sK0(sdtpldt0(xl,X0),sdtpldt0(sdtpldt0(xl,xp),X0))) = sdtpldt0(sdtpldt0(xl,xp),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_222410]) ).
tcf(c_238030,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = xl )
| ( sdtpldt0(sdtpldt0(X0,xl),sK0(sdtpldt0(X0,xl),sdtpldt0(X0,sdtpldt0(xl,xp)))) = sdtpldt0(X0,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_222310]) ).
tcf(c_238031,plain,
( ( sdtpldt0(xl,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),xl) ),
inference(superposition,[status(thm)],[c_237280,c_99]) ).
tcf(c_238032,plain,
( ( sdtpldt0(xl,sK0(xl,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_65]) ).
tcf(c_238033,plain,
sdtasdt0(sK0(xl,sdtpldt0(xl,xp)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_238022,c_49,c_237278]) ).
tcf(c_238034,plain,
sdtasdt0(sz00,sK0(xl,sdtpldt0(xl,xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_238019,c_49,c_237278]) ).
tcf(c_238035,plain,
sdtpldt0(xl,sK0(xl,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_238032,c_49,c_237278]) ).
tcf(c_238036,plain,
( ( sdtpldt0(xl,xp) = xl )
| ~ sdtlseqdt0(sdtpldt0(xl,xp),xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238031,c_49,c_237278]) ).
tcf(c_238039,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238018,c_49,c_237278]) ).
tcf(c_238043,plain,
sdtpldt0(sK0(xl,sdtpldt0(xl,xp)),sz00) = sK0(xl,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_238028,c_49,c_237278]) ).
tcf(c_238044,plain,
sdtpldt0(sz00,sK0(xl,sdtpldt0(xl,xp))) = sK0(xl,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_238025,c_49,c_237278]) ).
tcf(c_238045,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xl,sdtpldt0(xl,xp)),X0) = sdtpldt0(X0,sK0(xl,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238023,c_49,c_237278]) ).
tcf(c_238048,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xl,sdtpldt0(xl,xp))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238024,c_49,c_237278]) ).
tcf(c_238052,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xl,sdtpldt0(xl,xp)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238027,c_49,c_237278]) ).
tcf(c_238056,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xl,sdtpldt0(xl,xp)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xl,sdtpldt0(xl,xp))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238026,c_49,c_237278]) ).
tcf(c_238060,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = xl )
| ( sdtpldt0(sdtpldt0(X0,xl),sK0(sdtpldt0(X0,xl),sdtpldt0(X0,sdtpldt0(xl,xp)))) = sdtpldt0(X0,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238030,c_49,c_237278]) ).
tcf(c_238064,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = xl )
| ( sdtpldt0(sdtpldt0(xl,X0),sK0(sdtpldt0(xl,X0),sdtpldt0(sdtpldt0(xl,xp),X0))) = sdtpldt0(sdtpldt0(xl,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238029,c_49,c_237278]) ).
tcf(c_238068,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = xl )
| ( sdtpldt0(sdtasdt0(X0,xl),sK0(sdtasdt0(X0,xl),sdtasdt0(X0,sdtpldt0(xl,xp)))) = sdtasdt0(X0,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238021,c_49,c_237278]) ).
tcf(c_238073,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = xl )
| ( sdtpldt0(sdtasdt0(xl,X0),sK0(sdtasdt0(xl,X0),sdtasdt0(sdtpldt0(xl,xp),X0))) = sdtasdt0(sdtpldt0(xl,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238020,c_49,c_237278]) ).
tcf(c_238142,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xl),sdtasdt0(xp,xl)) = sdtasdt0(sdtpldt0(X0,xp),xl) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_221398]) ).
tcf(c_238143,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(xp,xm)) = sdtasdt0(sdtpldt0(X0,xp),xm) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_221398]) ).
tcf(c_238144,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(xp,xn)) = sdtasdt0(sdtpldt0(X0,xp),xn) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_221398]) ).
tcf(c_238145,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtpldt0(X0,X1)),sdtasdt0(xp,sdtpldt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,xp),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_221398]) ).
tcf(c_238146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK0(X0,X1)),sdtasdt0(xp,sK0(X0,X1))) = sdtasdt0(sdtpldt0(X2,xp),sK0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_221398]) ).
tcf(c_238147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X0,X1)),sdtasdt0(xp,sdtasdt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,xp),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_221398]) ).
tcf(c_238148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK1(X0,X1)),sdtasdt0(xp,sK1(X0,X1))) = sdtasdt0(sdtpldt0(X2,xp),sK1(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_221398]) ).
tcf(c_238149,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xp,sz00)) = sdtasdt0(sdtpldt0(X0,xp),sz00) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_221398]) ).
tcf(c_238150,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtsldt0(X1,X0)),sdtasdt0(xp,sdtsldt0(X1,X0))) = sdtasdt0(sdtpldt0(X2,xp),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_221398]) ).
tcf(c_238151,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xq),sdtasdt0(xp,xq)) = sdtasdt0(sdtpldt0(X0,xp),xq) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_221398]) ).
tcf(c_238152,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(xp,xp)) = sdtasdt0(sdtpldt0(X0,xp),xp) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_221398]) ).
tcf(c_238153,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xl)),sdtasdt0(xp,sdtpldt0(xm,xl))) = sdtasdt0(sdtpldt0(X0,xp),sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_221398]) ).
tcf(c_238154,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xn)),sdtasdt0(xp,sdtpldt0(xl,xn))) = sdtasdt0(sdtpldt0(X0,xp),sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_221398]) ).
tcf(c_238155,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xp)),sdtasdt0(xp,sdtpldt0(xl,xp))) = sdtasdt0(sdtpldt0(X0,xp),sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_221398]) ).
tcf(c_238156,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xq)),sdtasdt0(xp,sdtpldt0(xl,xq))) = sdtasdt0(sdtpldt0(X0,xp),sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_221398]) ).
tcf(c_238161,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sdtpldt0(X0,xp),sz00) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_238149,c_221394]) ).
tcf(c_238222,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,xp)) = sdtasdt0(xl,sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_221399]) ).
tcf(c_238223,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,X0),sdtasdt0(xm,xp)) = sdtasdt0(xm,sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_221399]) ).
tcf(c_238224,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,X0),sdtasdt0(xn,xp)) = sdtasdt0(xn,sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_221399]) ).
tcf(c_238225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sdtasdt0(sdtpldt0(X0,X1),xp)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xp)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_221399]) ).
tcf(c_238226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sK0(X0,X1),X2),sdtasdt0(sK0(X0,X1),xp)) = sdtasdt0(sK0(X0,X1),sdtpldt0(X2,xp)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_221399]) ).
tcf(c_238227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sdtasdt0(sdtasdt0(X0,X1),xp)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,xp)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_221399]) ).
tcf(c_238228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sK1(X0,X1),X2),sdtasdt0(sK1(X0,X1),xp)) = sdtasdt0(sK1(X0,X1),sdtpldt0(X2,xp)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_221399]) ).
tcf(c_238229,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,xp)) = sdtasdt0(sz00,sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_221399]) ).
tcf(c_238230,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(X1,X0),X2),sdtasdt0(sdtsldt0(X1,X0),xp)) = sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(X2,xp)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_221399]) ).
tcf(c_238231,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,X0),sdtasdt0(xq,xp)) = sdtasdt0(xq,sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_221399]) ).
tcf(c_238232,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,X0),sdtasdt0(xp,xp)) = sdtasdt0(xp,sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_221399]) ).
tcf(c_238233,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xl),X0),sdtasdt0(sdtpldt0(xm,xl),xp)) = sdtasdt0(sdtpldt0(xm,xl),sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_221399]) ).
tcf(c_238234,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xn),X0),sdtasdt0(sdtpldt0(xl,xn),xp)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_221399]) ).
tcf(c_238235,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xp),X0),sdtasdt0(sdtpldt0(xl,xp),xp)) = sdtasdt0(sdtpldt0(xl,xp),sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_221399]) ).
tcf(c_238236,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xq),X0),sdtasdt0(sdtpldt0(xl,xq),xp)) = sdtasdt0(sdtpldt0(xl,xq),sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_221399]) ).
tcf(c_238241,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sz00) = sdtasdt0(sz00,sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_238229,c_221393]) ).
tcf(c_238248,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,X0),xm) = sdtasdt0(xl,sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_238222,c_221469]) ).
tcf(c_238333,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_221445,c_7767,c_223418]) ).
tcf(c_238342,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_98]) ).
tcf(c_238343,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(sz00,sdtasdt0(X0,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_221296]) ).
tcf(c_238344,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,xl) = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X1),sK0(sdtasdt0(sz00,X1),sdtasdt0(sdtasdt0(X0,xl),X1))) = sdtasdt0(sdtasdt0(X0,xl),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_234443]) ).
tcf(c_238345,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,xl) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sz00),sK0(sdtasdt0(X1,sz00),sdtasdt0(X1,sdtasdt0(X0,xl)))) = sdtasdt0(X1,sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_233482]) ).
tcf(c_238346,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(X0,xl)),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_221048]) ).
tcf(c_238347,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(X0,xl)),X1) = sdtpldt0(X1,sK0(sz00,sdtasdt0(X0,xl))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_220748]) ).
tcf(c_238348,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sz00,sdtasdt0(X0,xl))) = sdtpldt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(X0,xl)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_220719]) ).
tcf(c_238349,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(X0,xl))) = sK0(sz00,sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_220626]) ).
tcf(c_238350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sz00,sdtasdt0(X0,xl)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sz00,sdtasdt0(X0,xl))),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_220599]) ).
tcf(c_238351,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sz00,sdtasdt0(X0,xl)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(X0,xl)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_220568]) ).
tcf(c_238352,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(X0,xl)),sz00) = sK0(sz00,sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_220445]) ).
tcf(c_238353,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,xl) = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X1),sK0(sdtpldt0(sz00,X1),sdtpldt0(sdtasdt0(X0,xl),X1))) = sdtpldt0(sdtasdt0(X0,xl),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_222410]) ).
tcf(c_238354,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,xl) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sz00),sK0(sdtpldt0(X1,sz00),sdtpldt0(X1,sdtasdt0(X0,xl)))) = sdtpldt0(X1,sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_222310]) ).
tcf(c_238355,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl))
| ~ sdtlseqdt0(sdtasdt0(X0,xl),sz00) ),
inference(superposition,[status(thm)],[c_238333,c_99]) ).
tcf(c_238356,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(X0,xl))) = sdtasdt0(X0,xl) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_65]) ).
tcf(c_238357,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(X0,xl)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238346,c_92]) ).
tcf(c_238362,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(sz00,sdtasdt0(X0,xl))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238343,c_92]) ).
tcf(c_238367,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(X0,xl))) = sdtasdt0(X0,xl) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238356,c_92]) ).
tcf(c_238372,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,xl) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl))
| ~ sdtlseqdt0(sdtasdt0(X0,xl),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238355,c_92]) ).
tcf(c_238378,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238342,c_92]) ).
tcf(c_238385,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(X0,xl)),sz00) = sK0(sz00,sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238352,c_92]) ).
tcf(c_238390,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(X0,xl))) = sK0(sz00,sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238349,c_92]) ).
tcf(c_238395,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(X0,xl)),X1) = sdtpldt0(X1,sK0(sz00,sdtasdt0(X0,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238347,c_92]) ).
tcf(c_238401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sz00,sdtasdt0(X0,xl))) = sdtpldt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(X0,xl)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238348,c_92]) ).
tcf(c_238408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sz00,sdtasdt0(X0,xl)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(X0,xl)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238351,c_92]) ).
tcf(c_238415,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sz00,sdtasdt0(X0,xl)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sz00,sdtasdt0(X0,xl))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238350,c_92]) ).
tcf(c_238422,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,xl) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sz00),sK0(sdtpldt0(X1,sz00),sdtpldt0(X1,sdtasdt0(X0,xl)))) = sdtpldt0(X1,sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238354,c_92]) ).
tcf(c_238429,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,xl) = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X1),sK0(sdtpldt0(sz00,X1),sdtpldt0(sdtasdt0(X0,xl),X1))) = sdtpldt0(sdtasdt0(X0,xl),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238353,c_92]) ).
tcf(c_238436,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,xl) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sz00),sK0(sdtasdt0(X1,sz00),sdtasdt0(X1,sdtasdt0(X0,xl)))) = sdtasdt0(X1,sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238345,c_92]) ).
tcf(c_238444,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,xl) = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X1),sK0(sdtasdt0(sz00,X1),sdtasdt0(sdtasdt0(X0,xl),X1))) = sdtasdt0(sdtasdt0(X0,xl),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238344,c_92]) ).
tcf(c_238498,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) ),
inference(global_subsumption_just,[status(thm)],[c_221467,c_76,c_5074]) ).
tcf(c_238499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(X1,X2),X0)) = sdtpldt0(X1,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1) ),
inference(renaming,[status(thm)],[c_238498]) ).
tcf(c_238514,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,X0),xl)) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0) ),
inference(superposition,[status(thm)],[c_52,c_238499]) ).
tcf(c_238515,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(sdtpldt0(sdtpldt0(xm,xn),X0),xl)) = sdtpldt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_238499]) ).
tcf(c_238516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = sz00 )
| ( sdtasdt0(X2,sdtsldt0(sdtpldt0(sdtpldt0(X0,X1),X3),X2)) = sdtpldt0(sdtpldt0(X0,X1),X3) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X3)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_238499]) ).
tcf(c_238517,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sdtasdt0(X0,X1),X2),X0)) = sdtpldt0(sdtasdt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_238499]) ).
tcf(c_238519,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(sdtpldt0(sz00,X0),xl)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0) ),
inference(superposition,[status(thm)],[c_222050,c_238499]) ).
tcf(c_238520,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sdtpldt0(sz00,X0),xm)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(superposition,[status(thm)],[c_222049,c_238499]) ).
tcf(c_238521,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sdtpldt0(sz00,X0),xn)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X0) ),
inference(superposition,[status(thm)],[c_222048,c_238499]) ).
tcf(c_238522,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtpldt0(sz00,X0),xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) ),
inference(superposition,[status(thm)],[c_223548,c_238499]) ).
tcf(c_238523,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sdtpldt0(xm,xn),X1),X0)) = sdtpldt0(sdtpldt0(xm,xn),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_230421,c_238499]) ).
tcf(c_238524,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtpldt0(sz00,X0),xq)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xq,X0) ),
inference(superposition,[status(thm)],[c_226431,c_238499]) ).
tcf(c_238525,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtpldt0(sz00,X0),xq)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238524,c_225856,c_92]) ).
tcf(c_238530,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sdtsldt0(sdtpldt0(sz00,X0),xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238522,c_124385,c_221332,c_92]) ).
tcf(c_238534,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sdtpldt0(sz00,X0),xn)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238521,c_92,c_51]) ).
tcf(c_238539,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtsldt0(sdtpldt0(sz00,X0),xm)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238520,c_104694,c_92,c_50]) ).
tcf(c_238543,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtsldt0(sdtpldt0(sz00,X0),xl)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238519,c_54,c_92,c_49]) ).
tcf(c_238547,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,X0),xl)) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238514,c_54,c_50,c_49]) ).
tcf(c_238551,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtsldt0(sdtpldt0(sdtpldt0(xm,xn),X0),xl)) = sdtpldt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238515,c_54,c_49]) ).
tcf(c_238639,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_227225,c_76]) ).
tcf(c_238642,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_227225,c_67]) ).
tcf(c_238643,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_227225,c_66]) ).
tcf(c_238644,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_227225,c_68]) ).
tcf(c_238645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(X0,xm))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_227225,c_62]) ).
tcf(c_238646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xn,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_227225,c_60]) ).
tcf(c_238647,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_227225,c_77]) ).
tcf(c_238648,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_227225,c_69]) ).
tcf(c_238649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xm,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_227225,c_60]) ).
tcf(c_238650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_227225,c_62]) ).
tcf(c_238652,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xm,xn) != xm ) ),
inference(superposition,[status(thm)],[c_227225,c_220860]) ).
tcf(c_238653,plain,
( sdtlseqdt0(xn,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_227225,c_225602]) ).
tcf(c_238654,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xn) != xn ) ),
inference(superposition,[status(thm)],[c_227225,c_220646]) ).
tcf(c_238655,plain,
sdtlseqdt0(xn,sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_238653,c_50]) ).
tcf(c_238656,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_238639,c_51,c_50]) ).
tcf(c_238657,plain,
sdtpldt0(xm,xn) != xn,
inference(forward_subsumption_resolution,[status(thm)],[c_238654,c_104694,c_50]) ).
tcf(c_238658,plain,
( ( xn = sz00 )
| ( sdtpldt0(xm,xn) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238652,c_51]) ).
tcf(c_238664,plain,
sdtpldt0(xm,xn) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_238642,c_104694,c_51,c_50]) ).
tcf(c_238665,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238648,c_51,c_50]) ).
tcf(c_238669,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238647,c_51,c_50]) ).
tcf(c_238674,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238644,c_51,c_50]) ).
tcf(c_238678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238650,c_51,c_50]) ).
tcf(c_238683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xm,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238649,c_51,c_50]) ).
tcf(c_238688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xn,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238646,c_51,c_50]) ).
tcf(c_238693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(X0,xm))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238645,c_51,c_50]) ).
tcf(c_238723,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xn),X0),sdtasdt0(sdtpldt0(xm,xn),xp)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_221399]) ).
tcf(c_238724,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xn)),sdtasdt0(xp,sdtpldt0(xm,xn))) = sdtasdt0(sdtpldt0(X0,xp),sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_221398]) ).
tcf(c_238725,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xn),X0),xp) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_221396]) ).
tcf(c_238726,plain,
sdtpldt0(sdtpldt0(xm,xn),xp) = sdtpldt0(xp,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_238656,c_221395]) ).
tcf(c_238727,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_221295]) ).
tcf(c_238728,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(xm,xn),sK0(sdtpldt0(xm,xn),sdtasdt0(sdtpldt0(xm,xn),X0))) = sdtasdt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_233162]) ).
tcf(c_238729,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_221047]) ).
tcf(c_238730,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xn),X0),sz00) = sdtpldt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220778]) ).
tcf(c_238731,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(sdtpldt0(xm,xn),X0))) = sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(sdtpldt0(xm,xn),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220777]) ).
tcf(c_238732,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sdtpldt0(sdtpldt0(xm,xn),X0),X1)) = sdtasdt0(sdtpldt0(X2,sdtpldt0(sdtpldt0(xm,xn),X0)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220776]) ).
tcf(c_238733,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xm,xn),X0)) = sdtpldt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220775]) ).
tcf(c_238734,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(sdtpldt0(xm,xn),X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtpldt0(sdtpldt0(xm,xn),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220774]) ).
tcf(c_238735,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xn),X0),X1) = sdtpldt0(X1,sdtpldt0(sdtpldt0(xm,xn),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220773]) ).
tcf(c_238736,plain,
sdtpldt0(sdtpldt0(xm,xn),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_238656,c_220749]) ).
tcf(c_238737,plain,
sdtpldt0(sdtpldt0(xm,xn),xn) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_238656,c_220747]) ).
tcf(c_238738,plain,
sdtpldt0(sdtpldt0(xm,xn),xm) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_238656,c_220746]) ).
tcf(c_238739,plain,
sdtpldt0(sdtpldt0(xm,xn),xl) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_238656,c_220745]) ).
tcf(c_238740,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xn),X0),sz00) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220720]) ).
tcf(c_238741,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xn),X0),xn) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220718]) ).
tcf(c_238742,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xn),X0),xm) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220717]) ).
tcf(c_238743,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xn),X0),xl) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220716]) ).
tcf(c_238744,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xn)),sdtasdt0(sz00,sdtpldt0(xm,xn))) = sdtasdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220600]) ).
tcf(c_238745,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xn)),sdtasdt0(xn,sdtpldt0(xm,xn))) = sdtasdt0(sdtpldt0(X0,xn),sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220598]) ).
tcf(c_238746,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xn)),sdtasdt0(xm,sdtpldt0(xm,xn))) = sdtasdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220597]) ).
tcf(c_238747,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xn)),sdtasdt0(xl,sdtpldt0(xm,xn))) = sdtasdt0(sdtpldt0(X0,xl),sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220596]) ).
tcf(c_238748,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xn),X0),sdtasdt0(sdtpldt0(xm,xn),sz00)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220569]) ).
tcf(c_238749,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xn),X0),sdtasdt0(sdtpldt0(xm,xn),xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220567]) ).
tcf(c_238750,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xn),X0),sdtasdt0(sdtpldt0(xm,xn),xm)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220566]) ).
tcf(c_238751,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xn),X0),sdtasdt0(sdtpldt0(xm,xn),xl)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_220565]) ).
tcf(c_238752,plain,
sdtpldt0(sdtpldt0(xm,xn),sK0(sdtpldt0(xm,xn),sdtpldt0(xm,xn))) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_238656,c_220435]) ).
tcf(c_238753,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xn),X0),sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_143]) ).
tcf(c_238754,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xn),X0) = sdtasdt0(X0,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_102]) ).
tcf(c_238755,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,xn)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_101]) ).
tcf(c_238756,plain,
sdtasdt0(sz00,sdtpldt0(xm,xn)) = sz00,
inference(superposition,[status(thm)],[c_238656,c_91]) ).
tcf(c_238757,plain,
sdtasdt0(sdtpldt0(xm,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_238656,c_90]) ).
tcf(c_238758,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xn),X0) = sdtpldt0(X0,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_75]) ).
tcf(c_238759,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xn)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_74]) ).
tcf(c_238760,plain,
sdtpldt0(sz00,sdtpldt0(xm,xn)) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_238656,c_73]) ).
tcf(c_238761,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,xn),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,xn)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_71]) ).
tcf(c_238762,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,xn))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_238656,c_70]) ).
tcf(c_238763,plain,
sdtpldt0(sdtpldt0(xm,xn),sz00) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_238656,c_72]) ).
tcf(c_239032,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(global_subsumption_just,[status(thm)],[c_221471,c_5100,c_17729]) ).
tcf(c_239034,plain,
aNaturalNumber0(sdtasdt0(xl,xq)),
inference(demodulation,[status(thm)],[c_238656,c_239032]) ).
tcf(c_239035,plain,
sdtpldt0(xn,xm) = sdtasdt0(xl,xq),
inference(demodulation,[status(thm)],[c_227225,c_239032]) ).
tcf(c_239036,plain,
sdtasdt0(xl,sK1(xl,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(demodulation,[status(thm)],[c_233100,c_239032]) ).
tcf(c_239037,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl) ),
inference(demodulation,[status(thm)],[c_230421,c_239032]) ).
tcf(c_239038,plain,
sdtpldt0(xm,sK0(xm,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(demodulation,[status(thm)],[c_222595,c_239032]) ).
tcf(c_239039,plain,
sdtsldt0(sdtasdt0(xl,xq),xl) = xq,
inference(demodulation,[status(thm)],[c_56,c_239032]) ).
tcf(c_239040,plain,
sdtlseqdt0(xm,sdtasdt0(xl,xq)),
inference(demodulation,[status(thm)],[c_57,c_239032]) ).
tcf(c_239041,plain,
doDivides0(xl,sdtasdt0(xl,xq)),
inference(demodulation,[status(thm)],[c_53,c_239032]) ).
tcf(c_239050,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_239032,c_66]) ).
tcf(c_239051,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_239032,c_68]) ).
tcf(c_239052,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_239032,c_62]) ).
tcf(c_239053,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_239032,c_60]) ).
tcf(c_239054,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_239032,c_77]) ).
tcf(c_239055,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_239032,c_69]) ).
tcf(c_239056,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_239032,c_60]) ).
tcf(c_239057,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_239032,c_62]) ).
tcf(c_239059,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xl,xq) != xm ) ),
inference(superposition,[status(thm)],[c_239032,c_220533]) ).
tcf(c_239060,plain,
( sdtlseqdt0(xn,sdtasdt0(xl,xq))
| ( xm = sz00 )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_239032,c_231796]) ).
tcf(c_239061,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xl,xq) != xn ) ),
inference(superposition,[status(thm)],[c_239032,c_221009]) ).
tcf(c_239062,plain,
sdtlseqdt0(xn,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_239060,c_104694,c_50]) ).
tcf(c_239063,plain,
sdtasdt0(xl,xq) != xn,
inference(forward_subsumption_resolution,[status(thm)],[c_239061,c_104694,c_50]) ).
tcf(c_239064,plain,
( ( xn = sz00 )
| ( sdtasdt0(xl,xq) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239059,c_51]) ).
tcf(c_239067,plain,
sdtasdt0(xl,xq) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_239050,c_104694,c_51,c_50]) ).
tcf(c_239068,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239055,c_51,c_50]) ).
tcf(c_239072,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239054,c_51,c_50]) ).
tcf(c_239077,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239051,c_51,c_50]) ).
tcf(c_239081,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239057,c_51,c_50]) ).
tcf(c_239086,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xq))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239056,c_51,c_50]) ).
tcf(c_239091,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xm,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239053,c_51,c_50]) ).
tcf(c_239096,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239052,c_51,c_50]) ).
tcf(c_239164,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| ( sdtpldt0(X2,sK0(X2,X1)) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_221491,c_98]) ).
tcf(c_239165,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK0(X0,X1)) = sz00 )
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_221296]) ).
tcf(c_239166,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X0 = X1 )
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ( sdtpldt0(sdtasdt0(X0,X2),sK0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))) = sdtasdt0(X1,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_234443]) ).
tcf(c_239167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X0 = X1 )
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ( sdtpldt0(sdtasdt0(X2,X0),sK0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))) = sdtasdt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_233482]) ).
tcf(c_239168,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),sz00) = sz00 )
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_221048]) ).
tcf(c_239169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ( sdtpldt0(sK0(X0,X1),X2) = sdtpldt0(X2,sK0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_220748]) ).
tcf(c_239170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ( sdtpldt0(sdtpldt0(X2,X3),sK0(X0,X1)) = sdtpldt0(X2,sdtpldt0(X3,sK0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_220719]) ).
tcf(c_239171,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK0(X0,X1)) = sK0(X0,X1) )
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_220626]) ).
tcf(c_239172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(sK0(X0,X1),X2)) = sdtasdt0(sdtpldt0(X3,sK0(X0,X1)),X2) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_220599]) ).
tcf(c_239173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sK0(X0,X1))) = sdtasdt0(X2,sdtpldt0(X3,sK0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_220568]) ).
tcf(c_239174,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),sz00) = sK0(X0,X1) )
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_220445]) ).
tcf(c_239175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ( sdtpldt0(sdtpldt0(X0,X2),sK0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))) = sdtpldt0(X1,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_222410]) ).
tcf(c_239176,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ( sdtpldt0(sdtpldt0(X2,X0),sK0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))) = sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_222310]) ).
tcf(c_239178,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_65]) ).
tcf(c_239182,plain,
( ( xn = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_221491,c_222853]) ).
tcf(c_239183,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_223407]) ).
tcf(c_239185,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239183,c_92]) ).
tcf(c_239265,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xq),X0),sdtasdt0(sdtasdt0(xl,xq),xp)) = sdtasdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_221399]) ).
tcf(c_239266,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,xq)),sdtasdt0(xp,sdtasdt0(xl,xq))) = sdtasdt0(sdtpldt0(X0,xp),sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_221398]) ).
tcf(c_239267,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,xq),X0),xp) = sdtpldt0(sdtasdt0(xl,xq),sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_221396]) ).
tcf(c_239268,plain,
sdtpldt0(sdtasdt0(xl,xq),xp) = sdtpldt0(xp,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_239034,c_221395]) ).
tcf(c_239269,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,xq),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_221295]) ).
tcf(c_239270,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(xl,xq),sK0(sdtasdt0(xl,xq),sdtasdt0(sdtasdt0(xl,xq),X0))) = sdtasdt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_233162]) ).
tcf(c_239271,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_221047]) ).
tcf(c_239272,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,xq),X0),sz00) = sdtpldt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220778]) ).
tcf(c_239273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(sdtasdt0(xl,xq),X0))) = sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(sdtasdt0(xl,xq),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220777]) ).
tcf(c_239274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sdtpldt0(sdtasdt0(xl,xq),X0),X1)) = sdtasdt0(sdtpldt0(X2,sdtpldt0(sdtasdt0(xl,xq),X0)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220776]) ).
tcf(c_239275,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(xl,xq),X0)) = sdtpldt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220775]) ).
tcf(c_239276,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(sdtasdt0(xl,xq),X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtpldt0(sdtasdt0(xl,xq),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220774]) ).
tcf(c_239277,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,xq),X0),X1) = sdtpldt0(X1,sdtpldt0(sdtasdt0(xl,xq),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220773]) ).
tcf(c_239278,plain,
sdtpldt0(sdtasdt0(xl,xq),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_239034,c_220749]) ).
tcf(c_239279,plain,
sdtpldt0(sdtasdt0(xl,xq),xn) = sdtpldt0(xn,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_239034,c_220747]) ).
tcf(c_239280,plain,
sdtpldt0(sdtasdt0(xl,xq),xm) = sdtpldt0(xm,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_239034,c_220746]) ).
tcf(c_239281,plain,
sdtpldt0(sdtasdt0(xl,xq),xl) = sdtpldt0(xl,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_239034,c_220745]) ).
tcf(c_239282,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,xq),X0),sz00) = sdtpldt0(sdtasdt0(xl,xq),sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220720]) ).
tcf(c_239283,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,xq),X0),xn) = sdtpldt0(sdtasdt0(xl,xq),sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220718]) ).
tcf(c_239284,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,xq),X0),xm) = sdtpldt0(sdtasdt0(xl,xq),sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220717]) ).
tcf(c_239285,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,xq),X0),xl) = sdtpldt0(sdtasdt0(xl,xq),sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220716]) ).
tcf(c_239286,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,xq)),sdtasdt0(sz00,sdtasdt0(xl,xq))) = sdtasdt0(sdtpldt0(X0,sz00),sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220600]) ).
tcf(c_239287,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,xq)),sdtasdt0(xn,sdtasdt0(xl,xq))) = sdtasdt0(sdtpldt0(X0,xn),sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220598]) ).
tcf(c_239288,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,xq)),sdtasdt0(xm,sdtasdt0(xl,xq))) = sdtasdt0(sdtpldt0(X0,xm),sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220597]) ).
tcf(c_239289,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,xq)),sdtasdt0(xl,sdtasdt0(xl,xq))) = sdtasdt0(sdtpldt0(X0,xl),sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220596]) ).
tcf(c_239290,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xq),X0),sdtasdt0(sdtasdt0(xl,xq),sz00)) = sdtasdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220569]) ).
tcf(c_239291,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xq),X0),sdtasdt0(sdtasdt0(xl,xq),xn)) = sdtasdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220567]) ).
tcf(c_239292,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xq),X0),sdtasdt0(sdtasdt0(xl,xq),xm)) = sdtasdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220566]) ).
tcf(c_239293,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xq),X0),sdtasdt0(sdtasdt0(xl,xq),xl)) = sdtasdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_220565]) ).
tcf(c_239294,plain,
sdtpldt0(sdtasdt0(xl,xq),sK0(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_239034,c_220435]) ).
tcf(c_239295,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,xq),X0),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_143]) ).
tcf(c_239296,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xq),X0) = sdtasdt0(X0,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_102]) ).
tcf(c_239297,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,xq)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_101]) ).
tcf(c_239298,plain,
sdtasdt0(sz00,sdtasdt0(xl,xq)) = sz00,
inference(superposition,[status(thm)],[c_239034,c_91]) ).
tcf(c_239299,plain,
sdtasdt0(sdtasdt0(xl,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_239034,c_90]) ).
tcf(c_239300,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,xq),X0) = sdtpldt0(X0,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_75]) ).
tcf(c_239301,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,xq)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_74]) ).
tcf(c_239302,plain,
sdtpldt0(sz00,sdtasdt0(xl,xq)) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_239034,c_73]) ).
tcf(c_239303,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xl,xq),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xl,xq)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_71]) ).
tcf(c_239304,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xl,xq))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_70]) ).
tcf(c_239305,plain,
sdtpldt0(sdtasdt0(xl,xq),sz00) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_239034,c_72]) ).
tcf(c_239627,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)
| ~ sdtlseqdt0(X0,sdtpldt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221521,c_76,c_76]) ).
tcf(c_239652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtpldt0(X0,X2))
| ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),X3)) = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_221491,c_239627]) ).
tcf(c_239654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X0,X3))
| ( X2 = X3 )
| ( X1 = X2 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_239627]) ).
tcf(c_239655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3))
| ( X1 = X3 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_239627]) ).
tcf(c_239656,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtpldt0(X2,X1))
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_136,c_239627]) ).
tcf(c_239657,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))
| ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_100,c_239627]) ).
tcf(c_239658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtpldt0(X0,X2))
| sdtlseqdt0(sdtpldt0(X0,X1),X3)
| ( X1 = X2 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_97,c_239627]) ).
tcf(c_239659,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xm,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_232637,c_239627]) ).
tcf(c_239660,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xl,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_235047,c_239627]) ).
tcf(c_239661,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xl,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_237279,c_239627]) ).
tcf(c_239662,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X1))
| ( X0 = X1 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_223116,c_239627]) ).
tcf(c_239663,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X1))
| ( X0 = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_226002,c_239627]) ).
tcf(c_239664,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X1))
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_223422,c_239627]) ).
tcf(c_239665,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X1))
| ( X0 = X1 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_225602,c_239627]) ).
tcf(c_239666,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X1))
| ( X0 = xl )
| ( X0 = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_220835,c_239627]) ).
tcf(c_239667,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X1))
| ( X0 = xm )
| ( X0 = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_220878,c_239627]) ).
tcf(c_239668,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X1))
| ( X0 = xn )
| ( X0 = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_221027,c_239627]) ).
tcf(c_239669,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_226131,c_239627]) ).
tcf(c_239670,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,X1))
| ( X1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_220514,c_239627]) ).
tcf(c_239671,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,X1))
| ( X1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_220552,c_239627]) ).
tcf(c_239672,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( X1 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_220665,c_239627]) ).
tcf(c_239673,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,sdtpldt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_229378,c_239627]) ).
tcf(c_239674,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,sdtpldt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_230093,c_239627]) ).
tcf(c_239675,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_231796,c_239627]) ).
tcf(c_239676,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xl,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_236341,c_239627]) ).
tcf(c_239677,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_232639,c_239627]) ).
tcf(c_239678,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_237280,c_239627]) ).
tcf(c_239679,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,X1))
| ( X1 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X1)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239032,c_239627]) ).
tcf(c_239680,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_220446,c_239627]) ).
tcf(c_239681,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_220442,c_239627]) ).
tcf(c_239682,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_220443,c_239627]) ).
tcf(c_239683,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_220444,c_239627]) ).
tcf(c_239684,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ( X1 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_220623,c_239627]) ).
tcf(c_239685,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ( X1 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_220624,c_239627]) ).
tcf(c_239686,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ( X1 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X1)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_220625,c_239627]) ).
tcf(c_239687,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,X1))
| ( X1 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_227110,c_239627]) ).
tcf(c_239688,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,X1))
| ( X1 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_227111,c_239627]) ).
tcf(c_239689,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ( X1 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_221397,c_239627]) ).
tcf(c_239690,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_221400,c_239627]) ).
tcf(c_239691,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xl,X0))
| ( sK0(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xl)
| ~ aNaturalNumber0(sK0(xl,xl))
| ~ sdtlseqdt0(sK0(xl,xl),X0) ),
inference(superposition,[status(thm)],[c_222697,c_239627]) ).
tcf(c_239692,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xm,X0))
| ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(sK0(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_222698,c_239627]) ).
tcf(c_239693,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xn,X0))
| ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(sK0(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_222699,c_239627]) ).
tcf(c_239694,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,X1))
| ( X1 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_227119,c_239627]) ).
tcf(c_239695,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xp,X0))
| ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(sK0(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_222706,c_239627]) ).
tcf(c_239696,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ( X1 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X1)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_225874,c_239627]) ).
tcf(c_239697,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_225877,c_239627]) ).
tcf(c_239698,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,X1))
| ( X1 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_227118,c_239627]) ).
tcf(c_239699,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xq,X0))
| ( sK0(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(sK0(xq,xq))
| ~ sdtlseqdt0(sK0(xq,xq),X0) ),
inference(superposition,[status(thm)],[c_225866,c_239627]) ).
tcf(c_239700,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xl,X0))
| ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(sK0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_225375,c_239627]) ).
tcf(c_239701,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239678,c_221332,c_49]) ).
tcf(c_239706,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239677,c_50,c_49]) ).
tcf(c_239711,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xl,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239676,c_225856,c_49]) ).
tcf(c_239716,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X1))
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239665,c_51]) ).
tcf(c_239722,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X1))
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239663,c_92]) ).
tcf(c_239728,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X1))
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239662,c_49]) ).
tcf(c_239734,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xl,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239661,c_221332,c_49]) ).
tcf(c_239739,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xl,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239660,c_51,c_49]) ).
tcf(c_239744,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xm,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239659,c_50,c_49]) ).
tcf(c_239755,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239680,c_92]) ).
tcf(c_239762,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239675,c_51]) ).
tcf(c_239769,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,sdtpldt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239674,c_50]) ).
tcf(c_239776,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,sdtpldt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239673,c_49]) ).
tcf(c_239783,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239669,c_92]) ).
tcf(c_239790,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X1))
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239664,c_50]) ).
tcf(c_239797,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239697,c_225856,c_92]) ).
tcf(c_239804,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ( X1 = xq )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X1)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239696,c_225856,c_92]) ).
tcf(c_239811,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239690,c_221332,c_92]) ).
tcf(c_239818,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ( X1 = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239689,c_221332,c_92]) ).
tcf(c_239825,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ( X1 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X1)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239686,c_92,c_51]) ).
tcf(c_239832,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ( X1 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239685,c_92,c_50]) ).
tcf(c_239839,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ( X1 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239684,c_92,c_49]) ).
tcf(c_239846,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239683,c_92,c_51]) ).
tcf(c_239853,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239682,c_92,c_50]) ).
tcf(c_239860,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239681,c_92,c_49]) ).
tcf(c_239874,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,X1))
| ( X1 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239698,c_225856,c_49]) ).
tcf(c_239881,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,X1))
| ( X1 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239694,c_221332,c_49]) ).
tcf(c_239888,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,X1))
| ( X1 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239688,c_51,c_49]) ).
tcf(c_239895,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,X1))
| ( X1 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239687,c_50,c_49]) ).
tcf(c_239902,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,X1))
| ( X1 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X1)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239679,c_51,c_50]) ).
tcf(c_239909,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( X1 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239672,c_92,c_51]) ).
tcf(c_239917,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,X1))
| ( X1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239671,c_92,c_50]) ).
tcf(c_239925,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,X1))
| ( X1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239670,c_92,c_49]) ).
tcf(c_239933,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X1))
| ( X0 = xn )
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239668,c_92,c_51]) ).
tcf(c_239941,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X1))
| ( X0 = xm )
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239667,c_92,c_50]) ).
tcf(c_239949,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X1))
| ( X0 = xl )
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239666,c_92,c_49]) ).
tcf(c_239957,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xl,X0))
| ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(sK0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239700,c_49]) ).
tcf(c_239965,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xq,X0))
| ( sK0(xq,xq) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(sK0(xq,xq))
| ~ sdtlseqdt0(sK0(xq,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239699,c_225856]) ).
tcf(c_239973,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xp,X0))
| ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(sK0(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239695,c_221332]) ).
tcf(c_239981,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xn,X0))
| ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(sK0(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239693,c_51]) ).
tcf(c_239989,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xm,X0))
| ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(sK0(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239692,c_50]) ).
tcf(c_239997,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xl,X0))
| ( sK0(xl,xl) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xl)
| ~ aNaturalNumber0(sK0(xl,xl))
| ~ sdtlseqdt0(sK0(xl,xl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_239691,c_49]) ).
tcf(c_240168,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)
| ~ sdtlseqdt0(X0,sdtpldt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221522,c_76,c_76]) ).
tcf(c_240193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtpldt0(X2,X1))
| ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),X3)) = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_221491,c_240168]) ).
tcf(c_240195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X3,X2))
| ( X1 = X2 )
| ( X0 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X3)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_240168]) ).
tcf(c_240196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X3,X1))
| ( X2 = X3 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_240168]) ).
tcf(c_240197,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_136,c_240168]) ).
tcf(c_240198,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_100,c_240168]) ).
tcf(c_240199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X0,X1),X3)
| ( X0 = X2 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_97,c_240168]) ).
tcf(c_240200,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,xl))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_232637,c_240168]) ).
tcf(c_240201,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_235047,c_240168]) ).
tcf(c_240202,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_237279,c_240168]) ).
tcf(c_240203,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,X1))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_223116,c_240168]) ).
tcf(c_240204,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_226002,c_240168]) ).
tcf(c_240205,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,X1))
| ( X1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_223422,c_240168]) ).
tcf(c_240206,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_225602,c_240168]) ).
tcf(c_240207,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,sdtpldt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_220835,c_240168]) ).
tcf(c_240208,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,sdtpldt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_220878,c_240168]) ).
tcf(c_240209,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_221027,c_240168]) ).
tcf(c_240210,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X1,sz00))
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_226131,c_240168]) ).
tcf(c_240211,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,sdtpldt0(X1,sz00))
| ( X0 = xl )
| ( X0 = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_220514,c_240168]) ).
tcf(c_240212,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,sdtpldt0(X1,sz00))
| ( X0 = xm )
| ( X0 = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_220552,c_240168]) ).
tcf(c_240213,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(X1,sz00))
| ( X0 = xn )
| ( X0 = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_220665,c_240168]) ).
tcf(c_240214,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,sdtpldt0(X1,xl))
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_229378,c_240168]) ).
tcf(c_240215,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,sdtpldt0(X1,xm))
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_230093,c_240168]) ).
tcf(c_240216,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(X1,xn))
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_231796,c_240168]) ).
tcf(c_240217,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xq))
| ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_236341,c_240168]) ).
tcf(c_240218,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xl))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_232639,c_240168]) ).
tcf(c_240219,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_237280,c_240168]) ).
tcf(c_240220,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xn))
| ( X1 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239032,c_240168]) ).
tcf(c_240221,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sz00))
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_220446,c_240168]) ).
tcf(c_240222,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sz00))
| ( X1 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_220442,c_240168]) ).
tcf(c_240223,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sz00))
| ( X1 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_220443,c_240168]) ).
tcf(c_240224,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sz00))
| ( X1 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X1)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_220444,c_240168]) ).
tcf(c_240225,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xl))
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_220623,c_240168]) ).
tcf(c_240226,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xm))
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_220624,c_240168]) ).
tcf(c_240227,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xn))
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_220625,c_240168]) ).
tcf(c_240228,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xm))
| ( X1 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_227110,c_240168]) ).
tcf(c_240229,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xl))
| ( X1 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_227111,c_240168]) ).
tcf(c_240230,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xp))
| ( X1 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_221397,c_240168]) ).
tcf(c_240231,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sz00))
| ( X1 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_221400,c_240168]) ).
tcf(c_240232,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sK0(xl,xl)))
| ( X1 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK0(xl,xl)) ),
inference(superposition,[status(thm)],[c_222697,c_240168]) ).
tcf(c_240233,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sK0(xm,xm)))
| ( X1 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(superposition,[status(thm)],[c_222698,c_240168]) ).
tcf(c_240234,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sK0(xn,xn)))
| ( X1 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X1)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(superposition,[status(thm)],[c_222699,c_240168]) ).
tcf(c_240235,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xl))
| ( X1 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_227119,c_240168]) ).
tcf(c_240236,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sK0(xp,xp)))
| ( X1 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(superposition,[status(thm)],[c_222706,c_240168]) ).
tcf(c_240237,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xq))
| ( X1 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_225874,c_240168]) ).
tcf(c_240238,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sz00))
| ( X1 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X1)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_225877,c_240168]) ).
tcf(c_240239,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xl))
| ( X1 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_227118,c_240168]) ).
tcf(c_240240,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sK0(xq,xq)))
| ( X1 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X1)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,xq)) ),
inference(superposition,[status(thm)],[c_225866,c_240168]) ).
tcf(c_240241,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sK0(xl,xm)))
| ( X1 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xl,xm)) ),
inference(superposition,[status(thm)],[c_225375,c_240168]) ).
tcf(c_240242,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240219,c_221332,c_49]) ).
tcf(c_240247,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xl))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240218,c_50,c_49]) ).
tcf(c_240252,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xq))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240217,c_225856,c_49]) ).
tcf(c_240257,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240206,c_51]) ).
tcf(c_240263,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240204,c_92]) ).
tcf(c_240269,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,X1))
| ( X0 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240203,c_49]) ).
tcf(c_240275,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240202,c_221332,c_49]) ).
tcf(c_240280,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240201,c_51,c_49]) ).
tcf(c_240285,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,xl))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240200,c_50,c_49]) ).
tcf(c_240296,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sz00))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240221,c_92]) ).
tcf(c_240303,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(X1,xn))
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240216,c_51]) ).
tcf(c_240310,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,sdtpldt0(X1,xm))
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240215,c_50]) ).
tcf(c_240317,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,sdtpldt0(X1,xl))
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240214,c_49]) ).
tcf(c_240324,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X1,sz00))
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240210,c_92]) ).
tcf(c_240331,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,X1))
| ( X1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240205,c_50]) ).
tcf(c_240338,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sz00))
| ( X1 = xq )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X1)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240238,c_225856,c_92]) ).
tcf(c_240345,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xq))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240237,c_225856,c_92]) ).
tcf(c_240352,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sz00))
| ( X1 = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240231,c_221332,c_92]) ).
tcf(c_240359,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xp))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240230,c_221332,c_92]) ).
tcf(c_240366,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xn))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240227,c_92,c_51]) ).
tcf(c_240373,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xm))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240226,c_92,c_50]) ).
tcf(c_240380,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xl))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240225,c_92,c_49]) ).
tcf(c_240387,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sz00))
| ( X1 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X1)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240224,c_92,c_51]) ).
tcf(c_240394,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sz00))
| ( X1 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240223,c_92,c_50]) ).
tcf(c_240401,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sz00))
| ( X1 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240222,c_92,c_49]) ).
tcf(c_240415,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xl))
| ( X1 = xq )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240239,c_225856,c_49]) ).
tcf(c_240422,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xl))
| ( X1 = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240235,c_221332,c_49]) ).
tcf(c_240429,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xl))
| ( X1 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240229,c_51,c_49]) ).
tcf(c_240436,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xm))
| ( X1 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240228,c_50,c_49]) ).
tcf(c_240443,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xn))
| ( X1 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240220,c_51,c_50]) ).
tcf(c_240450,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sK0(xl,xm)))
| ( X1 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240241,c_49]) ).
tcf(c_240458,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sK0(xq,xq)))
| ( X1 = xq )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X1)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240240,c_225856]) ).
tcf(c_240466,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sK0(xp,xp)))
| ( X1 = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240236,c_221332]) ).
tcf(c_240474,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sK0(xn,xn)))
| ( X1 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X1)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240234,c_51]) ).
tcf(c_240482,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sK0(xm,xm)))
| ( X1 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240233,c_50]) ).
tcf(c_240490,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sK0(xl,xl)))
| ( X1 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK0(xl,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240232,c_49]) ).
tcf(c_240498,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(X1,sz00))
| ( X0 = xn )
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240213,c_92,c_51]) ).
tcf(c_240506,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,sdtpldt0(X1,sz00))
| ( X0 = xm )
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240212,c_92,c_50]) ).
tcf(c_240514,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,sdtpldt0(X1,sz00))
| ( X0 = xl )
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240211,c_92,c_49]) ).
tcf(c_240522,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240209,c_92,c_51]) ).
tcf(c_240530,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,sdtpldt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240208,c_92,c_50]) ).
tcf(c_240538,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,sdtpldt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240207,c_92,c_49]) ).
tcf(c_240694,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_221523,c_103,c_3455]) ).
tcf(c_240695,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ( X2 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(renaming,[status(thm)],[c_240694]) ).
tcf(c_240716,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz00)
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_222594,c_240695]) ).
tcf(c_240719,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz00)
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_223605,c_240695]) ).
tcf(c_240720,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_221469,c_240695]) ).
tcf(c_240721,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK1(xl,xm)) ),
inference(superposition,[status(thm)],[c_221078,c_240695]) ).
tcf(c_240722,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz00)
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK1(xl,sz00)) ),
inference(superposition,[status(thm)],[c_222589,c_240695]) ).
tcf(c_240723,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz00)
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_222542,c_240695]) ).
tcf(c_240724,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz00)
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_222172,c_240695]) ).
tcf(c_240725,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz00)
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_223600,c_240695]) ).
tcf(c_240728,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz00)
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(superposition,[status(thm)],[c_226954,c_240695]) ).
tcf(c_240729,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz00)
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_222547,c_240695]) ).
tcf(c_240730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_98]) ).
tcf(c_240731,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sz00,sK0(X2,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_221296]) ).
tcf(c_240732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = sz00 )
| ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X2 )
| ( sdtpldt0(sdtasdt0(X2,X3),sK0(sdtasdt0(X2,X3),sdtasdt0(sdtasdt0(X0,X1),X3))) = sdtasdt0(sdtasdt0(X0,X1),X3) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_234443]) ).
tcf(c_240733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = sz00 )
| ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X2 )
| ( sdtpldt0(sdtasdt0(X3,X2),sK0(sdtasdt0(X3,X2),sdtasdt0(X3,sdtasdt0(X0,X1)))) = sdtasdt0(X3,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_233482]) ).
tcf(c_240734,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sK0(X2,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_221048]) ).
tcf(c_240735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sK0(X2,sdtasdt0(X0,X1)),X3) = sdtpldt0(X3,sK0(X2,sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_220748]) ).
tcf(c_240736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sdtpldt0(X3,X4),sK0(X2,sdtasdt0(X0,X1))) = sdtpldt0(X3,sdtpldt0(X4,sK0(X2,sdtasdt0(X0,X1)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_220719]) ).
tcf(c_240737,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sz00,sK0(X2,sdtasdt0(X0,X1))) = sK0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_220626]) ).
tcf(c_240738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sdtasdt0(X4,X3),sdtasdt0(sK0(X2,sdtasdt0(X0,X1)),X3)) = sdtasdt0(sdtpldt0(X4,sK0(X2,sdtasdt0(X0,X1))),X3) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_220599]) ).
tcf(c_240739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sdtasdt0(X3,X4),sdtasdt0(X3,sK0(X2,sdtasdt0(X0,X1)))) = sdtasdt0(X3,sdtpldt0(X4,sK0(X2,sdtasdt0(X0,X1)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_220568]) ).
tcf(c_240740,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sK0(X2,sdtasdt0(X0,X1)),sz00) = sK0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_220445]) ).
tcf(c_240741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X2 )
| ( sdtpldt0(sdtpldt0(X2,X3),sK0(sdtpldt0(X2,X3),sdtpldt0(sdtasdt0(X0,X1),X3))) = sdtpldt0(sdtasdt0(X0,X1),X3) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_222410]) ).
tcf(c_240742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X2 )
| ( sdtpldt0(sdtpldt0(X3,X2),sK0(sdtpldt0(X3,X2),sdtpldt0(X3,sdtasdt0(X0,X1)))) = sdtpldt0(X3,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_222310]) ).
tcf(c_240743,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_240695,c_99]) ).
tcf(c_240744,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(X2,sK0(X2,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_65]) ).
tcf(c_240746,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz00)
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240729,c_50]) ).
tcf(c_240752,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz00)
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240728,c_225856]) ).
tcf(c_240758,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz00)
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240725,c_221332]) ).
tcf(c_240764,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz00)
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240724,c_51]) ).
tcf(c_240770,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz00)
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240723,c_50]) ).
tcf(c_240776,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz00)
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK1(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240722,c_49]) ).
tcf(c_240782,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK1(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240721,c_49]) ).
tcf(c_240788,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz00)
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240719,c_221332]) ).
tcf(c_240794,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz00)
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_240716,c_49]) ).
tcf(c_241115,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239040,c_98]) ).
tcf(c_241116,plain,
( ( sdtasdt0(sz00,sK0(xm,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239040,c_221296]) ).
tcf(c_241117,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = xm )
| ( sdtpldt0(sdtasdt0(xm,X0),sK0(sdtasdt0(xm,X0),sdtasdt0(sdtasdt0(xl,xq),X0))) = sdtasdt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239040,c_234443]) ).
tcf(c_241118,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = xm )
| ( sdtpldt0(sdtasdt0(X0,xm),sK0(sdtasdt0(X0,xm),sdtasdt0(X0,sdtasdt0(xl,xq)))) = sdtasdt0(X0,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239040,c_233482]) ).
tcf(c_241119,plain,
( ( sdtasdt0(sK0(xm,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239040,c_221048]) ).
tcf(c_241120,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xm,sdtasdt0(xl,xq)),X0) = sdtpldt0(X0,sK0(xm,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239040,c_220748]) ).
tcf(c_241121,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xm,sdtasdt0(xl,xq))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xm,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239040,c_220719]) ).
tcf(c_241122,plain,
( ( sdtpldt0(sz00,sK0(xm,sdtasdt0(xl,xq))) = sK0(xm,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239040,c_220626]) ).
tcf(c_241123,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xm,sdtasdt0(xl,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xm,sdtasdt0(xl,xq))),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239040,c_220599]) ).
tcf(c_241124,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xm,sdtasdt0(xl,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xm,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239040,c_220568]) ).
tcf(c_241125,plain,
( ( sdtpldt0(sK0(xm,sdtasdt0(xl,xq)),sz00) = sK0(xm,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239040,c_220445]) ).
tcf(c_241126,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = xm )
| ( sdtpldt0(sdtpldt0(xm,X0),sK0(sdtpldt0(xm,X0),sdtpldt0(sdtasdt0(xl,xq),X0))) = sdtpldt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239040,c_222410]) ).
tcf(c_241127,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = xm )
| ( sdtpldt0(sdtpldt0(X0,xm),sK0(sdtpldt0(X0,xm),sdtpldt0(X0,sdtasdt0(xl,xq)))) = sdtpldt0(X0,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239040,c_222310]) ).
tcf(c_241128,plain,
( ( sdtasdt0(xl,xq) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xm) ),
inference(superposition,[status(thm)],[c_239040,c_99]) ).
tcf(c_241130,plain,
sdtasdt0(sK0(xm,sdtasdt0(xl,xq)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_241119,c_50,c_239034]) ).
tcf(c_241131,plain,
sdtasdt0(sz00,sK0(xm,sdtasdt0(xl,xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_241116,c_50,c_239034]) ).
tcf(c_241132,plain,
( ( sdtasdt0(xl,xq) = xm )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241128,c_50,c_239034]) ).
tcf(c_241135,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241115,c_50,c_239034]) ).
tcf(c_241139,plain,
sdtpldt0(sK0(xm,sdtasdt0(xl,xq)),sz00) = sK0(xm,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_241125,c_50,c_239034]) ).
tcf(c_241140,plain,
sdtpldt0(sz00,sK0(xm,sdtasdt0(xl,xq))) = sK0(xm,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_241122,c_50,c_239034]) ).
tcf(c_241141,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xm,sdtasdt0(xl,xq)),X0) = sdtpldt0(X0,sK0(xm,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241120,c_50,c_239034]) ).
tcf(c_241144,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xm,sdtasdt0(xl,xq))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xm,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241121,c_50,c_239034]) ).
tcf(c_241148,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xm,sdtasdt0(xl,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xm,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241124,c_50,c_239034]) ).
tcf(c_241152,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xm,sdtasdt0(xl,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xm,sdtasdt0(xl,xq))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241123,c_50,c_239034]) ).
tcf(c_241156,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = xm )
| ( sdtpldt0(sdtpldt0(X0,xm),sK0(sdtpldt0(X0,xm),sdtpldt0(X0,sdtasdt0(xl,xq)))) = sdtpldt0(X0,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241127,c_50,c_239034]) ).
tcf(c_241160,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = xm )
| ( sdtpldt0(sdtpldt0(xm,X0),sK0(sdtpldt0(xm,X0),sdtpldt0(sdtasdt0(xl,xq),X0))) = sdtpldt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241126,c_50,c_239034]) ).
tcf(c_241164,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = xm )
| ( sdtpldt0(sdtasdt0(X0,xm),sK0(sdtasdt0(X0,xm),sdtasdt0(X0,sdtasdt0(xl,xq)))) = sdtasdt0(X0,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241118,c_50,c_239034]) ).
tcf(c_241169,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = xm )
| ( sdtpldt0(sdtasdt0(xm,X0),sK0(sdtasdt0(xm,X0),sdtasdt0(sdtasdt0(xl,xq),X0))) = sdtasdt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241117,c_50,c_239034]) ).
tcf(c_241179,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_78]) ).
tcf(c_241180,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(sdtpldt0(sdtasdt0(xl,xq),X0),xl)) = sdtpldt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_238499]) ).
tcf(c_241181,plain,
( ( xl = sz00 )
| ( sdtpldt0(sdtsldt0(sdtasdt0(xl,xq),xl),sz00) = sdtsldt0(sdtasdt0(xl,xq),xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_221331]) ).
tcf(c_241182,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(sdtasdt0(xl,xq),xl))) = sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(sdtasdt0(xl,xq),xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_221330]) ).
tcf(c_241183,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtsldt0(sdtasdt0(xl,xq),xl),X0)) = sdtasdt0(sdtpldt0(X1,sdtsldt0(sdtasdt0(xl,xq),xl)),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_221329]) ).
tcf(c_241184,plain,
( ( xl = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(sdtasdt0(xl,xq),xl)) = sdtsldt0(sdtasdt0(xl,xq),xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_221328]) ).
tcf(c_241185,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(sdtasdt0(xl,xq),xl)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(sdtasdt0(xl,xq),xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_221327]) ).
tcf(c_241186,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtsldt0(sdtasdt0(xl,xq),xl),X0) = sdtpldt0(X0,sdtsldt0(sdtasdt0(xl,xq),xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_221326]) ).
tcf(c_241187,plain,
( ( xl = sz00 )
| ( sdtasdt0(sdtsldt0(sdtasdt0(xl,xq),xl),sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_221325]) ).
tcf(c_241188,plain,
( ( xl = sz00 )
| ( sdtasdt0(sz00,sdtsldt0(sdtasdt0(xl,xq),xl)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_221324]) ).
tcf(c_241189,plain,
( ( sdtasdt0(sz00,sK1(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_221297]) ).
tcf(c_241190,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sK1(xl,sdtpldt0(sdtasdt0(xl,xq),X0))) = sdtpldt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_232957]) ).
tcf(c_241191,plain,
( ( sdtasdt0(sK1(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_221049]) ).
tcf(c_241192,plain,
( ( sdtpldt0(sK1(xl,sdtasdt0(xl,xq)),sz00) = sK1(xl,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_220958]) ).
tcf(c_241193,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xl,sdtasdt0(xl,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xl,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_220957]) ).
tcf(c_241194,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xl,sdtasdt0(xl,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xl,sdtasdt0(xl,xq))),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_220956]) ).
tcf(c_241195,plain,
( ( sdtpldt0(sz00,sK1(xl,sdtasdt0(xl,xq))) = sK1(xl,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_220955]) ).
tcf(c_241196,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xl,sdtasdt0(xl,xq))) = sdtpldt0(X0,sdtpldt0(X1,sK1(xl,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_220954]) ).
tcf(c_241197,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xl,sdtasdt0(xl,xq)),X0) = sdtpldt0(X0,sK1(xl,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_220953]) ).
tcf(c_241198,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(sdtasdt0(xl,xq),X1))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X1)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_230274]) ).
tcf(c_241199,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(sdtasdt0(xl,xq),xl)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_95]) ).
tcf(c_241201,plain,
sdtasdt0(sK1(xl,sdtasdt0(xl,xq)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_241191,c_49,c_239034]) ).
tcf(c_241202,plain,
sdtasdt0(sz00,sK1(xl,sdtasdt0(xl,xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_241189,c_49,c_239034]) ).
tcf(c_241204,plain,
sdtpldt0(sz00,sK1(xl,sdtasdt0(xl,xq))) = sK1(xl,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_241195,c_49,c_239034]) ).
tcf(c_241205,plain,
sdtpldt0(sK1(xl,sdtasdt0(xl,xq)),sz00) = sK1(xl,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_241192,c_49,c_239034]) ).
tcf(c_241211,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xl,sdtasdt0(xl,xq)),X0) = sdtpldt0(X0,sK1(xl,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241197,c_49,c_239034]) ).
tcf(c_241214,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(sdtasdt0(xl,xq),X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X1)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241198,c_49,c_239034]) ).
tcf(c_241220,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sK1(xl,sdtpldt0(sdtasdt0(xl,xq),X0))) = sdtpldt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241190,c_49,c_239034]) ).
tcf(c_241224,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(X0,xq) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(light_normalisation,[status(thm)],[c_241186,c_239039]) ).
tcf(c_241226,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xl,sdtasdt0(xl,xq))) = sdtpldt0(X0,sdtpldt0(X1,sK1(xl,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241196,c_49,c_239034]) ).
tcf(c_241230,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtsldt0(sdtpldt0(sdtasdt0(xl,xq),X0),xl)) = sdtpldt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241180,c_54,c_49,c_239034]) ).
tcf(c_241234,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xl,sdtasdt0(xl,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xl,sdtasdt0(xl,xq))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241194,c_49,c_239034]) ).
tcf(c_241238,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xl,sdtasdt0(xl,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xl,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241193,c_49,c_239034]) ).
tcf(c_241242,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtpldt0(X0,X1),xq) = sdtpldt0(X0,sdtpldt0(X1,xq)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(light_normalisation,[status(thm)],[c_241185,c_239039]) ).
tcf(c_241244,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(xq,X0)) = sdtasdt0(sdtpldt0(X1,xq),X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(light_normalisation,[status(thm)],[c_241183,c_239039]) ).
tcf(c_241246,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xq)) = sdtasdt0(X0,sdtpldt0(X1,xq)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(light_normalisation,[status(thm)],[c_241182,c_239039]) ).
tcf(c_241303,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)
| ~ sdtlseqdt0(X0,sdtasdt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221524,c_103,c_103]) ).
tcf(c_241331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtasdt0(X0,X2))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),X3)) = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_221491,c_241303]) ).
tcf(c_241333,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ( X2 = sz00 )
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_82,c_241303]) ).
tcf(c_241334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X3))
| ( X2 = X3 )
| ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_241303]) ).
tcf(c_241335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3))
| ( X2 = sz00 )
| ( X1 = sz00 )
| ( X1 = X3 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_241303]) ).
tcf(c_241336,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_100,c_241303]) ).
tcf(c_241337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtasdt0(X0,X2))
| sdtlseqdt0(sdtasdt0(X0,X1),X3)
| ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_97,c_241303]) ).
tcf(c_241338,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X1))
| ( xl = sz00 )
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_233984,c_241303]) ).
tcf(c_241339,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X1))
| ( xm = sz00 )
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_234125,c_241303]) ).
tcf(c_241340,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X1))
| ( xn = sz00 )
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_235480,c_241303]) ).
tcf(c_241341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,X3))
| ( X2 = sz00 )
| ( X2 = X3 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_240695,c_241303]) ).
tcf(c_241342,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_238333,c_241303]) ).
tcf(c_241343,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_239040,c_241303]) ).
tcf(c_241346,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,X1))
| ( xl = sz00 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_221044,c_241303]) ).
tcf(c_241347,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,X1))
| ( xm = sz00 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_221045,c_241303]) ).
tcf(c_241348,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,X1))
| ( xn = sz00 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_221046,c_241303]) ).
tcf(c_241352,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(sdtsldt0(sz00,xl),X0) ),
inference(superposition,[status(thm)],[c_222594,c_241303]) ).
tcf(c_241354,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,X1))
| ( sz00 = xp )
| ( X1 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_221394,c_241303]) ).
tcf(c_241355,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sdtsldt0(sz00,xp),X0) ),
inference(superposition,[status(thm)],[c_223605,c_241303]) ).
tcf(c_241356,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,X1))
| ( xl = sz00 )
| ( X1 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_221469,c_241303]) ).
tcf(c_241357,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( sK1(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sK1(xl,xm))
| ~ sdtlseqdt0(sK1(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_221078,c_241303]) ).
tcf(c_241358,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( sK1(xl,sz00) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ~ sdtlseqdt0(sK1(xl,sz00),X0) ),
inference(superposition,[status(thm)],[c_222589,c_241303]) ).
tcf(c_241359,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sK1(xm,sz00),X0) ),
inference(superposition,[status(thm)],[c_222542,c_241303]) ).
tcf(c_241360,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(sK1(xn,sz00),X0) ),
inference(superposition,[status(thm)],[c_222172,c_241303]) ).
tcf(c_241361,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sK1(xp,sz00),X0) ),
inference(superposition,[status(thm)],[c_223600,c_241303]) ).
tcf(c_241363,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,X1))
| ( sz00 = xq )
| ( X1 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_225871,c_241303]) ).
tcf(c_241364,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( sK1(xq,sz00) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ~ sdtlseqdt0(sK1(xq,sz00),X0) ),
inference(superposition,[status(thm)],[c_226954,c_241303]) ).
tcf(c_241365,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sdtsldt0(sz00,xm),X0) ),
inference(superposition,[status(thm)],[c_222547,c_241303]) ).
tcf(c_241366,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241343,c_54,c_225856,c_50,c_49]) ).
tcf(c_241371,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241342,c_92,c_49]) ).
tcf(c_241386,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,X1))
| ( sz00 = xq )
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241363,c_225856,c_92]) ).
tcf(c_241394,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,X1))
| ( X1 = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241356,c_54,c_221332,c_49]) ).
tcf(c_241401,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241354,c_124385,c_221332,c_92]) ).
tcf(c_241408,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,X1))
| ( xn = sz00 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241348,c_92,c_51]) ).
tcf(c_241416,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241347,c_104694,c_92,c_50]) ).
tcf(c_241423,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241346,c_54,c_92,c_49]) ).
tcf(c_241430,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X1))
| ( xn = sz00 )
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241340,c_92,c_51]) ).
tcf(c_241438,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X1))
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241339,c_104694,c_92,c_50]) ).
tcf(c_241445,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X1))
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241338,c_54,c_92,c_49]) ).
tcf(c_241470,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xm,X0))
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sdtsldt0(sz00,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241365,c_104694,c_50]) ).
tcf(c_241478,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( sK1(xq,sz00) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ~ sdtlseqdt0(sK1(xq,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241364,c_225856]) ).
tcf(c_241487,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xp,X0))
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sK1(xp,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241361,c_124385,c_221332]) ).
tcf(c_241495,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(sK1(xn,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241360,c_51]) ).
tcf(c_241504,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xm,X0))
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sK1(xm,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241359,c_104694,c_50]) ).
tcf(c_241512,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xl,X0))
| ( sK1(xl,sz00) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ~ sdtlseqdt0(sK1(xl,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241358,c_54,c_49]) ).
tcf(c_241520,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xl,X0))
| ( sK1(xl,xm) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sK1(xl,xm))
| ~ sdtlseqdt0(sK1(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241357,c_54,c_49]) ).
tcf(c_241528,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xp,X0))
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sdtsldt0(sz00,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241355,c_124385,c_221332]) ).
tcf(c_241536,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xl,X0))
| ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(sdtsldt0(sz00,xl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241352,c_54,c_49]) ).
tcf(c_241605,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)
| ~ sdtlseqdt0(X0,sdtasdt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221525,c_103,c_103]) ).
tcf(c_241633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtasdt0(X2,X1))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),X3)) = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_221491,c_241605]) ).
tcf(c_241635,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ( X2 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_82,c_241605]) ).
tcf(c_241636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X3,X2))
| ( X2 = sz00 )
| ( X1 = X2 )
| ( X0 = sz00 )
| ( X0 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X3)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_241605]) ).
tcf(c_241637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X3,X1))
| ( X2 = X3 )
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_241605]) ).
tcf(c_241638,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_100,c_241605]) ).
tcf(c_241639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtasdt0(X2,X1))
| sdtlseqdt0(sdtasdt0(X0,X1),X3)
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_97,c_241605]) ).
tcf(c_241640,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_233984,c_241605]) ).
tcf(c_241641,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_234125,c_241605]) ).
tcf(c_241642,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( xn = sz00 )
| ( X1 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_235480,c_241605]) ).
tcf(c_241643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,sdtasdt0(X2,X3))
| ( X3 = sz00 )
| ( X1 = X2 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_240695,c_241605]) ).
tcf(c_241644,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X1,xl))
| ( xl = sz00 )
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_238333,c_241605]) ).
tcf(c_241645,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_239040,c_241605]) ).
tcf(c_241647,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sK1(sz00,sz00)))
| ( X1 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_222168,c_241605]) ).
tcf(c_241651,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,xl))
| ( xl = sz00 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_221292,c_241605]) ).
tcf(c_241652,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,xm))
| ( xm = sz00 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_221293,c_241605]) ).
tcf(c_241653,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,xn))
| ( xn = sz00 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_221294,c_241605]) ).
tcf(c_241654,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sdtsldt0(sz00,xl)))
| ( X1 = xl )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_222594,c_241605]) ).
tcf(c_241655,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,xp))
| ( sz00 = xp )
| ( X1 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_221393,c_241605]) ).
tcf(c_241657,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sdtsldt0(sz00,xp)))
| ( X1 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_223605,c_241605]) ).
tcf(c_241658,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,xp))
| ( sz00 = xp )
| ( X1 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_221469,c_241605]) ).
tcf(c_241659,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sK1(xl,xm)))
| ( X1 = xl )
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xl,xm)) ),
inference(superposition,[status(thm)],[c_221078,c_241605]) ).
tcf(c_241660,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sK1(xl,sz00)))
| ( X1 = xl )
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(xl,sz00)) ),
inference(superposition,[status(thm)],[c_222589,c_241605]) ).
tcf(c_241661,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sK1(xm,sz00)))
| ( X1 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_222542,c_241605]) ).
tcf(c_241662,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sK1(xn,sz00)))
| ( X1 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_222172,c_241605]) ).
tcf(c_241663,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sK1(xp,sz00)))
| ( X1 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_223600,c_241605]) ).
tcf(c_241664,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,xq))
| ( sz00 = xq )
| ( X1 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_225870,c_241605]) ).
tcf(c_241666,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sK1(xq,sz00)))
| ( X1 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(superposition,[status(thm)],[c_226954,c_241605]) ).
tcf(c_241667,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sdtsldt0(sz00,xm)))
| ( X1 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_222547,c_241605]) ).
tcf(c_241675,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241645,c_225856,c_50,c_49]) ).
tcf(c_241681,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241641,c_92,c_50]) ).
tcf(c_241688,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241640,c_92,c_49]) ).
tcf(c_241695,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,xq))
| ( sz00 = xq )
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241664,c_225856,c_92]) ).
tcf(c_241703,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,xp))
| ( X1 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241658,c_124385,c_221332,c_49]) ).
tcf(c_241710,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,xp))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241655,c_124385,c_221332,c_92]) ).
tcf(c_241717,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,xn))
| ( xn = sz00 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241653,c_92,c_51]) ).
tcf(c_241725,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,xm))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241652,c_104694,c_92,c_50]) ).
tcf(c_241732,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,xl))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241651,c_54,c_92,c_49]) ).
tcf(c_241739,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X1,xl))
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241644,c_54,c_92,c_49]) ).
tcf(c_241755,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( xn = sz00 )
| ( X1 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241642,c_92,c_51]) ).
tcf(c_241771,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sdtsldt0(sz00,xm)))
| ( X1 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241667,c_50]) ).
tcf(c_241780,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sK1(xq,sz00)))
| ( X1 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241666,c_225856]) ).
tcf(c_241789,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sK1(xp,sz00)))
| ( X1 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241663,c_221332]) ).
tcf(c_241798,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sK1(xn,sz00)))
| ( X1 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241662,c_51]) ).
tcf(c_241807,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sK1(xm,sz00)))
| ( X1 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241661,c_50]) ).
tcf(c_241816,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sK1(xl,sz00)))
| ( X1 = xl )
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241660,c_49]) ).
tcf(c_241825,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sK1(xl,xm)))
| ( X1 = xl )
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241659,c_49]) ).
tcf(c_241834,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sdtsldt0(sz00,xp)))
| ( X1 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241657,c_221332]) ).
tcf(c_241843,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sdtsldt0(sz00,xl)))
| ( X1 = xl )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241654,c_49]) ).
tcf(c_241852,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,sK1(sz00,sz00)))
| ( X1 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X1)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241647,c_92]) ).
tcf(c_241959,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X2)
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_221527]) ).
tcf(c_241960,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_221527]) ).
tcf(c_241961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtpldt0(X0,X2))
| sdtlseqdt0(sdtpldt0(X0,X1),X3)
| ( X1 = X2 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_221527]) ).
tcf(c_241962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X0,X1),X3)
| ( X0 = X2 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_221527]) ).
tcf(c_241963,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_221527]) ).
tcf(c_241964,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_221527]) ).
tcf(c_241965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtasdt0(X0,X2))
| sdtlseqdt0(sdtasdt0(X0,X1),X3)
| ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_221527]) ).
tcf(c_241966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtasdt0(X2,X1))
| sdtlseqdt0(sdtasdt0(X0,X1),X3)
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_221527]) ).
tcf(c_241968,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_221527]) ).
tcf(c_241969,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221440,c_221527]) ).
tcf(c_241970,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222115,c_221527]) ).
tcf(c_241971,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222114,c_221527]) ).
tcf(c_241972,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222113,c_221527]) ).
tcf(c_241973,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222112,c_221527]) ).
tcf(c_241974,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222111,c_221527]) ).
tcf(c_241975,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222110,c_221527]) ).
tcf(c_241976,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225405,c_221527]) ).
tcf(c_241977,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226977,c_221527]) ).
tcf(c_241978,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_221527]) ).
tcf(c_241979,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_221527]) ).
tcf(c_241980,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223873,c_221527]) ).
tcf(c_241981,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_224410,c_221527]) ).
tcf(c_241982,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_221527]) ).
tcf(c_241983,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_227416,c_221527]) ).
tcf(c_241984,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,X1)
| sdtlseqdt0(X1,sdtpldt0(xl,X0))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_221527]) ).
tcf(c_241985,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_221527]) ).
tcf(c_241986,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X1,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_221527]) ).
tcf(c_241987,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtpldt0(xn,X0))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_221527]) ).
tcf(c_241988,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,X1)
| sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_221527]) ).
tcf(c_241989,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_221527]) ).
tcf(c_241990,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_221527]) ).
tcf(c_241991,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xl)
| sdtlseqdt0(sdtpldt0(sz00,X0),X1)
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_221527]) ).
tcf(c_241992,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),X1)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_221527]) ).
tcf(c_241993,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(sdtpldt0(sz00,X0),X1)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_221527]) ).
tcf(c_241994,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_221527]) ).
tcf(c_241995,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,X1)
| sdtlseqdt0(X1,sdtpldt0(X0,sz00))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_221527]) ).
tcf(c_241996,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X1,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_221527]) ).
tcf(c_241997,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_221527]) ).
tcf(c_241998,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,X1)
| sdtlseqdt0(X1,sdtpldt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_221527]) ).
tcf(c_241999,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X1,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_221527]) ).
tcf(c_242000,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_221527]) ).
tcf(c_242001,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xl)
| sdtlseqdt0(sdtpldt0(X0,sz00),X1)
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_221527]) ).
tcf(c_242002,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(sdtpldt0(X0,sz00),X1)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_221527]) ).
tcf(c_242003,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(sdtpldt0(X0,sz00),X1)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_221527]) ).
tcf(c_242004,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225018,c_221527]) ).
tcf(c_242005,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtasdt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_221527]) ).
tcf(c_242006,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtasdt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_221527]) ).
tcf(c_242007,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_221527]) ).
tcf(c_242008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_221527]) ).
tcf(c_242009,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtasdt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_221527]) ).
tcf(c_242010,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_221527]) ).
tcf(c_242011,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_221527]) ).
tcf(c_242012,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239040,c_221527]) ).
tcf(c_242013,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_221527]) ).
tcf(c_242014,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241983,c_225856]) ).
tcf(c_242018,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241981,c_221332]) ).
tcf(c_242022,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241972,c_51]) ).
tcf(c_242026,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241971,c_50]) ).
tcf(c_242030,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241970,c_49]) ).
tcf(c_242034,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241969,c_92]) ).
tcf(c_242038,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242004,c_50,c_49]) ).
tcf(c_242042,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241980,c_221332,c_92]) ).
tcf(c_242046,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241977,c_225856,c_92]) ).
tcf(c_242050,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241976,c_225856,c_221332]) ).
tcf(c_242054,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241975,c_92,c_51]) ).
tcf(c_242058,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241974,c_92,c_50]) ).
tcf(c_242062,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241973,c_92,c_49]) ).
tcf(c_242078,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242013,c_49,c_237278]) ).
tcf(c_242082,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242012,c_50,c_239034]) ).
tcf(c_242086,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242011,c_50,c_232638]) ).
tcf(c_242090,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242010,c_225856,c_236340]) ).
tcf(c_242094,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241982,c_221332,c_237278]) ).
tcf(c_242098,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241979,c_51,c_235048]) ).
tcf(c_242102,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241978,c_49,c_232638]) ).
tcf(c_242106,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtpldt0(xn,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241987,c_51]) ).
tcf(c_242112,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241985,c_92]) ).
tcf(c_242118,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,X1)
| sdtlseqdt0(X1,sdtpldt0(xl,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241984,c_49]) ).
tcf(c_242136,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtasdt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242009,c_92]) ).
tcf(c_242143,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtasdt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242006,c_92]) ).
tcf(c_242150,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtasdt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242005,c_92]) ).
tcf(c_242157,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242000,c_51]) ).
tcf(c_242164,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X1,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241999,c_50]) ).
tcf(c_242171,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,X1)
| sdtlseqdt0(X1,sdtpldt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241998,c_49]) ).
tcf(c_242178,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241994,c_92]) ).
tcf(c_242185,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X1,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241986,c_50]) ).
tcf(c_242199,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242007,c_92]) ).
tcf(c_242207,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(sdtpldt0(X0,sz00),X1)
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242003,c_51]) ).
tcf(c_242215,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(sdtpldt0(X0,sz00),X1)
| ( X0 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242002,c_50]) ).
tcf(c_242223,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xl)
| sdtlseqdt0(sdtpldt0(X0,sz00),X1)
| ( X0 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242001,c_49]) ).
tcf(c_242231,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241997,c_51]) ).
tcf(c_242239,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X1,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241996,c_50]) ).
tcf(c_242247,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,X1)
| sdtlseqdt0(X1,sdtpldt0(X0,sz00))
| ( X0 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241995,c_49]) ).
tcf(c_242255,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(sdtpldt0(sz00,X0),X1)
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241993,c_51]) ).
tcf(c_242263,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),X1)
| ( X0 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241992,c_50]) ).
tcf(c_242271,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xl)
| sdtlseqdt0(sdtpldt0(sz00,X0),X1)
| ( X0 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241991,c_49]) ).
tcf(c_242279,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241990,c_51]) ).
tcf(c_242287,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241989,c_50]) ).
tcf(c_242295,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,X1)
| sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241988,c_49]) ).
tcf(c_242519,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_98]) ).
tcf(c_242520,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_221527]) ).
tcf(c_242521,plain,
( ( sdtasdt0(sz00,sK0(xn,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_221296]) ).
tcf(c_242522,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = xn )
| ( sdtpldt0(sdtasdt0(xn,X0),sK0(sdtasdt0(xn,X0),sdtasdt0(sdtasdt0(xl,xq),X0))) = sdtasdt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_234443]) ).
tcf(c_242523,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = xn )
| ( sdtpldt0(sdtasdt0(X0,xn),sK0(sdtasdt0(X0,xn),sdtasdt0(X0,sdtasdt0(xl,xq)))) = sdtasdt0(X0,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_233482]) ).
tcf(c_242524,plain,
( ( sdtasdt0(sK0(xn,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_221048]) ).
tcf(c_242525,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xn,sdtasdt0(xl,xq)),X0) = sdtpldt0(X0,sK0(xn,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_220748]) ).
tcf(c_242526,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xn,sdtasdt0(xl,xq))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xn,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_220719]) ).
tcf(c_242527,plain,
( ( sdtpldt0(sz00,sK0(xn,sdtasdt0(xl,xq))) = sK0(xn,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_220626]) ).
tcf(c_242528,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xn,sdtasdt0(xl,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xn,sdtasdt0(xl,xq))),X0) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_220599]) ).
tcf(c_242529,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xn,sdtasdt0(xl,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xn,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_220568]) ).
tcf(c_242530,plain,
( ( sdtpldt0(sK0(xn,sdtasdt0(xl,xq)),sz00) = sK0(xn,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_220445]) ).
tcf(c_242531,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = xn )
| ( sdtpldt0(sdtpldt0(xn,X0),sK0(sdtpldt0(xn,X0),sdtpldt0(sdtasdt0(xl,xq),X0))) = sdtpldt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_222410]) ).
tcf(c_242532,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = xn )
| ( sdtpldt0(sdtpldt0(X0,xn),sK0(sdtpldt0(X0,xn),sdtpldt0(X0,sdtasdt0(xl,xq)))) = sdtpldt0(X0,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_222310]) ).
tcf(c_242533,plain,
( ( sdtasdt0(xl,xq) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xn) ),
inference(superposition,[status(thm)],[c_239062,c_99]) ).
tcf(c_242534,plain,
( ( sdtpldt0(xn,sK0(xn,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_65]) ).
tcf(c_242535,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_239062,c_241605]) ).
tcf(c_242536,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_239062,c_241303]) ).
tcf(c_242537,plain,
sdtasdt0(sK0(xn,sdtasdt0(xl,xq)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_242524,c_51,c_239034]) ).
tcf(c_242538,plain,
sdtasdt0(sz00,sK0(xn,sdtasdt0(xl,xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_242521,c_51,c_239034]) ).
tcf(c_242539,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242520,c_51,c_239034]) ).
tcf(c_242543,plain,
sdtpldt0(xn,sK0(xn,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_242534,c_51,c_239034]) ).
tcf(c_242544,plain,
( ( sdtasdt0(xl,xq) = xn )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242533,c_51,c_239034]) ).
tcf(c_242547,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242519,c_51,c_239034]) ).
tcf(c_242551,plain,
sdtpldt0(sK0(xn,sdtasdt0(xl,xq)),sz00) = sK0(xn,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_242530,c_51,c_239034]) ).
tcf(c_242552,plain,
sdtpldt0(sz00,sK0(xn,sdtasdt0(xl,xq))) = sK0(xn,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_242527,c_51,c_239034]) ).
tcf(c_242553,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xn,sdtasdt0(xl,xq)),X0) = sdtpldt0(X0,sK0(xn,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242525,c_51,c_239034]) ).
tcf(c_242556,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xl,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242536,c_54,c_225856,c_51,c_49]) ).
tcf(c_242561,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242535,c_225856,c_51,c_49]) ).
tcf(c_242567,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xn,sdtasdt0(xl,xq))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xn,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242526,c_51,c_239034]) ).
tcf(c_242571,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xn,sdtasdt0(xl,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xn,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242529,c_51,c_239034]) ).
tcf(c_242575,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xn,sdtasdt0(xl,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xn,sdtasdt0(xl,xq))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242528,c_51,c_239034]) ).
tcf(c_242579,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = xn )
| ( sdtpldt0(sdtpldt0(X0,xn),sK0(sdtpldt0(X0,xn),sdtpldt0(X0,sdtasdt0(xl,xq)))) = sdtpldt0(X0,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242532,c_51,c_239034]) ).
tcf(c_242583,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = xn )
| ( sdtpldt0(sdtpldt0(xn,X0),sK0(sdtpldt0(xn,X0),sdtpldt0(sdtasdt0(xl,xq),X0))) = sdtpldt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242531,c_51,c_239034]) ).
tcf(c_242587,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = xn )
| ( sdtpldt0(sdtasdt0(X0,xn),sK0(sdtasdt0(X0,xn),sdtasdt0(X0,sdtasdt0(xl,xq)))) = sdtasdt0(X0,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242523,c_51,c_239034]) ).
tcf(c_242592,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = xn )
| ( sdtpldt0(sdtasdt0(xn,X0),sK0(sdtasdt0(xn,X0),sdtasdt0(sdtasdt0(xl,xq),X0))) = sdtasdt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242522,c_51,c_239034]) ).
tcf(c_242660,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(global_subsumption_just,[status(thm)],[c_221534,c_3512,c_17729]) ).
tcf(c_242676,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_221605,c_58,c_2805,c_3678,c_3677,c_4537,c_6506,c_6776,c_7761,c_223418]) ).
tcf(c_242685,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_98]) ).
tcf(c_242686,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtasdt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_221527]) ).
tcf(c_242687,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(sz00,sdtasdt0(X0,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_221296]) ).
tcf(c_242688,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,xm) = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X1),sK0(sdtasdt0(sz00,X1),sdtasdt0(sdtasdt0(X0,xm),X1))) = sdtasdt0(sdtasdt0(X0,xm),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_234443]) ).
tcf(c_242689,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,xm) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sz00),sK0(sdtasdt0(X1,sz00),sdtasdt0(X1,sdtasdt0(X0,xm)))) = sdtasdt0(X1,sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_233482]) ).
tcf(c_242690,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(X0,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_221048]) ).
tcf(c_242691,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(X0,xm)),X1) = sdtpldt0(X1,sK0(sz00,sdtasdt0(X0,xm))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_220748]) ).
tcf(c_242692,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sz00,sdtasdt0(X0,xm))) = sdtpldt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(X0,xm)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_220719]) ).
tcf(c_242693,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(X0,xm))) = sK0(sz00,sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_220626]) ).
tcf(c_242694,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sz00,sdtasdt0(X0,xm)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sz00,sdtasdt0(X0,xm))),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_220599]) ).
tcf(c_242695,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sz00,sdtasdt0(X0,xm)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(X0,xm)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_220568]) ).
tcf(c_242696,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(X0,xm)),sz00) = sK0(sz00,sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_220445]) ).
tcf(c_242697,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,xm) = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X1),sK0(sdtpldt0(sz00,X1),sdtpldt0(sdtasdt0(X0,xm),X1))) = sdtpldt0(sdtasdt0(X0,xm),X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_222410]) ).
tcf(c_242698,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,xm) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sz00),sK0(sdtpldt0(X1,sz00),sdtpldt0(X1,sdtasdt0(X0,xm)))) = sdtpldt0(X1,sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_222310]) ).
tcf(c_242699,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm))
| ~ sdtlseqdt0(sdtasdt0(X0,xm),sz00) ),
inference(superposition,[status(thm)],[c_242676,c_99]) ).
tcf(c_242700,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(X0,xm))) = sdtasdt0(X0,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_65]) ).
tcf(c_242701,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X1,xm))
| ( xm = sz00 )
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_242676,c_241605]) ).
tcf(c_242702,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_242676,c_241303]) ).
tcf(c_242703,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(X0,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242690,c_92]) ).
tcf(c_242708,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sK0(sz00,sdtasdt0(X0,xm))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242687,c_92]) ).
tcf(c_242713,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtasdt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242686,c_92]) ).
tcf(c_242720,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(X0,xm))) = sdtasdt0(X0,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242700,c_92]) ).
tcf(c_242725,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm))
| ~ sdtlseqdt0(sdtasdt0(X0,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242699,c_92]) ).
tcf(c_242731,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242685,c_92]) ).
tcf(c_242738,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X1,X0))
| ( X1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242702,c_92,c_50]) ).
tcf(c_242745,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(X0,xm)),sz00) = sK0(sz00,sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242696,c_92]) ).
tcf(c_242750,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(X0,xm))) = sK0(sz00,sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242693,c_92]) ).
tcf(c_242755,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X1,xm))
| ( X0 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242701,c_104694,c_92,c_50]) ).
tcf(c_242762,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0(sz00,sdtasdt0(X0,xm)),X1) = sdtpldt0(X1,sK0(sz00,sdtasdt0(X0,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242691,c_92]) ).
tcf(c_242768,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(X1,X2),sK0(sz00,sdtasdt0(X0,xm))) = sdtpldt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(X0,xm)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242692,c_92]) ).
tcf(c_242775,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sK0(sz00,sdtasdt0(X0,xm)))) = sdtasdt0(X1,sdtpldt0(X2,sK0(sz00,sdtasdt0(X0,xm)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242695,c_92]) ).
tcf(c_242782,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sK0(sz00,sdtasdt0(X0,xm)),X1)) = sdtasdt0(sdtpldt0(X2,sK0(sz00,sdtasdt0(X0,xm))),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242694,c_92]) ).
tcf(c_242789,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,xm) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sz00),sK0(sdtpldt0(X1,sz00),sdtpldt0(X1,sdtasdt0(X0,xm)))) = sdtpldt0(X1,sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242698,c_92]) ).
tcf(c_242796,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,xm) = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,X1),sK0(sdtpldt0(sz00,X1),sdtpldt0(sdtasdt0(X0,xm),X1))) = sdtpldt0(sdtasdt0(X0,xm),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242697,c_92]) ).
tcf(c_242803,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,xm) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sz00),sK0(sdtasdt0(X1,sz00),sdtasdt0(X1,sdtasdt0(X0,xm)))) = sdtasdt0(X1,sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242689,c_92]) ).
tcf(c_242811,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,xm) = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,X1),sK0(sdtasdt0(sz00,X1),sdtasdt0(sdtasdt0(X0,xm),X1))) = sdtasdt0(sdtasdt0(X0,xm),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242688,c_92]) ).
tcf(c_242914,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(global_subsumption_just,[status(thm)],[c_221630,c_76,c_68,c_5751]) ).
tcf(c_242915,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)) ),
inference(renaming,[status(thm)],[c_242914]) ).
tcf(c_242923,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242915,c_76]) ).
tcf(c_242942,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X2),sK0(sdtpldt0(X0,X2),sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_221491,c_242923]) ).
tcf(c_242943,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X0,X1))
| ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_97,c_242923]) ).
tcf(c_242944,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_242923]) ).
tcf(c_242947,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))
| ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_97,c_242923]) ).
tcf(c_242948,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_239032,c_242923]) ).
tcf(c_242949,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sz00,sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220446,c_242923]) ).
tcf(c_242950,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(xl,sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_220442,c_242923]) ).
tcf(c_242951,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(xm,sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_220443,c_242923]) ).
tcf(c_242952,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(xn,sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_220444,c_242923]) ).
tcf(c_242953,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ sdtlseqdt0(xl,sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220623,c_242923]) ).
tcf(c_242954,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(xm,sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220624,c_242923]) ).
tcf(c_242955,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(xn,sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220625,c_242923]) ).
tcf(c_242956,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_227110,c_242923]) ).
tcf(c_242957,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_227111,c_242923]) ).
tcf(c_242958,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(xp,sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221397,c_242923]) ).
tcf(c_242959,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(xp,sdtpldt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_221400,c_242923]) ).
tcf(c_242960,plain,
! [X0: $i] :
( ( sK0(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ~ sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ~ sdtlseqdt0(X0,sK0(xl,xl)) ),
inference(superposition,[status(thm)],[c_222697,c_242923]) ).
tcf(c_242961,plain,
! [X0: $i] :
( ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ~ sdtlseqdt0(X0,sK0(xm,xm)) ),
inference(superposition,[status(thm)],[c_222698,c_242923]) ).
tcf(c_242962,plain,
! [X0: $i] :
( ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ~ sdtlseqdt0(X0,sK0(xn,xn)) ),
inference(superposition,[status(thm)],[c_222699,c_242923]) ).
tcf(c_242963,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_227119,c_242923]) ).
tcf(c_242964,plain,
! [X0: $i] :
( ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ~ sdtlseqdt0(X0,sK0(xp,xp)) ),
inference(superposition,[status(thm)],[c_222706,c_242923]) ).
tcf(c_242965,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ sdtlseqdt0(xq,sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_225874,c_242923]) ).
tcf(c_242966,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(xq,sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_225877,c_242923]) ).
tcf(c_242967,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_227118,c_242923]) ).
tcf(c_242968,plain,
! [X0: $i] :
( ( sK0(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ~ sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ~ sdtlseqdt0(X0,sK0(xq,xq)) ),
inference(superposition,[status(thm)],[c_225866,c_242923]) ).
tcf(c_242969,plain,
! [X0: $i] :
( ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(xm,sdtpldt0(xl,X0))
| ~ sdtlseqdt0(X0,sK0(xl,xm)) ),
inference(superposition,[status(thm)],[c_225375,c_242923]) ).
tcf(c_242970,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239032,c_242923]) ).
tcf(c_242971,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_220446,c_242923]) ).
tcf(c_242972,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(xl,X0),xl) ),
inference(superposition,[status(thm)],[c_220442,c_242923]) ).
tcf(c_242973,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(xm,X0),xm) ),
inference(superposition,[status(thm)],[c_220443,c_242923]) ).
tcf(c_242974,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(xn,X0),xn) ),
inference(superposition,[status(thm)],[c_220444,c_242923]) ).
tcf(c_242975,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),xl) ),
inference(superposition,[status(thm)],[c_220623,c_242923]) ).
tcf(c_242976,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),xm) ),
inference(superposition,[status(thm)],[c_220624,c_242923]) ).
tcf(c_242977,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),xn) ),
inference(superposition,[status(thm)],[c_220625,c_242923]) ).
tcf(c_242978,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(sdtpldt0(xl,X0),sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_227110,c_242923]) ).
tcf(c_242979,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_227111,c_242923]) ).
tcf(c_242980,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),xp) ),
inference(superposition,[status(thm)],[c_221397,c_242923]) ).
tcf(c_242981,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(xp,X0),xp) ),
inference(superposition,[status(thm)],[c_221400,c_242923]) ).
tcf(c_242982,plain,
! [X0: $i] :
( ( sK0(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ~ sdtlseqdt0(sK0(xl,xl),X0)
| ~ sdtlseqdt0(sdtpldt0(xl,X0),xl) ),
inference(superposition,[status(thm)],[c_222697,c_242923]) ).
tcf(c_242983,plain,
! [X0: $i] :
( ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(sK0(xm,xm),X0)
| ~ sdtlseqdt0(sdtpldt0(xm,X0),xm) ),
inference(superposition,[status(thm)],[c_222698,c_242923]) ).
tcf(c_242984,plain,
! [X0: $i] :
( ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(sK0(xn,xn),X0)
| ~ sdtlseqdt0(sdtpldt0(xn,X0),xn) ),
inference(superposition,[status(thm)],[c_222699,c_242923]) ).
tcf(c_242985,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_227119,c_242923]) ).
tcf(c_242986,plain,
! [X0: $i] :
( ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(sK0(xp,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(xp,X0),xp) ),
inference(superposition,[status(thm)],[c_222706,c_242923]) ).
tcf(c_242987,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),xq) ),
inference(superposition,[status(thm)],[c_225874,c_242923]) ).
tcf(c_242988,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(xq,X0),xq) ),
inference(superposition,[status(thm)],[c_225877,c_242923]) ).
tcf(c_242989,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_227118,c_242923]) ).
tcf(c_242990,plain,
! [X0: $i] :
( ( sK0(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ~ sdtlseqdt0(sK0(xq,xq),X0)
| ~ sdtlseqdt0(sdtpldt0(xq,X0),xq) ),
inference(superposition,[status(thm)],[c_225866,c_242923]) ).
tcf(c_242991,plain,
! [X0: $i] :
( ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(sK0(xl,xm),X0)
| ~ sdtlseqdt0(sdtpldt0(xl,X0),xm) ),
inference(superposition,[status(thm)],[c_225375,c_242923]) ).
tcf(c_242992,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242971,c_92]) ).
tcf(c_243004,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(xq,X0),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242988,c_225856,c_92]) ).
tcf(c_243009,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242987,c_225856,c_92]) ).
tcf(c_243014,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(xp,X0),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242981,c_221332,c_92]) ).
tcf(c_243019,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242980,c_221332,c_92]) ).
tcf(c_243024,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242977,c_92,c_51]) ).
tcf(c_243029,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242976,c_92,c_50]) ).
tcf(c_243034,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242975,c_92,c_49]) ).
tcf(c_243039,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(xn,X0),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242974,c_92,c_51]) ).
tcf(c_243044,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(xm,X0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242973,c_92,c_50]) ).
tcf(c_243049,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(xl,X0),xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242972,c_92,c_49]) ).
tcf(c_243055,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ sdtlseqdt0(xq,sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242965,c_225856,c_92]) ).
tcf(c_243061,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(xp,sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242958,c_221332,c_92]) ).
tcf(c_243066,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(xn,sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242955,c_92,c_51]) ).
tcf(c_243071,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(xm,sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242954,c_92,c_50]) ).
tcf(c_243076,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ sdtlseqdt0(xl,sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242953,c_92,c_49]) ).
tcf(c_243084,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242989,c_225856,c_49]) ).
tcf(c_243089,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242985,c_221332,c_49]) ).
tcf(c_243094,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242979,c_51,c_49]) ).
tcf(c_243099,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(sdtpldt0(xl,X0),sdtpldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242978,c_50,c_49]) ).
tcf(c_243104,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242970,c_51,c_50]) ).
tcf(c_243109,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242967,c_225856,c_49]) ).
tcf(c_243114,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242963,c_221332,c_49]) ).
tcf(c_243119,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242957,c_51,c_49]) ).
tcf(c_243124,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242956,c_50,c_49]) ).
tcf(c_243129,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242948,c_51,c_50]) ).
tcf(c_243134,plain,
! [X0: $i] :
( ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(sK0(xl,xm),X0)
| ~ sdtlseqdt0(sdtpldt0(xl,X0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242991,c_49]) ).
tcf(c_243140,plain,
! [X0: $i] :
( ( sK0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ~ sdtlseqdt0(sK0(xq,xq),X0)
| ~ sdtlseqdt0(sdtpldt0(xq,X0),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242990,c_225856]) ).
tcf(c_243146,plain,
! [X0: $i] :
( ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(sK0(xp,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(xp,X0),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242986,c_221332]) ).
tcf(c_243152,plain,
! [X0: $i] :
( ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(sK0(xn,xn),X0)
| ~ sdtlseqdt0(sdtpldt0(xn,X0),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242984,c_51]) ).
tcf(c_243158,plain,
! [X0: $i] :
( ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(sK0(xm,xm),X0)
| ~ sdtlseqdt0(sdtpldt0(xm,X0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242983,c_50]) ).
tcf(c_243164,plain,
! [X0: $i] :
( ( sK0(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ~ sdtlseqdt0(sK0(xl,xl),X0)
| ~ sdtlseqdt0(sdtpldt0(xl,X0),xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242982,c_49]) ).
tcf(c_243170,plain,
! [X0: $i] :
( ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(xm,sdtpldt0(xl,X0))
| ~ sdtlseqdt0(X0,sK0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242969,c_49]) ).
tcf(c_243176,plain,
! [X0: $i] :
( ( sK0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ~ sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ~ sdtlseqdt0(X0,sK0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242968,c_225856]) ).
tcf(c_243182,plain,
! [X0: $i] :
( ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ~ sdtlseqdt0(X0,sK0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242964,c_221332]) ).
tcf(c_243188,plain,
! [X0: $i] :
( ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ~ sdtlseqdt0(X0,sK0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242962,c_51]) ).
tcf(c_243194,plain,
! [X0: $i] :
( ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ~ sdtlseqdt0(X0,sK0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242961,c_50]) ).
tcf(c_243200,plain,
! [X0: $i] :
( ( sK0(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ~ sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ~ sdtlseqdt0(X0,sK0(xl,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_242960,c_49]) ).
tcf(c_243396,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(global_subsumption_just,[status(thm)],[c_221631,c_76,c_69,c_6148]) ).
tcf(c_243397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X1)) ),
inference(renaming,[status(thm)],[c_243396]) ).
tcf(c_243405,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243397,c_76]) ).
tcf(c_243424,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X2,X1),sK0(sdtpldt0(X2,X1),sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_221491,c_243405]) ).
tcf(c_243425,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X2,X1),sdtpldt0(X0,X1))
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_97,c_243405]) ).
tcf(c_243430,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_97,c_243405]) ).
tcf(c_243431,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_239032,c_243405]) ).
tcf(c_243432,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sz00,sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220446,c_243405]) ).
tcf(c_243433,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ sdtlseqdt0(xl,sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220442,c_243405]) ).
tcf(c_243434,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(xm,sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220443,c_243405]) ).
tcf(c_243435,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(xn,sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220444,c_243405]) ).
tcf(c_243436,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(xl,sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_220623,c_243405]) ).
tcf(c_243437,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(xm,sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_220624,c_243405]) ).
tcf(c_243438,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(xn,sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_220625,c_243405]) ).
tcf(c_243439,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_227110,c_243405]) ).
tcf(c_243440,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_227111,c_243405]) ).
tcf(c_243441,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(xp,sdtpldt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_221397,c_243405]) ).
tcf(c_243442,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(xp,sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_221400,c_243405]) ).
tcf(c_243443,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK0(xl,xl))
| ~ sdtlseqdt0(xl,sdtpldt0(X0,sK0(xl,xl))) ),
inference(superposition,[status(thm)],[c_222697,c_243405]) ).
tcf(c_243444,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(xm,sdtpldt0(X0,sK0(xm,xm))) ),
inference(superposition,[status(thm)],[c_222698,c_243405]) ).
tcf(c_243445,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(xn,sdtpldt0(X0,sK0(xn,xn))) ),
inference(superposition,[status(thm)],[c_222699,c_243405]) ).
tcf(c_243446,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_227119,c_243405]) ).
tcf(c_243447,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(xp,sdtpldt0(X0,sK0(xp,xp))) ),
inference(superposition,[status(thm)],[c_222706,c_243405]) ).
tcf(c_243448,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(xq,sdtpldt0(X0,xq)) ),
inference(superposition,[status(thm)],[c_225874,c_243405]) ).
tcf(c_243449,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ sdtlseqdt0(xq,sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_225877,c_243405]) ).
tcf(c_243450,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_227118,c_243405]) ).
tcf(c_243451,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,xq))
| ~ sdtlseqdt0(xq,sdtpldt0(X0,sK0(xq,xq))) ),
inference(superposition,[status(thm)],[c_225866,c_243405]) ).
tcf(c_243452,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(xm,sdtpldt0(X0,sK0(xl,xm))) ),
inference(superposition,[status(thm)],[c_225375,c_243405]) ).
tcf(c_243453,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xn),sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239032,c_243405]) ).
tcf(c_243454,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),sz00) ),
inference(superposition,[status(thm)],[c_220446,c_243405]) ).
tcf(c_243455,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),xl) ),
inference(superposition,[status(thm)],[c_220442,c_243405]) ).
tcf(c_243456,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),xm) ),
inference(superposition,[status(thm)],[c_220443,c_243405]) ).
tcf(c_243457,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),xn) ),
inference(superposition,[status(thm)],[c_220444,c_243405]) ).
tcf(c_243458,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xl),xl) ),
inference(superposition,[status(thm)],[c_220623,c_243405]) ).
tcf(c_243459,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xm),xm) ),
inference(superposition,[status(thm)],[c_220624,c_243405]) ).
tcf(c_243460,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xn),xn) ),
inference(superposition,[status(thm)],[c_220625,c_243405]) ).
tcf(c_243461,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_227110,c_243405]) ).
tcf(c_243462,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_227111,c_243405]) ).
tcf(c_243463,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xp),xp) ),
inference(superposition,[status(thm)],[c_221397,c_243405]) ).
tcf(c_243464,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),xp) ),
inference(superposition,[status(thm)],[c_221400,c_243405]) ).
tcf(c_243465,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xl,xl)),xl) ),
inference(superposition,[status(thm)],[c_222697,c_243405]) ).
tcf(c_243466,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xm,xm)),xm) ),
inference(superposition,[status(thm)],[c_222698,c_243405]) ).
tcf(c_243467,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xn,xn)),xn) ),
inference(superposition,[status(thm)],[c_222699,c_243405]) ).
tcf(c_243468,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_227119,c_243405]) ).
tcf(c_243469,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xp,xp)),xp) ),
inference(superposition,[status(thm)],[c_222706,c_243405]) ).
tcf(c_243470,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xq),xq) ),
inference(superposition,[status(thm)],[c_225874,c_243405]) ).
tcf(c_243471,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),xq) ),
inference(superposition,[status(thm)],[c_225877,c_243405]) ).
tcf(c_243472,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_227118,c_243405]) ).
tcf(c_243473,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xq,xq)),xq) ),
inference(superposition,[status(thm)],[c_225866,c_243405]) ).
tcf(c_243474,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xl,xm)),xm) ),
inference(superposition,[status(thm)],[c_225375,c_243405]) ).
tcf(c_243475,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243454,c_92]) ).
tcf(c_243481,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243471,c_225856,c_92]) ).
tcf(c_243486,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243470,c_225856,c_92]) ).
tcf(c_243491,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243464,c_221332,c_92]) ).
tcf(c_243496,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243463,c_221332,c_92]) ).
tcf(c_243501,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243460,c_92,c_51]) ).
tcf(c_243506,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243459,c_92,c_50]) ).
tcf(c_243511,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xl),xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243458,c_92,c_49]) ).
tcf(c_243516,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243457,c_92,c_51]) ).
tcf(c_243521,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243456,c_92,c_50]) ).
tcf(c_243526,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,sz00),xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243455,c_92,c_49]) ).
tcf(c_243531,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ sdtlseqdt0(xq,sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243449,c_225856,c_92]) ).
tcf(c_243537,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(xp,sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243442,c_221332,c_92]) ).
tcf(c_243546,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(xn,sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243435,c_92,c_51]) ).
tcf(c_243551,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(xm,sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243434,c_92,c_50]) ).
tcf(c_243556,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ sdtlseqdt0(xl,sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243433,c_92,c_49]) ).
tcf(c_243561,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243472,c_225856,c_49]) ).
tcf(c_243566,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243468,c_221332,c_49]) ).
tcf(c_243571,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243462,c_51,c_49]) ).
tcf(c_243576,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243461,c_50,c_49]) ).
tcf(c_243581,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xn),sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243453,c_51,c_50]) ).
tcf(c_243586,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243450,c_225856,c_49]) ).
tcf(c_243591,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243446,c_221332,c_49]) ).
tcf(c_243596,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243440,c_51,c_49]) ).
tcf(c_243601,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243439,c_50,c_49]) ).
tcf(c_243606,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243431,c_51,c_50]) ).
tcf(c_243611,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xl,xm)),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243474,c_49]) ).
tcf(c_243617,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xq,xq)),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243473,c_225856]) ).
tcf(c_243623,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xp,xp)),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243469,c_221332]) ).
tcf(c_243629,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xn,xn)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243467,c_51]) ).
tcf(c_243635,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xm,xm)),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243466,c_50]) ).
tcf(c_243641,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xl,xl)),xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243465,c_49]) ).
tcf(c_243647,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(xm,sdtpldt0(X0,sK0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243452,c_49]) ).
tcf(c_243653,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,xq))
| ~ sdtlseqdt0(xq,sdtpldt0(X0,sK0(xq,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243451,c_225856]) ).
tcf(c_243659,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(xp,sdtpldt0(X0,sK0(xp,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243447,c_221332]) ).
tcf(c_243665,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(xn,sdtpldt0(X0,sK0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243445,c_51]) ).
tcf(c_243671,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(xm,sdtpldt0(X0,sK0(xm,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243444,c_50]) ).
tcf(c_243677,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK0(xl,xl))
| ~ sdtlseqdt0(xl,sdtpldt0(X0,sK0(xl,xl))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243443,c_49]) ).
tcf(c_243893,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_227232,c_243405]) ).
tcf(c_243894,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_227232,c_242923]) ).
tcf(c_243895,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_227232,c_136]) ).
tcf(c_243896,plain,
( aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_227232,c_76]) ).
tcf(c_243899,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_227232,c_67]) ).
tcf(c_243900,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_227232,c_66]) ).
tcf(c_243901,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_227232,c_242923]) ).
tcf(c_243902,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_227232,c_68]) ).
tcf(c_243903,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_227232,c_62]) ).
tcf(c_243904,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_227232,c_60]) ).
tcf(c_243905,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_227232,c_243405]) ).
tcf(c_243906,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_227232,c_77]) ).
tcf(c_243907,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_227232,c_69]) ).
tcf(c_243908,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_227232,c_60]) ).
tcf(c_243909,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xm))
| ( X1 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_227232,c_240168]) ).
tcf(c_243910,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,X1))
| ( X1 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_227232,c_239627]) ).
tcf(c_243911,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_227232,c_62]) ).
tcf(c_243912,plain,
( sdtlseqdt0(xm,sdtpldt0(xm,xq))
| ( sz00 = xq )
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_227232,c_230093]) ).
tcf(c_243913,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ( sdtpldt0(xm,xq) != xm ) ),
inference(superposition,[status(thm)],[c_227232,c_220860]) ).
tcf(c_243914,plain,
aNaturalNumber0(sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_243896,c_225856,c_50]) ).
tcf(c_243915,plain,
sdtlseqdt0(xq,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_243895,c_225856,c_50]) ).
tcf(c_243916,plain,
( sdtlseqdt0(xm,sdtpldt0(xm,xq))
| ( sz00 = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243912,c_225856]) ).
tcf(c_243919,plain,
( ( sz00 = xq )
| ( sdtpldt0(xm,xq) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243913,c_225856]) ).
tcf(c_243925,plain,
sdtpldt0(xm,xq) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_243899,c_104694,c_225856,c_50]) ).
tcf(c_243926,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243907,c_225856,c_50]) ).
tcf(c_243930,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243906,c_225856,c_50]) ).
tcf(c_243935,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243902,c_225856,c_50]) ).
tcf(c_243939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243911,c_225856,c_50]) ).
tcf(c_243944,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xm,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243908,c_225856,c_50]) ).
tcf(c_243949,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xq,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243904,c_225856,c_50]) ).
tcf(c_243954,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,xm))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243903,c_225856,c_50]) ).
tcf(c_243959,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243905,c_225856,c_50]) ).
tcf(c_243964,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243901,c_225856,c_50]) ).
tcf(c_243969,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243894,c_225856,c_50]) ).
tcf(c_243974,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243893,c_225856,c_50]) ).
tcf(c_243979,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,X1))
| ( X1 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243910,c_225856,c_50]) ).
tcf(c_243986,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xm))
| ( X1 = xq )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243909,c_225856,c_50]) ).
tcf(c_244030,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X0) ),
inference(global_subsumption_just,[status(thm)],[c_221632,c_103,c_3119]) ).
tcf(c_244042,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_221491,c_244030]) ).
tcf(c_244044,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X0 )
| ( sdtasdt0(sdtasdt0(X0,X1),X1) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_86,c_244030]) ).
tcf(c_244045,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_97,c_244030]) ).
tcf(c_244046,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X1 = sz00 )
| ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(sdtasdt0(X0,X1),X2))
| ~ sdtlseqdt0(sdtasdt0(sdtasdt0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_240695,c_244030]) ).
tcf(c_244055,plain,
( ( sdtsldt0(sz00,xl) = sz00 )
| ( sdtasdt0(xl,sdtsldt0(sz00,xl)) = xl )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(sz00,xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_222594,c_244030]) ).
tcf(c_244058,plain,
( ( sdtsldt0(sz00,xp) = sz00 )
| ( sdtasdt0(xp,sdtsldt0(sz00,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_223605,c_244030]) ).
tcf(c_244059,plain,
( ( sz00 = xp )
| ( sdtasdt0(xl,xp) = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xm,xl) ),
inference(superposition,[status(thm)],[c_221469,c_244030]) ).
tcf(c_244060,plain,
( ( sK1(xl,xm) = sz00 )
| ( sdtasdt0(xl,sK1(xl,xm)) = xl )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xm,xl)
| ~ aNaturalNumber0(sK1(xl,xm)) ),
inference(superposition,[status(thm)],[c_221078,c_244030]) ).
tcf(c_244061,plain,
( ( sK1(xl,sz00) = sz00 )
| ( sdtasdt0(xl,sK1(xl,sz00)) = xl )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(sz00,xl)
| ~ aNaturalNumber0(sK1(xl,sz00)) ),
inference(superposition,[status(thm)],[c_222589,c_244030]) ).
tcf(c_244062,plain,
( ( sK1(xm,sz00) = sz00 )
| ( sdtasdt0(xm,sK1(xm,sz00)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_222542,c_244030]) ).
tcf(c_244063,plain,
( ( sK1(xn,sz00) = sz00 )
| ( sdtasdt0(xn,sK1(xn,sz00)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_222172,c_244030]) ).
tcf(c_244064,plain,
( ( sK1(xp,sz00) = sz00 )
| ( sdtasdt0(xp,sK1(xp,sz00)) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_223600,c_244030]) ).
tcf(c_244067,plain,
( ( sK1(xq,sz00) = sz00 )
| ( sdtasdt0(xq,sK1(xq,sz00)) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(sz00,xq)
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(superposition,[status(thm)],[c_226954,c_244030]) ).
tcf(c_244068,plain,
( ( sdtsldt0(sz00,xm) = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sz00,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_222547,c_244030]) ).
tcf(c_244069,plain,
( ( sz00 = xp )
| ( xl = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xm,xl) ),
inference(light_normalisation,[status(thm)],[c_244059,c_221469]) ).
tcf(c_244071,plain,
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(light_normalisation,[status(thm)],[c_244068,c_222547]) ).
tcf(c_244073,plain,
( ( sz00 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(sz00,xq)
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(light_normalisation,[status(thm)],[c_244067,c_226954]) ).
tcf(c_244075,plain,
( ( sz00 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(light_normalisation,[status(thm)],[c_244064,c_223600]) ).
tcf(c_244077,plain,
( ( xn = sz00 )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(light_normalisation,[status(thm)],[c_244063,c_222172]) ).
tcf(c_244079,plain,
( ( xm = sz00 )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(light_normalisation,[status(thm)],[c_244062,c_222542]) ).
tcf(c_244081,plain,
( ( xl = sz00 )
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(sz00,xl)
| ~ aNaturalNumber0(sK1(xl,sz00)) ),
inference(light_normalisation,[status(thm)],[c_244061,c_222589]) ).
tcf(c_244083,plain,
( ( xl = xm )
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xm,xl)
| ~ aNaturalNumber0(sK1(xl,xm)) ),
inference(light_normalisation,[status(thm)],[c_244060,c_221078]) ).
tcf(c_244084,plain,
( ( xl = xm )
| ( sK1(xl,xm) = sz00 )
| ~ sdtlseqdt0(xm,xl)
| ~ aNaturalNumber0(sK1(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244083,c_49]) ).
tcf(c_244089,plain,
( ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(light_normalisation,[status(thm)],[c_244058,c_223605]) ).
tcf(c_244091,plain,
( ( xl = sz00 )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(sz00,xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(light_normalisation,[status(thm)],[c_244055,c_222594]) ).
tcf(c_244121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(global_subsumption_just,[status(thm)],[c_221633,c_103,c_88,c_7441]) ).
tcf(c_244122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(renaming,[status(thm)],[c_244121]) ).
tcf(c_244131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244122,c_103]) ).
tcf(c_244153,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X2),sK0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_221491,c_244131]) ).
tcf(c_244154,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))
| ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_97,c_244131]) ).
tcf(c_244158,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ( 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_97,c_244131]) ).
tcf(c_244159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_240695,c_244131]) ).
tcf(c_244162,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sz00,sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_221044,c_244131]) ).
tcf(c_244163,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sz00,sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_221045,c_244131]) ).
tcf(c_244164,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sz00,sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_221046,c_244131]) ).
tcf(c_244168,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_222594,c_244131]) ).
tcf(c_244170,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sz00,sdtasdt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_221394,c_244131]) ).
tcf(c_244171,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_223605,c_244131]) ).
tcf(c_244172,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(xm,sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_221469,c_244131]) ).
tcf(c_244173,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sK1(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,xm))
| ~ sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ~ sdtlseqdt0(X0,sK1(xl,xm)) ),
inference(superposition,[status(thm)],[c_221078,c_244131]) ).
tcf(c_244174,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sK1(xl,sz00) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ~ sdtlseqdt0(X0,sK1(xl,sz00)) ),
inference(superposition,[status(thm)],[c_222589,c_244131]) ).
tcf(c_244175,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ~ sdtlseqdt0(X0,sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_222542,c_244131]) ).
tcf(c_244176,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ~ sdtlseqdt0(X0,sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_222172,c_244131]) ).
tcf(c_244177,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ~ sdtlseqdt0(X0,sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_223600,c_244131]) ).
tcf(c_244179,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sz00,sdtasdt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_225871,c_244131]) ).
tcf(c_244180,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sK1(xq,sz00) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ~ sdtlseqdt0(X0,sK1(xq,sz00)) ),
inference(superposition,[status(thm)],[c_226954,c_244131]) ).
tcf(c_244181,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_222547,c_244131]) ).
tcf(c_244184,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(xl,X0),sz00) ),
inference(superposition,[status(thm)],[c_221044,c_244131]) ).
tcf(c_244185,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(xm,X0),sz00) ),
inference(superposition,[status(thm)],[c_221045,c_244131]) ).
tcf(c_244186,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(xn,X0),sz00) ),
inference(superposition,[status(thm)],[c_221046,c_244131]) ).
tcf(c_244190,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(sdtsldt0(sz00,xl),X0)
| ~ sdtlseqdt0(sdtasdt0(xl,X0),sz00) ),
inference(superposition,[status(thm)],[c_222594,c_244131]) ).
tcf(c_244192,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(xp,X0),sz00) ),
inference(superposition,[status(thm)],[c_221394,c_244131]) ).
tcf(c_244193,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sdtsldt0(sz00,xp),X0)
| ~ sdtlseqdt0(sdtasdt0(xp,X0),sz00) ),
inference(superposition,[status(thm)],[c_223605,c_244131]) ).
tcf(c_244194,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(sdtasdt0(xl,X0),xm) ),
inference(superposition,[status(thm)],[c_221469,c_244131]) ).
tcf(c_244195,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sK1(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,xm))
| ~ sdtlseqdt0(sK1(xl,xm),X0)
| ~ sdtlseqdt0(sdtasdt0(xl,X0),xm) ),
inference(superposition,[status(thm)],[c_221078,c_244131]) ).
tcf(c_244196,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sK1(xl,sz00) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ~ sdtlseqdt0(sK1(xl,sz00),X0)
| ~ sdtlseqdt0(sdtasdt0(xl,X0),sz00) ),
inference(superposition,[status(thm)],[c_222589,c_244131]) ).
tcf(c_244197,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sK1(xm,sz00),X0)
| ~ sdtlseqdt0(sdtasdt0(xm,X0),sz00) ),
inference(superposition,[status(thm)],[c_222542,c_244131]) ).
tcf(c_244198,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(sK1(xn,sz00),X0)
| ~ sdtlseqdt0(sdtasdt0(xn,X0),sz00) ),
inference(superposition,[status(thm)],[c_222172,c_244131]) ).
tcf(c_244199,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sK1(xp,sz00),X0)
| ~ sdtlseqdt0(sdtasdt0(xp,X0),sz00) ),
inference(superposition,[status(thm)],[c_223600,c_244131]) ).
tcf(c_244201,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(xq,X0),sz00) ),
inference(superposition,[status(thm)],[c_225871,c_244131]) ).
tcf(c_244202,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sK1(xq,sz00) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ~ sdtlseqdt0(sK1(xq,sz00),X0)
| ~ sdtlseqdt0(sdtasdt0(xq,X0),sz00) ),
inference(superposition,[status(thm)],[c_226954,c_244131]) ).
tcf(c_244203,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sdtsldt0(sz00,xm),X0)
| ~ sdtlseqdt0(sdtasdt0(xm,X0),sz00) ),
inference(superposition,[status(thm)],[c_222547,c_244131]) ).
tcf(c_244204,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(xq,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244201,c_225856,c_92]) ).
tcf(c_244210,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(sdtasdt0(xl,X0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244194,c_54,c_221332,c_49]) ).
tcf(c_244215,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(xp,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244192,c_124385,c_221332,c_92]) ).
tcf(c_244220,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(xn,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244186,c_92,c_51]) ).
tcf(c_244226,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(xm,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244185,c_104694,c_92,c_50]) ).
tcf(c_244231,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(xl,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244184,c_54,c_92,c_49]) ).
tcf(c_244237,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(xm,sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244172,c_54,c_221332,c_49]) ).
tcf(c_244246,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sdtsldt0(sz00,xm),X0)
| ~ sdtlseqdt0(sdtasdt0(xm,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244203,c_104694,c_50]) ).
tcf(c_244252,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sK1(xq,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ~ sdtlseqdt0(sK1(xq,sz00),X0)
| ~ sdtlseqdt0(sdtasdt0(xq,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244202,c_225856]) ).
tcf(c_244259,plain,
! [X0: $i] :
( ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sK1(xp,sz00),X0)
| ~ sdtlseqdt0(sdtasdt0(xp,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244199,c_124385,c_221332]) ).
tcf(c_244265,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(sK1(xn,sz00),X0)
| ~ sdtlseqdt0(sdtasdt0(xn,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244198,c_51]) ).
tcf(c_244272,plain,
! [X0: $i] :
( ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sK1(xm,sz00),X0)
| ~ sdtlseqdt0(sdtasdt0(xm,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244197,c_104694,c_50]) ).
tcf(c_244278,plain,
! [X0: $i] :
( ( sK1(xl,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ~ sdtlseqdt0(sK1(xl,sz00),X0)
| ~ sdtlseqdt0(sdtasdt0(xl,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244196,c_54,c_49]) ).
tcf(c_244284,plain,
! [X0: $i] :
( ( sK1(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,xm))
| ~ sdtlseqdt0(sK1(xl,xm),X0)
| ~ sdtlseqdt0(sdtasdt0(xl,X0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244195,c_54,c_49]) ).
tcf(c_244290,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sdtsldt0(sz00,xp),X0)
| ~ sdtlseqdt0(sdtasdt0(xp,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244193,c_124385,c_221332]) ).
tcf(c_244296,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(sdtsldt0(sz00,xl),X0)
| ~ sdtlseqdt0(sdtasdt0(xl,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244190,c_54,c_49]) ).
tcf(c_244302,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244181,c_104694,c_50]) ).
tcf(c_244308,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sK1(xq,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ~ sdtlseqdt0(X0,sK1(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244180,c_225856]) ).
tcf(c_244315,plain,
! [X0: $i] :
( ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ~ sdtlseqdt0(X0,sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244177,c_124385,c_221332]) ).
tcf(c_244321,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ~ sdtlseqdt0(X0,sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244176,c_51]) ).
tcf(c_244328,plain,
! [X0: $i] :
( ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ~ sdtlseqdt0(X0,sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244175,c_104694,c_50]) ).
tcf(c_244334,plain,
! [X0: $i] :
( ( sK1(xl,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ~ sdtlseqdt0(X0,sK1(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244174,c_54,c_49]) ).
tcf(c_244340,plain,
! [X0: $i] :
( ( sK1(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,xm))
| ~ sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ~ sdtlseqdt0(X0,sK1(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244173,c_54,c_49]) ).
tcf(c_244346,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244171,c_124385,c_221332]) ).
tcf(c_244352,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244168,c_54,c_49]) ).
tcf(c_244520,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(global_subsumption_just,[status(thm)],[c_221634,c_103,c_89,c_7700]) ).
tcf(c_244521,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X1)) ),
inference(renaming,[status(thm)],[c_244520]) ).
tcf(c_244530,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244521,c_103]) ).
tcf(c_244552,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X2,X1),sK0(sdtasdt0(X2,X1),sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_221491,c_244530]) ).
tcf(c_244553,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_97,c_244530]) ).
tcf(c_244558,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))
| ( 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_97,c_244530]) ).
tcf(c_244559,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_240695,c_244530]) ).
tcf(c_244561,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(sz00,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sz00,sz00))) ),
inference(superposition,[status(thm)],[c_222168,c_244530]) ).
tcf(c_244565,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_221292,c_244530]) ).
tcf(c_244566,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_221293,c_244530]) ).
tcf(c_244567,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_221294,c_244530]) ).
tcf(c_244568,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xl))) ),
inference(superposition,[status(thm)],[c_222594,c_244530]) ).
tcf(c_244569,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_221393,c_244530]) ).
tcf(c_244571,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xp))) ),
inference(superposition,[status(thm)],[c_223605,c_244530]) ).
tcf(c_244572,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ sdtlseqdt0(xm,sdtasdt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_221469,c_244530]) ).
tcf(c_244573,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK1(xl,xm))
| ~ sdtlseqdt0(xm,sdtasdt0(X0,sK1(xl,xm))) ),
inference(superposition,[status(thm)],[c_221078,c_244530]) ).
tcf(c_244574,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xl,sz00))) ),
inference(superposition,[status(thm)],[c_222589,c_244530]) ).
tcf(c_244575,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xm,sz00))) ),
inference(superposition,[status(thm)],[c_222542,c_244530]) ).
tcf(c_244576,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xn,sz00))) ),
inference(superposition,[status(thm)],[c_222172,c_244530]) ).
tcf(c_244577,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xp,sz00))) ),
inference(superposition,[status(thm)],[c_223600,c_244530]) ).
tcf(c_244578,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,xq)) ),
inference(superposition,[status(thm)],[c_225870,c_244530]) ).
tcf(c_244580,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xq,sz00))) ),
inference(superposition,[status(thm)],[c_226954,c_244530]) ).
tcf(c_244581,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xm))) ),
inference(superposition,[status(thm)],[c_222547,c_244530]) ).
tcf(c_244583,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK1(sz00,sz00))
| ~ sdtlseqdt0(sdtasdt0(X0,sK1(sz00,sz00)),sz00) ),
inference(superposition,[status(thm)],[c_222168,c_244530]) ).
tcf(c_244587,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,xl),sz00) ),
inference(superposition,[status(thm)],[c_221292,c_244530]) ).
tcf(c_244588,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,xm),sz00) ),
inference(superposition,[status(thm)],[c_221293,c_244530]) ).
tcf(c_244589,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,xn),sz00) ),
inference(superposition,[status(thm)],[c_221294,c_244530]) ).
tcf(c_244590,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xl)),sz00) ),
inference(superposition,[status(thm)],[c_222594,c_244530]) ).
tcf(c_244591,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,xp),sz00) ),
inference(superposition,[status(thm)],[c_221393,c_244530]) ).
tcf(c_244593,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xp)),sz00) ),
inference(superposition,[status(thm)],[c_223605,c_244530]) ).
tcf(c_244594,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,xp),xm) ),
inference(superposition,[status(thm)],[c_221469,c_244530]) ).
tcf(c_244595,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK1(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(X0,sK1(xl,xm)),xm) ),
inference(superposition,[status(thm)],[c_221078,c_244530]) ).
tcf(c_244596,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ~ sdtlseqdt0(sdtasdt0(X0,sK1(xl,sz00)),sz00) ),
inference(superposition,[status(thm)],[c_222589,c_244530]) ).
tcf(c_244597,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sdtasdt0(X0,sK1(xm,sz00)),sz00) ),
inference(superposition,[status(thm)],[c_222542,c_244530]) ).
tcf(c_244598,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(sdtasdt0(X0,sK1(xn,sz00)),sz00) ),
inference(superposition,[status(thm)],[c_222172,c_244530]) ).
tcf(c_244599,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sdtasdt0(X0,sK1(xp,sz00)),sz00) ),
inference(superposition,[status(thm)],[c_223600,c_244530]) ).
tcf(c_244600,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,xq),sz00) ),
inference(superposition,[status(thm)],[c_225870,c_244530]) ).
tcf(c_244602,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ~ sdtlseqdt0(sdtasdt0(X0,sK1(xq,sz00)),sz00) ),
inference(superposition,[status(thm)],[c_226954,c_244530]) ).
tcf(c_244603,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xm)),sz00) ),
inference(superposition,[status(thm)],[c_222547,c_244530]) ).
tcf(c_244604,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244600,c_225856,c_92]) ).
tcf(c_244610,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,xp),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244594,c_124385,c_221332,c_49]) ).
tcf(c_244615,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244591,c_124385,c_221332,c_92]) ).
tcf(c_244620,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244589,c_92,c_51]) ).
tcf(c_244626,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244588,c_104694,c_92,c_50]) ).
tcf(c_244631,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,xl),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244587,c_54,c_92,c_49]) ).
tcf(c_244637,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ sdtlseqdt0(xm,sdtasdt0(X0,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244572,c_124385,c_221332,c_49]) ).
tcf(c_244654,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244603,c_50]) ).
tcf(c_244661,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ~ sdtlseqdt0(sdtasdt0(X0,sK1(xq,sz00)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244602,c_225856]) ).
tcf(c_244668,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sdtasdt0(X0,sK1(xp,sz00)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244599,c_221332]) ).
tcf(c_244675,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(sdtasdt0(X0,sK1(xn,sz00)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244598,c_51]) ).
tcf(c_244682,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sdtasdt0(X0,sK1(xm,sz00)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244597,c_50]) ).
tcf(c_244689,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ~ sdtlseqdt0(sdtasdt0(X0,sK1(xl,sz00)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244596,c_49]) ).
tcf(c_244696,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK1(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(X0,sK1(xl,xm)),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244595,c_49]) ).
tcf(c_244703,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244593,c_221332]) ).
tcf(c_244710,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xl)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244590,c_49]) ).
tcf(c_244717,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK1(sz00,sz00))
| ~ sdtlseqdt0(sdtasdt0(X0,sK1(sz00,sz00)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244583,c_92]) ).
tcf(c_244724,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244581,c_50]) ).
tcf(c_244731,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK1(xq,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xq,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244580,c_225856]) ).
tcf(c_244738,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xp,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244577,c_221332]) ).
tcf(c_244745,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xn,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244576,c_51]) ).
tcf(c_244752,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xm,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244575,c_50]) ).
tcf(c_244759,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xl,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244574,c_49]) ).
tcf(c_244766,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK1(xl,xm))
| ~ sdtlseqdt0(xm,sdtasdt0(X0,sK1(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244573,c_49]) ).
tcf(c_244773,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244571,c_221332]) ).
tcf(c_244780,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xl))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244568,c_49]) ).
tcf(c_244787,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(sz00,sz00))
| ~ sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sz00,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_244561,c_92]) ).
tcf(c_244825,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xq),X0),sdtasdt0(sdtpldt0(xm,xq),xp)) = sdtasdt0(sdtpldt0(xm,xq),sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_221399]) ).
tcf(c_244826,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xq)),sdtasdt0(xp,sdtpldt0(xm,xq))) = sdtasdt0(sdtpldt0(X0,xp),sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_221398]) ).
tcf(c_244827,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xq),X0),xp) = sdtpldt0(sdtpldt0(xm,xq),sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_221396]) ).
tcf(c_244828,plain,
sdtpldt0(sdtpldt0(xm,xq),xp) = sdtpldt0(xp,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_243914,c_221395]) ).
tcf(c_244829,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,xq),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_221295]) ).
tcf(c_244830,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(xm,xq),sK0(sdtpldt0(xm,xq),sdtasdt0(sdtpldt0(xm,xq),X0))) = sdtasdt0(sdtpldt0(xm,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_233162]) ).
tcf(c_244831,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_221047]) ).
tcf(c_244832,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xq),X0),sz00) = sdtpldt0(sdtpldt0(xm,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220778]) ).
tcf(c_244833,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(sdtpldt0(xm,xq),X0))) = sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(sdtpldt0(xm,xq),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220777]) ).
tcf(c_244834,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sdtpldt0(sdtpldt0(xm,xq),X0),X1)) = sdtasdt0(sdtpldt0(X2,sdtpldt0(sdtpldt0(xm,xq),X0)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220776]) ).
tcf(c_244835,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xm,xq),X0)) = sdtpldt0(sdtpldt0(xm,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220775]) ).
tcf(c_244836,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(sdtpldt0(xm,xq),X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtpldt0(sdtpldt0(xm,xq),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220774]) ).
tcf(c_244837,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xq),X0),X1) = sdtpldt0(X1,sdtpldt0(sdtpldt0(xm,xq),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220773]) ).
tcf(c_244838,plain,
sdtpldt0(sdtpldt0(xm,xq),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_243914,c_220749]) ).
tcf(c_244839,plain,
sdtpldt0(sdtpldt0(xm,xq),xn) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_243914,c_220747]) ).
tcf(c_244840,plain,
sdtpldt0(sdtpldt0(xm,xq),xm) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_243914,c_220746]) ).
tcf(c_244841,plain,
sdtpldt0(sdtpldt0(xm,xq),xl) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_243914,c_220745]) ).
tcf(c_244842,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xq),X0),sz00) = sdtpldt0(sdtpldt0(xm,xq),sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220720]) ).
tcf(c_244843,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xq),X0),xn) = sdtpldt0(sdtpldt0(xm,xq),sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220718]) ).
tcf(c_244844,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xq),X0),xm) = sdtpldt0(sdtpldt0(xm,xq),sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220717]) ).
tcf(c_244845,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xq),X0),xl) = sdtpldt0(sdtpldt0(xm,xq),sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220716]) ).
tcf(c_244846,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xq)),sdtasdt0(sz00,sdtpldt0(xm,xq))) = sdtasdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220600]) ).
tcf(c_244847,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xq)),sdtasdt0(xn,sdtpldt0(xm,xq))) = sdtasdt0(sdtpldt0(X0,xn),sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220598]) ).
tcf(c_244848,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xq)),sdtasdt0(xm,sdtpldt0(xm,xq))) = sdtasdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220597]) ).
tcf(c_244849,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xq)),sdtasdt0(xl,sdtpldt0(xm,xq))) = sdtasdt0(sdtpldt0(X0,xl),sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220596]) ).
tcf(c_244850,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xq),X0),sdtasdt0(sdtpldt0(xm,xq),sz00)) = sdtasdt0(sdtpldt0(xm,xq),sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220569]) ).
tcf(c_244851,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xq),X0),sdtasdt0(sdtpldt0(xm,xq),xn)) = sdtasdt0(sdtpldt0(xm,xq),sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220567]) ).
tcf(c_244852,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xq),X0),sdtasdt0(sdtpldt0(xm,xq),xm)) = sdtasdt0(sdtpldt0(xm,xq),sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220566]) ).
tcf(c_244853,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xq),X0),sdtasdt0(sdtpldt0(xm,xq),xl)) = sdtasdt0(sdtpldt0(xm,xq),sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_220565]) ).
tcf(c_244854,plain,
sdtpldt0(sdtpldt0(xm,xq),sK0(sdtpldt0(xm,xq),sdtpldt0(xm,xq))) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_243914,c_220435]) ).
tcf(c_244855,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xq),X0),sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_143]) ).
tcf(c_244856,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xq),X0) = sdtasdt0(X0,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_102]) ).
tcf(c_244857,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,xq)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_101]) ).
tcf(c_244858,plain,
sdtasdt0(sz00,sdtpldt0(xm,xq)) = sz00,
inference(superposition,[status(thm)],[c_243914,c_91]) ).
tcf(c_244859,plain,
sdtasdt0(sdtpldt0(xm,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_243914,c_90]) ).
tcf(c_244860,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xq),X0) = sdtpldt0(X0,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_75]) ).
tcf(c_244861,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xq)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_74]) ).
tcf(c_244862,plain,
sdtpldt0(sz00,sdtpldt0(xm,xq)) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_243914,c_73]) ).
tcf(c_244863,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,xq),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,xq)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_71]) ).
tcf(c_244864,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,xq))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_70]) ).
tcf(c_244865,plain,
sdtpldt0(sdtpldt0(xm,xq),sz00) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_243914,c_72]) ).
tcf(c_249045,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_98]) ).
tcf(c_249046,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_221527]) ).
tcf(c_249047,plain,
( ( sdtasdt0(sz00,sK0(xq,sdtpldt0(xm,xq))) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_221296]) ).
tcf(c_249048,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = xq )
| ( sdtpldt0(sdtasdt0(xq,X0),sK0(sdtasdt0(xq,X0),sdtasdt0(sdtpldt0(xm,xq),X0))) = sdtasdt0(sdtpldt0(xm,xq),X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_234443]) ).
tcf(c_249049,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = xq )
| ( sdtpldt0(sdtasdt0(X0,xq),sK0(sdtasdt0(X0,xq),sdtasdt0(X0,sdtpldt0(xm,xq)))) = sdtasdt0(X0,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_233482]) ).
tcf(c_249050,plain,
( ( sdtasdt0(sK0(xq,sdtpldt0(xm,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_221048]) ).
tcf(c_249051,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xq,sdtpldt0(xm,xq)),X0) = sdtpldt0(X0,sK0(xq,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_220748]) ).
tcf(c_249052,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xq,sdtpldt0(xm,xq))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xq,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_220719]) ).
tcf(c_249053,plain,
( ( sdtpldt0(sz00,sK0(xq,sdtpldt0(xm,xq))) = sK0(xq,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_220626]) ).
tcf(c_249054,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xq,sdtpldt0(xm,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xq,sdtpldt0(xm,xq))),X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_220599]) ).
tcf(c_249055,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xq,sdtpldt0(xm,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xq,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_220568]) ).
tcf(c_249056,plain,
( ( sdtpldt0(sK0(xq,sdtpldt0(xm,xq)),sz00) = sK0(xq,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_220445]) ).
tcf(c_249057,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = xq )
| ( sdtpldt0(sdtpldt0(xq,X0),sK0(sdtpldt0(xq,X0),sdtpldt0(sdtpldt0(xm,xq),X0))) = sdtpldt0(sdtpldt0(xm,xq),X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_222410]) ).
tcf(c_249058,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = xq )
| ( sdtpldt0(sdtpldt0(X0,xq),sK0(sdtpldt0(X0,xq),sdtpldt0(X0,sdtpldt0(xm,xq)))) = sdtpldt0(X0,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_222310]) ).
tcf(c_249059,plain,
( ( sdtpldt0(xm,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),xq) ),
inference(superposition,[status(thm)],[c_243915,c_99]) ).
tcf(c_249060,plain,
( ( sdtpldt0(xq,sK0(xq,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_65]) ).
tcf(c_249061,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_243915,c_240168]) ).
tcf(c_249062,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xm,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_243915,c_239627]) ).
tcf(c_249063,plain,
sdtasdt0(sK0(xq,sdtpldt0(xm,xq)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_249050,c_225856,c_243914]) ).
tcf(c_249064,plain,
sdtasdt0(sz00,sK0(xq,sdtpldt0(xm,xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_249047,c_225856,c_243914]) ).
tcf(c_249065,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249046,c_225856,c_243914]) ).
tcf(c_249069,plain,
sdtpldt0(xq,sK0(xq,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_249060,c_225856,c_243914]) ).
tcf(c_249070,plain,
( ( sdtpldt0(xm,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xm,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249059,c_225856,c_243914]) ).
tcf(c_249073,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249045,c_225856,c_243914]) ).
tcf(c_249077,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xm,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249062,c_225856,c_50]) ).
tcf(c_249082,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249061,c_225856,c_50]) ).
tcf(c_249087,plain,
sdtpldt0(sK0(xq,sdtpldt0(xm,xq)),sz00) = sK0(xq,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_249056,c_225856,c_243914]) ).
tcf(c_249088,plain,
sdtpldt0(sz00,sK0(xq,sdtpldt0(xm,xq))) = sK0(xq,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_249053,c_225856,c_243914]) ).
tcf(c_249089,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xq,sdtpldt0(xm,xq)),X0) = sdtpldt0(X0,sK0(xq,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249051,c_225856,c_243914]) ).
tcf(c_249092,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xq,sdtpldt0(xm,xq))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xq,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249052,c_225856,c_243914]) ).
tcf(c_249096,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xq,sdtpldt0(xm,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xq,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249055,c_225856,c_243914]) ).
tcf(c_249100,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xq,sdtpldt0(xm,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xq,sdtpldt0(xm,xq))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249054,c_225856,c_243914]) ).
tcf(c_249104,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = xq )
| ( sdtpldt0(sdtpldt0(X0,xq),sK0(sdtpldt0(X0,xq),sdtpldt0(X0,sdtpldt0(xm,xq)))) = sdtpldt0(X0,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249058,c_225856,c_243914]) ).
tcf(c_249108,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = xq )
| ( sdtpldt0(sdtpldt0(xq,X0),sK0(sdtpldt0(xq,X0),sdtpldt0(sdtpldt0(xm,xq),X0))) = sdtpldt0(sdtpldt0(xm,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249057,c_225856,c_243914]) ).
tcf(c_249112,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = xq )
| ( sdtpldt0(sdtasdt0(X0,xq),sK0(sdtasdt0(X0,xq),sdtasdt0(X0,sdtpldt0(xm,xq)))) = sdtasdt0(X0,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249049,c_225856,c_243914]) ).
tcf(c_249117,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = xq )
| ( sdtpldt0(sdtasdt0(xq,X0),sK0(sdtasdt0(xq,X0),sdtasdt0(sdtpldt0(xm,xq),X0))) = sdtasdt0(sdtpldt0(xm,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249048,c_225856,c_243914]) ).
tcf(c_249149,plain,
( ( sdtpldt0(xm,xn) = xm )
| ~ sdtlseqdt0(sdtpldt0(xm,xn),xm) ),
inference(global_subsumption_just,[status(thm)],[c_221638,c_3148,c_17729]) ).
tcf(c_249162,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,X0),xl) = sdtasdt0(xl,sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_221716]) ).
tcf(c_249163,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,X0),xl) = sdtasdt0(xm,sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_221716]) ).
tcf(c_249164,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,X0),xl) = sdtasdt0(xn,sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_221716]) ).
tcf(c_249165,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X2),xl) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_221716]) ).
tcf(c_249166,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sK0(X0,X1),X2),xl) = sdtasdt0(sK0(X0,X1),sdtasdt0(X2,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_221716]) ).
tcf(c_249167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X2),xl) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_221716]) ).
tcf(c_249168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sK1(X0,X1),X2),xl) = sdtasdt0(sK1(X0,X1),sdtasdt0(X2,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_221716]) ).
tcf(c_249169,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X0),xl) = sdtasdt0(sz00,sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_221716]) ).
tcf(c_249170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(X1,X0),X2),xl) = sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(X2,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_221716]) ).
tcf(c_249171,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,X0),xl) = sdtasdt0(xq,sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_221716]) ).
tcf(c_249172,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,X0),xl) = sdtasdt0(xp,sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_221716]) ).
tcf(c_249173,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xl),X0),xl) = sdtasdt0(sdtpldt0(xm,xl),sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_221716]) ).
tcf(c_249174,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xn),X0),xl) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_221716]) ).
tcf(c_249175,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xp),X0),xl) = sdtasdt0(sdtpldt0(xl,xp),sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_221716]) ).
tcf(c_249176,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xq),X0),xl) = sdtasdt0(sdtasdt0(xl,xq),sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_221716]) ).
tcf(c_249177,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xq),X0),xl) = sdtasdt0(sdtpldt0(xl,xq),sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_221716]) ).
tcf(c_249178,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xq),X0),xl) = sdtasdt0(sdtpldt0(xm,xq),sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_221716]) ).
tcf(c_249248,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,X0),xm) = sdtasdt0(xl,sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_221717]) ).
tcf(c_249249,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,X0),xm) = sdtasdt0(xm,sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_221717]) ).
tcf(c_249250,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,X0),xm) = sdtasdt0(xn,sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_221717]) ).
tcf(c_249251,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X2),xm) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,xm)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_221717]) ).
tcf(c_249252,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sK0(X0,X1),X2),xm) = sdtasdt0(sK0(X0,X1),sdtasdt0(X2,xm)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_221717]) ).
tcf(c_249253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X2),xm) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,xm)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_221717]) ).
tcf(c_249254,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sK1(X0,X1),X2),xm) = sdtasdt0(sK1(X0,X1),sdtasdt0(X2,xm)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_221717]) ).
tcf(c_249255,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X0),xm) = sdtasdt0(sz00,sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_221717]) ).
tcf(c_249256,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(X1,X0),X2),xm) = sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(X2,xm)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_221717]) ).
tcf(c_249257,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,X0),xm) = sdtasdt0(xq,sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_221717]) ).
tcf(c_249258,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,X0),xm) = sdtasdt0(xp,sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_221717]) ).
tcf(c_249259,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xl),X0),xm) = sdtasdt0(sdtpldt0(xm,xl),sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_221717]) ).
tcf(c_249260,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xn),X0),xm) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_221717]) ).
tcf(c_249261,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xp),X0),xm) = sdtasdt0(sdtpldt0(xl,xp),sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_221717]) ).
tcf(c_249262,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xq),X0),xm) = sdtasdt0(sdtasdt0(xl,xq),sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_221717]) ).
tcf(c_249263,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xq),X0),xm) = sdtasdt0(sdtpldt0(xl,xq),sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_221717]) ).
tcf(c_249264,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xq),X0),xm) = sdtasdt0(sdtpldt0(xm,xq),sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_221717]) ).
tcf(c_249358,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_227233,c_243405]) ).
tcf(c_249359,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_227233,c_242923]) ).
tcf(c_249360,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_227233,c_136]) ).
tcf(c_249361,plain,
( aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_227233,c_76]) ).
tcf(c_249365,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_227233,c_66]) ).
tcf(c_249366,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_227233,c_242923]) ).
tcf(c_249367,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_227233,c_68]) ).
tcf(c_249368,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_227233,c_62]) ).
tcf(c_249369,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_227233,c_60]) ).
tcf(c_249370,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_227233,c_243405]) ).
tcf(c_249371,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_227233,c_77]) ).
tcf(c_249372,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_227233,c_69]) ).
tcf(c_249373,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_227233,c_60]) ).
tcf(c_249374,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xm))
| ( X1 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_227233,c_240168]) ).
tcf(c_249375,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,X1))
| ( X1 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_227233,c_239627]) ).
tcf(c_249376,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_227233,c_62]) ).
tcf(c_249377,plain,
( sdtlseqdt0(xm,sdtpldt0(xm,xp))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_227233,c_230093]) ).
tcf(c_249378,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xm,xp) != xm ) ),
inference(superposition,[status(thm)],[c_227233,c_220860]) ).
tcf(c_249379,plain,
aNaturalNumber0(sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_249361,c_221332,c_50]) ).
tcf(c_249380,plain,
sdtlseqdt0(xp,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_249360,c_221332,c_50]) ).
tcf(c_249381,plain,
sdtlseqdt0(xm,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_249377,c_124385,c_221332]) ).
tcf(c_249382,plain,
sdtpldt0(xm,xp) != xm,
inference(forward_subsumption_resolution,[status(thm)],[c_249378,c_124385,c_221332]) ).
tcf(c_249383,plain,
sdtpldt0(xm,xp) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_249365,c_124385,c_221332,c_50]) ).
tcf(c_249384,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249372,c_221332,c_50]) ).
tcf(c_249388,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249371,c_221332,c_50]) ).
tcf(c_249393,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249367,c_221332,c_50]) ).
tcf(c_249397,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249376,c_221332,c_50]) ).
tcf(c_249402,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xm,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249373,c_221332,c_50]) ).
tcf(c_249407,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xp,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249369,c_221332,c_50]) ).
tcf(c_249412,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,xm))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249368,c_221332,c_50]) ).
tcf(c_249417,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249370,c_221332,c_50]) ).
tcf(c_249422,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249366,c_221332,c_50]) ).
tcf(c_249427,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249359,c_221332,c_50]) ).
tcf(c_249432,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249358,c_221332,c_50]) ).
tcf(c_249437,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,X1))
| ( X1 = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249375,c_221332,c_50]) ).
tcf(c_249444,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,xm))
| ( X1 = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249374,c_221332,c_50]) ).
tcf(c_249526,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,X0),xn) = sdtasdt0(xl,sdtasdt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_221718]) ).
tcf(c_249527,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,X0),xn) = sdtasdt0(xm,sdtasdt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_221718]) ).
tcf(c_249528,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,X0),xn) = sdtasdt0(xn,sdtasdt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_221718]) ).
tcf(c_249529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X2),xn) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,xn)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_221718]) ).
tcf(c_249530,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sK0(X0,X1),X2),xn) = sdtasdt0(sK0(X0,X1),sdtasdt0(X2,xn)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_221718]) ).
tcf(c_249531,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X2),xn) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,xn)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_221718]) ).
tcf(c_249532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sK1(X0,X1),X2),xn) = sdtasdt0(sK1(X0,X1),sdtasdt0(X2,xn)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_221718]) ).
tcf(c_249533,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X0),xn) = sdtasdt0(sz00,sdtasdt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_221718]) ).
tcf(c_249534,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(X1,X0),X2),xn) = sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(X2,xn)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_221718]) ).
tcf(c_249535,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,X0),xn) = sdtasdt0(xq,sdtasdt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_221718]) ).
tcf(c_249536,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,X0),xn) = sdtasdt0(xp,sdtasdt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_221718]) ).
tcf(c_249537,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xl),X0),xn) = sdtasdt0(sdtpldt0(xm,xl),sdtasdt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_221718]) ).
tcf(c_249538,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xn),X0),xn) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_221718]) ).
tcf(c_249539,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xp),X0),xn) = sdtasdt0(sdtpldt0(xl,xp),sdtasdt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_221718]) ).
tcf(c_249540,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xq),X0),xn) = sdtasdt0(sdtasdt0(xl,xq),sdtasdt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_221718]) ).
tcf(c_249541,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xq),X0),xn) = sdtasdt0(sdtpldt0(xl,xq),sdtasdt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_221718]) ).
tcf(c_249542,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xq),X0),xn) = sdtasdt0(sdtpldt0(xm,xq),sdtasdt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_221718]) ).
tcf(c_249674,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(xl,X0)) = sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(xl,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_221719]) ).
tcf(c_249675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(xm,X0)) = sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(xm,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_221719]) ).
tcf(c_249676,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(xn,X0)) = sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(xn,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_221719]) ).
tcf(c_249677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(sdtasdt0(X3,X4),sdtpldt0(sdtpldt0(X0,X1),X2)) = sdtasdt0(X3,sdtasdt0(X4,sdtpldt0(sdtpldt0(X0,X1),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_221719]) ).
tcf(c_249678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(sdtasdt0(X3,X4),sdtpldt0(sK0(X0,X1),X2)) = sdtasdt0(X3,sdtasdt0(X4,sdtpldt0(sK0(X0,X1),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_221719]) ).
tcf(c_249679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(sdtasdt0(X3,X4),sdtpldt0(sdtasdt0(X0,X1),X2)) = sdtasdt0(X3,sdtasdt0(X4,sdtpldt0(sdtasdt0(X0,X1),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_221719]) ).
tcf(c_249680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(sdtasdt0(X3,X4),sdtpldt0(sK1(X0,X1),X2)) = sdtasdt0(X3,sdtasdt0(X4,sdtpldt0(sK1(X0,X1),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_221719]) ).
tcf(c_249681,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(sz00,X0)) = sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_221719]) ).
tcf(c_249682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X3,X4),sdtpldt0(sdtsldt0(X1,X0),X2)) = sdtasdt0(X3,sdtasdt0(X4,sdtpldt0(sdtsldt0(X1,X0),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_221719]) ).
tcf(c_249683,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(xq,X0)) = sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(xq,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_221719]) ).
tcf(c_249684,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(xp,X0)) = sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(xp,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_221719]) ).
tcf(c_249685,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(sdtpldt0(xm,xl),X0)) = sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(sdtpldt0(xm,xl),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_221719]) ).
tcf(c_249686,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(sdtpldt0(xl,xn),X0)) = sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(sdtpldt0(xl,xn),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_221719]) ).
tcf(c_249687,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(sdtpldt0(xl,xp),X0)) = sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(sdtpldt0(xl,xp),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_221719]) ).
tcf(c_249688,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(sdtasdt0(xl,xq),X0)) = sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(sdtasdt0(xl,xq),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_221719]) ).
tcf(c_249689,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(sdtpldt0(xl,xq),X0)) = sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(sdtpldt0(xl,xq),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_221719]) ).
tcf(c_249690,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(sdtpldt0(xm,xq),X0)) = sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(sdtpldt0(xm,xq),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_221719]) ).
tcf(c_249830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ( sdtasdt0(sdtasdt0(X2,X3),sK0(X0,X1)) = sdtasdt0(X2,sdtasdt0(X3,sK0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_221720]) ).
tcf(c_249831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtasdt0(sdtasdt0(X2,X3),sK0(X0,X1)) = sdtasdt0(X2,sdtasdt0(X3,sK0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_221720]) ).
tcf(c_249832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( sdtasdt0(sdtasdt0(X3,X4),sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))) = sdtasdt0(X3,sdtasdt0(X4,sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_221720]) ).
tcf(c_249833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X2 )
| ( sdtasdt0(sdtasdt0(X3,X4),sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))) = sdtasdt0(X3,sdtasdt0(X4,sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_221720]) ).
tcf(c_249834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(X2,X3),sK0(X0,sdtpldt0(X0,X1))) = sdtasdt0(X2,sdtasdt0(X3,sK0(X0,sdtpldt0(X0,X1)))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_221720]) ).
tcf(c_249835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sdtasdt0(X2,X3),sK0(X0,sdtasdt0(X0,X1))) = sdtasdt0(X2,sdtasdt0(X3,sK0(X0,sdtasdt0(X0,X1)))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_221720]) ).
tcf(c_249836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X3,X4),sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(X3,sdtasdt0(X4,sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_221720]) ).
tcf(c_249837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtasdt0(sdtasdt0(X3,X4),sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))) = sdtasdt0(X3,sdtasdt0(X4,sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_221720]) ).
tcf(c_249838,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sK0(X0,X0)) = sdtasdt0(X1,sdtasdt0(X2,sK0(X0,X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_221720]) ).
tcf(c_249839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtasdt0(sdtasdt0(X2,X3),sK0(X1,X0)) = sdtasdt0(X2,sdtasdt0(X3,sK0(X1,X0))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_221720]) ).
tcf(c_249840,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(sz00,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK0(sz00,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221440,c_221720]) ).
tcf(c_249841,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xl,xl)) = sdtasdt0(X0,sdtasdt0(X1,sK0(xl,xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222115,c_221720]) ).
tcf(c_249842,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xm,xm)) = sdtasdt0(X0,sdtasdt0(X1,sK0(xm,xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222114,c_221720]) ).
tcf(c_249843,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xn,xn)) = sdtasdt0(X0,sdtasdt0(X1,sK0(xn,xn))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222113,c_221720]) ).
tcf(c_249844,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(sz00,xl)) = sdtasdt0(X0,sdtasdt0(X1,sK0(sz00,xl))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222112,c_221720]) ).
tcf(c_249845,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(sz00,xm)) = sdtasdt0(X0,sdtasdt0(X1,sK0(sz00,xm))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222111,c_221720]) ).
tcf(c_249846,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(sz00,xn)) = sdtasdt0(X0,sdtasdt0(X1,sK0(sz00,xn))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222110,c_221720]) ).
tcf(c_249847,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xq,xp)) = sdtasdt0(X0,sdtasdt0(X1,sK0(xq,xp))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225405,c_221720]) ).
tcf(c_249848,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(sz00,xq)) = sdtasdt0(X0,sdtasdt0(X1,sK0(sz00,xq))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226977,c_221720]) ).
tcf(c_249849,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xl,sdtpldt0(xm,xl))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xl,sdtpldt0(xm,xl)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_221720]) ).
tcf(c_249850,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xn,sdtpldt0(xl,xn))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xn,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_221720]) ).
tcf(c_249851,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(sz00,xp)) = sdtasdt0(X0,sdtasdt0(X1,sK0(sz00,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223873,c_221720]) ).
tcf(c_249852,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xp,xp)) = sdtasdt0(X0,sdtasdt0(X1,sK0(xp,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_224410,c_221720]) ).
tcf(c_249853,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xp,sdtpldt0(xl,xp))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xp,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_221720]) ).
tcf(c_249854,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xq,xq)) = sdtasdt0(X0,sdtasdt0(X1,sK0(xq,xq))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_227416,c_221720]) ).
tcf(c_249855,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sK0(xl,sdtpldt0(xl,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xl,sdtpldt0(xl,X0)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_221720]) ).
tcf(c_249856,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sK0(sz00,sdtpldt0(sz00,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(sz00,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_221720]) ).
tcf(c_249857,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xm,sdtpldt0(xm,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xm,sdtpldt0(xm,X0)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_221720]) ).
tcf(c_249858,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sK0(xn,sdtpldt0(xn,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xn,sdtpldt0(xn,X0)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_221720]) ).
tcf(c_249859,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xl,sdtpldt0(sz00,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xl,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_221720]) ).
tcf(c_249860,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xm,sdtpldt0(sz00,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xm,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_221720]) ).
tcf(c_249861,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xn,sdtpldt0(sz00,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xn,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_221720]) ).
tcf(c_249862,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sdtpldt0(sz00,X0),xl)) = sdtasdt0(X1,sdtasdt0(X2,sK0(sdtpldt0(sz00,X0),xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_221720]) ).
tcf(c_249863,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sdtpldt0(sz00,X0),xm)) = sdtasdt0(X1,sdtasdt0(X2,sK0(sdtpldt0(sz00,X0),xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_221720]) ).
tcf(c_249864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sdtpldt0(sz00,X0),xn)) = sdtasdt0(X1,sdtasdt0(X2,sK0(sdtpldt0(sz00,X0),xn))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_221720]) ).
tcf(c_249865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sz00,sdtpldt0(X0,sz00))) = sdtasdt0(X1,sdtasdt0(X2,sK0(sz00,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_221720]) ).
tcf(c_249866,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xl,sdtpldt0(X0,sz00))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xl,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_221720]) ).
tcf(c_249867,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xm,sdtpldt0(X0,sz00))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xm,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_221720]) ).
tcf(c_249868,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xn,sdtpldt0(X0,sz00))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xn,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_221720]) ).
tcf(c_249869,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xl,sdtpldt0(X0,xl))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xl,sdtpldt0(X0,xl)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_221720]) ).
tcf(c_249870,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xm,sdtpldt0(X0,xm))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xm,sdtpldt0(X0,xm)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_221720]) ).
tcf(c_249871,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xn,sdtpldt0(X0,xn))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xn,sdtpldt0(X0,xn)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_221720]) ).
tcf(c_249872,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sdtpldt0(X0,sz00),xl)) = sdtasdt0(X1,sdtasdt0(X2,sK0(sdtpldt0(X0,sz00),xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_221720]) ).
tcf(c_249873,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sdtpldt0(X0,sz00),xm)) = sdtasdt0(X1,sdtasdt0(X2,sK0(sdtpldt0(X0,sz00),xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_221720]) ).
tcf(c_249874,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sdtpldt0(X0,sz00),xn)) = sdtasdt0(X1,sdtasdt0(X2,sK0(sdtpldt0(X0,sz00),xn))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_221720]) ).
tcf(c_249875,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xl,xm)) = sdtasdt0(X0,sdtasdt0(X1,sK0(xl,xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225018,c_221720]) ).
tcf(c_249876,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sz00,sdtasdt0(xl,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(sz00,sdtasdt0(xl,X0)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_221720]) ).
tcf(c_249877,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sz00,sdtasdt0(xm,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(sz00,sdtasdt0(xm,X0)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_221720]) ).
tcf(c_249878,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sz00,sdtasdt0(xn,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(sz00,sdtasdt0(xn,X0)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_221720]) ).
tcf(c_249879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sdtasdt0(X3,X4),sK0(X2,sdtasdt0(X0,X1))) = sdtasdt0(X3,sdtasdt0(X4,sK0(X2,sdtasdt0(X0,X1)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_221720]) ).
tcf(c_249880,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sz00,sdtasdt0(X0,xl))) = sdtasdt0(X1,sdtasdt0(X2,sK0(sz00,sdtasdt0(X0,xl)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_221720]) ).
tcf(c_249881,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sz00,sdtasdt0(X0,xm))) = sdtasdt0(X1,sdtasdt0(X2,sK0(sz00,sdtasdt0(X0,xm)))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_221720]) ).
tcf(c_249882,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xq,sdtpldt0(xl,xq))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xq,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_221720]) ).
tcf(c_249883,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xq,sdtpldt0(xm,xq))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xq,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_221720]) ).
tcf(c_249884,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xm,sdtpldt0(xm,xl))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xm,sdtpldt0(xm,xl)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_221720]) ).
tcf(c_249885,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xn,sdtasdt0(xl,xq))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xn,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_221720]) ).
tcf(c_249886,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xm,sdtasdt0(xl,xq))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xm,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239040,c_221720]) ).
tcf(c_249887,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xl,sdtpldt0(xl,xp))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_221720]) ).
tcf(c_249888,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xq,xq)) = sdtasdt0(X0,sdtasdt0(X1,sK0(xq,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249854,c_225856]) ).
tcf(c_249892,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xp,xp)) = sdtasdt0(X0,sdtasdt0(X1,sK0(xp,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249852,c_221332]) ).
tcf(c_249896,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xn,xn)) = sdtasdt0(X0,sdtasdt0(X1,sK0(xn,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249843,c_51]) ).
tcf(c_249900,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xm,xm)) = sdtasdt0(X0,sdtasdt0(X1,sK0(xm,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249842,c_50]) ).
tcf(c_249904,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xl,xl)) = sdtasdt0(X0,sdtasdt0(X1,sK0(xl,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249841,c_49]) ).
tcf(c_249908,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_249840,c_225157]) ).
tcf(c_249914,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xl,xm)) = sdtasdt0(X0,sdtasdt0(X1,sK0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249875,c_50,c_49]) ).
tcf(c_249918,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_249851,c_225161]) ).
tcf(c_249920,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(sz00,xq)) = sdtasdt0(X0,sdtasdt0(X1,sK0(sz00,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249848,c_225856,c_92]) ).
tcf(c_249924,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xq,xp)) = sdtasdt0(X0,sdtasdt0(X1,sK0(xq,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249847,c_225856,c_221332]) ).
tcf(c_249928,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(X0,sdtasdt0(X1,xn)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_249846,c_225163]) ).
tcf(c_249930,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_249845,c_225165]) ).
tcf(c_249932,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xl) = sdtasdt0(X0,sdtasdt0(X1,xl)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_249844,c_225167]) ).
tcf(c_249946,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xl,sdtpldt0(xl,xp))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249887,c_49,c_237278]) ).
tcf(c_249950,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xm,sdtasdt0(xl,xq))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xm,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249886,c_50,c_239034]) ).
tcf(c_249954,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xn,sdtasdt0(xl,xq))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xn,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249885,c_51,c_239034]) ).
tcf(c_249958,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xm,sdtpldt0(xm,xl))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xm,sdtpldt0(xm,xl)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249884,c_50,c_232638]) ).
tcf(c_249962,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xq,sdtpldt0(xm,xq))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xq,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249883,c_225856,c_243914]) ).
tcf(c_249966,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xq,sdtpldt0(xl,xq))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xq,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249882,c_225856,c_236340]) ).
tcf(c_249970,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xp,sdtpldt0(xl,xp))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xp,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249853,c_221332,c_237278]) ).
tcf(c_249974,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xn,sdtpldt0(xl,xn))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xn,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249850,c_51,c_235048]) ).
tcf(c_249978,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xl,sdtpldt0(xm,xl))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xl,sdtpldt0(xm,xl)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249849,c_49,c_232638]) ).
tcf(c_249988,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sK0(xn,sdtpldt0(xn,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xn,sdtpldt0(xn,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249858,c_51]) ).
tcf(c_249994,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sK0(sz00,sdtpldt0(sz00,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(sz00,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249856,c_92]) ).
tcf(c_250000,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sK0(xl,sdtpldt0(xl,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xl,sdtpldt0(xl,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249855,c_49]) ).
tcf(c_250012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sz00,sdtasdt0(X0,xm))) = sdtasdt0(X1,sdtasdt0(X2,sK0(sz00,sdtasdt0(X0,xm)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249881,c_92]) ).
tcf(c_250019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sz00,sdtasdt0(X0,xl))) = sdtasdt0(X1,sdtasdt0(X2,sK0(sz00,sdtasdt0(X0,xl)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249880,c_92]) ).
tcf(c_250026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sz00,sdtasdt0(xm,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(sz00,sdtasdt0(xm,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249877,c_92]) ).
tcf(c_250033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sz00,sdtasdt0(xl,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(sz00,sdtasdt0(xl,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249876,c_92]) ).
tcf(c_250040,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xn,sdtpldt0(X0,xn))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xn,sdtpldt0(X0,xn)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249871,c_51]) ).
tcf(c_250047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xm,sdtpldt0(X0,xm))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xm,sdtpldt0(X0,xm)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249870,c_50]) ).
tcf(c_250054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xl,sdtpldt0(X0,xl))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xl,sdtpldt0(X0,xl)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249869,c_49]) ).
tcf(c_250061,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sz00,sdtpldt0(X0,sz00))) = sdtasdt0(X1,sdtasdt0(X2,sK0(sz00,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249865,c_92]) ).
tcf(c_250068,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xm,sdtpldt0(xm,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xm,sdtpldt0(xm,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249857,c_50]) ).
tcf(c_250082,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sz00,sdtasdt0(xn,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(sz00,sdtasdt0(xn,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249878,c_92]) ).
tcf(c_250090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sdtpldt0(X0,sz00),xn)) = sdtasdt0(X1,sdtasdt0(X2,sK0(sdtpldt0(X0,sz00),xn))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249874,c_51]) ).
tcf(c_250098,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sdtpldt0(X0,sz00),xm)) = sdtasdt0(X1,sdtasdt0(X2,sK0(sdtpldt0(X0,sz00),xm))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249873,c_50]) ).
tcf(c_250106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sdtpldt0(X0,sz00),xl)) = sdtasdt0(X1,sdtasdt0(X2,sK0(sdtpldt0(X0,sz00),xl))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249872,c_49]) ).
tcf(c_250114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xn,sdtpldt0(X0,sz00))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xn,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249868,c_51]) ).
tcf(c_250122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xm,sdtpldt0(X0,sz00))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xm,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249867,c_50]) ).
tcf(c_250130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xl,sdtpldt0(X0,sz00))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xl,sdtpldt0(X0,sz00)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249866,c_49]) ).
tcf(c_250138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sdtpldt0(sz00,X0),xn)) = sdtasdt0(X1,sdtasdt0(X2,sK0(sdtpldt0(sz00,X0),xn))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249864,c_51]) ).
tcf(c_250146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sdtpldt0(sz00,X0),xm)) = sdtasdt0(X1,sdtasdt0(X2,sK0(sdtpldt0(sz00,X0),xm))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249863,c_50]) ).
tcf(c_250154,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(sdtpldt0(sz00,X0),xl)) = sdtasdt0(X1,sdtasdt0(X2,sK0(sdtpldt0(sz00,X0),xl))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249862,c_49]) ).
tcf(c_250162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xn )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xn,sdtpldt0(sz00,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xn,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249861,c_51]) ).
tcf(c_250170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xm )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xm,sdtpldt0(sz00,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xm,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249860,c_50]) ).
tcf(c_250178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = xl )
| ( sdtasdt0(sdtasdt0(X1,X2),sK0(xl,sdtpldt0(sz00,X0))) = sdtasdt0(X1,sdtasdt0(X2,sK0(xl,sdtpldt0(sz00,X0)))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249859,c_49]) ).
tcf(c_250379,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(sdtpldt0(xm,xp),X0)) = sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(sdtpldt0(xm,xp),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_221719]) ).
tcf(c_250380,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xp),X0),xn) = sdtasdt0(sdtpldt0(xm,xp),sdtasdt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_221718]) ).
tcf(c_250381,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xp),X0),xm) = sdtasdt0(sdtpldt0(xm,xp),sdtasdt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_221717]) ).
tcf(c_250382,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xp),X0),xl) = sdtasdt0(sdtpldt0(xm,xp),sdtasdt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_221716]) ).
tcf(c_250383,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xp),X0),sdtasdt0(sdtpldt0(xm,xp),xp)) = sdtasdt0(sdtpldt0(xm,xp),sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_221399]) ).
tcf(c_250384,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xp)),sdtasdt0(xp,sdtpldt0(xm,xp))) = sdtasdt0(sdtpldt0(X0,xp),sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_221398]) ).
tcf(c_250385,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xp),X0),xp) = sdtpldt0(sdtpldt0(xm,xp),sdtpldt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_221396]) ).
tcf(c_250386,plain,
sdtpldt0(sdtpldt0(xm,xp),xp) = sdtpldt0(xp,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_249379,c_221395]) ).
tcf(c_250387,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,xp),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_221295]) ).
tcf(c_250388,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(xm,xp),sK0(sdtpldt0(xm,xp),sdtasdt0(sdtpldt0(xm,xp),X0))) = sdtasdt0(sdtpldt0(xm,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_233162]) ).
tcf(c_250389,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_221047]) ).
tcf(c_250390,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xp),X0),sz00) = sdtpldt0(sdtpldt0(xm,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220778]) ).
tcf(c_250391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(sdtpldt0(xm,xp),X0))) = sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(sdtpldt0(xm,xp),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220777]) ).
tcf(c_250392,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(sdtpldt0(sdtpldt0(xm,xp),X0),X1)) = sdtasdt0(sdtpldt0(X2,sdtpldt0(sdtpldt0(xm,xp),X0)),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220776]) ).
tcf(c_250393,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xm,xp),X0)) = sdtpldt0(sdtpldt0(xm,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220775]) ).
tcf(c_250394,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(sdtpldt0(xm,xp),X0)) = sdtpldt0(X1,sdtpldt0(X2,sdtpldt0(sdtpldt0(xm,xp),X0))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220774]) ).
tcf(c_250395,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xp),X0),X1) = sdtpldt0(X1,sdtpldt0(sdtpldt0(xm,xp),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220773]) ).
tcf(c_250396,plain,
sdtpldt0(sdtpldt0(xm,xp),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_249379,c_220749]) ).
tcf(c_250397,plain,
sdtpldt0(sdtpldt0(xm,xp),xn) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_249379,c_220747]) ).
tcf(c_250398,plain,
sdtpldt0(sdtpldt0(xm,xp),xm) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_249379,c_220746]) ).
tcf(c_250399,plain,
sdtpldt0(sdtpldt0(xm,xp),xl) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_249379,c_220745]) ).
tcf(c_250400,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xp),X0),sz00) = sdtpldt0(sdtpldt0(xm,xp),sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220720]) ).
tcf(c_250401,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xp),X0),xn) = sdtpldt0(sdtpldt0(xm,xp),sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220718]) ).
tcf(c_250402,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xp),X0),xm) = sdtpldt0(sdtpldt0(xm,xp),sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220717]) ).
tcf(c_250403,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xp),X0),xl) = sdtpldt0(sdtpldt0(xm,xp),sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220716]) ).
tcf(c_250404,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xp)),sdtasdt0(sz00,sdtpldt0(xm,xp))) = sdtasdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220600]) ).
tcf(c_250405,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xp)),sdtasdt0(xn,sdtpldt0(xm,xp))) = sdtasdt0(sdtpldt0(X0,xn),sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220598]) ).
tcf(c_250406,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xp)),sdtasdt0(xm,sdtpldt0(xm,xp))) = sdtasdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220597]) ).
tcf(c_250407,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xp)),sdtasdt0(xl,sdtpldt0(xm,xp))) = sdtasdt0(sdtpldt0(X0,xl),sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220596]) ).
tcf(c_250408,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xp),X0),sdtasdt0(sdtpldt0(xm,xp),sz00)) = sdtasdt0(sdtpldt0(xm,xp),sdtpldt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220569]) ).
tcf(c_250409,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xp),X0),sdtasdt0(sdtpldt0(xm,xp),xn)) = sdtasdt0(sdtpldt0(xm,xp),sdtpldt0(X0,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220567]) ).
tcf(c_250410,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xp),X0),sdtasdt0(sdtpldt0(xm,xp),xm)) = sdtasdt0(sdtpldt0(xm,xp),sdtpldt0(X0,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220566]) ).
tcf(c_250411,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xp),X0),sdtasdt0(sdtpldt0(xm,xp),xl)) = sdtasdt0(sdtpldt0(xm,xp),sdtpldt0(X0,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_220565]) ).
tcf(c_250412,plain,
sdtpldt0(sdtpldt0(xm,xp),sK0(sdtpldt0(xm,xp),sdtpldt0(xm,xp))) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_249379,c_220435]) ).
tcf(c_250413,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xp),X0),sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_143]) ).
tcf(c_250414,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xp),X0) = sdtasdt0(X0,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_102]) ).
tcf(c_250415,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,xp)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_101]) ).
tcf(c_250416,plain,
sdtasdt0(sz00,sdtpldt0(xm,xp)) = sz00,
inference(superposition,[status(thm)],[c_249379,c_91]) ).
tcf(c_250417,plain,
sdtasdt0(sdtpldt0(xm,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_249379,c_90]) ).
tcf(c_250418,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xp),X0) = sdtpldt0(X0,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_75]) ).
tcf(c_250419,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xp)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_74]) ).
tcf(c_250420,plain,
sdtpldt0(sz00,sdtpldt0(xm,xp)) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_249379,c_73]) ).
tcf(c_250421,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,xp),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,xp)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_71]) ).
tcf(c_250422,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,xp))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_70]) ).
tcf(c_250423,plain,
sdtpldt0(sdtpldt0(xm,xp),sz00) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_249379,c_72]) ).
tcf(c_250654,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_98]) ).
tcf(c_250655,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xp,sdtpldt0(xm,xp))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xp,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_221720]) ).
tcf(c_250656,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_221527]) ).
tcf(c_250657,plain,
( ( sdtasdt0(sz00,sK0(xp,sdtpldt0(xm,xp))) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_221296]) ).
tcf(c_250658,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = xp )
| ( sdtpldt0(sdtasdt0(xp,X0),sK0(sdtasdt0(xp,X0),sdtasdt0(sdtpldt0(xm,xp),X0))) = sdtasdt0(sdtpldt0(xm,xp),X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_234443]) ).
tcf(c_250659,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = xp )
| ( sdtpldt0(sdtasdt0(X0,xp),sK0(sdtasdt0(X0,xp),sdtasdt0(X0,sdtpldt0(xm,xp)))) = sdtasdt0(X0,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_233482]) ).
tcf(c_250660,plain,
( ( sdtasdt0(sK0(xp,sdtpldt0(xm,xp)),sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_221048]) ).
tcf(c_250661,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xp,sdtpldt0(xm,xp)),X0) = sdtpldt0(X0,sK0(xp,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_220748]) ).
tcf(c_250662,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xp,sdtpldt0(xm,xp))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xp,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_220719]) ).
tcf(c_250663,plain,
( ( sdtpldt0(sz00,sK0(xp,sdtpldt0(xm,xp))) = sK0(xp,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_220626]) ).
tcf(c_250664,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xp,sdtpldt0(xm,xp)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xp,sdtpldt0(xm,xp))),X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_220599]) ).
tcf(c_250665,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xp,sdtpldt0(xm,xp)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xp,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_220568]) ).
tcf(c_250666,plain,
( ( sdtpldt0(sK0(xp,sdtpldt0(xm,xp)),sz00) = sK0(xp,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_220445]) ).
tcf(c_250667,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = xp )
| ( sdtpldt0(sdtpldt0(xp,X0),sK0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xm,xp),X0))) = sdtpldt0(sdtpldt0(xm,xp),X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_222410]) ).
tcf(c_250668,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = xp )
| ( sdtpldt0(sdtpldt0(X0,xp),sK0(sdtpldt0(X0,xp),sdtpldt0(X0,sdtpldt0(xm,xp)))) = sdtpldt0(X0,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_222310]) ).
tcf(c_250669,plain,
( ( sdtpldt0(xm,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),xp) ),
inference(superposition,[status(thm)],[c_249380,c_99]) ).
tcf(c_250670,plain,
( ( sdtpldt0(xp,sK0(xp,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_65]) ).
tcf(c_250671,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_249380,c_240168]) ).
tcf(c_250672,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xm,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_249380,c_239627]) ).
tcf(c_250673,plain,
sdtasdt0(sK0(xp,sdtpldt0(xm,xp)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_250660,c_221332,c_249379]) ).
tcf(c_250674,plain,
sdtasdt0(sz00,sK0(xp,sdtpldt0(xm,xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_250657,c_221332,c_249379]) ).
tcf(c_250675,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250656,c_221332,c_249379]) ).
tcf(c_250679,plain,
sdtpldt0(xp,sK0(xp,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_250670,c_221332,c_249379]) ).
tcf(c_250680,plain,
( ( sdtpldt0(xm,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xm,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250669,c_221332,c_249379]) ).
tcf(c_250683,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250654,c_221332,c_249379]) ).
tcf(c_250687,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xm,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250672,c_221332,c_50]) ).
tcf(c_250692,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250671,c_221332,c_50]) ).
tcf(c_250697,plain,
sdtpldt0(sK0(xp,sdtpldt0(xm,xp)),sz00) = sK0(xp,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_250666,c_221332,c_249379]) ).
tcf(c_250698,plain,
sdtpldt0(sz00,sK0(xp,sdtpldt0(xm,xp))) = sK0(xp,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_250663,c_221332,c_249379]) ).
tcf(c_250699,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xp,sdtpldt0(xm,xp)),X0) = sdtpldt0(X0,sK0(xp,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250661,c_221332,c_249379]) ).
tcf(c_250702,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xp,sdtpldt0(xm,xp))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xp,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250662,c_221332,c_249379]) ).
tcf(c_250706,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xp,sdtpldt0(xm,xp))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xp,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250655,c_221332,c_249379]) ).
tcf(c_250710,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xp,sdtpldt0(xm,xp)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xp,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250665,c_221332,c_249379]) ).
tcf(c_250714,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xp,sdtpldt0(xm,xp)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xp,sdtpldt0(xm,xp))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250664,c_221332,c_249379]) ).
tcf(c_250718,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = xp )
| ( sdtpldt0(sdtpldt0(X0,xp),sK0(sdtpldt0(X0,xp),sdtpldt0(X0,sdtpldt0(xm,xp)))) = sdtpldt0(X0,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250668,c_221332,c_249379]) ).
tcf(c_250722,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = xp )
| ( sdtpldt0(sdtpldt0(xp,X0),sK0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xm,xp),X0))) = sdtpldt0(sdtpldt0(xm,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250667,c_221332,c_249379]) ).
tcf(c_250726,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = xp )
| ( sdtpldt0(sdtasdt0(X0,xp),sK0(sdtasdt0(X0,xp),sdtasdt0(X0,sdtpldt0(xm,xp)))) = sdtasdt0(X0,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250659,c_221332,c_249379]) ).
tcf(c_250731,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = xp )
| ( sdtpldt0(sdtasdt0(xp,X0),sK0(sdtasdt0(xp,X0),sdtasdt0(sdtpldt0(xm,xp),X0))) = sdtasdt0(sdtpldt0(xm,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250658,c_221332,c_249379]) ).
tcf(c_250818,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(xl,xm)) = sdtasdt0(X0,sdtasdt0(X1,sK1(xl,xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_221721]) ).
tcf(c_250819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(sdtasdt0(X3,X4),sK1(X2,sdtpldt0(X0,X1))) = sdtasdt0(X3,sdtasdt0(X4,sK1(X2,sdtpldt0(X0,X1)))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_221721]) ).
tcf(c_250820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(X2,X3),sK1(X0,sdtasdt0(X0,X1))) = sdtasdt0(X2,sdtasdt0(X3,sK1(X0,sdtasdt0(X0,X1)))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_221721]) ).
tcf(c_250821,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(sz00,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK1(sz00,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222047,c_221721]) ).
tcf(c_250822,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(xl,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK1(xl,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222050,c_221721]) ).
tcf(c_250823,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(xm,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK1(xm,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222049,c_221721]) ).
tcf(c_250824,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(xn,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK1(xn,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222048,c_221721]) ).
tcf(c_250825,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(xp,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK1(xp,sz00))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223548,c_221721]) ).
tcf(c_250826,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(xq,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK1(xq,sz00))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226431,c_221721]) ).
tcf(c_250827,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(xl,sdtasdt0(xl,xq))) = sdtasdt0(X0,sdtasdt0(X1,sK1(xl,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_221721]) ).
tcf(c_250828,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(sz00,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK1(sz00,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250821,c_92]) ).
tcf(c_250832,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(xq,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK1(xq,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250826,c_225856,c_92]) ).
tcf(c_250836,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(xp,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK1(xp,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250825,c_221332,c_92]) ).
tcf(c_250840,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(xn,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK1(xn,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250824,c_92,c_51]) ).
tcf(c_250844,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(xm,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK1(xm,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250823,c_92,c_50]) ).
tcf(c_250848,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(xl,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK1(xl,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250822,c_92,c_49]) ).
tcf(c_250852,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(xl,xm)) = sdtasdt0(X0,sdtasdt0(X1,sK1(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250818,c_50,c_49]) ).
tcf(c_250856,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(xl,sdtasdt0(xl,xq))) = sdtasdt0(X0,sdtasdt0(X1,sK1(xl,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250827,c_49,c_239034]) ).
tcf(c_250946,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,X0),sz00) = sdtasdt0(xl,sdtasdt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_221722]) ).
tcf(c_250947,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,X0),sz00) = sdtasdt0(xm,sdtasdt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_221722]) ).
tcf(c_250948,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,X0),sz00) = sdtasdt0(xn,sdtasdt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_221722]) ).
tcf(c_250949,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X2),sz00) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,sz00)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_221722]) ).
tcf(c_250950,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sK0(X0,X1),X2),sz00) = sdtasdt0(sK0(X0,X1),sdtasdt0(X2,sz00)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_221722]) ).
tcf(c_250951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X2),sz00) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,sz00)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_221722]) ).
tcf(c_250952,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sK1(X0,X1),X2),sz00) = sdtasdt0(sK1(X0,X1),sdtasdt0(X2,sz00)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_221722]) ).
tcf(c_250953,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X0),sz00) = sdtasdt0(sz00,sdtasdt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_221722]) ).
tcf(c_250954,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(X1,X0),X2),sz00) = sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(X2,sz00)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_221722]) ).
tcf(c_250955,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,X0),sz00) = sdtasdt0(xq,sdtasdt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_221722]) ).
tcf(c_250956,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,X0),sz00) = sdtasdt0(xp,sdtasdt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_221722]) ).
tcf(c_250957,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xl),X0),sz00) = sdtasdt0(sdtpldt0(xm,xl),sdtasdt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_221722]) ).
tcf(c_250958,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sz00) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_221722]) ).
tcf(c_250959,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sz00) = sdtasdt0(sdtpldt0(xl,xp),sdtasdt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_221722]) ).
tcf(c_250960,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sz00) = sdtasdt0(sdtasdt0(xl,xq),sdtasdt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_221722]) ).
tcf(c_250961,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sz00) = sdtasdt0(sdtpldt0(xl,xq),sdtasdt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_221722]) ).
tcf(c_250962,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xq),X0),sz00) = sdtasdt0(sdtpldt0(xm,xq),sdtasdt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_221722]) ).
tcf(c_250963,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xp),X0),sz00) = sdtasdt0(sdtpldt0(xm,xp),sdtasdt0(X0,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_221722]) ).
tcf(c_251044,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(xm,xl)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_221723]) ).
tcf(c_251045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = sz00 )
| ( sdtasdt0(sdtasdt0(X3,X4),sdtsldt0(sdtpldt0(X0,X1),X2)) = sdtasdt0(X3,sdtasdt0(X4,sdtsldt0(sdtpldt0(X0,X1),X2))) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_221723]) ).
tcf(c_251046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(X2,X3),sdtsldt0(sdtasdt0(X0,X1),X0)) = sdtasdt0(X2,sdtasdt0(X3,sdtsldt0(sdtasdt0(X0,X1),X0))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_221723]) ).
tcf(c_251048,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(sz00,xl)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(sz00,xl))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222050,c_221723]) ).
tcf(c_251049,plain,
! [X0: $i,X1: $i] :
( ( xm = sz00 )
| ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(sz00,xm)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(sz00,xm))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222049,c_221723]) ).
tcf(c_251050,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(sz00,xn)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(sz00,xn))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222048,c_221723]) ).
tcf(c_251051,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xp )
| ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(sz00,xp)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(sz00,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223548,c_221723]) ).
tcf(c_251052,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xq )
| ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(sz00,xq)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(sz00,xq))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226431,c_221723]) ).
tcf(c_251053,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(sdtasdt0(xl,xq),xl)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(sdtasdt0(xl,xq),xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239041,c_221723]) ).
tcf(c_251054,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xq )
| ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(sz00,xq)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(sz00,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251052,c_225856,c_92]) ).
tcf(c_251059,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(sz00,xp)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(sz00,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251051,c_124385,c_221332,c_92]) ).
tcf(c_251063,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(sz00,xn)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251050,c_92,c_51]) ).
tcf(c_251068,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(sz00,xm)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251049,c_104694,c_92,c_50]) ).
tcf(c_251072,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(sz00,xl)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251048,c_54,c_92,c_49]) ).
tcf(c_251076,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_251044,c_55]) ).
tcf(c_251078,plain,
! [X0: $i,X1: $i] :
( ( xl = sz00 )
| ( sdtasdt0(sdtasdt0(X0,X1),xq) = sdtasdt0(X0,sdtasdt0(X1,xq)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(light_normalisation,[status(thm)],[c_251053,c_239039]) ).
tcf(c_251155,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_98]) ).
tcf(c_251156,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xm,sdtpldt0(xm,xp))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xm,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_221720]) ).
tcf(c_251157,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_221527]) ).
tcf(c_251158,plain,
( ( sdtasdt0(sz00,sK0(xm,sdtpldt0(xm,xp))) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_221296]) ).
tcf(c_251159,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = xm )
| ( sdtpldt0(sdtasdt0(xm,X0),sK0(sdtasdt0(xm,X0),sdtasdt0(sdtpldt0(xm,xp),X0))) = sdtasdt0(sdtpldt0(xm,xp),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_234443]) ).
tcf(c_251160,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = xm )
| ( sdtpldt0(sdtasdt0(X0,xm),sK0(sdtasdt0(X0,xm),sdtasdt0(X0,sdtpldt0(xm,xp)))) = sdtasdt0(X0,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_233482]) ).
tcf(c_251161,plain,
( ( sdtasdt0(sK0(xm,sdtpldt0(xm,xp)),sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_221048]) ).
tcf(c_251162,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xm,sdtpldt0(xm,xp)),X0) = sdtpldt0(X0,sK0(xm,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_220748]) ).
tcf(c_251163,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xm,sdtpldt0(xm,xp))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_220719]) ).
tcf(c_251164,plain,
( ( sdtpldt0(sz00,sK0(xm,sdtpldt0(xm,xp))) = sK0(xm,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_220626]) ).
tcf(c_251165,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xm,sdtpldt0(xm,xp)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xp))),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_220599]) ).
tcf(c_251166,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xm,sdtpldt0(xm,xp)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_220568]) ).
tcf(c_251167,plain,
( ( sdtpldt0(sK0(xm,sdtpldt0(xm,xp)),sz00) = sK0(xm,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_220445]) ).
tcf(c_251168,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = xm )
| ( sdtpldt0(sdtpldt0(xm,X0),sK0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xm,xp),X0))) = sdtpldt0(sdtpldt0(xm,xp),X0) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_222410]) ).
tcf(c_251169,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = xm )
| ( sdtpldt0(sdtpldt0(X0,xm),sK0(sdtpldt0(X0,xm),sdtpldt0(X0,sdtpldt0(xm,xp)))) = sdtpldt0(X0,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_222310]) ).
tcf(c_251170,plain,
( ( sdtpldt0(xm,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),xm) ),
inference(superposition,[status(thm)],[c_249381,c_99]) ).
tcf(c_251171,plain,
( ( sdtpldt0(xm,sK0(xm,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_65]) ).
tcf(c_251172,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_249381,c_240168]) ).
tcf(c_251173,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_249381,c_239627]) ).
tcf(c_251174,plain,
sdtasdt0(sK0(xm,sdtpldt0(xm,xp)),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_251161,c_50,c_249379]) ).
tcf(c_251175,plain,
sdtasdt0(sz00,sK0(xm,sdtpldt0(xm,xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_251158,c_50,c_249379]) ).
tcf(c_251176,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251157,c_50,c_249379]) ).
tcf(c_251180,plain,
sdtpldt0(xm,sK0(xm,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_251171,c_50,c_249379]) ).
tcf(c_251181,plain,
( ( sdtpldt0(xm,xp) = xm )
| ~ sdtlseqdt0(sdtpldt0(xm,xp),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251170,c_50,c_249379]) ).
tcf(c_251184,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251155,c_50,c_249379]) ).
tcf(c_251188,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251173,c_221332,c_50]) ).
tcf(c_251193,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251172,c_221332,c_50]) ).
tcf(c_251198,plain,
sdtpldt0(sK0(xm,sdtpldt0(xm,xp)),sz00) = sK0(xm,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_251167,c_50,c_249379]) ).
tcf(c_251199,plain,
sdtpldt0(sz00,sK0(xm,sdtpldt0(xm,xp))) = sK0(xm,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_251164,c_50,c_249379]) ).
tcf(c_251200,plain,
! [X0: $i] :
( ( sdtpldt0(sK0(xm,sdtpldt0(xm,xp)),X0) = sdtpldt0(X0,sK0(xm,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251162,c_50,c_249379]) ).
tcf(c_251203,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0(xm,sdtpldt0(xm,xp))) = sdtpldt0(X0,sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251163,c_50,c_249379]) ).
tcf(c_251207,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0(xm,sdtpldt0(xm,xp))) = sdtasdt0(X0,sdtasdt0(X1,sK0(xm,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251156,c_50,c_249379]) ).
tcf(c_251211,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK0(xm,sdtpldt0(xm,xp)))) = sdtasdt0(X0,sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251166,c_50,c_249379]) ).
tcf(c_251215,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK0(xm,sdtpldt0(xm,xp)),X0)) = sdtasdt0(sdtpldt0(X1,sK0(xm,sdtpldt0(xm,xp))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251165,c_50,c_249379]) ).
tcf(c_251219,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = xm )
| ( sdtpldt0(sdtpldt0(X0,xm),sK0(sdtpldt0(X0,xm),sdtpldt0(X0,sdtpldt0(xm,xp)))) = sdtpldt0(X0,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251169,c_50,c_249379]) ).
tcf(c_251223,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = xm )
| ( sdtpldt0(sdtpldt0(xm,X0),sK0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xm,xp),X0))) = sdtpldt0(sdtpldt0(xm,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251168,c_50,c_249379]) ).
tcf(c_251227,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = xm )
| ( sdtpldt0(sdtasdt0(X0,xm),sK0(sdtasdt0(X0,xm),sdtasdt0(X0,sdtpldt0(xm,xp)))) = sdtasdt0(X0,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251160,c_50,c_249379]) ).
tcf(c_251232,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = xm )
| ( sdtpldt0(sdtasdt0(xm,X0),sK0(sdtasdt0(xm,X0),sdtasdt0(sdtpldt0(xm,xp),X0))) = sdtasdt0(sdtpldt0(xm,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251159,c_50,c_249379]) ).
tcf(c_251290,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,X0),xp) = sdtasdt0(xl,sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_221724]) ).
tcf(c_251291,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,X0),xp) = sdtasdt0(xm,sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_221724]) ).
tcf(c_251292,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,X0),xp) = sdtasdt0(xn,sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_221724]) ).
tcf(c_251293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X2),xp) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,xp)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_221724]) ).
tcf(c_251294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sK0(X0,X1),X2),xp) = sdtasdt0(sK0(X0,X1),sdtasdt0(X2,xp)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_221724]) ).
tcf(c_251295,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X2),xp) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,xp)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_221724]) ).
tcf(c_251296,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sK1(X0,X1),X2),xp) = sdtasdt0(sK1(X0,X1),sdtasdt0(X2,xp)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_221724]) ).
tcf(c_251297,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X0),xp) = sdtasdt0(sz00,sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_221724]) ).
tcf(c_251298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(X1,X0),X2),xp) = sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(X2,xp)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_221724]) ).
tcf(c_251299,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,X0),xp) = sdtasdt0(xq,sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_221724]) ).
tcf(c_251300,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,X0),xp) = sdtasdt0(xp,sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_221724]) ).
tcf(c_251301,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xl),X0),xp) = sdtasdt0(sdtpldt0(xm,xl),sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_221724]) ).
tcf(c_251302,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xn),X0),xp) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_221724]) ).
tcf(c_251303,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xp),X0),xp) = sdtasdt0(sdtpldt0(xl,xp),sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_221724]) ).
tcf(c_251304,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xq),X0),xp) = sdtasdt0(sdtasdt0(xl,xq),sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_221724]) ).
tcf(c_251305,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xq),X0),xp) = sdtasdt0(sdtpldt0(xl,xq),sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_221724]) ).
tcf(c_251306,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xq),X0),xp) = sdtasdt0(sdtpldt0(xm,xq),sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_221724]) ).
tcf(c_251307,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xp),X0),xp) = sdtasdt0(sdtpldt0(xm,xp),sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_221724]) ).
tcf(c_251379,plain,
sdtasdt0(xl,xm) = sdtasdt0(xm,xl),
inference(superposition,[status(thm)],[c_50,c_221791]) ).
tcf(c_251380,plain,
sdtasdt0(xl,xn) = sdtasdt0(xn,xl),
inference(superposition,[status(thm)],[c_51,c_221791]) ).
tcf(c_251381,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xl) = sdtasdt0(xl,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_221791]) ).
tcf(c_251382,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),xl) = sdtasdt0(xl,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_221791]) ).
tcf(c_251383,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xl) = sdtasdt0(xl,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_221791]) ).
tcf(c_251384,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),xl) = sdtasdt0(xl,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_221791]) ).
tcf(c_251385,plain,
sdtasdt0(xl,sz00) = sdtasdt0(sz00,xl),
inference(superposition,[status(thm)],[c_92,c_221791]) ).
tcf(c_251386,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_94,c_221791]) ).
tcf(c_251387,plain,
sdtasdt0(xl,xq) = sdtasdt0(xq,xl),
inference(superposition,[status(thm)],[c_225856,c_221791]) ).
tcf(c_251388,plain,
sdtasdt0(xl,xp) = sdtasdt0(xp,xl),
inference(superposition,[status(thm)],[c_221332,c_221791]) ).
tcf(c_251389,plain,
sdtasdt0(sdtpldt0(xm,xl),xl) = sdtasdt0(xl,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_232638,c_221791]) ).
tcf(c_251390,plain,
sdtasdt0(sdtpldt0(xl,xn),xl) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_235048,c_221791]) ).
tcf(c_251391,plain,
sdtasdt0(sdtpldt0(xl,xp),xl) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_237278,c_221791]) ).
tcf(c_251392,plain,
sdtasdt0(sdtasdt0(xl,xq),xl) = sdtasdt0(xl,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_239034,c_221791]) ).
tcf(c_251393,plain,
sdtasdt0(sdtpldt0(xl,xq),xl) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_236340,c_221791]) ).
tcf(c_251394,plain,
sdtasdt0(sdtpldt0(xm,xq),xl) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_243914,c_221791]) ).
tcf(c_251395,plain,
sdtasdt0(sdtpldt0(xm,xp),xl) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_249379,c_221791]) ).
tcf(c_251396,plain,
sdtasdt0(xp,xl) = xm,
inference(light_normalisation,[status(thm)],[c_251388,c_221469]) ).
tcf(c_251657,plain,
sdtasdt0(xm,xn) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_51,c_221792]) ).
tcf(c_251658,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xm) = sdtasdt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_221792]) ).
tcf(c_251659,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),xm) = sdtasdt0(xm,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_221792]) ).
tcf(c_251660,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_221792]) ).
tcf(c_251661,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),xm) = sdtasdt0(xm,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_221792]) ).
tcf(c_251662,plain,
sdtasdt0(xm,sz00) = sdtasdt0(sz00,xm),
inference(superposition,[status(thm)],[c_92,c_221792]) ).
tcf(c_251663,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_94,c_221792]) ).
tcf(c_251664,plain,
sdtasdt0(xm,xq) = sdtasdt0(xq,xm),
inference(superposition,[status(thm)],[c_225856,c_221792]) ).
tcf(c_251665,plain,
sdtasdt0(xm,xp) = sdtasdt0(xp,xm),
inference(superposition,[status(thm)],[c_221332,c_221792]) ).
tcf(c_251666,plain,
sdtasdt0(sdtpldt0(xm,xl),xm) = sdtasdt0(xm,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_232638,c_221792]) ).
tcf(c_251667,plain,
sdtasdt0(sdtpldt0(xl,xn),xm) = sdtasdt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_235048,c_221792]) ).
tcf(c_251668,plain,
sdtasdt0(sdtpldt0(xl,xp),xm) = sdtasdt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_237278,c_221792]) ).
tcf(c_251669,plain,
sdtasdt0(sdtasdt0(xl,xq),xm) = sdtasdt0(xm,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_239034,c_221792]) ).
tcf(c_251670,plain,
sdtasdt0(sdtpldt0(xl,xq),xm) = sdtasdt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_236340,c_221792]) ).
tcf(c_251671,plain,
sdtasdt0(sdtpldt0(xm,xq),xm) = sdtasdt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_243914,c_221792]) ).
tcf(c_251672,plain,
sdtasdt0(sdtpldt0(xm,xp),xm) = sdtasdt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_249379,c_221792]) ).
tcf(c_251693,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,xl))
| ( xl = sz00 )
| ( X1 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_251396,c_241605]) ).
tcf(c_251694,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,X1))
| ( sz00 = xp )
| ( X1 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_251396,c_241303]) ).
tcf(c_251695,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( xl = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_251396,c_240695]) ).
tcf(c_251696,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_251396,c_86]) ).
tcf(c_251697,plain,
( sdtlseqdt0(xp,xm)
| ( xl = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_251396,c_82]) ).
tcf(c_251698,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,xl),xm) ),
inference(superposition,[status(thm)],[c_251396,c_244530]) ).
tcf(c_251700,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_251396,c_84]) ).
tcf(c_251701,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(xm,sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_251396,c_244530]) ).
tcf(c_251702,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ sdtlseqdt0(xm,sdtasdt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_251396,c_244131]) ).
tcf(c_251703,plain,
( ( xl = sz00 )
| ( sdtasdt0(xp,xl) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xm,xp) ),
inference(superposition,[status(thm)],[c_251396,c_244030]) ).
tcf(c_251704,plain,
( doDivides0(xp,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_251396,c_133]) ).
tcf(c_251706,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != xm ) ),
inference(superposition,[status(thm)],[c_251396,c_89]) ).
tcf(c_251709,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(sdtasdt0(xp,X0),xm) ),
inference(superposition,[status(thm)],[c_251396,c_244131]) ).
tcf(c_251710,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xm ) ),
inference(superposition,[status(thm)],[c_251396,c_88]) ).
tcf(c_251711,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_251396,c_86]) ).
tcf(c_251712,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_251396,c_84]) ).
tcf(c_251715,plain,
doDivides0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_251704,c_221332,c_49]) ).
tcf(c_251716,plain,
sdtlseqdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_251697,c_54,c_221332,c_49]) ).
tcf(c_251717,plain,
( ( xm = xp )
| ( xl = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xm,xp) ),
inference(light_normalisation,[status(thm)],[c_251703,c_251396]) ).
tcf(c_251718,plain,
( ( xm = xp )
| ~ sdtlseqdt0(xm,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251717,c_54,c_221332,c_49]) ).
tcf(c_251721,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251695,c_54,c_221332,c_49]) ).
tcf(c_251725,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251710,c_124385,c_221332,c_49]) ).
tcf(c_251729,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251706,c_54,c_221332,c_49]) ).
tcf(c_251733,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xp,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251712,c_124385,c_221332,c_49]) ).
tcf(c_251738,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xl))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251711,c_54,c_221332,c_49]) ).
tcf(c_251743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xm)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251700,c_124385,c_221332,c_49]) ).
tcf(c_251748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),xm)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251696,c_54,c_221332,c_49]) ).
tcf(c_251753,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(sdtasdt0(xp,X0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251709,c_124385,c_221332,c_49]) ).
tcf(c_251758,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ sdtlseqdt0(xm,sdtasdt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251702,c_124385,c_221332,c_49]) ).
tcf(c_251763,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(xm,sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251701,c_54,c_221332,c_49]) ).
tcf(c_251768,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,xl),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251698,c_54,c_221332,c_49]) ).
tcf(c_251773,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,X1))
| ( X1 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X1)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251694,c_124385,c_221332,c_49]) ).
tcf(c_251780,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,xl))
| ( X1 = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X1)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251693,c_54,c_221332,c_49]) ).
tcf(c_251841,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_251715,c_78]) ).
tcf(c_251842,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xp )
| ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(xm,xp)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(xm,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251715,c_221723]) ).
tcf(c_251843,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(xp,xm)) = sdtasdt0(X0,sdtasdt0(X1,sK1(xp,xm))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251715,c_221721]) ).
tcf(c_251844,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtpldt0(xm,X0),xp)) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) ),
inference(superposition,[status(thm)],[c_251715,c_238499]) ).
tcf(c_251845,plain,
( ( sz00 = xp )
| ( sdtpldt0(sdtsldt0(xm,xp),sz00) = sdtsldt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251715,c_221331]) ).
tcf(c_251846,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xp )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(xm,xp))) = sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(xm,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251715,c_221330]) ).
tcf(c_251847,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xp )
| ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtsldt0(xm,xp),X0)) = sdtasdt0(sdtpldt0(X1,sdtsldt0(xm,xp)),X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251715,c_221329]) ).
tcf(c_251848,plain,
( ( sz00 = xp )
| ( sdtpldt0(sz00,sdtsldt0(xm,xp)) = sdtsldt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251715,c_221328]) ).
tcf(c_251849,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xp )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xm,xp)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(xm,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251715,c_221327]) ).
tcf(c_251850,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtpldt0(sdtsldt0(xm,xp),X0) = sdtpldt0(X0,sdtsldt0(xm,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251715,c_221326]) ).
tcf(c_251851,plain,
( ( sz00 = xp )
| ( sdtasdt0(sdtsldt0(xm,xp),sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251715,c_221325]) ).
tcf(c_251852,plain,
( ( sz00 = xp )
| ( sdtasdt0(sz00,sdtsldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251715,c_221324]) ).
tcf(c_251853,plain,
( ( sdtasdt0(sz00,sK1(xp,xm)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251715,c_221297]) ).
tcf(c_251854,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK1(xp,sdtpldt0(xm,X0))) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) ),
inference(superposition,[status(thm)],[c_251715,c_232957]) ).
tcf(c_251855,plain,
( ( sdtasdt0(sK1(xp,xm),sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251715,c_221049]) ).
tcf(c_251856,plain,
( ( sdtpldt0(sK1(xp,xm),sz00) = sK1(xp,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251715,c_220958]) ).
tcf(c_251857,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xp,xm))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xp,xm))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251715,c_220957]) ).
tcf(c_251858,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xp,xm),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xp,xm)),X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251715,c_220956]) ).
tcf(c_251859,plain,
( ( sdtpldt0(sz00,sK1(xp,xm)) = sK1(xp,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251715,c_220955]) ).
tcf(c_251860,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xp,xm)) = sdtpldt0(X0,sdtpldt0(X1,sK1(xp,xm))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251715,c_220954]) ).
tcf(c_251861,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xp,xm),X0) = sdtpldt0(X0,sK1(xp,xm)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_251715,c_220953]) ).
tcf(c_251862,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(xm,X1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X1)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_251715,c_230274]) ).
tcf(c_251863,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(xm,xp)) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251715,c_95]) ).
tcf(c_251864,plain,
( ( sdtasdt0(xp,sK1(xp,xm)) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_251715,c_81]) ).
tcf(c_251865,plain,
sdtasdt0(xp,sK1(xp,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_251864,c_221332,c_50]) ).
tcf(c_251866,plain,
sdtasdt0(sK1(xp,xm),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_251855,c_221332,c_50]) ).
tcf(c_251867,plain,
sdtasdt0(sz00,sK1(xp,xm)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_251853,c_221332,c_50]) ).
tcf(c_251868,plain,
sdtpldt0(sz00,sK1(xp,xm)) = sK1(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_251859,c_221332,c_50]) ).
tcf(c_251869,plain,
sdtpldt0(sK1(xp,xm),sz00) = sK1(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_251856,c_221332,c_50]) ).
tcf(c_251870,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251841,c_221332,c_50]) ).
tcf(c_251874,plain,
sdtasdt0(xp,sdtsldt0(xm,xp)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_251863,c_124385,c_221332,c_50]) ).
tcf(c_251875,plain,
sdtasdt0(sz00,sdtsldt0(xm,xp)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_251852,c_124385,c_221332,c_50]) ).
tcf(c_251876,plain,
sdtasdt0(sdtsldt0(xm,xp),sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_251851,c_124385,c_221332,c_50]) ).
tcf(c_251877,plain,
sdtpldt0(sz00,sdtsldt0(xm,xp)) = sdtsldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_251848,c_124385,c_221332,c_50]) ).
tcf(c_251878,plain,
sdtpldt0(sdtsldt0(xm,xp),sz00) = sdtsldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_251845,c_124385,c_221332,c_50]) ).
tcf(c_251879,plain,
! [X0: $i] :
( ( sdtpldt0(sK1(xp,xm),X0) = sdtpldt0(X0,sK1(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251861,c_221332,c_50]) ).
tcf(c_251882,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtpldt0(xm,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X1)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251862,c_221332,c_50]) ).
tcf(c_251888,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK1(xp,sdtpldt0(xm,X0))) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251854,c_221332,c_50]) ).
tcf(c_251892,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xp),X0) = sdtpldt0(X0,sdtsldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251850,c_124385,c_221332,c_50]) ).
tcf(c_251895,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1(xp,xm)) = sdtpldt0(X0,sdtpldt0(X1,sK1(xp,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251860,c_221332,c_50]) ).
tcf(c_251899,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1(xp,xm)) = sdtasdt0(X0,sdtasdt0(X1,sK1(xp,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251843,c_221332,c_50]) ).
tcf(c_251903,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sdtsldt0(sdtpldt0(xm,X0),xp)) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251844,c_124385,c_221332,c_50]) ).
tcf(c_251907,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK1(xp,xm),X0)) = sdtasdt0(sdtpldt0(X1,sK1(xp,xm)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251858,c_221332,c_50]) ).
tcf(c_251911,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK1(xp,xm))) = sdtasdt0(X0,sdtpldt0(X1,sK1(xp,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251857,c_221332,c_50]) ).
tcf(c_251915,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xm,xp)) = sdtpldt0(X0,sdtpldt0(X1,sdtsldt0(xm,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251849,c_124385,c_221332,c_50]) ).
tcf(c_251919,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(xm,xp)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(xm,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251842,c_124385,c_221332,c_50]) ).
tcf(c_251923,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtsldt0(xm,xp),X0)) = sdtasdt0(sdtpldt0(X1,sdtsldt0(xm,xp)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251847,c_124385,c_221332,c_50]) ).
tcf(c_251927,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtsldt0(xm,xp))) = sdtasdt0(X0,sdtpldt0(X1,sdtsldt0(xm,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251846,c_124385,c_221332,c_50]) ).
tcf(c_251964,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xn) = sdtasdt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_221793]) ).
tcf(c_251965,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),xn) = sdtasdt0(xn,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_221793]) ).
tcf(c_251966,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_221793]) ).
tcf(c_251967,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),xn) = sdtasdt0(xn,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_221793]) ).
tcf(c_251968,plain,
sdtasdt0(xn,sz00) = sdtasdt0(sz00,xn),
inference(superposition,[status(thm)],[c_92,c_221793]) ).
tcf(c_251969,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_94,c_221793]) ).
tcf(c_251970,plain,
sdtasdt0(xn,xq) = sdtasdt0(xq,xn),
inference(superposition,[status(thm)],[c_225856,c_221793]) ).
tcf(c_251971,plain,
sdtasdt0(xn,xp) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_221332,c_221793]) ).
tcf(c_251972,plain,
sdtasdt0(sdtpldt0(xm,xl),xn) = sdtasdt0(xn,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_232638,c_221793]) ).
tcf(c_251973,plain,
sdtasdt0(sdtpldt0(xl,xn),xn) = sdtasdt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_235048,c_221793]) ).
tcf(c_251974,plain,
sdtasdt0(sdtpldt0(xl,xp),xn) = sdtasdt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_237278,c_221793]) ).
tcf(c_251975,plain,
sdtasdt0(sdtasdt0(xl,xq),xn) = sdtasdt0(xn,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_239034,c_221793]) ).
tcf(c_251976,plain,
sdtasdt0(sdtpldt0(xl,xq),xn) = sdtasdt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_236340,c_221793]) ).
tcf(c_251977,plain,
sdtasdt0(sdtpldt0(xm,xq),xn) = sdtasdt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_243914,c_221793]) ).
tcf(c_251978,plain,
sdtasdt0(sdtpldt0(xm,xp),xn) = sdtasdt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_249379,c_221793]) ).
tcf(c_252028,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xl,X0),X1) = sdtasdt0(X1,sdtpldt0(xl,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_221794]) ).
tcf(c_252029,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xm,X0),X1) = sdtasdt0(X1,sdtpldt0(xm,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_221794]) ).
tcf(c_252030,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xn,X0),X1) = sdtasdt0(X1,sdtpldt0(xn,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_221794]) ).
tcf(c_252031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) = sdtasdt0(X3,sdtpldt0(sdtpldt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_221794]) ).
tcf(c_252032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtpldt0(sK0(X0,X1),X2),X3) = sdtasdt0(X3,sdtpldt0(sK0(X0,X1),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_221794]) ).
tcf(c_252033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3) = sdtasdt0(X3,sdtpldt0(sdtasdt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_221794]) ).
tcf(c_252034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtpldt0(sK1(X0,X1),X2),X3) = sdtasdt0(X3,sdtpldt0(sK1(X0,X1),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_221794]) ).
tcf(c_252035,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtasdt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_221794]) ).
tcf(c_252036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtpldt0(sdtsldt0(X1,X0),X2),X3) = sdtasdt0(X3,sdtpldt0(sdtsldt0(X1,X0),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_94,c_221794]) ).
tcf(c_252037,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xq,X0),X1) = sdtasdt0(X1,sdtpldt0(xq,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225856,c_221794]) ).
tcf(c_252038,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xp,X0),X1) = sdtasdt0(X1,sdtpldt0(xp,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221332,c_221794]) ).
tcf(c_252039,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,xl),X0),X1) = sdtasdt0(X1,sdtpldt0(sdtpldt0(xm,xl),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_232638,c_221794]) ).
tcf(c_252040,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,xn),X0),X1) = sdtasdt0(X1,sdtpldt0(sdtpldt0(xl,xn),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_235048,c_221794]) ).
tcf(c_252041,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,xp),X0),X1) = sdtasdt0(X1,sdtpldt0(sdtpldt0(xl,xp),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_237278,c_221794]) ).
tcf(c_252042,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,xq),X0),X1) = sdtasdt0(X1,sdtpldt0(sdtasdt0(xl,xq),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_239034,c_221794]) ).
tcf(c_252043,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,xq),X0),X1) = sdtasdt0(X1,sdtpldt0(sdtpldt0(xl,xq),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_236340,c_221794]) ).
tcf(c_252044,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,xq),X0),X1) = sdtasdt0(X1,sdtpldt0(sdtpldt0(xm,xq),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_243914,c_221794]) ).
tcf(c_252045,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,xp),X0),X1) = sdtasdt0(X1,sdtpldt0(sdtpldt0(xm,xp),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249379,c_221794]) ).
tcf(c_252183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK0(X0,X1),X2) = sdtasdt0(X2,sK0(X0,X1)) )
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221491,c_221795]) ).
tcf(c_252184,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtasdt0(sK0(X0,X1),X2) = sdtasdt0(X2,sK0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_221795]) ).
tcf(c_252185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( sdtasdt0(sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)),X3) = sdtasdt0(X3,sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_221795]) ).
tcf(c_252186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( sdtasdt0(sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1)),X3) = sdtasdt0(X3,sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_221795]) ).
tcf(c_252187,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK0(X0,sdtpldt0(X0,X1)),X2) = sdtasdt0(X2,sK0(X0,sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_221795]) ).
tcf(c_252188,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sK0(X0,sdtasdt0(X0,X1)),X2) = sdtasdt0(X2,sK0(X0,sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_221795]) ).
tcf(c_252189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtasdt0(sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)),X3) = sdtasdt0(X3,sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_221795]) ).
tcf(c_252190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtasdt0(sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1)),X3) = sdtasdt0(X3,sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_221795]) ).
tcf(c_252191,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X0),X1) = sdtasdt0(X1,sK0(X0,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_221795]) ).
tcf(c_252192,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtasdt0(sK0(X1,X0),X2) = sdtasdt0(X2,sK0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_221795]) ).
tcf(c_252193,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(sz00,sz00),X0) = sdtasdt0(X0,sK0(sz00,sz00)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_221440,c_221795]) ).
tcf(c_252194,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xl,xl),X0) = sdtasdt0(X0,sK0(xl,xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222115,c_221795]) ).
tcf(c_252195,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xm,xm),X0) = sdtasdt0(X0,sK0(xm,xm)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222114,c_221795]) ).
tcf(c_252196,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xn,xn),X0) = sdtasdt0(X0,sK0(xn,xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222113,c_221795]) ).
tcf(c_252197,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(sz00,xl),X0) = sdtasdt0(X0,sK0(sz00,xl)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222112,c_221795]) ).
tcf(c_252198,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(sz00,xm),X0) = sdtasdt0(X0,sK0(sz00,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222111,c_221795]) ).
tcf(c_252199,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(sz00,xn),X0) = sdtasdt0(X0,sK0(sz00,xn)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_222110,c_221795]) ).
tcf(c_252200,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xq,xp),X0) = sdtasdt0(X0,sK0(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225405,c_221795]) ).
tcf(c_252201,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(sz00,xq),X0) = sdtasdt0(X0,sK0(sz00,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_226977,c_221795]) ).
tcf(c_252202,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xl,sdtpldt0(xm,xl)),X0) = sdtasdt0(X0,sK0(xl,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232637,c_221795]) ).
tcf(c_252203,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xn,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sK0(xn,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_235047,c_221795]) ).
tcf(c_252204,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(sz00,xp),X0) = sdtasdt0(X0,sK0(sz00,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_223873,c_221795]) ).
tcf(c_252205,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xp,xp),X0) = sdtasdt0(X0,sK0(xp,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_224410,c_221795]) ).
tcf(c_252206,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xp,sdtpldt0(xl,xp)),X0) = sdtasdt0(X0,sK0(xp,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237279,c_221795]) ).
tcf(c_252207,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xq,xq),X0) = sdtasdt0(X0,sK0(xq,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_227416,c_221795]) ).
tcf(c_252208,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(xl,sdtpldt0(xl,X0)),X1) = sdtasdt0(X1,sK0(xl,sdtpldt0(xl,X0))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_223116,c_221795]) ).
tcf(c_252209,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(sz00,sdtpldt0(sz00,X0)),X1) = sdtasdt0(X1,sK0(sz00,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_226002,c_221795]) ).
tcf(c_252210,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(xm,sdtpldt0(xm,X0)),X1) = sdtasdt0(X1,sK0(xm,sdtpldt0(xm,X0))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_223422,c_221795]) ).
tcf(c_252211,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(xn,sdtpldt0(xn,X0)),X1) = sdtasdt0(X1,sK0(xn,sdtpldt0(xn,X0))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_225602,c_221795]) ).
tcf(c_252212,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtasdt0(sK0(xl,sdtpldt0(sz00,X0)),X1) = sdtasdt0(X1,sK0(xl,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220835,c_221795]) ).
tcf(c_252213,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtasdt0(sK0(xm,sdtpldt0(sz00,X0)),X1) = sdtasdt0(X1,sK0(xm,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220878,c_221795]) ).
tcf(c_252214,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtasdt0(sK0(xn,sdtpldt0(sz00,X0)),X1) = sdtasdt0(X1,sK0(xn,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221027,c_221795]) ).
tcf(c_252215,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtasdt0(sK0(sdtpldt0(sz00,X0),xl),X1) = sdtasdt0(X1,sK0(sdtpldt0(sz00,X0),xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220830,c_221795]) ).
tcf(c_252216,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtasdt0(sK0(sdtpldt0(sz00,X0),xm),X1) = sdtasdt0(X1,sK0(sdtpldt0(sz00,X0),xm)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_220873,c_221795]) ).
tcf(c_252217,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtasdt0(sK0(sdtpldt0(sz00,X0),xn),X1) = sdtasdt0(X1,sK0(sdtpldt0(sz00,X0),xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_221022,c_221795]) ).
tcf(c_252218,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtpldt0(X0,sz00)),X1) = sdtasdt0(X1,sK0(sz00,sdtpldt0(X0,sz00))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_226131,c_221795]) ).
tcf(c_252219,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtasdt0(sK0(xl,sdtpldt0(X0,sz00)),X1) = sdtasdt0(X1,sK0(xl,sdtpldt0(X0,sz00))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220514,c_221795]) ).
tcf(c_252220,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtasdt0(sK0(xm,sdtpldt0(X0,sz00)),X1) = sdtasdt0(X1,sK0(xm,sdtpldt0(X0,sz00))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220552,c_221795]) ).
tcf(c_252221,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtasdt0(sK0(xn,sdtpldt0(X0,sz00)),X1) = sdtasdt0(X1,sK0(xn,sdtpldt0(X0,sz00))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220665,c_221795]) ).
tcf(c_252222,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(xl,sdtpldt0(X0,xl)),X1) = sdtasdt0(X1,sK0(xl,sdtpldt0(X0,xl))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_229378,c_221795]) ).
tcf(c_252223,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(xm,sdtpldt0(X0,xm)),X1) = sdtasdt0(X1,sK0(xm,sdtpldt0(X0,xm))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_230093,c_221795]) ).
tcf(c_252224,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(xn,sdtpldt0(X0,xn)),X1) = sdtasdt0(X1,sK0(xn,sdtpldt0(X0,xn))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(superposition,[status(thm)],[c_231796,c_221795]) ).
tcf(c_252225,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtasdt0(sK0(sdtpldt0(X0,sz00),xl),X1) = sdtasdt0(X1,sK0(sdtpldt0(X0,sz00),xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220499,c_221795]) ).
tcf(c_252226,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtasdt0(sK0(sdtpldt0(X0,sz00),xm),X1) = sdtasdt0(X1,sK0(sdtpldt0(X0,sz00),xm)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220537,c_221795]) ).
tcf(c_252227,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtasdt0(sK0(sdtpldt0(X0,sz00),xn),X1) = sdtasdt0(X1,sK0(sdtpldt0(X0,sz00),xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(superposition,[status(thm)],[c_220650,c_221795]) ).
tcf(c_252228,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xl,xm),X0) = sdtasdt0(X0,sK0(xl,xm)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_225018,c_221795]) ).
tcf(c_252229,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(xl,X0)),X1) = sdtasdt0(X1,sK0(sz00,sdtasdt0(xl,X0))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(superposition,[status(thm)],[c_233984,c_221795]) ).
tcf(c_252230,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(xm,X0)),X1) = sdtasdt0(X1,sK0(sz00,sdtasdt0(xm,X0))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_234125,c_221795]) ).
tcf(c_252231,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(xn,X0)),X1) = sdtasdt0(X1,sK0(sz00,sdtasdt0(xn,X0))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_235480,c_221795]) ).
tcf(c_252232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sK0(X2,sdtasdt0(X0,X1)),X3) = sdtasdt0(X3,sK0(X2,sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_240695,c_221795]) ).
tcf(c_252233,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(X0,xl)),X1) = sdtasdt0(X1,sK0(sz00,sdtasdt0(X0,xl))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(superposition,[status(thm)],[c_238333,c_221795]) ).
tcf(c_252234,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(X0,xm)),X1) = sdtasdt0(X1,sK0(sz00,sdtasdt0(X0,xm))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_242676,c_221795]) ).
tcf(c_252235,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xq,sdtpldt0(xl,xq)),X0) = sdtasdt0(X0,sK0(xq,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_236341,c_221795]) ).
tcf(c_252236,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xq,sdtpldt0(xm,xq)),X0) = sdtasdt0(X0,sK0(xq,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_243915,c_221795]) ).
tcf(c_252237,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xp,sdtpldt0(xm,xp)),X0) = sdtasdt0(X0,sK0(xp,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249380,c_221795]) ).
tcf(c_252238,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xm,sdtpldt0(xm,xp)),X0) = sdtasdt0(X0,sK0(xm,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_249381,c_221795]) ).
tcf(c_252239,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xm,sdtpldt0(xm,xl)),X0) = sdtasdt0(X0,sK0(xm,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_232639,c_221795]) ).
tcf(c_252240,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xn,sdtasdt0(xl,xq)),X0) = sdtasdt0(X0,sK0(xn,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239062,c_221795]) ).
tcf(c_252241,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xm,sdtasdt0(xl,xq)),X0) = sdtasdt0(X0,sK0(xm,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_239040,c_221795]) ).
tcf(c_252242,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xl,sdtpldt0(xl,xp)),X0) = sdtasdt0(X0,sK0(xl,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_237280,c_221795]) ).
tcf(c_252243,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xq,xq),X0) = sdtasdt0(X0,sK0(xq,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252207,c_225856]) ).
tcf(c_252246,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xp,xp),X0) = sdtasdt0(X0,sK0(xp,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252205,c_221332]) ).
tcf(c_252249,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xn,xn),X0) = sdtasdt0(X0,sK0(xn,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252196,c_51]) ).
tcf(c_252252,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xm,xm),X0) = sdtasdt0(X0,sK0(xm,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252195,c_50]) ).
tcf(c_252255,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xl,xl),X0) = sdtasdt0(X0,sK0(xl,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252194,c_49]) ).
tcf(c_252258,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_252193,c_225157]) ).
tcf(c_252263,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xl,xm),X0) = sdtasdt0(X0,sK0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252228,c_50,c_49]) ).
tcf(c_252266,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_252204,c_225161]) ).
tcf(c_252268,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(sz00,xq),X0) = sdtasdt0(X0,sK0(sz00,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252201,c_225856,c_92]) ).
tcf(c_252271,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xq,xp),X0) = sdtasdt0(X0,sK0(xq,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252200,c_225856,c_221332]) ).
tcf(c_252274,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_252199,c_225163]) ).
tcf(c_252276,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_252198,c_225165]) ).
tcf(c_252278,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xl) = sdtasdt0(xl,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(light_normalisation,[status(thm)],[c_252197,c_225167]) ).
tcf(c_252290,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xl,sdtpldt0(xl,xp)),X0) = sdtasdt0(X0,sK0(xl,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252242,c_49,c_237278]) ).
tcf(c_252293,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xm,sdtasdt0(xl,xq)),X0) = sdtasdt0(X0,sK0(xm,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252241,c_50,c_239034]) ).
tcf(c_252296,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xn,sdtasdt0(xl,xq)),X0) = sdtasdt0(X0,sK0(xn,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252240,c_51,c_239034]) ).
tcf(c_252299,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xm,sdtpldt0(xm,xl)),X0) = sdtasdt0(X0,sK0(xm,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252239,c_50,c_232638]) ).
tcf(c_252302,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xm,sdtpldt0(xm,xp)),X0) = sdtasdt0(X0,sK0(xm,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252238,c_50,c_249379]) ).
tcf(c_252305,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xp,sdtpldt0(xm,xp)),X0) = sdtasdt0(X0,sK0(xp,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252237,c_221332,c_249379]) ).
tcf(c_252308,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xq,sdtpldt0(xm,xq)),X0) = sdtasdt0(X0,sK0(xq,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252236,c_225856,c_243914]) ).
tcf(c_252311,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xq,sdtpldt0(xl,xq)),X0) = sdtasdt0(X0,sK0(xq,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252235,c_225856,c_236340]) ).
tcf(c_252314,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xp,sdtpldt0(xl,xp)),X0) = sdtasdt0(X0,sK0(xp,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252206,c_221332,c_237278]) ).
tcf(c_252317,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xn,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sK0(xn,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252203,c_51,c_235048]) ).
tcf(c_252320,plain,
! [X0: $i] :
( ( sdtasdt0(sK0(xl,sdtpldt0(xm,xl)),X0) = sdtasdt0(X0,sK0(xl,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252202,c_49,c_232638]) ).
tcf(c_252328,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(xn,sdtpldt0(xn,X0)),X1) = sdtasdt0(X1,sK0(xn,sdtpldt0(xn,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252211,c_51]) ).
tcf(c_252333,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(sz00,sdtpldt0(sz00,X0)),X1) = sdtasdt0(X1,sK0(sz00,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252209,c_92]) ).
tcf(c_252338,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(xl,sdtpldt0(xl,X0)),X1) = sdtasdt0(X1,sK0(xl,sdtpldt0(xl,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252208,c_49]) ).
tcf(c_252348,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(X0,xm)),X1) = sdtasdt0(X1,sK0(sz00,sdtasdt0(X0,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252234,c_92]) ).
tcf(c_252354,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(X0,xl)),X1) = sdtasdt0(X1,sK0(sz00,sdtasdt0(X0,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252233,c_92]) ).
tcf(c_252360,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(xm,X0)),X1) = sdtasdt0(X1,sK0(sz00,sdtasdt0(xm,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252230,c_92]) ).
tcf(c_252366,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(xl,X0)),X1) = sdtasdt0(X1,sK0(sz00,sdtasdt0(xl,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252229,c_92]) ).
tcf(c_252372,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(xn,sdtpldt0(X0,xn)),X1) = sdtasdt0(X1,sK0(xn,sdtpldt0(X0,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252224,c_51]) ).
tcf(c_252378,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(xm,sdtpldt0(X0,xm)),X1) = sdtasdt0(X1,sK0(xm,sdtpldt0(X0,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252223,c_50]) ).
tcf(c_252384,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(xl,sdtpldt0(X0,xl)),X1) = sdtasdt0(X1,sK0(xl,sdtpldt0(X0,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252222,c_49]) ).
tcf(c_252390,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtpldt0(X0,sz00)),X1) = sdtasdt0(X1,sK0(sz00,sdtpldt0(X0,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252218,c_92]) ).
tcf(c_252396,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0(xm,sdtpldt0(xm,X0)),X1) = sdtasdt0(X1,sK0(xm,sdtpldt0(xm,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252210,c_50]) ).
tcf(c_252408,plain,
! [X0: $i,X1: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtasdt0(sK0(sz00,sdtasdt0(xn,X0)),X1) = sdtasdt0(X1,sK0(sz00,sdtasdt0(xn,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252231,c_92]) ).
tcf(c_252415,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtasdt0(sK0(sdtpldt0(X0,sz00),xn),X1) = sdtasdt0(X1,sK0(sdtpldt0(X0,sz00),xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252227,c_51]) ).
tcf(c_252422,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtasdt0(sK0(sdtpldt0(X0,sz00),xm),X1) = sdtasdt0(X1,sK0(sdtpldt0(X0,sz00),xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252226,c_50]) ).
tcf(c_252429,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtasdt0(sK0(sdtpldt0(X0,sz00),xl),X1) = sdtasdt0(X1,sK0(sdtpldt0(X0,sz00),xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252225,c_49]) ).
tcf(c_252436,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtasdt0(sK0(xn,sdtpldt0(X0,sz00)),X1) = sdtasdt0(X1,sK0(xn,sdtpldt0(X0,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252221,c_51]) ).
tcf(c_252443,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtasdt0(sK0(xm,sdtpldt0(X0,sz00)),X1) = sdtasdt0(X1,sK0(xm,sdtpldt0(X0,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252220,c_50]) ).
tcf(c_252450,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtasdt0(sK0(xl,sdtpldt0(X0,sz00)),X1) = sdtasdt0(X1,sK0(xl,sdtpldt0(X0,sz00))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252219,c_49]) ).
tcf(c_252457,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtasdt0(sK0(sdtpldt0(sz00,X0),xn),X1) = sdtasdt0(X1,sK0(sdtpldt0(sz00,X0),xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252217,c_51]) ).
tcf(c_252464,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtasdt0(sK0(sdtpldt0(sz00,X0),xm),X1) = sdtasdt0(X1,sK0(sdtpldt0(sz00,X0),xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252216,c_50]) ).
tcf(c_252471,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtasdt0(sK0(sdtpldt0(sz00,X0),xl),X1) = sdtasdt0(X1,sK0(sdtpldt0(sz00,X0),xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252215,c_49]) ).
tcf(c_252478,plain,
! [X0: $i,X1: $i] :
( ( X0 = xn )
| ( sdtasdt0(sK0(xn,sdtpldt0(sz00,X0)),X1) = sdtasdt0(X1,sK0(xn,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252214,c_51]) ).
tcf(c_252485,plain,
! [X0: $i,X1: $i] :
( ( X0 = xm )
| ( sdtasdt0(sK0(xm,sdtpldt0(sz00,X0)),X1) = sdtasdt0(X1,sK0(xm,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252213,c_50]) ).
tcf(c_252492,plain,
! [X0: $i,X1: $i] :
( ( X0 = xl )
| ( sdtasdt0(sK0(xl,sdtpldt0(sz00,X0)),X1) = sdtasdt0(X1,sK0(xl,sdtpldt0(sz00,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252212,c_49]) ).
tcf(c_252702,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_252492,c_252485,c_252478,c_252471,c_252464,c_252457,c_252450,c_252443,c_252436,c_252429,c_252422,c_252415,c_252408,c_252396,c_252390,c_252384,c_252378,c_252372,c_252366,c_252360,c_252354,c_252348,c_252338,c_252333,c_252328,c_252308,c_252305,c_252302,c_252299,c_252290,c_252268,c_252242,c_252239,c_252238,c_252237,c_252236,c_252234,c_252233,c_252232,c_252231,c_252230,c_252229,c_252227,c_252226,c_252225,c_252224,c_252223,c_252222,c_252221,c_252220,c_252219,c_252218,c_252217,c_252216,c_252215,c_252214,c_252213,c_252212,c_252211,c_252210,c_252209,c_252208,c_252183,c_252045,c_252044,c_252043,c_252042,c_252041,c_252040,c_252039,c_252038,c_252037,c_252036,c_252035,c_252034,c_252033,c_252032,c_252031,c_252030,c_252029,c_252028,c_251927,c_251923,c_251919,c_251915,c_251911,c_251907,c_251903,c_251899,c_251895,c_251892,c_251888,c_251882,c_251879,c_251878,c_251877,c_251876,c_251875,c_251874,c_251869,c_251868,c_251867,c_251866,c_251862,c_251861,c_251860,c_251859,c_251858,c_251857,c_251856,c_251855,c_251854,c_251853,c_251852,c_251851,c_251850,c_251849,c_251848,c_251847,c_251846,c_251845,c_251844,c_251843,c_251842,c_251780,c_251773,c_251768,c_251763,c_251758,c_251753,c_251717,c_251709,c_251703,c_251702,c_251701,c_251698,c_251695,c_251694,c_251693,c_251307,c_251306,c_251305,c_251304,c_251303,c_251302,c_251301,c_251300,c_251299,c_251298,c_251297,c_251296,c_251295,c_251294,c_251293,c_251292,c_251291,c_251290,c_251232,c_251227,c_251223,c_251219,c_251215,c_251211,c_251207,c_251203,c_251200,c_251199,c_251198,c_251193,c_251188,c_251184,c_251181,c_251180,c_251176,c_251175,c_251174,c_251173,c_251172,c_251171,c_251170,c_251169,c_251168,c_251167,c_251166,c_251165,c_251164,c_251163,c_251162,c_251161,c_251160,c_251159,c_251158,c_251157,c_251156,c_251155,c_251078,c_251076,c_251072,c_251068,c_251063,c_251059,c_251054,c_251053,c_251052,c_251051,c_251050,c_251049,c_251048,c_251046,c_251045,c_251044,c_250963,c_250962,c_250961,c_250960,c_250959,c_250958,c_250957,c_250956,c_250955,c_250954,c_250953,c_250952,c_250951,c_250950,c_250949,c_250948,c_250947,c_250946,c_250856,c_250852,c_250848,c_250844,c_250840,c_250836,c_250832,c_250827,c_250826,c_250825,c_250824,c_250823,c_250822,c_250821,c_250820,c_250819,c_250818,c_250731,c_250726,c_250722,c_250718,c_250714,c_250710,c_250706,c_250702,c_250699,c_250698,c_250697,c_250692,c_250687,c_250675,c_250674,c_250673,c_250672,c_250671,c_250668,c_250667,c_250666,c_250665,c_250664,c_250663,c_250662,c_250661,c_250660,c_250659,c_250658,c_250657,c_250656,c_250655,c_250411,c_250410,c_250409,c_250408,c_250407,c_250406,c_250405,c_250404,c_250403,c_250402,c_250401,c_250400,c_250395,c_250394,c_250393,c_250392,c_250391,c_250390,c_250389,c_250388,c_250387,c_250385,c_250384,c_250383,c_250382,c_250381,c_250380,c_250379,c_250178,c_250170,c_250162,c_250154,c_250146,c_250138,c_250130,c_250122,c_250114,c_250106,c_250098,c_250090,c_250082,c_250068,c_250061,c_250054,c_250047,c_250040,c_250033,c_250026,c_250019,c_250012,c_250000,c_249994,c_249988,c_249978,c_249974,c_249970,c_249966,c_249962,c_249958,c_249954,c_249950,c_249946,c_249932,c_249930,c_249928,c_249924,c_249920,c_249918,c_249914,c_249908,c_249904,c_249900,c_249896,c_249892,c_249888,c_249887,c_249886,c_249885,c_249884,c_249883,c_249882,c_249881,c_249880,c_249879,c_249878,c_249877,c_249876,c_249875,c_249874,c_249873,c_249872,c_249871,c_249870,c_249869,c_249868,c_249867,c_249866,c_249865,c_249864,c_249863,c_249862,c_249861,c_249860,c_249859,c_249858,c_249857,c_249856,c_249855,c_249854,c_249853,c_249852,c_249851,c_249850,c_249849,c_249848,c_249847,c_249846,c_249845,c_249844,c_249843,c_249842,c_249841,c_249840,c_249839,c_249838,c_249837,c_249836,c_249835,c_249834,c_249833,c_249832,c_249831,c_249830,c_249690,c_249689,c_249688,c_249687,c_249686,c_249685,c_249684,c_249683,c_249682,c_249681,c_249680,c_249679,c_249678,c_249677,c_249676,c_249675,c_249674,c_249542,c_249541,c_249540,c_249539,c_249538,c_249537,c_249536,c_249535,c_249534,c_249533,c_249532,c_249531,c_249530,c_249529,c_249528,c_249527,c_249526,c_249444,c_249437,c_249432,c_249427,c_249422,c_249417,c_249382,c_249381,c_249378,c_249377,c_249375,c_249374,c_249370,c_249366,c_249359,c_249358,c_249264,c_249263,c_249262,c_249261,c_249260,c_249259,c_249258,c_249257,c_249256,c_249255,c_249254,c_249253,c_249252,c_249251,c_249250,c_249249,c_249248,c_249178,c_249177,c_249176,c_249175,c_249174,c_249173,c_249172,c_249171,c_249170,c_249169,c_249168,c_249167,c_249166,c_249165,c_249164,c_249163,c_249162,c_249149,c_249117,c_249112,c_249108,c_249104,c_249100,c_249096,c_249092,c_249089,c_249088,c_249087,c_249082,c_249077,c_249065,c_249064,c_249063,c_249062,c_249061,c_249058,c_249057,c_249056,c_249055,c_249054,c_249053,c_249052,c_249051,c_249050,c_249049,c_249048,c_249047,c_249046,c_244853,c_244852,c_244851,c_244850,c_244849,c_244848,c_244847,c_244846,c_244845,c_244844,c_244843,c_244842,c_244837,c_244836,c_244835,c_244834,c_244833,c_244832,c_244831,c_244830,c_244829,c_244827,c_244826,c_244825,c_244787,c_244780,c_244773,c_244766,c_244759,c_244752,c_244745,c_244738,c_244731,c_244724,c_244717,c_244710,c_244703,c_244696,c_244689,c_244682,c_244675,c_244668,c_244661,c_244654,c_244637,c_244631,c_244626,c_244620,c_244615,c_244610,c_244604,c_244603,c_244602,c_244600,c_244599,c_244598,c_244597,c_244596,c_244595,c_244594,c_244593,c_244591,c_244590,c_244589,c_244588,c_244587,c_244583,c_244581,c_244580,c_244578,c_244577,c_244576,c_244575,c_244574,c_244573,c_244572,c_244571,c_244569,c_244568,c_244567,c_244566,c_244565,c_244561,c_244559,c_244558,c_244553,c_244552,c_244530,c_244521,c_244352,c_244346,c_244340,c_244334,c_244328,c_244321,c_244315,c_244308,c_244302,c_244296,c_244290,c_244284,c_244278,c_244272,c_244265,c_244259,c_244252,c_244246,c_244237,c_244231,c_244226,c_244220,c_244215,c_244210,c_244204,c_244203,c_244202,c_244201,c_244199,c_244198,c_244197,c_244196,c_244195,c_244194,c_244193,c_244192,c_244190,c_244186,c_244185,c_244184,c_244181,c_244180,c_244179,c_244177,c_244176,c_244175,c_244174,c_244173,c_244172,c_244171,c_244170,c_244168,c_244164,c_244163,c_244162,c_244159,c_244158,c_244154,c_244153,c_244131,c_244122,c_244091,c_244089,c_244084,c_244083,c_244081,c_244079,c_244077,c_244075,c_244073,c_244071,c_244069,c_244068,c_244067,c_244064,c_244063,c_244062,c_244061,c_244060,c_244059,c_244058,c_244055,c_244046,c_244044,c_244045,c_244042,c_244030,c_243986,c_243979,c_243974,c_243969,c_243964,c_243959,c_243919,c_243916,c_243913,c_243912,c_243910,c_243909,c_243905,c_243901,c_243894,c_243893,c_243677,c_243671,c_243665,c_243659,c_243653,c_243647,c_243641,c_243635,c_243629,c_243623,c_243617,c_243611,c_243606,c_243601,c_243596,c_243591,c_243586,c_243581,c_243576,c_243571,c_243566,c_243561,c_243556,c_243551,c_243546,c_243537,c_243531,c_243526,c_243521,c_243516,c_243511,c_243506,c_243501,c_243496,c_243491,c_243486,c_243481,c_243475,c_243474,c_243473,c_243472,c_243471,c_243470,c_243469,c_243468,c_243467,c_243466,c_243465,c_243464,c_243463,c_243462,c_243461,c_243460,c_243459,c_243458,c_243457,c_243456,c_243455,c_243454,c_243453,c_243452,c_243451,c_243450,c_243449,c_243448,c_243447,c_243446,c_243445,c_243444,c_243443,c_243442,c_243441,c_243440,c_243439,c_243438,c_243437,c_243436,c_243435,c_243434,c_243433,c_243432,c_243431,c_243430,c_243425,c_243424,c_243405,c_243397,c_243200,c_243194,c_243188,c_243182,c_243176,c_243170,c_243164,c_243158,c_243152,c_243146,c_243140,c_243134,c_243129,c_243124,c_243119,c_243114,c_243109,c_243104,c_243099,c_243094,c_243089,c_243084,c_243076,c_243071,c_243066,c_243061,c_243055,c_243049,c_243044,c_243039,c_243034,c_243029,c_243024,c_243019,c_243014,c_243009,c_243004,c_242992,c_242991,c_242990,c_242989,c_242988,c_242987,c_242986,c_242985,c_242984,c_242983,c_242982,c_242981,c_242980,c_242979,c_242978,c_242977,c_242976,c_242975,c_242974,c_242973,c_242972,c_242971,c_242970,c_242969,c_242968,c_242967,c_242966,c_242965,c_242964,c_242963,c_242962,c_242961,c_242960,c_242959,c_242958,c_242957,c_242956,c_242955,c_242954,c_242953,c_242952,c_242951,c_242950,c_242949,c_242948,c_242947,c_242944,c_242943,c_242942,c_242923,c_242915,c_242811,c_242803,c_242796,c_242789,c_242782,c_242775,c_242768,c_242762,c_242755,c_242750,c_242745,c_242738,c_242731,c_242725,c_242720,c_242713,c_242708,c_242703,c_242702,c_242701,c_242700,c_242699,c_242698,c_242697,c_242696,c_242695,c_242694,c_242693,c_242692,c_242691,c_242690,c_242689,c_242688,c_242687,c_242686,c_242685,c_242676,c_242660,c_242592,c_242587,c_242583,c_242579,c_242575,c_242571,c_242567,c_242561,c_242556,c_242539,c_242536,c_242535,c_242532,c_242531,c_242529,c_242528,c_242526,c_242523,c_242522,c_242520,c_242295,c_242287,c_242279,c_242271,c_242263,c_242255,c_242247,c_242239,c_242231,c_242223,c_242215,c_242207,c_242199,c_242185,c_242178,c_242171,c_242164,c_242157,c_242150,c_242143,c_242136,c_242118,c_242112,c_242106,c_242102,c_242098,c_242094,c_242090,c_242086,c_242082,c_242078,c_242018,c_242014,c_242013,c_242012,c_242011,c_242010,c_242009,c_242008,c_242007,c_242006,c_242005,c_242004,c_242003,c_242002,c_242001,c_242000,c_241999,c_241998,c_241997,c_241996,c_241995,c_241994,c_241993,c_241992,c_241991,c_241990,c_241989,c_241988,c_241987,c_241986,c_241985,c_241984,c_241982,c_241979,c_241978,c_241977,c_241975,c_241974,c_241973,c_241972,c_241969,c_241960,c_241959,c_241852,c_241843,c_241834,c_241825,c_241816,c_241807,c_241798,c_241789,c_241780,c_241771,c_241755,c_241739,c_241732,c_241725,c_241717,c_241710,c_241703,c_241695,c_241688,c_241681,c_241675,c_241667,c_241666,c_241664,c_241663,c_241662,c_241661,c_241660,c_241659,c_241658,c_241657,c_241655,c_241654,c_241653,c_241652,c_241651,c_241647,c_241645,c_241644,c_241643,c_241642,c_241641,c_241640,c_241638,c_241637,c_241636,c_241635,c_241639,c_241633,c_241605,c_241536,c_241528,c_241520,c_241512,c_241504,c_241495,c_241487,c_241478,c_241470,c_241445,c_241438,c_241430,c_241423,c_241416,c_241408,c_241401,c_241394,c_241386,c_241371,c_241366,c_241365,c_241364,c_241363,c_241361,c_241360,c_241359,c_241358,c_241357,c_241356,c_241355,c_241354,c_24135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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM473+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/15.45 % Computer : n004.cluster.edu
% 0.16/15.45 % Model : x86_64 x86_64
% 0.16/15.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/15.45 % Memory : 8046.5625MB
% 0.16/15.45 % OS : Linux 6.8.0-71-generic
% 0.16/15.45 % CPULimit : 300
% 0.16/15.45 % WCLimit : 300
% 0.16/15.45 % DateTime : Thu Sep 24 04:09:53 UTC 2026
% 0.16/15.46 % CPUTime :
% 0.16/15.46 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.21/15.52 Running first-order theorem proving
% 0.21/15.52 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/15.54
% 0.21/15.54 % ======== iProver multi-core TPTP/SMT =========
% 0.21/15.54
% 0.21/15.54 % Detected problem language: tptp
% 0.21/15.56 % Proving...
% 117.52/45.93 % SZS status Started for theBenchmark.p
% 117.52/45.93 % SZS status Theorem for theBenchmark.p
% 117.52/45.93
% 117.52/45.93 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 117.52/45.93
% 117.52/45.93 % ------ iProver source info
% 117.52/45.93
% 117.52/45.93 % git: date: 2026-07-19 20:42:38 +0200
% 117.52/45.93 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 117.52/45.93 % git: non_committed_changes: false
% 117.52/45.93
% 117.52/45.93 % ------ Parsing...
% 117.52/45.93 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 117.52/45.93
% 117.52/45.93 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 117.52/45.93
% 117.52/45.93 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 117.52/45.93
% 117.52/45.93 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 117.52/45.93 % ------ Proving...
% 117.52/45.93 % ------ Problem Properties
% 117.52/45.93
% 117.52/45.93 %
% 117.52/45.93 % clauses 50
% 117.52/45.93 % conjectures 1
% 117.52/45.93 % EPR 12
% 117.52/45.93 % Horn 38
% 117.52/45.93 % unary 11
% 117.52/45.93 % binary 5
% 117.52/45.93 % lits 177
% 117.52/45.93 % lits eq 45
% 117.52/45.93 % fd_pure 0
% 117.52/45.93 % fd_pseudo 0
% 117.52/45.93 % fd_cond 5
% 117.52/45.93 % fd_pseudo_cond 9
% 117.52/45.93 % AC symbols 0
% 117.52/45.93
% 117.52/45.93 % ------ Schedule dynamic 5 is on
% 117.52/45.93
% 117.52/45.93 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 117.52/45.93
% 117.52/45.93
% 117.52/45.93 % ------
% 117.52/45.93 % Current options:
% 117.52/45.93 % ------
% 117.52/45.93
% 117.52/45.93
% 117.52/45.93 %
% 117.52/45.93
% 117.52/45.93 % ------ Proving...
% 117.52/45.93 % Proof_search_loop: time out after: 1962 full_loop iterations
% 117.52/45.93
% 117.52/45.93 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 117.52/45.93
% 117.52/45.93
% 117.52/45.93 % ------
% 117.52/45.93 % Current options:
% 117.52/45.93 % ------
% 117.52/45.93
% 117.52/45.93
% 117.52/45.93 %
% 117.52/45.93
% 117.52/45.93 % ------ Proving...
% 117.52/45.93 % Proof_search_loop: time out after: 3796 full_loop iterations
% 117.52/45.93
% 117.52/45.93 % ------ Option_1: Negative Selections Time Limit: 35.
% 117.52/45.93
% 117.52/45.93
% 117.52/45.93 % ------
% 117.52/45.93 % Current options:
% 117.52/45.93 % ------
% 117.52/45.93
% 117.52/45.93
% 117.52/45.93 %
% 117.52/45.93
% 117.52/45.93 % ------ Proving...
% 117.52/45.93 %
% 117.52/45.93
% 117.52/45.93 % SZS status Theorem for theBenchmark.p
% 117.52/45.93
% 117.52/45.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 228.09/46.10
% 228.09/46.10
%------------------------------------------------------------------------------