%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM474+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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:25:01 PM UTC 2026
% Result : Theorem 33.06s 6.87s
% Output : CNFRefutation 43.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 35
% Syntax : Number of formulae : 11297 (3245 unt; 0 def)
% Number of atoms : 38774 (13749 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 49613 (22136 ~;27314 |; 109 &)
% ( 12 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 7 ( 2 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 : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 7413 ( 0 sgn7403 !; 10 ?;7075 :)
% 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(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
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(xp,xq),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1395) ).
fof(f40,axiom,
xr = sdtmndt0(xq,xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1422) ).
fof(f41,conjecture,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f42,negated_conjecture,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
inference(negated_conjecture,[status(cth)],[f41]) ).
fof(f43,plain,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
inference(flattening,[],[f42]) ).
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(ennf_transformation,[],[f24]) ).
fof(f46,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,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f48,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f50,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(flattening,[],[f49]) ).
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(ennf_transformation,[],[f14]) ).
fof(f52,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,[],[f51]) ).
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(ennf_transformation,[],[f13]) ).
fof(f54,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,[],[f53]) ).
fof(f55,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f56,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(f57,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f59,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f61,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f60]) ).
fof(f62,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(f63,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f67,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f69,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(flattening,[],[f68]) ).
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(ennf_transformation,[],[f25]) ).
fof(f71,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,[],[f70]) ).
fof(f72,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f73,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f72]) ).
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(ennf_transformation,[],[f15]) ).
fof(f75,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,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
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(ennf_transformation,[],[f31]) ).
fof(f78,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,[],[f77]) ).
fof(f79,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f80,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f84,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f87,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f86]) ).
fof(f88,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(f89,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f91,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f93,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f92]) ).
fof(f94,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,[],[f48]) ).
fof(f95,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,[],[f94]) ).
fof(f96,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))],[f95]) ).
fof(f97,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,[],[f67]) ).
fof(f98,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,[],[f97]) ).
fof(f99,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))],[f98]) ).
fof(f100,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,[],[f78]) ).
fof(f101,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,[],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ! [X2] :
( ( sdtmndt0(X1,X0) != X2
| ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
& ( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| X2 = sdtmndt0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f103,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ! [X2] :
( ( sdtmndt0(X1,X0) != X2
| ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
& ( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| X2 = sdtmndt0(X1,X0) ) ) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f105,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f106,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f107,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f35]) ).
fof(f108,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f35]) ).
fof(f109,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f110,plain,
xp = sdtsldt0(xm,xl),
inference(cnf_transformation,[],[f37]) ).
fof(f111,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(cnf_transformation,[],[f38]) ).
fof(f112,plain,
sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f39]) ).
fof(f113,plain,
xr = sdtmndt0(xq,xp),
inference(cnf_transformation,[],[f40]) ).
fof(f114,plain,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
inference(cnf_transformation,[],[f43]) ).
fof(f115,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,[],[f46]) ).
fof(f117,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,[],[f46]) ).
fof(f119,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f96]) ).
fof(f120,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sK0(X0,X1)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f122,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f50]) ).
fof(f123,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f50]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f52]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f52]) ).
fof(f126,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,[],[f54]) ).
fof(f127,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,[],[f54]) ).
fof(f128,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f129,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f131,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f132,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f135,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK1(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f99]) ).
fof(f136,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| aNaturalNumber0(sK1(X0,X1)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f138,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f139,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,[],[f71]) ).
fof(f141,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,[],[f71]) ).
fof(f143,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f73]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f75]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f75]) ).
fof(f146,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f147,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f76]) ).
fof(f148,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| sdtasdt0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f101]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f151,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,[],[f101]) ).
fof(f152,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f155,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f84]) ).
fof(f156,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtmndt0(X1,X0) != X2
| sdtpldt0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f103]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtmndt0(X1,X0) != X2
| aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtmndt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f103]) ).
fof(f160,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f161,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f162,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f163,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f121]) ).
fof(f164,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f137]) ).
fof(f165,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(equality_resolution,[],[f151]) ).
fof(f166,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f150]) ).
fof(f167,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f149]) ).
fof(f169,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2 ),
inference(equality_resolution,[],[f159]) ).
fof(f170,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sdtmndt0(X1,X0)) ),
inference(equality_resolution,[],[f158]) ).
fof(f171,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f157]) ).
tcf(c_49,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f106]) ).
tcf(c_50,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f105]) ).
tcf(c_51,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f104]) ).
tcf(c_52,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f108]) ).
tcf(c_53,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f107]) ).
tcf(c_54,plain,
xl != sz00,
inference(cnf_transformation,[],[f109]) ).
tcf(c_55,plain,
sdtsldt0(xm,xl) = xp,
inference(cnf_transformation,[],[f110]) ).
tcf(c_56,plain,
sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
inference(cnf_transformation,[],[f111]) ).
tcf(c_57,plain,
sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f112]) ).
tcf(c_58,plain,
sdtmndt0(xq,xp) = xr,
inference(cnf_transformation,[],[f113]) ).
tcf(c_59,negated_conjecture,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
inference(cnf_transformation,[],[f114]) ).
tcf(c_61,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,[],[f117]) ).
tcf(c_63,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,[],[f115]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2) ) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X2,X1) ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_71,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,[],[f127]) ).
tcf(c_72,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,[],[f126]) ).
tcf(c_73,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_74,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_75,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,[],[f130]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_78,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,[],[f133]) ).
tcf(c_79,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,[],[f134]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK1(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK1(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_85,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,[],[f141]) ).
tcf(c_87,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,[],[f139]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_89,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,[],[f145]) ).
tcf(c_90,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,[],[f144]) ).
tcf(c_91,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_92,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_93,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f148]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ doDivides0(X0,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_99,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,[],[f154]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_101,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_105,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,[],[f160]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_108,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_117,plain,
( aNaturalNumber0(sK0(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_80,c_107,c_80]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_64,c_77,c_64]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_102,c_77,c_102,c_143]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_94,c_107,c_94,c_140]) ).
tcf(c_2528,plain,
sdtpldt0(xl,sz00) = xl,
inference(superposition,[status(thm)],[c_49,c_73]) ).
tcf(c_2529,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_50,c_73]) ).
tcf(c_2530,plain,
sdtpldt0(xn,sz00) = xn,
inference(superposition,[status(thm)],[c_51,c_73]) ).
tcf(c_2531,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_93,c_73]) ).
tcf(c_2536,plain,
sdtpldt0(sz00,xl) = xl,
inference(superposition,[status(thm)],[c_49,c_74]) ).
tcf(c_2537,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_50,c_74]) ).
tcf(c_2538,plain,
sdtpldt0(sz00,xn) = xn,
inference(superposition,[status(thm)],[c_51,c_74]) ).
tcf(c_2544,plain,
sdtasdt0(xl,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_91]) ).
tcf(c_2545,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_91]) ).
tcf(c_2546,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_91]) ).
tcf(c_2547,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_93,c_91]) ).
tcf(c_2552,plain,
sdtasdt0(sz00,xl) = sz00,
inference(superposition,[status(thm)],[c_49,c_92]) ).
tcf(c_2553,plain,
sdtasdt0(sz00,xm) = sz00,
inference(superposition,[status(thm)],[c_50,c_92]) ).
tcf(c_2554,plain,
sdtasdt0(sz00,xn) = sz00,
inference(superposition,[status(thm)],[c_51,c_92]) ).
tcf(c_2569,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_92]) ).
tcf(c_2570,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_91]) ).
tcf(c_2571,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_74]) ).
tcf(c_2572,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_73]) ).
tcf(c_2598,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_92]) ).
tcf(c_2599,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_91]) ).
tcf(c_2600,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_74]) ).
tcf(c_2601,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_73]) ).
tcf(c_2624,plain,
( doDivides0(xl,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2544,c_140]) ).
tcf(c_2625,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2545,c_140]) ).
tcf(c_2626,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2546,c_140]) ).
tcf(c_2627,plain,
doDivides0(xn,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_2626,c_93,c_51]) ).
tcf(c_2628,plain,
doDivides0(xm,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_2625,c_93,c_50]) ).
tcf(c_2629,plain,
doDivides0(xl,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_2624,c_93,c_49]) ).
tcf(c_2630,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2547,c_140]) ).
tcf(c_2632,plain,
doDivides0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_2630,c_93]) ).
tcf(c_2645,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2531,c_143]) ).
tcf(c_2646,plain,
( sdtlseqdt0(xl,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2528,c_143]) ).
tcf(c_2647,plain,
( sdtlseqdt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2529,c_143]) ).
tcf(c_2648,plain,
( sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2530,c_143]) ).
tcf(c_2649,plain,
( sdtlseqdt0(sz00,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2536,c_143]) ).
tcf(c_2650,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2537,c_143]) ).
tcf(c_2651,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2538,c_143]) ).
tcf(c_2652,plain,
sdtlseqdt0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_2645,c_93]) ).
tcf(c_2653,plain,
sdtlseqdt0(sz00,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_2651,c_93,c_51]) ).
tcf(c_2654,plain,
sdtlseqdt0(sz00,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_2650,c_93,c_50]) ).
tcf(c_2655,plain,
sdtlseqdt0(sz00,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_2649,c_93,c_49]) ).
tcf(c_2656,plain,
sdtlseqdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_2648,c_93,c_51]) ).
tcf(c_2657,plain,
sdtlseqdt0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_2647,c_93,c_50]) ).
tcf(c_2658,plain,
sdtlseqdt0(xl,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_2646,c_93,c_49]) ).
tcf(c_2671,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2531,c_61]) ).
tcf(c_2672,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2528,c_61]) ).
tcf(c_2673,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2529,c_61]) ).
tcf(c_2674,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2530,c_61]) ).
tcf(c_2675,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_2536,c_61]) ).
tcf(c_2676,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_2537,c_61]) ).
tcf(c_2677,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_2538,c_61]) ).
tcf(c_2678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2531,c_61]) ).
tcf(c_2679,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2528,c_61]) ).
tcf(c_2680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2529,c_61]) ).
tcf(c_2681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2530,c_61]) ).
tcf(c_2682,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_2536,c_61]) ).
tcf(c_2683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_2537,c_61]) ).
tcf(c_2684,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_2538,c_61]) ).
tcf(c_2685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2678,c_93]) ).
tcf(c_2690,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2671,c_93]) ).
tcf(c_2695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2684,c_93,c_51]) ).
tcf(c_2700,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2683,c_93,c_50]) ).
tcf(c_2705,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2682,c_93,c_49]) ).
tcf(c_2710,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2681,c_93,c_51]) ).
tcf(c_2715,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2680,c_93,c_50]) ).
tcf(c_2720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2679,c_93,c_49]) ).
tcf(c_2725,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2677,c_93,c_51]) ).
tcf(c_2730,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2676,c_93,c_50]) ).
tcf(c_2735,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2675,c_93,c_49]) ).
tcf(c_2740,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2674,c_93,c_51]) ).
tcf(c_2745,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2673,c_93,c_50]) ).
tcf(c_2750,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2672,c_93,c_49]) ).
tcf(c_2779,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_92]) ).
tcf(c_2780,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_91]) ).
tcf(c_2781,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_65,c_74]) ).
tcf(c_2782,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_65,c_73]) ).
tcf(c_2809,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xl) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_76]) ).
tcf(c_2810,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_76]) ).
tcf(c_2811,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_76]) ).
tcf(c_2812,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_77,c_76]) ).
tcf(c_2813,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_65,c_76]) ).
tcf(c_2814,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_107,c_76]) ).
tcf(c_2815,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_93,c_76]) ).
tcf(c_2856,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_81,c_76]) ).
tcf(c_2857,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK1(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_92]) ).
tcf(c_2858,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_91]) ).
tcf(c_2859,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_81,c_74]) ).
tcf(c_2860,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_81,c_73]) ).
tcf(c_2897,plain,
sdtpldt0(xl,xm) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_50,c_2809]) ).
tcf(c_2898,plain,
sdtpldt0(xl,xn) = sdtpldt0(xn,xl),
inference(superposition,[status(thm)],[c_51,c_2809]) ).
tcf(c_2899,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xl) = sdtpldt0(xl,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_2809]) ).
tcf(c_2900,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_65,c_2809]) ).
tcf(c_2901,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xl) = sdtpldt0(xl,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_2809]) ).
tcf(c_2902,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_81,c_2809]) ).
tcf(c_2903,plain,
sdtpldt0(xl,sz00) = sdtpldt0(sz00,xl),
inference(superposition,[status(thm)],[c_93,c_2809]) ).
tcf(c_2927,plain,
( sdtlseqdt0(xm,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2897,c_143]) ).
tcf(c_2928,plain,
( aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2897,c_77]) ).
tcf(c_2929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_2897,c_61]) ).
tcf(c_2930,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xl,xm))
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_2897,c_61]) ).
tcf(c_2931,plain,
aNaturalNumber0(sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_2928,c_50,c_49]) ).
tcf(c_2932,plain,
sdtlseqdt0(xm,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_2927,c_50,c_49]) ).
tcf(c_2933,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xl,xm))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2930,c_50,c_49]) ).
tcf(c_2938,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2929,c_50,c_49]) ).
tcf(c_2950,plain,
sdtpldt0(sdtpldt0(xl,xm),xl) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2931,c_2809]) ).
tcf(c_2951,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xm),X0) = sdtpldt0(X0,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2931,c_76]) ).
tcf(c_2952,plain,
sdtasdt0(sz00,sdtpldt0(xl,xm)) = sz00,
inference(superposition,[status(thm)],[c_2931,c_92]) ).
tcf(c_2953,plain,
sdtasdt0(sdtpldt0(xl,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_2931,c_91]) ).
tcf(c_2954,plain,
sdtpldt0(sz00,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_2931,c_74]) ).
tcf(c_2955,plain,
sdtpldt0(sdtpldt0(xl,xm),sz00) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_2931,c_73]) ).
tcf(c_2967,plain,
( sdtlseqdt0(xn,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2898,c_143]) ).
tcf(c_2968,plain,
( aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2898,c_77]) ).
tcf(c_2969,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_2898,c_61]) ).
tcf(c_2970,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_2898,c_61]) ).
tcf(c_2971,plain,
aNaturalNumber0(sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_2968,c_51,c_49]) ).
tcf(c_2972,plain,
sdtlseqdt0(xn,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_2967,c_51,c_49]) ).
tcf(c_2973,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xl,xn))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2970,c_51,c_49]) ).
tcf(c_2978,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xn,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2969,c_51,c_49]) ).
tcf(c_2989,plain,
sdtpldt0(sdtpldt0(xl,xn),xl) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2971,c_2809]) ).
tcf(c_2990,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xn),X0) = sdtpldt0(X0,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2971,c_76]) ).
tcf(c_2991,plain,
sdtasdt0(sz00,sdtpldt0(xl,xn)) = sz00,
inference(superposition,[status(thm)],[c_2971,c_92]) ).
tcf(c_2992,plain,
sdtasdt0(sdtpldt0(xl,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_2971,c_91]) ).
tcf(c_2993,plain,
sdtpldt0(sz00,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_2971,c_74]) ).
tcf(c_2994,plain,
sdtpldt0(sdtpldt0(xl,xn),sz00) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_2971,c_73]) ).
tcf(c_3006,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2950,c_143]) ).
tcf(c_3007,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2950,c_77]) ).
tcf(c_3008,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2950,c_61]) ).
tcf(c_3009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2950,c_61]) ).
tcf(c_3010,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_3007,c_49,c_2931]) ).
tcf(c_3011,plain,
sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_3006,c_49,c_2931]) ).
tcf(c_3012,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3009,c_49,c_2931]) ).
tcf(c_3017,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3008,c_49,c_2931]) ).
tcf(c_3035,plain,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,xq) ),
inference(superposition,[status(thm)],[c_58,c_103]) ).
tcf(c_3036,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),xl) = sdtpldt0(xl,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_2809]) ).
tcf(c_3037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),X2) = sdtpldt0(X2,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_76]) ).
tcf(c_3038,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtmndt0(X1,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_92]) ).
tcf(c_3039,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_91]) ).
tcf(c_3040,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtmndt0(X1,X0)) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_74]) ).
tcf(c_3041,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),sz00) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_73]) ).
tcf(c_3042,plain,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3035,c_57]) ).
tcf(c_3094,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xl) = sdtasdt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_106]) ).
tcf(c_3095,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_106]) ).
tcf(c_3096,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_106]) ).
tcf(c_3097,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_77,c_106]) ).
tcf(c_3098,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_65,c_106]) ).
tcf(c_3099,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_107,c_106]) ).
tcf(c_3100,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_81,c_106]) ).
tcf(c_3101,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_93,c_106]) ).
tcf(c_3102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),X2) = sdtasdt0(X2,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_106]) ).
tcf(c_3103,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xm),X0) = sdtasdt0(X0,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2931,c_106]) ).
tcf(c_3104,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xn),X0) = sdtasdt0(X0,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2971,c_106]) ).
tcf(c_3188,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,X0),xl) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_146]) ).
tcf(c_3189,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xm,X0),xm) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_146]) ).
tcf(c_3190,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xn,X0),xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_146]) ).
tcf(c_3191,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_146]) ).
tcf(c_3192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(sdtpldt0(sK0(X0,X1),X2),sK0(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_146]) ).
tcf(c_3193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(X0,X1),X2),sdtasdt0(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_146]) ).
tcf(c_3194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(sdtpldt0(sK1(X0,X1),X2),sK1(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_146]) ).
tcf(c_3195,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sz00,X0),sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_93,c_146]) ).
tcf(c_3196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(sdtpldt0(sdtmndt0(X1,X0),X2),sdtmndt0(X1,X0)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_146]) ).
tcf(c_3197,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2931,c_146]) ).
tcf(c_3198,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2971,c_146]) ).
tcf(c_3260,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3010,c_146]) ).
tcf(c_3261,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3010,c_106]) ).
tcf(c_3262,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_3010,c_2809]) ).
tcf(c_3263,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3010,c_76]) ).
tcf(c_3264,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_3010,c_92]) ).
tcf(c_3265,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3010,c_91]) ).
tcf(c_3266,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_3010,c_74]) ).
tcf(c_3267,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_3010,c_73]) ).
tcf(c_3289,plain,
( doDivides0(sdtpldt0(xl,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2953,c_140]) ).
tcf(c_3291,plain,
doDivides0(sdtpldt0(xl,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_3289,c_93,c_2931]) ).
tcf(c_3296,plain,
( doDivides0(sdtpldt0(xl,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2992,c_140]) ).
tcf(c_3298,plain,
doDivides0(sdtpldt0(xl,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_3296,c_93,c_2971]) ).
tcf(c_3305,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2954,c_143]) ).
tcf(c_3307,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_2954,c_61]) ).
tcf(c_3308,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2954,c_61]) ).
tcf(c_3309,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_3305,c_93,c_2931]) ).
tcf(c_3310,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3308,c_93,c_2931]) ).
tcf(c_3315,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3307,c_93,c_2931]) ).
tcf(c_3354,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2955,c_143]) ).
tcf(c_3356,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2955,c_61]) ).
tcf(c_3357,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2955,c_61]) ).
tcf(c_3358,plain,
sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_3354,c_93,c_2931]) ).
tcf(c_3359,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3357,c_93,c_2931]) ).
tcf(c_3364,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3356,c_93,c_2931]) ).
tcf(c_3369,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2989,c_143]) ).
tcf(c_3370,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2989,c_77]) ).
tcf(c_3371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2989,c_61]) ).
tcf(c_3372,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2989,c_61]) ).
tcf(c_3373,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_3370,c_49,c_2971]) ).
tcf(c_3374,plain,
sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_3369,c_49,c_2971]) ).
tcf(c_3375,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3372,c_49,c_2971]) ).
tcf(c_3380,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3371,c_49,c_2971]) ).
tcf(c_3402,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_2897,c_67]) ).
tcf(c_3403,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_2898,c_67]) ).
tcf(c_3404,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2950,c_67]) ).
tcf(c_3407,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2989,c_67]) ).
tcf(c_3408,plain,
( ( xn = sz00 )
| ( sdtpldt0(xl,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3403,c_51,c_49]) ).
tcf(c_3411,plain,
( ( xm = sz00 )
| ( sdtpldt0(xl,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3402,c_50,c_49]) ).
tcf(c_3414,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3407,c_49,c_2971]) ).
tcf(c_3417,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3404,c_49,c_2931]) ).
tcf(c_3435,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_2897,c_68]) ).
tcf(c_3436,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_2898,c_68]) ).
tcf(c_3437,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2950,c_68]) ).
tcf(c_3440,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2989,c_68]) ).
tcf(c_3441,plain,
sdtpldt0(xl,xn) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3436,c_54,c_51,c_49]) ).
tcf(c_3442,plain,
sdtpldt0(xl,xm) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3435,c_54,c_50,c_49]) ).
tcf(c_3443,plain,
sdtpldt0(xl,sdtpldt0(xl,xn)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3440,c_54,c_49,c_2971]) ).
tcf(c_3444,plain,
sdtpldt0(xl,sdtpldt0(xl,xm)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3437,c_54,c_49,c_2931]) ).
tcf(c_3453,plain,
( ( sdtpldt0(xp,sK0(xp,xq)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_57,c_66]) ).
tcf(c_3454,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_66]) ).
tcf(c_3455,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_61,c_66]) ).
tcf(c_3456,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_143,c_66]) ).
tcf(c_3457,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_83,c_66]) ).
tcf(c_3458,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_66]) ).
tcf(c_3459,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_66]) ).
tcf(c_3460,plain,
( ( sdtpldt0(sz00,sK0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2652,c_66]) ).
tcf(c_3461,plain,
( ( sdtpldt0(xl,sK0(xl,xl)) = xl )
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2658,c_66]) ).
tcf(c_3462,plain,
( ( sdtpldt0(xm,sK0(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2657,c_66]) ).
tcf(c_3463,plain,
( ( sdtpldt0(xn,sK0(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2656,c_66]) ).
tcf(c_3464,plain,
( ( sdtpldt0(sz00,sK0(sz00,xl)) = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2655,c_66]) ).
tcf(c_3465,plain,
( ( sdtpldt0(sz00,sK0(sz00,xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2654,c_66]) ).
tcf(c_3466,plain,
( ( sdtpldt0(sz00,sK0(sz00,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2653,c_66]) ).
tcf(c_3467,plain,
( ( sdtpldt0(xm,sK0(xm,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2932,c_66]) ).
tcf(c_3468,plain,
( ( sdtpldt0(xn,sK0(xn,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2972,c_66]) ).
tcf(c_3469,plain,
( ( sdtpldt0(sdtpldt0(xl,xm),sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xl,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3011,c_66]) ).
tcf(c_3470,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3309,c_66]) ).
tcf(c_3471,plain,
( ( sdtpldt0(sdtpldt0(xl,xm),sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3358,c_66]) ).
tcf(c_3472,plain,
sdtpldt0(xn,sK0(xn,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_3463,c_51]) ).
tcf(c_3473,plain,
sdtpldt0(xm,sK0(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_3462,c_50]) ).
tcf(c_3474,plain,
sdtpldt0(xl,sK0(xl,xl)) = xl,
inference(forward_subsumption_resolution,[status(thm)],[c_3461,c_49]) ).
tcf(c_3475,plain,
sdtpldt0(sz00,sK0(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3460,c_93]) ).
tcf(c_3478,plain,
sdtpldt0(sz00,sK0(sz00,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_3466,c_93,c_51]) ).
tcf(c_3479,plain,
sdtpldt0(sz00,sK0(sz00,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_3465,c_93,c_50]) ).
tcf(c_3480,plain,
sdtpldt0(sz00,sK0(sz00,xl)) = xl,
inference(forward_subsumption_resolution,[status(thm)],[c_3464,c_93,c_49]) ).
tcf(c_3492,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_3470,c_93,c_2931]) ).
tcf(c_3493,plain,
sdtpldt0(xn,sK0(xn,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_3468,c_51,c_2971]) ).
tcf(c_3494,plain,
sdtpldt0(xm,sK0(xm,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_3467,c_50,c_2931]) ).
tcf(c_3495,plain,
sdtpldt0(sdtpldt0(xl,xm),sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) = sdtpldt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_3471,c_2931]) ).
tcf(c_3505,plain,
sdtpldt0(sdtpldt0(xl,xm),sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_3469,c_2931,c_3010]) ).
tcf(c_3533,plain,
( ( sdtasdt0(xl,sK1(xl,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_52,c_82]) ).
tcf(c_3534,plain,
( ( sdtasdt0(xl,sK1(xl,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_53,c_82]) ).
tcf(c_3535,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_140,c_82]) ).
tcf(c_3536,plain,
( ( sdtasdt0(sz00,sK1(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2632,c_82]) ).
tcf(c_3537,plain,
( ( sdtasdt0(xl,sK1(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2629,c_82]) ).
tcf(c_3538,plain,
( ( sdtasdt0(xm,sK1(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2628,c_82]) ).
tcf(c_3539,plain,
( ( sdtasdt0(xn,sK1(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2627,c_82]) ).
tcf(c_3540,plain,
( ( sdtasdt0(sdtpldt0(xl,xm),sK1(sdtpldt0(xl,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3291,c_82]) ).
tcf(c_3541,plain,
( ( sdtasdt0(sdtpldt0(xl,xn),sK1(sdtpldt0(xl,xn),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_3298,c_82]) ).
tcf(c_3542,plain,
sdtasdt0(sz00,sK1(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3536,c_93]) ).
tcf(c_3543,plain,
sdtasdt0(xn,sK1(xn,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3539,c_93,c_51]) ).
tcf(c_3544,plain,
sdtasdt0(xm,sK1(xm,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3538,c_93,c_50]) ).
tcf(c_3545,plain,
sdtasdt0(xl,sK1(xl,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3537,c_93,c_49]) ).
tcf(c_3546,plain,
sdtasdt0(xl,sK1(xl,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_3533,c_50,c_49]) ).
tcf(c_3547,plain,
sdtasdt0(sdtpldt0(xl,xn),sK1(sdtpldt0(xl,xn),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3541,c_93,c_2971]) ).
tcf(c_3548,plain,
sdtasdt0(sdtpldt0(xl,xm),sK1(sdtpldt0(xl,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3540,c_93,c_2931]) ).
tcf(c_3549,plain,
( ( sdtasdt0(xl,sK1(xl,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3534,c_49]) ).
tcf(c_3585,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3373,c_146]) ).
tcf(c_3586,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3373,c_106]) ).
tcf(c_3587,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_3373,c_2809]) ).
tcf(c_3588,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3373,c_76]) ).
tcf(c_3589,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_3373,c_92]) ).
tcf(c_3590,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3373,c_91]) ).
tcf(c_3591,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_3373,c_74]) ).
tcf(c_3592,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_3373,c_73]) ).
tcf(c_3602,plain,
( ( sK0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_3472,c_68]) ).
tcf(c_3606,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_3472,c_61]) ).
tcf(c_3607,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_3472,c_61]) ).
tcf(c_3608,plain,
( ( sK0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sK0(xn,xn))
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3602,c_51]) ).
tcf(c_3612,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_3607,c_51]) ).
tcf(c_3618,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_3606,c_51]) ).
tcf(c_3634,plain,
( ( sK0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_3473,c_68]) ).
tcf(c_3638,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_3473,c_61]) ).
tcf(c_3639,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_3473,c_61]) ).
tcf(c_3640,plain,
( ( sK0(xm,xm) = sz00 )
| ~ aNaturalNumber0(sK0(xm,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3634,c_50]) ).
tcf(c_3644,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_3639,c_50]) ).
tcf(c_3650,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_3638,c_50]) ).
tcf(c_3662,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_3474,c_61]) ).
tcf(c_3663,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_3474,c_61]) ).
tcf(c_3664,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_3663,c_49]) ).
tcf(c_3670,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_3662,c_49]) ).
tcf(c_3678,plain,
( ( sK0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_3475,c_68]) ).
tcf(c_3682,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ sdtlseqdt0(sK0(sz00,sz00),X0) ),
inference(superposition,[status(thm)],[c_3475,c_61]) ).
tcf(c_3683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ sdtlseqdt0(X0,sK0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_3475,c_61]) ).
tcf(c_3684,plain,
( ( sK0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3678,c_93]) ).
tcf(c_3687,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ sdtlseqdt0(X0,sK0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3683,c_93]) ).
tcf(c_3693,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ sdtlseqdt0(sK0(sz00,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3682,c_93]) ).
tcf(c_3712,plain,
( ( sK0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_3478,c_68]) ).
tcf(c_3716,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ sdtlseqdt0(sK0(sz00,xn),X0) ),
inference(superposition,[status(thm)],[c_3478,c_61]) ).
tcf(c_3717,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ sdtlseqdt0(X0,sK0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3478,c_61]) ).
tcf(c_3718,plain,
( ( sK0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3712,c_93]) ).
tcf(c_3722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ sdtlseqdt0(X0,sK0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3717,c_93]) ).
tcf(c_3728,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ sdtlseqdt0(sK0(sz00,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3716,c_93]) ).
tcf(c_3736,plain,
( ( sK0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_3479,c_68]) ).
tcf(c_3740,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ sdtlseqdt0(sK0(sz00,xm),X0) ),
inference(superposition,[status(thm)],[c_3479,c_61]) ).
tcf(c_3741,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ sdtlseqdt0(X0,sK0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3479,c_61]) ).
tcf(c_3742,plain,
( ( sK0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3736,c_93]) ).
tcf(c_3746,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ sdtlseqdt0(X0,sK0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3741,c_93]) ).
tcf(c_3752,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ sdtlseqdt0(sK0(sz00,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3740,c_93]) ).
tcf(c_3772,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X0))
| ( sK0(sz00,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xl))
| ~ sdtlseqdt0(sK0(sz00,xl),X0) ),
inference(superposition,[status(thm)],[c_3480,c_61]) ).
tcf(c_3773,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| ( sK0(sz00,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xl))
| ~ sdtlseqdt0(X0,sK0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3480,c_61]) ).
tcf(c_3774,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| ( sK0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xl))
| ~ sdtlseqdt0(X0,sK0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3773,c_93]) ).
tcf(c_3780,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X0))
| ( sK0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xl))
| ~ sdtlseqdt0(sK0(sz00,xl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3772,c_93]) ).
tcf(c_3791,plain,
( sdtlseqdt0(xn,sz00)
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_3543,c_83]) ).
tcf(c_3794,plain,
( sdtlseqdt0(xn,sz00)
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3791,c_51]) ).
tcf(c_3800,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2993,c_143]) ).
tcf(c_3802,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_2993,c_61]) ).
tcf(c_3803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2993,c_61]) ).
tcf(c_3804,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_3800,c_93,c_2971]) ).
tcf(c_3805,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3803,c_93,c_2971]) ).
tcf(c_3810,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3802,c_93,c_2971]) ).
tcf(c_3827,plain,
( aNaturalNumber0(xp)
| ( xl = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,xm) ),
inference(superposition,[status(thm)],[c_55,c_95]) ).
tcf(c_3828,plain,
( aNaturalNumber0(xq)
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ doDivides0(xl,sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_56,c_95]) ).
tcf(c_3829,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sdtsldt0(X1,X0),X2),sdtsldt0(X1,X0)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_146]) ).
tcf(c_3830,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_95,c_106]) ).
tcf(c_3831,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_95,c_2809]) ).
tcf(c_3832,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_95,c_76]) ).
tcf(c_3833,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_95,c_92]) ).
tcf(c_3834,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_95,c_91]) ).
tcf(c_3835,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_95,c_74]) ).
tcf(c_3836,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_95,c_73]) ).
tcf(c_3837,plain,
aNaturalNumber0(xp),
inference(forward_subsumption_resolution,[status(thm)],[c_3827,c_54,c_50,c_49,c_52]) ).
tcf(c_3838,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3828,c_54,c_49,c_53]) ).
tcf(c_3884,plain,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3042,c_3837]) ).
tcf(c_3926,plain,
( ( xp = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_57,c_100]) ).
tcf(c_3928,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_61,c_100]) ).
tcf(c_3929,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_143,c_100]) ).
tcf(c_3930,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_83,c_100]) ).
tcf(c_3937,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xl,sz00) ),
inference(superposition,[status(thm)],[c_2655,c_100]) ).
tcf(c_3938,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00) ),
inference(superposition,[status(thm)],[c_2654,c_100]) ).
tcf(c_3939,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00) ),
inference(superposition,[status(thm)],[c_2653,c_100]) ).
tcf(c_3940,plain,
( ( sdtpldt0(xl,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),xm) ),
inference(superposition,[status(thm)],[c_2932,c_100]) ).
tcf(c_3941,plain,
( ( sdtpldt0(xl,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),xn) ),
inference(superposition,[status(thm)],[c_2972,c_100]) ).
tcf(c_3942,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3011,c_100]) ).
tcf(c_3943,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_3309,c_100]) ).
tcf(c_3945,plain,
( ( xn = sz00 )
| ~ sdtlseqdt0(xn,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3939,c_93,c_51]) ).
tcf(c_3948,plain,
( ( xm = sz00 )
| ~ sdtlseqdt0(xm,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3938,c_93,c_50]) ).
tcf(c_3951,plain,
~ sdtlseqdt0(xl,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_3937,c_54,c_93,c_49]) ).
tcf(c_3956,plain,
~ sdtlseqdt0(sdtpldt0(xl,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_3943,c_3442,c_93,c_2931]) ).
tcf(c_3957,plain,
( ( sdtpldt0(xl,xn) = xn )
| ~ sdtlseqdt0(sdtpldt0(xl,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3941,c_51,c_2971]) ).
tcf(c_3960,plain,
( ( sdtpldt0(xl,xm) = xm )
| ~ sdtlseqdt0(sdtpldt0(xl,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3940,c_50,c_2931]) ).
tcf(c_3974,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3942,c_2931,c_3010]) ).
tcf(c_4036,plain,
( ( sdtpldt0(xp,sdtmndt0(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_57,c_104]) ).
tcf(c_4037,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_104]) ).
tcf(c_4038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X0,X2),sdtpldt0(X0,X1))) = sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_61,c_104]) ).
tcf(c_4039,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_143,c_104]) ).
tcf(c_4040,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_83,c_104]) ).
tcf(c_4041,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_104]) ).
tcf(c_4042,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sdtmndt0(X0,X1)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_104]) ).
tcf(c_4043,plain,
( ( sdtpldt0(sz00,sdtmndt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2652,c_104]) ).
tcf(c_4044,plain,
( ( sdtpldt0(xl,sdtmndt0(xl,xl)) = xl )
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2658,c_104]) ).
tcf(c_4045,plain,
( ( sdtpldt0(xm,sdtmndt0(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2657,c_104]) ).
tcf(c_4046,plain,
( ( sdtpldt0(xn,sdtmndt0(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2656,c_104]) ).
tcf(c_4047,plain,
( ( sdtpldt0(sz00,sdtmndt0(xl,sz00)) = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2655,c_104]) ).
tcf(c_4048,plain,
( ( sdtpldt0(sz00,sdtmndt0(xm,sz00)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2654,c_104]) ).
tcf(c_4049,plain,
( ( sdtpldt0(sz00,sdtmndt0(xn,sz00)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2653,c_104]) ).
tcf(c_4050,plain,
( ( sdtpldt0(xm,sdtmndt0(sdtpldt0(xl,xm),xm)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2932,c_104]) ).
tcf(c_4051,plain,
( ( sdtpldt0(xn,sdtmndt0(sdtpldt0(xl,xn),xn)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2972,c_104]) ).
tcf(c_4052,plain,
( ( sdtpldt0(sdtpldt0(xl,xm),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) = sdtpldt0(xl,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3011,c_104]) ).
tcf(c_4053,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xl,xm),sz00)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3309,c_104]) ).
tcf(c_4054,plain,
( ( sdtpldt0(sdtpldt0(xl,xm),sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3358,c_104]) ).
tcf(c_4055,plain,
sdtpldt0(xn,sdtmndt0(xn,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_4046,c_51]) ).
tcf(c_4056,plain,
sdtpldt0(xm,sdtmndt0(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_4045,c_50]) ).
tcf(c_4057,plain,
sdtpldt0(xl,sdtmndt0(xl,xl)) = xl,
inference(forward_subsumption_resolution,[status(thm)],[c_4044,c_49]) ).
tcf(c_4058,plain,
sdtpldt0(sz00,sdtmndt0(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_4043,c_93]) ).
tcf(c_4061,plain,
sdtpldt0(sz00,sdtmndt0(xn,sz00)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_4049,c_93,c_51]) ).
tcf(c_4062,plain,
sdtpldt0(sz00,sdtmndt0(xm,sz00)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_4048,c_93,c_50]) ).
tcf(c_4063,plain,
sdtpldt0(sz00,sdtmndt0(xl,sz00)) = xl,
inference(forward_subsumption_resolution,[status(thm)],[c_4047,c_93,c_49]) ).
tcf(c_4064,plain,
( ( sdtpldt0(xp,xr) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(light_normalisation,[status(thm)],[c_4036,c_58]) ).
tcf(c_4076,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xl,xm),sz00)) = sdtpldt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_4053,c_93,c_2931]) ).
tcf(c_4077,plain,
sdtpldt0(xn,sdtmndt0(sdtpldt0(xl,xn),xn)) = sdtpldt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_4051,c_51,c_2971]) ).
tcf(c_4078,plain,
sdtpldt0(xm,sdtmndt0(sdtpldt0(xl,xm),xm)) = sdtpldt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_4050,c_50,c_2931]) ).
tcf(c_4079,plain,
sdtpldt0(sdtpldt0(xl,xm),sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) = sdtpldt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_4054,c_2931]) ).
tcf(c_4089,plain,
sdtpldt0(sdtpldt0(xl,xm),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_4052,c_2931,c_3010]) ).
tcf(c_4166,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtsldt0(sdtasdt0(xl,X0),xl) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_153]) ).
tcf(c_4167,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(sdtasdt0(xm,X0),xm) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_153]) ).
tcf(c_4168,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtsldt0(sdtasdt0(xn,X0),xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_153]) ).
tcf(c_4169,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_77,c_153]) ).
tcf(c_4170,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_65,c_153]) ).
tcf(c_4171,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_107,c_153]) ).
tcf(c_4172,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_81,c_153]) ).
tcf(c_4174,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_95,c_153]) ).
tcf(c_4175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(X1,X0) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtmndt0(X1,X0),X2),sdtmndt0(X1,X0)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_153]) ).
tcf(c_4176,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2931,c_153]) ).
tcf(c_4177,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2971,c_153]) ).
tcf(c_4178,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3010,c_153]) ).
tcf(c_4179,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3373,c_153]) ).
tcf(c_4186,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xl,X0),xl) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4166,c_54]) ).
tcf(c_4189,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4177,c_3441]) ).
tcf(c_4192,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4176,c_3442]) ).
tcf(c_4258,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtsldt0(sdtasdt0(xp,X0),xp) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3837,c_153]) ).
tcf(c_4259,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xp,X0),xp) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3837,c_146]) ).
tcf(c_4260,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3837,c_106]) ).
tcf(c_4261,plain,
sdtpldt0(xl,xp) = sdtpldt0(xp,xl),
inference(superposition,[status(thm)],[c_3837,c_2809]) ).
tcf(c_4262,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3837,c_76]) ).
tcf(c_4263,plain,
sdtasdt0(sz00,xp) = sz00,
inference(superposition,[status(thm)],[c_3837,c_92]) ).
tcf(c_4264,plain,
sdtasdt0(xp,sz00) = sz00,
inference(superposition,[status(thm)],[c_3837,c_91]) ).
tcf(c_4265,plain,
sdtpldt0(sz00,xp) = xp,
inference(superposition,[status(thm)],[c_3837,c_74]) ).
tcf(c_4266,plain,
sdtpldt0(xp,sz00) = xp,
inference(superposition,[status(thm)],[c_3837,c_73]) ).
tcf(c_4296,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xl,xn),sz00)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_3804,c_104]) ).
tcf(c_4297,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_3804,c_100]) ).
tcf(c_4298,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_3804,c_66]) ).
tcf(c_4299,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_4298,c_93,c_2971]) ).
tcf(c_4300,plain,
~ sdtlseqdt0(sdtpldt0(xl,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4297,c_3441,c_93,c_2971]) ).
tcf(c_4301,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xl,xn),sz00)) = sdtpldt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_4296,c_93,c_2971]) ).
tcf(c_4341,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4264,c_140]) ).
tcf(c_4343,plain,
doDivides0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4341,c_3837,c_93]) ).
tcf(c_4344,plain,
( ( sdtasdt0(xp,sK1(xp,sz00)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4343,c_82]) ).
tcf(c_4345,plain,
sdtasdt0(xp,sK1(xp,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_4344,c_3837,c_93]) ).
tcf(c_4348,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4265,c_143]) ).
tcf(c_4350,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_4265,c_61]) ).
tcf(c_4351,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_4265,c_61]) ).
tcf(c_4352,plain,
sdtlseqdt0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_4348,c_3837,c_93]) ).
tcf(c_4353,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4351,c_3837,c_93]) ).
tcf(c_4358,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4350,c_3837,c_93]) ).
tcf(c_4379,plain,
( ( sdtpldt0(sz00,sdtmndt0(xp,sz00)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4352,c_104]) ).
tcf(c_4380,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xp,sz00) ),
inference(superposition,[status(thm)],[c_4352,c_100]) ).
tcf(c_4381,plain,
( ( sdtpldt0(sz00,sK0(sz00,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4352,c_66]) ).
tcf(c_4382,plain,
sdtpldt0(sz00,sK0(sz00,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_4381,c_3837,c_93]) ).
tcf(c_4383,plain,
( ( sz00 = xp )
| ~ sdtlseqdt0(xp,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4380,c_3837,c_93]) ).
tcf(c_4386,plain,
sdtpldt0(sz00,sdtmndt0(xp,sz00)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_4379,c_3837,c_93]) ).
tcf(c_4389,plain,
( sdtlseqdt0(xp,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4266,c_143]) ).
tcf(c_4391,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4266,c_61]) ).
tcf(c_4392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4266,c_61]) ).
tcf(c_4393,plain,
sdtlseqdt0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_4389,c_3837,c_93]) ).
tcf(c_4394,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4392,c_3837,c_93]) ).
tcf(c_4399,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4391,c_3837,c_93]) ).
tcf(c_4404,plain,
( ( sdtpldt0(xp,sdtmndt0(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4393,c_104]) ).
tcf(c_4406,plain,
( ( sdtpldt0(xp,sK0(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4393,c_66]) ).
tcf(c_4407,plain,
sdtpldt0(xp,sK0(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_4406,c_3837]) ).
tcf(c_4408,plain,
sdtpldt0(xp,sdtmndt0(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_4404,c_3837]) ).
tcf(c_4411,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2994,c_143]) ).
tcf(c_4413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2994,c_61]) ).
tcf(c_4414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2994,c_61]) ).
tcf(c_4415,plain,
sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_4411,c_93,c_2971]) ).
tcf(c_4416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4414,c_93,c_2971]) ).
tcf(c_4421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4413,c_93,c_2971]) ).
tcf(c_4438,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_52,c_79]) ).
tcf(c_4439,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_79]) ).
tcf(c_4440,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_140,c_79]) ).
tcf(c_4442,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_2629,c_79]) ).
tcf(c_4443,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_2628,c_79]) ).
tcf(c_4444,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_2627,c_79]) ).
tcf(c_4445,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ doDivides0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3291,c_79]) ).
tcf(c_4446,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ doDivides0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_3298,c_79]) ).
tcf(c_4447,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_4343,c_79]) ).
tcf(c_4448,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4447,c_3837,c_93]) ).
tcf(c_4452,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4444,c_93,c_51]) ).
tcf(c_4456,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4443,c_93,c_50]) ).
tcf(c_4460,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4442,c_93,c_49]) ).
tcf(c_4464,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4438,c_50,c_49]) ).
tcf(c_4468,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4446,c_93,c_2971]) ).
tcf(c_4472,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4445,c_93,c_2931]) ).
tcf(c_4476,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4439,c_49]) ).
tcf(c_4535,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_57,c_99]) ).
tcf(c_4537,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_61,c_99]) ).
tcf(c_4538,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_143,c_99]) ).
tcf(c_4539,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_83,c_99]) ).
tcf(c_4541,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_98,c_99]) ).
tcf(c_4546,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2655,c_99]) ).
tcf(c_4547,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2654,c_99]) ).
tcf(c_4548,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2653,c_99]) ).
tcf(c_4549,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2932,c_99]) ).
tcf(c_4550,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2972,c_99]) ).
tcf(c_4551,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3011,c_99]) ).
tcf(c_4552,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3309,c_99]) ).
tcf(c_4554,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_3804,c_99]) ).
tcf(c_4555,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4352,c_99]) ).
tcf(c_4557,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4555,c_3837,c_93]) ).
tcf(c_4561,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4548,c_93,c_51]) ).
tcf(c_4565,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4547,c_93,c_50]) ).
tcf(c_4569,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4546,c_93,c_49]) ).
tcf(c_4573,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4535,c_3837]) ).
tcf(c_4584,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4554,c_93,c_2971]) ).
tcf(c_4588,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4552,c_93,c_2931]) ).
tcf(c_4592,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4550,c_51,c_2971]) ).
tcf(c_4596,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4549,c_50,c_2931]) ).
tcf(c_4613,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4551,c_2931,c_3010]) ).
tcf(c_4812,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_75]) ).
tcf(c_4813,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_75]) ).
tcf(c_4814,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_75]) ).
tcf(c_4815,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_77,c_75]) ).
tcf(c_4816,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_65,c_75]) ).
tcf(c_4817,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_107,c_75]) ).
tcf(c_4818,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_81,c_75]) ).
tcf(c_4819,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_93,c_75]) ).
tcf(c_4820,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_95,c_75]) ).
tcf(c_4821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(X2,X3),sdtmndt0(X1,X0)) = sdtpldt0(X2,sdtpldt0(X3,sdtmndt0(X1,X0))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_75]) ).
tcf(c_4822,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,xm)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2931,c_75]) ).
tcf(c_4823,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_2971,c_75]) ).
tcf(c_4824,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,xm))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3010,c_75]) ).
tcf(c_4825,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(X0,sdtpldt0(X1,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3837,c_75]) ).
tcf(c_4826,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,xn))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3373,c_75]) ).
tcf(c_4924,plain,
( ( xn = sz00 )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_3543,c_88]) ).
tcf(c_4927,plain,
( ( xn = sz00 )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4924,c_51]) ).
tcf(c_4937,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_77,c_3838]) ).
tcf(c_4938,plain,
aNaturalNumber0(xq),
inference(forward_subsumption_resolution,[status(thm)],[c_4937,c_51,c_50]) ).
tcf(c_4939,plain,
aNaturalNumber0(xr),
inference(backward_subsumption_resolution,[status(thm)],[c_3884,c_4938]) ).
tcf(c_4940,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xq) = sdtpldt0(X0,sdtpldt0(X1,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4938,c_75]) ).
tcf(c_4941,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sdtsldt0(sdtasdt0(xq,X0),xq) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4938,c_153]) ).
tcf(c_4942,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xq,X0),xq) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4938,c_146]) ).
tcf(c_4943,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xq) = sdtasdt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4938,c_106]) ).
tcf(c_4944,plain,
sdtpldt0(xl,xq) = sdtpldt0(xq,xl),
inference(superposition,[status(thm)],[c_4938,c_2809]) ).
tcf(c_4945,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xq) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4938,c_76]) ).
tcf(c_4946,plain,
sdtasdt0(sz00,xq) = sz00,
inference(superposition,[status(thm)],[c_4938,c_92]) ).
tcf(c_4947,plain,
sdtasdt0(xq,sz00) = sz00,
inference(superposition,[status(thm)],[c_4938,c_91]) ).
tcf(c_4948,plain,
sdtpldt0(sz00,xq) = xq,
inference(superposition,[status(thm)],[c_4938,c_74]) ).
tcf(c_4949,plain,
sdtpldt0(xq,sz00) = xq,
inference(superposition,[status(thm)],[c_4938,c_73]) ).
tcf(c_4994,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(X0,sdtpldt0(X1,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4939,c_75]) ).
tcf(c_4995,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtsldt0(sdtasdt0(xr,X0),xr) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4939,c_153]) ).
tcf(c_4996,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xr,X0),xr) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4939,c_146]) ).
tcf(c_4997,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xr) = sdtasdt0(xr,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4939,c_106]) ).
tcf(c_4998,plain,
sdtpldt0(xl,xr) = sdtpldt0(xr,xl),
inference(superposition,[status(thm)],[c_4939,c_2809]) ).
tcf(c_4999,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xr) = sdtpldt0(xr,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4939,c_76]) ).
tcf(c_5000,plain,
sdtasdt0(sz00,xr) = sz00,
inference(superposition,[status(thm)],[c_4939,c_92]) ).
tcf(c_5001,plain,
sdtasdt0(xr,sz00) = sz00,
inference(superposition,[status(thm)],[c_4939,c_91]) ).
tcf(c_5002,plain,
sdtpldt0(sz00,xr) = xr,
inference(superposition,[status(thm)],[c_4939,c_74]) ).
tcf(c_5003,plain,
sdtpldt0(xr,sz00) = xr,
inference(superposition,[status(thm)],[c_4939,c_73]) ).
tcf(c_5108,plain,
( doDivides0(xq,sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4947,c_140]) ).
tcf(c_5110,plain,
doDivides0(xq,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_5108,c_4938,c_93]) ).
tcf(c_5111,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq) ),
inference(superposition,[status(thm)],[c_5110,c_79]) ).
tcf(c_5112,plain,
( ( sdtasdt0(xq,sK1(xq,sz00)) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5110,c_82]) ).
tcf(c_5113,plain,
sdtasdt0(xq,sK1(xq,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_5112,c_4938,c_93]) ).
tcf(c_5114,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5111,c_4938,c_93]) ).
tcf(c_5120,plain,
( sdtlseqdt0(sz00,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4948,c_143]) ).
tcf(c_5122,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_4948,c_61]) ).
tcf(c_5123,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_4948,c_61]) ).
tcf(c_5124,plain,
sdtlseqdt0(sz00,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_5120,c_4938,c_93]) ).
tcf(c_5125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5123,c_4938,c_93]) ).
tcf(c_5130,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5122,c_4938,c_93]) ).
tcf(c_5199,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5124,c_99]) ).
tcf(c_5200,plain,
( ( sdtpldt0(sz00,sdtmndt0(xq,sz00)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5124,c_104]) ).
tcf(c_5201,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00) ),
inference(superposition,[status(thm)],[c_5124,c_100]) ).
tcf(c_5202,plain,
( ( sdtpldt0(sz00,sK0(sz00,xq)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5124,c_66]) ).
tcf(c_5203,plain,
sdtpldt0(sz00,sK0(sz00,xq)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_5202,c_4938,c_93]) ).
tcf(c_5204,plain,
( ( sz00 = xq )
| ~ sdtlseqdt0(xq,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5201,c_4938,c_93]) ).
tcf(c_5207,plain,
sdtpldt0(sz00,sdtmndt0(xq,sz00)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_5200,c_4938,c_93]) ).
tcf(c_5208,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5199,c_4938,c_93]) ).
tcf(c_5214,plain,
( sdtlseqdt0(xq,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4949,c_143]) ).
tcf(c_5216,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4949,c_61]) ).
tcf(c_5217,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4949,c_61]) ).
tcf(c_5218,plain,
sdtlseqdt0(xq,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_5214,c_4938,c_93]) ).
tcf(c_5219,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5217,c_4938,c_93]) ).
tcf(c_5224,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5216,c_4938,c_93]) ).
tcf(c_5230,plain,
( ( sdtpldt0(xq,sdtmndt0(xq,xq)) = xq )
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_5218,c_104]) ).
tcf(c_5232,plain,
( ( sdtpldt0(xq,sK0(xq,xq)) = xq )
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_5218,c_66]) ).
tcf(c_5233,plain,
sdtpldt0(xq,sK0(xq,xq)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_5232,c_4938]) ).
tcf(c_5234,plain,
sdtpldt0(xq,sdtmndt0(xq,xq)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_5230,c_4938]) ).
tcf(c_5239,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3262,c_68]) ).
tcf(c_5241,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3262,c_143]) ).
tcf(c_5242,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3262,c_77]) ).
tcf(c_5243,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3262,c_61]) ).
tcf(c_5244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3262,c_61]) ).
tcf(c_5245,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(forward_subsumption_resolution,[status(thm)],[c_5242,c_49,c_3010]) ).
tcf(c_5246,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(forward_subsumption_resolution,[status(thm)],[c_5241,c_49,c_3010]) ).
tcf(c_5247,plain,
sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_5239,c_54,c_49,c_3010]) ).
tcf(c_5248,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5244,c_49,c_3010]) ).
tcf(c_5253,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5243,c_49,c_3010]) ).
tcf(c_5267,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_105]) ).
tcf(c_5268,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_105]) ).
tcf(c_5269,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_105]) ).
tcf(c_5270,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_77,c_105]) ).
tcf(c_5271,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_65,c_105]) ).
tcf(c_5272,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_107,c_105]) ).
tcf(c_5273,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_81,c_105]) ).
tcf(c_5274,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_93,c_105]) ).
tcf(c_5275,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_95,c_105]) ).
tcf(c_5276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(X2,X3),sdtmndt0(X1,X0)) = sdtasdt0(X2,sdtasdt0(X3,sdtmndt0(X1,X0))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_105]) ).
tcf(c_5277,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,xm)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2931,c_105]) ).
tcf(c_5278,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_2971,c_105]) ).
tcf(c_5279,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,xm))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3010,c_105]) ).
tcf(c_5280,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xr) = sdtasdt0(X0,sdtasdt0(X1,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4939,c_105]) ).
tcf(c_5281,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(X0,sdtasdt0(X1,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3837,c_105]) ).
tcf(c_5282,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xq) = sdtasdt0(X0,sdtasdt0(X1,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4938,c_105]) ).
tcf(c_5283,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,xn))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3373,c_105]) ).
tcf(c_5469,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2531,c_69]) ).
tcf(c_5470,plain,
! [X0: $i] :
( ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3475,c_69]) ).
tcf(c_5471,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != xl ) ),
inference(superposition,[status(thm)],[c_2528,c_69]) ).
tcf(c_5472,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_2529,c_69]) ).
tcf(c_5473,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_2530,c_69]) ).
tcf(c_5474,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(superposition,[status(thm)],[c_2536,c_69]) ).
tcf(c_5475,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_2537,c_69]) ).
tcf(c_5476,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_2538,c_69]) ).
tcf(c_5477,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_2897,c_69]) ).
tcf(c_5478,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_2898,c_69]) ).
tcf(c_5479,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_2950,c_69]) ).
tcf(c_5480,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_2954,c_69]) ).
tcf(c_5481,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_2955,c_69]) ).
tcf(c_5482,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_2989,c_69]) ).
tcf(c_5483,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_2993,c_69]) ).
tcf(c_5484,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_2994,c_69]) ).
tcf(c_5485,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) ) ),
inference(superposition,[status(thm)],[c_3262,c_69]) ).
tcf(c_5486,plain,
! [X0: $i] :
( ( sK0(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ( sdtpldt0(xl,X0) != xl ) ),
inference(superposition,[status(thm)],[c_3474,c_69]) ).
tcf(c_5487,plain,
! [X0: $i] :
( ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_3473,c_69]) ).
tcf(c_5488,plain,
! [X0: $i] :
( ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_3472,c_69]) ).
tcf(c_5489,plain,
! [X0: $i] :
( ( sK0(sz00,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xl))
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(superposition,[status(thm)],[c_3480,c_69]) ).
tcf(c_5490,plain,
! [X0: $i] :
( ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_3479,c_69]) ).
tcf(c_5491,plain,
! [X0: $i] :
( ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_3478,c_69]) ).
tcf(c_5492,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_4265,c_69]) ).
tcf(c_5493,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_4266,c_69]) ).
tcf(c_5494,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(superposition,[status(thm)],[c_4948,c_69]) ).
tcf(c_5495,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != xq ) ),
inference(superposition,[status(thm)],[c_4949,c_69]) ).
tcf(c_5497,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5469,c_93]) ).
tcf(c_5501,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5495,c_4938,c_93]) ).
tcf(c_5505,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5494,c_4938,c_93]) ).
tcf(c_5509,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5493,c_3837,c_93]) ).
tcf(c_5513,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5492,c_3837,c_93]) ).
tcf(c_5517,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5476,c_93,c_51]) ).
tcf(c_5521,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5475,c_93,c_50]) ).
tcf(c_5525,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5474,c_93,c_49]) ).
tcf(c_5529,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5473,c_93,c_51]) ).
tcf(c_5533,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5472,c_93,c_50]) ).
tcf(c_5537,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5471,c_93,c_49]) ).
tcf(c_5541,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5478,c_51,c_49]) ).
tcf(c_5545,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5477,c_50,c_49]) ).
tcf(c_5549,plain,
! [X0: $i] :
( ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5491,c_93]) ).
tcf(c_5554,plain,
! [X0: $i] :
( ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5490,c_93]) ).
tcf(c_5559,plain,
! [X0: $i] :
( ( sK0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xl))
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5489,c_93]) ).
tcf(c_5564,plain,
! [X0: $i] :
( ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5488,c_51]) ).
tcf(c_5569,plain,
! [X0: $i] :
( ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5487,c_50]) ).
tcf(c_5574,plain,
! [X0: $i] :
( ( sK0(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ( sdtpldt0(xl,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5486,c_49]) ).
tcf(c_5579,plain,
! [X0: $i] :
( ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5470,c_93]) ).
tcf(c_5584,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5484,c_93,c_2971]) ).
tcf(c_5588,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5483,c_93,c_2971]) ).
tcf(c_5592,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5481,c_93,c_2931]) ).
tcf(c_5596,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5480,c_93,c_2931]) ).
tcf(c_5600,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5482,c_49,c_2971]) ).
tcf(c_5604,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5479,c_49,c_2931]) ).
tcf(c_5608,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5485,c_49,c_3010]) ).
tcf(c_5735,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(superposition,[status(thm)],[c_2531,c_70]) ).
tcf(c_5736,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ( sdtpldt0(X0,sK0(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3475,c_70]) ).
tcf(c_5737,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xl ) ),
inference(superposition,[status(thm)],[c_2528,c_70]) ).
tcf(c_5738,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(superposition,[status(thm)],[c_2529,c_70]) ).
tcf(c_5739,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(superposition,[status(thm)],[c_2530,c_70]) ).
tcf(c_5740,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != xl ) ),
inference(superposition,[status(thm)],[c_2536,c_70]) ).
tcf(c_5741,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(superposition,[status(thm)],[c_2537,c_70]) ).
tcf(c_5742,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(superposition,[status(thm)],[c_2538,c_70]) ).
tcf(c_5743,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_2897,c_70]) ).
tcf(c_5744,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_2898,c_70]) ).
tcf(c_5745,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_2950,c_70]) ).
tcf(c_5746,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(X0,sdtpldt0(xl,xm)) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_2954,c_70]) ).
tcf(c_5747,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_2955,c_70]) ).
tcf(c_5748,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_2989,c_70]) ).
tcf(c_5749,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(X0,sdtpldt0(xl,xn)) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_2993,c_70]) ).
tcf(c_5750,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_2994,c_70]) ).
tcf(c_5751,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3262,c_70]) ).
tcf(c_5752,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ( sdtpldt0(X0,sK0(xl,xl)) != xl ) ),
inference(superposition,[status(thm)],[c_3474,c_70]) ).
tcf(c_5753,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sdtpldt0(X0,sK0(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_3473,c_70]) ).
tcf(c_5754,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sdtpldt0(X0,sK0(xn,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_3472,c_70]) ).
tcf(c_5755,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xl))
| ( sdtpldt0(X0,sK0(sz00,xl)) != xl ) ),
inference(superposition,[status(thm)],[c_3480,c_70]) ).
tcf(c_5756,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( sdtpldt0(X0,sK0(sz00,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_3479,c_70]) ).
tcf(c_5757,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( sdtpldt0(X0,sK0(sz00,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_3478,c_70]) ).
tcf(c_5758,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(superposition,[status(thm)],[c_4265,c_70]) ).
tcf(c_5759,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(superposition,[status(thm)],[c_4266,c_70]) ).
tcf(c_5760,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != xq ) ),
inference(superposition,[status(thm)],[c_4948,c_70]) ).
tcf(c_5761,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xq ) ),
inference(superposition,[status(thm)],[c_4949,c_70]) ).
tcf(c_5763,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5735,c_93]) ).
tcf(c_5767,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5761,c_4938,c_93]) ).
tcf(c_5771,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5760,c_4938,c_93]) ).
tcf(c_5775,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5759,c_3837,c_93]) ).
tcf(c_5779,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5758,c_3837,c_93]) ).
tcf(c_5783,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5742,c_93,c_51]) ).
tcf(c_5787,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5741,c_93,c_50]) ).
tcf(c_5791,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5740,c_93,c_49]) ).
tcf(c_5795,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5739,c_93,c_51]) ).
tcf(c_5799,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5738,c_93,c_50]) ).
tcf(c_5803,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5737,c_93,c_49]) ).
tcf(c_5807,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5744,c_51,c_49]) ).
tcf(c_5811,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5743,c_50,c_49]) ).
tcf(c_5815,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( sdtpldt0(X0,sK0(sz00,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5757,c_93]) ).
tcf(c_5820,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( sdtpldt0(X0,sK0(sz00,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5756,c_93]) ).
tcf(c_5825,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xl))
| ( sdtpldt0(X0,sK0(sz00,xl)) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5755,c_93]) ).
tcf(c_5830,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sdtpldt0(X0,sK0(xn,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5754,c_51]) ).
tcf(c_5835,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sdtpldt0(X0,sK0(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5753,c_50]) ).
tcf(c_5840,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xl))
| ( sdtpldt0(X0,sK0(xl,xl)) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5752,c_49]) ).
tcf(c_5845,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ( sdtpldt0(X0,sK0(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5736,c_93]) ).
tcf(c_5850,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5750,c_93,c_2971]) ).
tcf(c_5854,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,xn)) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5749,c_93,c_2971]) ).
tcf(c_5858,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5747,c_93,c_2931]) ).
tcf(c_5862,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,xm)) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5746,c_93,c_2931]) ).
tcf(c_5866,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5748,c_49,c_2971]) ).
tcf(c_5870,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5745,c_49,c_2931]) ).
tcf(c_5874,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5751,c_49,c_3010]) ).
tcf(c_5984,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_2897,c_78]) ).
tcf(c_5985,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_2898,c_78]) ).
tcf(c_5986,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ doDivides0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2950,c_78]) ).
tcf(c_5989,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ doDivides0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2989,c_78]) ).
tcf(c_5992,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3262,c_78]) ).
tcf(c_5996,plain,
! [X0: $i] :
( doDivides0(X0,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xl))
| ~ doDivides0(X0,sK0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3480,c_78]) ).
tcf(c_5997,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ doDivides0(X0,sK0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3479,c_78]) ).
tcf(c_5998,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ doDivides0(X0,sK0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3478,c_78]) ).
tcf(c_6003,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_78,c_79]) ).
tcf(c_6004,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_78,c_82]) ).
tcf(c_6005,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5985,c_51,c_49]) ).
tcf(c_6010,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5984,c_50,c_49]) ).
tcf(c_6015,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ doDivides0(X0,sK0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5998,c_93]) ).
tcf(c_6021,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ doDivides0(X0,sK0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5997,c_93]) ).
tcf(c_6027,plain,
! [X0: $i] :
( doDivides0(X0,xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xl))
| ~ doDivides0(X0,sK0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5996,c_93]) ).
tcf(c_6033,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5989,c_49,c_2971]) ).
tcf(c_6038,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5986,c_49,c_2931]) ).
tcf(c_6059,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5992,c_49,c_3010]) ).
tcf(c_6092,plain,
( doDivides0(xr,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5001,c_140]) ).
tcf(c_6094,plain,
doDivides0(xr,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_6092,c_4939,c_93]) ).
tcf(c_6095,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(superposition,[status(thm)],[c_6094,c_79]) ).
tcf(c_6096,plain,
( ( sdtasdt0(xr,sK1(xr,sz00)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_6094,c_82]) ).
tcf(c_6097,plain,
sdtasdt0(xr,sK1(xr,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6096,c_4939,c_93]) ).
tcf(c_6098,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6095,c_4939,c_93]) ).
tcf(c_6106,plain,
( sdtlseqdt0(sz00,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5002,c_143]) ).
tcf(c_6108,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(superposition,[status(thm)],[c_5002,c_69]) ).
tcf(c_6109,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_5002,c_61]) ).
tcf(c_6111,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != xr ) ),
inference(superposition,[status(thm)],[c_5002,c_70]) ).
tcf(c_6112,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_5002,c_61]) ).
tcf(c_6113,plain,
sdtlseqdt0(sz00,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_6106,c_4939,c_93]) ).
tcf(c_6114,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6111,c_4939,c_93]) ).
tcf(c_6118,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6108,c_4939,c_93]) ).
tcf(c_6122,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6112,c_4939,c_93]) ).
tcf(c_6127,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6109,c_4939,c_93]) ).
tcf(c_6152,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_6113,c_99]) ).
tcf(c_6153,plain,
( ( sdtpldt0(sz00,sdtmndt0(xr,sz00)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_6113,c_104]) ).
tcf(c_6154,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xr,sz00) ),
inference(superposition,[status(thm)],[c_6113,c_100]) ).
tcf(c_6155,plain,
( ( sdtpldt0(sz00,sK0(sz00,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_6113,c_66]) ).
tcf(c_6156,plain,
sdtpldt0(sz00,sK0(sz00,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_6155,c_4939,c_93]) ).
tcf(c_6157,plain,
( ( sz00 = xr )
| ~ sdtlseqdt0(xr,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6154,c_4939,c_93]) ).
tcf(c_6160,plain,
sdtpldt0(sz00,sdtmndt0(xr,sz00)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_6153,c_4939,c_93]) ).
tcf(c_6161,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6152,c_4939,c_93]) ).
tcf(c_6169,plain,
( sdtlseqdt0(xr,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5003,c_143]) ).
tcf(c_6171,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_5003,c_69]) ).
tcf(c_6172,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5003,c_61]) ).
tcf(c_6174,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xr ) ),
inference(superposition,[status(thm)],[c_5003,c_70]) ).
tcf(c_6175,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5003,c_61]) ).
tcf(c_6176,plain,
sdtlseqdt0(xr,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_6169,c_4939,c_93]) ).
tcf(c_6177,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6174,c_4939,c_93]) ).
tcf(c_6181,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6171,c_4939,c_93]) ).
tcf(c_6185,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6175,c_4939,c_93]) ).
tcf(c_6190,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6172,c_4939,c_93]) ).
tcf(c_6204,plain,
( ( sdtpldt0(xr,sdtmndt0(xr,xr)) = xr )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_6176,c_104]) ).
tcf(c_6206,plain,
( ( sdtpldt0(xr,sK0(xr,xr)) = xr )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_6176,c_66]) ).
tcf(c_6207,plain,
sdtpldt0(xr,sK0(xr,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_6206,c_4939]) ).
tcf(c_6208,plain,
sdtpldt0(xr,sdtmndt0(xr,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_6204,c_4939]) ).
tcf(c_6210,plain,
( ( sdtpldt0(sdtpldt0(xl,xn),sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4415,c_104]) ).
tcf(c_6212,plain,
( ( sdtpldt0(sdtpldt0(xl,xn),sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4415,c_66]) ).
tcf(c_6213,plain,
sdtpldt0(sdtpldt0(xl,xn),sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) = sdtpldt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_6212,c_2971]) ).
tcf(c_6214,plain,
sdtpldt0(sdtpldt0(xl,xn),sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) = sdtpldt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_6210,c_2971]) ).
tcf(c_6215,plain,
( sdtlseqdt0(xm,sz00)
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_3544,c_83]) ).
tcf(c_6216,plain,
( ( xm = sz00 )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_3544,c_88]) ).
tcf(c_6219,plain,
( sdtlseqdt0(xm,sz00)
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6215,c_50]) ).
tcf(c_6223,plain,
( ( xm = sz00 )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6216,c_50]) ).
tcf(c_6243,plain,
( sdtlseqdt0(xl,sz00)
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK1(xl,sz00)) ),
inference(superposition,[status(thm)],[c_3545,c_83]) ).
tcf(c_6244,plain,
( ( xl = sz00 )
| ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK1(xl,sz00)) ),
inference(superposition,[status(thm)],[c_3545,c_88]) ).
tcf(c_6247,plain,
( ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6243,c_3951,c_49]) ).
tcf(c_6251,plain,
( sdtlseqdt0(xl,xm)
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK1(xl,xm)) ),
inference(superposition,[status(thm)],[c_3546,c_83]) ).
tcf(c_6252,plain,
( ( xl = sz00 )
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK1(xl,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_3546,c_88]) ).
tcf(c_6255,plain,
( sdtlseqdt0(xl,xm)
| ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(sK1(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6251,c_49]) ).
tcf(c_6259,plain,
( ( sK1(xl,xm) = sz00 )
| ~ aNaturalNumber0(sK1(xl,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6252,c_54,c_49]) ).
tcf(c_6289,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(xm,xl)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_52,c_96]) ).
tcf(c_6290,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_96]) ).
tcf(c_6291,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_78,c_96]) ).
tcf(c_6292,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_140,c_96]) ).
tcf(c_6294,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2629,c_96]) ).
tcf(c_6295,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2628,c_96]) ).
tcf(c_6296,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2627,c_96]) ).
tcf(c_6297,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3291,c_96]) ).
tcf(c_6298,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_3298,c_96]) ).
tcf(c_6299,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4343,c_96]) ).
tcf(c_6300,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sz00,xq)) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5110,c_96]) ).
tcf(c_6301,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sz00,xr)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_6094,c_96]) ).
tcf(c_6302,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sz00,xr)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6301,c_4939,c_93]) ).
tcf(c_6305,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sz00,xq)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6300,c_4938,c_93]) ).
tcf(c_6308,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6299,c_3837,c_93]) ).
tcf(c_6311,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6296,c_93,c_51]) ).
tcf(c_6314,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6295,c_93,c_50]) ).
tcf(c_6317,plain,
sdtasdt0(xl,sdtsldt0(sz00,xl)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6294,c_54,c_93,c_49]) ).
tcf(c_6318,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(light_normalisation,[status(thm)],[c_6289,c_55]) ).
tcf(c_6319,plain,
sdtasdt0(xl,xp) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_6318,c_54,c_50,c_49]) ).
tcf(c_6320,plain,
( ( xl = sz00 )
| ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(light_normalisation,[status(thm)],[c_6290,c_56]) ).
tcf(c_6321,plain,
( ( sdtpldt0(xm,xn) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6320,c_54,c_49]) ).
tcf(c_6324,plain,
sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(sz00,sdtpldt0(xl,xn))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6298,c_3441,c_93,c_2971]) ).
tcf(c_6325,plain,
sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(sz00,sdtpldt0(xl,xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6297,c_3442,c_93,c_2931]) ).
tcf(c_6339,plain,
sdtpldt0(xm,sdtasdt0(xl,xr)) != sdtpldt0(xm,xn),
inference(demodulation,[status(thm)],[c_59,c_6319]) ).
tcf(c_6372,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_71]) ).
tcf(c_6373,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_71]) ).
tcf(c_6374,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_71]) ).
tcf(c_6375,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_77,c_71]) ).
tcf(c_6376,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_65,c_71]) ).
tcf(c_6377,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_107,c_71]) ).
tcf(c_6378,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_81,c_71]) ).
tcf(c_6379,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_93,c_71]) ).
tcf(c_6380,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_95,c_71]) ).
tcf(c_6381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtmndt0(X1,X0))) = sdtasdt0(X2,sdtpldt0(X3,sdtmndt0(X1,X0))) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_71]) ).
tcf(c_6382,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,xm))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2931,c_71]) ).
tcf(c_6383,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_2971,c_71]) ).
tcf(c_6384,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3010,c_71]) ).
tcf(c_6385,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xr)) = sdtasdt0(X0,sdtpldt0(X1,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4939,c_71]) ).
tcf(c_6386,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_3837,c_71]) ).
tcf(c_6387,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_4938,c_71]) ).
tcf(c_6388,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3373,c_71]) ).
tcf(c_6506,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_72]) ).
tcf(c_6507,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_72]) ).
tcf(c_6508,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_72]) ).
tcf(c_6509,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_77,c_72]) ).
tcf(c_6510,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_65,c_72]) ).
tcf(c_6511,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_107,c_72]) ).
tcf(c_6512,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_81,c_72]) ).
tcf(c_6513,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_93,c_72]) ).
tcf(c_6514,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_95,c_72]) ).
tcf(c_6515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(sdtmndt0(X1,X0),X2)) = sdtasdt0(sdtpldt0(X3,sdtmndt0(X1,X0)),X2) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_72]) ).
tcf(c_6516,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,xm),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,xm)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2931,c_72]) ).
tcf(c_6517,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_2971,c_72]) ).
tcf(c_6518,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3010,c_72]) ).
tcf(c_6519,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(xr,X0)) = sdtasdt0(sdtpldt0(X1,xr),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4939,c_72]) ).
tcf(c_6520,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_3837,c_72]) ).
tcf(c_6521,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_4938,c_72]) ).
tcf(c_6522,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3373,c_72]) ).
tcf(c_6636,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2531,c_63]) ).
tcf(c_6637,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK0(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_3475,c_63]) ).
tcf(c_6638,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sz00))
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_2528,c_63]) ).
tcf(c_6639,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_2529,c_63]) ).
tcf(c_6640,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_2530,c_63]) ).
tcf(c_6641,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2536,c_63]) ).
tcf(c_6642,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2537,c_63]) ).
tcf(c_6643,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2538,c_63]) ).
tcf(c_6644,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,xl))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_2897,c_63]) ).
tcf(c_6645,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_2898,c_63]) ).
tcf(c_6646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_2950,c_63]) ).
tcf(c_6647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sdtpldt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2954,c_63]) ).
tcf(c_6648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_2955,c_63]) ).
tcf(c_6649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_2989,c_63]) ).
tcf(c_6650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sdtpldt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2993,c_63]) ).
tcf(c_6651,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_2994,c_63]) ).
tcf(c_6652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_3262,c_63]) ).
tcf(c_6653,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_3474,c_63]) ).
tcf(c_6654,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_3473,c_63]) ).
tcf(c_6655,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_3472,c_63]) ).
tcf(c_6656,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sK0(sz00,xl)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3480,c_63]) ).
tcf(c_6657,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(sz00,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3479,c_63]) ).
tcf(c_6658,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(sz00,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3478,c_63]) ).
tcf(c_6659,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4265,c_63]) ).
tcf(c_6660,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_4266,c_63]) ).
tcf(c_6661,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4948,c_63]) ).
tcf(c_6662,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sz00))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_4949,c_63]) ).
tcf(c_6663,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5002,c_63]) ).
tcf(c_6664,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sz00))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_5003,c_63]) ).
tcf(c_6665,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2531,c_63]) ).
tcf(c_6666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_3475,c_63]) ).
tcf(c_6667,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_2528,c_63]) ).
tcf(c_6668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_2529,c_63]) ).
tcf(c_6669,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_2530,c_63]) ).
tcf(c_6670,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2536,c_63]) ).
tcf(c_6671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2537,c_63]) ).
tcf(c_6672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2538,c_63]) ).
tcf(c_6673,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_2897,c_63]) ).
tcf(c_6674,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_2898,c_63]) ).
tcf(c_6675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2950,c_63]) ).
tcf(c_6676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2954,c_63]) ).
tcf(c_6677,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2955,c_63]) ).
tcf(c_6678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2989,c_63]) ).
tcf(c_6679,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2993,c_63]) ).
tcf(c_6680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2994,c_63]) ).
tcf(c_6681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3262,c_63]) ).
tcf(c_6682,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_3474,c_63]) ).
tcf(c_6683,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_3473,c_63]) ).
tcf(c_6684,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_3472,c_63]) ).
tcf(c_6685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xl)),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3480,c_63]) ).
tcf(c_6686,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xm)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3479,c_63]) ).
tcf(c_6687,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xn)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3478,c_63]) ).
tcf(c_6688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4265,c_63]) ).
tcf(c_6689,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_4266,c_63]) ).
tcf(c_6690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4948,c_63]) ).
tcf(c_6691,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_4949,c_63]) ).
tcf(c_6692,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5002,c_63]) ).
tcf(c_6693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_5003,c_63]) ).
tcf(c_6694,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_63,c_99]) ).
tcf(c_6695,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X2,X1),sdtpldt0(X0,X1))) = sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_63,c_104]) ).
tcf(c_6696,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_63,c_100]) ).
tcf(c_6697,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_63,c_66]) ).
tcf(c_6698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6665,c_93]) ).
tcf(c_6703,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6636,c_93]) ).
tcf(c_6708,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6693,c_4939,c_93]) ).
tcf(c_6713,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6692,c_4939,c_93]) ).
tcf(c_6718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6691,c_4938,c_93]) ).
tcf(c_6723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6690,c_4938,c_93]) ).
tcf(c_6728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6689,c_3837,c_93]) ).
tcf(c_6733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6688,c_3837,c_93]) ).
tcf(c_6738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6672,c_93,c_51]) ).
tcf(c_6743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6671,c_93,c_50]) ).
tcf(c_6748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6670,c_93,c_49]) ).
tcf(c_6753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6669,c_93,c_51]) ).
tcf(c_6758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6668,c_93,c_50]) ).
tcf(c_6763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6667,c_93,c_49]) ).
tcf(c_6768,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sz00))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6664,c_4939,c_93]) ).
tcf(c_6773,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6663,c_4939,c_93]) ).
tcf(c_6778,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sz00))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6662,c_4938,c_93]) ).
tcf(c_6783,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6661,c_4938,c_93]) ).
tcf(c_6788,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6660,c_3837,c_93]) ).
tcf(c_6793,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6659,c_3837,c_93]) ).
tcf(c_6798,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6643,c_93,c_51]) ).
tcf(c_6803,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6642,c_93,c_50]) ).
tcf(c_6808,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6641,c_93,c_49]) ).
tcf(c_6813,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6640,c_93,c_51]) ).
tcf(c_6818,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6639,c_93,c_50]) ).
tcf(c_6823,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sz00))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6638,c_93,c_49]) ).
tcf(c_6828,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6674,c_51,c_49]) ).
tcf(c_6833,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6673,c_50,c_49]) ).
tcf(c_6838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,xl))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6645,c_51,c_49]) ).
tcf(c_6843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,xl))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6644,c_50,c_49]) ).
tcf(c_6848,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xn)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6687,c_93]) ).
tcf(c_6854,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xm)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6686,c_93]) ).
tcf(c_6860,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xl)),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6685,c_93]) ).
tcf(c_6866,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_6684,c_51]) ).
tcf(c_6872,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_6683,c_50]) ).
tcf(c_6878,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_6682,c_49]) ).
tcf(c_6884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6666,c_93]) ).
tcf(c_6890,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(sz00,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6658,c_93]) ).
tcf(c_6896,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(sz00,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6657,c_93]) ).
tcf(c_6902,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sK0(sz00,xl)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6656,c_93]) ).
tcf(c_6908,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_6655,c_51]) ).
tcf(c_6914,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_6654,c_50]) ).
tcf(c_6920,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_6653,c_49]) ).
tcf(c_6926,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK0(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6637,c_93]) ).
tcf(c_6932,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6679,c_93,c_2971]) ).
tcf(c_6937,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6676,c_93,c_2931]) ).
tcf(c_6942,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sdtpldt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6650,c_93,c_2971]) ).
tcf(c_6947,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sdtpldt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6647,c_93,c_2931]) ).
tcf(c_6952,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6680,c_93,c_2971]) ).
tcf(c_6957,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6677,c_93,c_2931]) ).
tcf(c_6962,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6651,c_93,c_2971]) ).
tcf(c_6967,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6648,c_93,c_2931]) ).
tcf(c_6972,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6678,c_49,c_2971]) ).
tcf(c_6977,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6675,c_49,c_2931]) ).
tcf(c_6982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6649,c_49,c_2971]) ).
tcf(c_6987,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6646,c_49,c_2931]) ).
tcf(c_6992,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6681,c_49,c_3010]) ).
tcf(c_6997,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6652,c_49,c_3010]) ).
tcf(c_7228,plain,
( sdtlseqdt0(xl,xm)
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_6319,c_83]) ).
tcf(c_7229,plain,
( ( sz00 = xp )
| ( xl = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_6319,c_88]) ).
tcf(c_7232,plain,
( sdtlseqdt0(xl,xm)
| ( sz00 = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7228,c_3837,c_49]) ).
tcf(c_7235,plain,
( ( sz00 = xp )
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7229,c_54,c_3837,c_49]) ).
tcf(c_7242,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sz00 = xp )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_7232,c_99]) ).
tcf(c_7243,plain,
( ( sz00 = xp )
| ( sdtpldt0(xl,sdtmndt0(xm,xl)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_7232,c_104]) ).
tcf(c_7244,plain,
( ( sz00 = xp )
| ( xl = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xm,xl) ),
inference(superposition,[status(thm)],[c_7232,c_100]) ).
tcf(c_7245,plain,
( ( sz00 = xp )
| ( sdtpldt0(xl,sK0(xl,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_7232,c_66]) ).
tcf(c_7246,plain,
( ( sz00 = xp )
| ( sdtpldt0(xl,sK0(xl,xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7245,c_50,c_49]) ).
tcf(c_7249,plain,
( ( sz00 = xp )
| ( xl = xm )
| ~ sdtlseqdt0(xm,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7244,c_50,c_49]) ).
tcf(c_7253,plain,
( ( sz00 = xp )
| ( sdtpldt0(xl,sdtmndt0(xm,xl)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7243,c_50,c_49]) ).
tcf(c_7256,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sz00 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7242,c_50,c_49]) ).
tcf(c_7263,plain,
( ( sdtmndt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_4055,c_68]) ).
tcf(c_7267,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_4055,c_63]) ).
tcf(c_7268,plain,
! [X0: $i] :
( ( sdtmndt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_4055,c_69]) ).
tcf(c_7269,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sdtmndt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ~ sdtlseqdt0(sdtmndt0(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_4055,c_61]) ).
tcf(c_7271,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ( sdtpldt0(X0,sdtmndt0(xn,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_4055,c_70]) ).
tcf(c_7272,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sdtmndt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtmndt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_4055,c_61]) ).
tcf(c_7273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_4055,c_63]) ).
tcf(c_7274,plain,
( ( sdtmndt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7263,c_51]) ).
tcf(c_7278,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ( sdtpldt0(X0,sdtmndt0(xn,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7271,c_51]) ).
tcf(c_7283,plain,
! [X0: $i] :
( ( sdtmndt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7268,c_51]) ).
tcf(c_7288,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7273,c_51]) ).
tcf(c_7294,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7267,c_51]) ).
tcf(c_7300,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sdtmndt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtmndt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7272,c_51]) ).
tcf(c_7306,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sdtmndt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ~ sdtlseqdt0(sdtmndt0(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7269,c_51]) ).
tcf(c_7320,plain,
( ( sdtmndt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_4056,c_68]) ).
tcf(c_7324,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_4056,c_63]) ).
tcf(c_7325,plain,
! [X0: $i] :
( ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_4056,c_69]) ).
tcf(c_7326,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ sdtlseqdt0(sdtmndt0(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_4056,c_61]) ).
tcf(c_7328,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( sdtpldt0(X0,sdtmndt0(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_4056,c_70]) ).
tcf(c_7329,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_4056,c_61]) ).
tcf(c_7330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_4056,c_63]) ).
tcf(c_7331,plain,
( ( sdtmndt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7320,c_50]) ).
tcf(c_7335,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( sdtpldt0(X0,sdtmndt0(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7328,c_50]) ).
tcf(c_7340,plain,
! [X0: $i] :
( ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7325,c_50]) ).
tcf(c_7345,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7330,c_50]) ).
tcf(c_7351,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7324,c_50]) ).
tcf(c_7357,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7329,c_50]) ).
tcf(c_7363,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ sdtlseqdt0(sdtmndt0(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7326,c_50]) ).
tcf(c_7470,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sdtmndt0(xl,xl)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtmndt0(xl,xl)) ),
inference(superposition,[status(thm)],[c_4057,c_63]) ).
tcf(c_7471,plain,
! [X0: $i] :
( ( sdtmndt0(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xl,xl))
| ( sdtpldt0(xl,X0) != xl ) ),
inference(superposition,[status(thm)],[c_4057,c_69]) ).
tcf(c_7472,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( sdtmndt0(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xl,xl))
| ~ sdtlseqdt0(sdtmndt0(xl,xl),X0) ),
inference(superposition,[status(thm)],[c_4057,c_61]) ).
tcf(c_7474,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xl,xl))
| ( sdtpldt0(X0,sdtmndt0(xl,xl)) != xl ) ),
inference(superposition,[status(thm)],[c_4057,c_70]) ).
tcf(c_7475,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xl)
| ( sdtmndt0(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xl,xl))
| ~ sdtlseqdt0(X0,sdtmndt0(xl,xl)) ),
inference(superposition,[status(thm)],[c_4057,c_61]) ).
tcf(c_7476,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xl,xl)),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtmndt0(xl,xl)) ),
inference(superposition,[status(thm)],[c_4057,c_63]) ).
tcf(c_7477,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xl,xl))
| ( sdtpldt0(X0,sdtmndt0(xl,xl)) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7474,c_49]) ).
tcf(c_7482,plain,
! [X0: $i] :
( ( sdtmndt0(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xl,xl))
| ( sdtpldt0(xl,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7471,c_49]) ).
tcf(c_7487,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xl,xl)),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtmndt0(xl,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7476,c_49]) ).
tcf(c_7493,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sdtmndt0(xl,xl)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtmndt0(xl,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7470,c_49]) ).
tcf(c_7499,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xl)
| ( sdtmndt0(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xl,xl))
| ~ sdtlseqdt0(X0,sdtmndt0(xl,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7475,c_49]) ).
tcf(c_7505,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( sdtmndt0(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xl,xl))
| ~ sdtlseqdt0(sdtmndt0(xl,xl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7472,c_49]) ).
tcf(c_7518,plain,
( ( sdtmndt0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_4058,c_68]) ).
tcf(c_7522,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sdtmndt0(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_4058,c_63]) ).
tcf(c_7523,plain,
! [X0: $i] :
( ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4058,c_69]) ).
tcf(c_7524,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ sdtlseqdt0(sdtmndt0(sz00,sz00),X0) ),
inference(superposition,[status(thm)],[c_4058,c_61]) ).
tcf(c_7526,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ( sdtpldt0(X0,sdtmndt0(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4058,c_70]) ).
tcf(c_7527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_4058,c_61]) ).
tcf(c_7528,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_4058,c_63]) ).
tcf(c_7529,plain,
( ( sdtmndt0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7518,c_93]) ).
tcf(c_7532,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ( sdtpldt0(X0,sdtmndt0(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7526,c_93]) ).
tcf(c_7537,plain,
! [X0: $i] :
( ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7523,c_93]) ).
tcf(c_7542,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7528,c_93]) ).
tcf(c_7548,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sdtmndt0(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7522,c_93]) ).
tcf(c_7554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7527,c_93]) ).
tcf(c_7560,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ sdtlseqdt0(sdtmndt0(sz00,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7524,c_93]) ).
tcf(c_7622,plain,
( ( sdtmndt0(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_4061,c_68]) ).
tcf(c_7626,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xn,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_4061,c_63]) ).
tcf(c_7627,plain,
! [X0: $i] :
( ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_4061,c_69]) ).
tcf(c_7628,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ sdtlseqdt0(sdtmndt0(xn,sz00),X0) ),
inference(superposition,[status(thm)],[c_4061,c_61]) ).
tcf(c_7629,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ doDivides0(X0,sdtmndt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_4061,c_78]) ).
tcf(c_7630,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ( sdtpldt0(X0,sdtmndt0(xn,sz00)) != xn ) ),
inference(superposition,[status(thm)],[c_4061,c_70]) ).
tcf(c_7631,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_4061,c_61]) ).
tcf(c_7632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,sz00)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_4061,c_63]) ).
tcf(c_7633,plain,
( ( sdtmndt0(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7622,c_93]) ).
tcf(c_7637,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ( sdtpldt0(X0,sdtmndt0(xn,sz00)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7630,c_93]) ).
tcf(c_7642,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ doDivides0(X0,sdtmndt0(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7629,c_93]) ).
tcf(c_7648,plain,
! [X0: $i] :
( ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7627,c_93]) ).
tcf(c_7653,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,sz00)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7632,c_93]) ).
tcf(c_7659,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xn,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7626,c_93]) ).
tcf(c_7665,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7631,c_93]) ).
tcf(c_7671,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ sdtlseqdt0(sdtmndt0(xn,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7628,c_93]) ).
tcf(c_7683,plain,
( ( sdtmndt0(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_4062,c_68]) ).
tcf(c_7687,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00)) ),
inference(superposition,[status(thm)],[c_4062,c_63]) ).
tcf(c_7688,plain,
! [X0: $i] :
( ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_4062,c_69]) ).
tcf(c_7689,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ sdtlseqdt0(sdtmndt0(xm,sz00),X0) ),
inference(superposition,[status(thm)],[c_4062,c_61]) ).
tcf(c_7690,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ doDivides0(X0,sdtmndt0(xm,sz00)) ),
inference(superposition,[status(thm)],[c_4062,c_78]) ).
tcf(c_7691,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( sdtpldt0(X0,sdtmndt0(xm,sz00)) != xm ) ),
inference(superposition,[status(thm)],[c_4062,c_70]) ).
tcf(c_7692,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,sz00)) ),
inference(superposition,[status(thm)],[c_4062,c_61]) ).
tcf(c_7693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,sz00)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00)) ),
inference(superposition,[status(thm)],[c_4062,c_63]) ).
tcf(c_7694,plain,
( ( sdtmndt0(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7683,c_93]) ).
tcf(c_7698,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( sdtpldt0(X0,sdtmndt0(xm,sz00)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7691,c_93]) ).
tcf(c_7703,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ doDivides0(X0,sdtmndt0(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7690,c_93]) ).
tcf(c_7709,plain,
! [X0: $i] :
( ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7688,c_93]) ).
tcf(c_7714,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,sz00)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7693,c_93]) ).
tcf(c_7720,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7687,c_93]) ).
tcf(c_7726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7692,c_93]) ).
tcf(c_7732,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ sdtlseqdt0(sdtmndt0(xm,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7689,c_93]) ).
tcf(c_7780,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sdtmndt0(xl,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xl,sz00)) ),
inference(superposition,[status(thm)],[c_4063,c_63]) ).
tcf(c_7781,plain,
! [X0: $i] :
( ( sdtmndt0(xl,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xl,sz00))
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(superposition,[status(thm)],[c_4063,c_69]) ).
tcf(c_7782,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X0))
| ( sdtmndt0(xl,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xl,sz00))
| ~ sdtlseqdt0(sdtmndt0(xl,sz00),X0) ),
inference(superposition,[status(thm)],[c_4063,c_61]) ).
tcf(c_7783,plain,
! [X0: $i] :
( doDivides0(X0,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xl,sz00))
| ~ doDivides0(X0,sdtmndt0(xl,sz00)) ),
inference(superposition,[status(thm)],[c_4063,c_78]) ).
tcf(c_7784,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xl,sz00))
| ( sdtpldt0(X0,sdtmndt0(xl,sz00)) != xl ) ),
inference(superposition,[status(thm)],[c_4063,c_70]) ).
tcf(c_7785,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| ( sdtmndt0(xl,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xl,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xl,sz00)) ),
inference(superposition,[status(thm)],[c_4063,c_61]) ).
tcf(c_7786,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xl,sz00)),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xl,sz00)) ),
inference(superposition,[status(thm)],[c_4063,c_63]) ).
tcf(c_7787,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xl,sz00))
| ( sdtpldt0(X0,sdtmndt0(xl,sz00)) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7784,c_93]) ).
tcf(c_7792,plain,
! [X0: $i] :
( doDivides0(X0,xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xl,sz00))
| ~ doDivides0(X0,sdtmndt0(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7783,c_93]) ).
tcf(c_7798,plain,
! [X0: $i] :
( ( sdtmndt0(xl,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xl,sz00))
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7781,c_93]) ).
tcf(c_7803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xl,sz00)),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7786,c_93]) ).
tcf(c_7809,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sdtmndt0(xl,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7780,c_93]) ).
tcf(c_7815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| ( sdtmndt0(xl,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xl,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7785,c_93]) ).
tcf(c_7821,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X0))
| ( sdtmndt0(xl,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xl,sz00))
| ~ sdtlseqdt0(sdtmndt0(xl,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7782,c_93]) ).
tcf(c_7833,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_4261,c_68]) ).
tcf(c_7834,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_4261,c_67]) ).
tcf(c_7835,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_4261,c_143]) ).
tcf(c_7836,plain,
( aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_4261,c_77]) ).
tcf(c_7837,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_4261,c_63]) ).
tcf(c_7838,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_4261,c_69]) ).
tcf(c_7839,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_4261,c_61]) ).
tcf(c_7840,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_4261,c_78]) ).
tcf(c_7841,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_4261,c_70]) ).
tcf(c_7842,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_4261,c_61]) ).
tcf(c_7843,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_4261,c_63]) ).
tcf(c_7844,plain,
aNaturalNumber0(sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_7836,c_3837,c_49]) ).
tcf(c_7845,plain,
sdtlseqdt0(xp,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_7835,c_3837,c_49]) ).
tcf(c_7849,plain,
sdtpldt0(xl,xp) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7833,c_54,c_3837,c_49]) ).
tcf(c_7850,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7841,c_3837,c_49]) ).
tcf(c_7854,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7840,c_3837,c_49]) ).
tcf(c_7859,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7838,c_3837,c_49]) ).
tcf(c_7863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7843,c_3837,c_49]) ).
tcf(c_7868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xl,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7842,c_3837,c_49]) ).
tcf(c_7873,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xp,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7839,c_3837,c_49]) ).
tcf(c_7878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,xl))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7837,c_3837,c_49]) ).
tcf(c_7891,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_7844,c_72]) ).
tcf(c_7892,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_7844,c_71]) ).
tcf(c_7893,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_7844,c_105]) ).
tcf(c_7894,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_7844,c_75]) ).
tcf(c_7895,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7844,c_153]) ).
tcf(c_7896,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7844,c_146]) ).
tcf(c_7897,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xp),X0) = sdtasdt0(X0,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7844,c_106]) ).
tcf(c_7898,plain,
sdtpldt0(sdtpldt0(xl,xp),xl) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_7844,c_2809]) ).
tcf(c_7899,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xp),X0) = sdtpldt0(X0,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7844,c_76]) ).
tcf(c_7900,plain,
sdtasdt0(sz00,sdtpldt0(xl,xp)) = sz00,
inference(superposition,[status(thm)],[c_7844,c_92]) ).
tcf(c_7901,plain,
sdtasdt0(sdtpldt0(xl,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_7844,c_91]) ).
tcf(c_7902,plain,
sdtpldt0(sz00,sdtpldt0(xl,xp)) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_7844,c_74]) ).
tcf(c_7903,plain,
sdtpldt0(sdtpldt0(xl,xp),sz00) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_7844,c_73]) ).
tcf(c_7994,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3265,c_140]) ).
tcf(c_7996,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7994,c_93,c_3010]) ).
tcf(c_8048,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != xm ) ),
inference(superposition,[status(thm)],[c_6319,c_89]) ).
tcf(c_8051,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2544,c_89]) ).
tcf(c_8052,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2545,c_89]) ).
tcf(c_8053,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2546,c_89]) ).
tcf(c_8058,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2953,c_89]) ).
tcf(c_8060,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2992,c_89]) ).
tcf(c_8062,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3265,c_89]) ).
tcf(c_8063,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_3546,c_89]) ).
tcf(c_8064,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_3545,c_89]) ).
tcf(c_8065,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_3544,c_89]) ).
tcf(c_8066,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_3543,c_89]) ).
tcf(c_8068,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4264,c_89]) ).
tcf(c_8070,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4947,c_89]) ).
tcf(c_8072,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5001,c_89]) ).
tcf(c_8074,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8072,c_4939,c_93]) ).
tcf(c_8079,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8070,c_4938,c_93]) ).
tcf(c_8084,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8068,c_3837,c_93]) ).
tcf(c_8089,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8053,c_93,c_51]) ).
tcf(c_8094,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8052,c_93,c_50]) ).
tcf(c_8099,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8051,c_54,c_93,c_49]) ).
tcf(c_8103,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8048,c_54,c_3837,c_49]) ).
tcf(c_8107,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_8066,c_51]) ).
tcf(c_8113,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8065,c_50]) ).
tcf(c_8119,plain,
! [X0: $i] :
( ( sK1(xl,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,sz00))
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8064,c_54,c_49]) ).
tcf(c_8124,plain,
! [X0: $i] :
( ( sK1(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xl,xm))
| ( sdtasdt0(xl,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8063,c_54,c_49]) ).
tcf(c_8129,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8060,c_3441,c_93,c_2971]) ).
tcf(c_8133,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8058,c_3442,c_93,c_2931]) ).
tcf(c_8137,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8062,c_93,c_3010]) ).
tcf(c_8183,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xm ) ),
inference(superposition,[status(thm)],[c_6319,c_90]) ).
tcf(c_8185,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_3542,c_90]) ).
tcf(c_8189,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sz00 ) ),
inference(superposition,[status(thm)],[c_2552,c_90]) ).
tcf(c_8190,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_2553,c_90]) ).
tcf(c_8191,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_2554,c_90]) ).
tcf(c_8192,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(X0,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2952,c_90]) ).
tcf(c_8194,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(X0,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2991,c_90]) ).
tcf(c_8196,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3264,c_90]) ).
tcf(c_8198,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_3546,c_90]) ).
tcf(c_8199,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_3545,c_90]) ).
tcf(c_8200,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_3544,c_90]) ).
tcf(c_8201,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_3543,c_90]) ).
tcf(c_8202,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_4263,c_90]) ).
tcf(c_8204,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_4946,c_90]) ).
tcf(c_8206,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_5000,c_90]) ).
tcf(c_8209,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8206,c_4939,c_93]) ).
tcf(c_8214,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8204,c_4938,c_93]) ).
tcf(c_8219,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8202,c_3837,c_93]) ).
tcf(c_8224,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8191,c_93,c_51]) ).
tcf(c_8229,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8190,c_93,c_50]) ).
tcf(c_8234,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8189,c_54,c_93,c_49]) ).
tcf(c_8238,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8183,c_3837,c_49]) ).
tcf(c_8243,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_8201,c_51]) ).
tcf(c_8249,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_8200,c_50]) ).
tcf(c_8255,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_8199,c_49]) ).
tcf(c_8261,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_8198,c_49]) ).
tcf(c_8267,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8194,c_3441,c_93,c_2971]) ).
tcf(c_8271,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8192,c_3442,c_93,c_2931]) ).
tcf(c_8275,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_8185,c_93]) ).
tcf(c_8281,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8196,c_93,c_3010]) ).
tcf(c_8369,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_6319,c_85]) ).
tcf(c_8372,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_2544,c_85]) ).
tcf(c_8373,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_2545,c_85]) ).
tcf(c_8374,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_2546,c_85]) ).
tcf(c_8379,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xm),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2953,c_85]) ).
tcf(c_8381,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2992,c_85]) ).
tcf(c_8383,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3265,c_85]) ).
tcf(c_8384,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_3546,c_85]) ).
tcf(c_8385,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_3545,c_85]) ).
tcf(c_8386,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_3544,c_85]) ).
tcf(c_8387,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_3543,c_85]) ).
tcf(c_8389,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_4264,c_85]) ).
tcf(c_8391,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_4947,c_85]) ).
tcf(c_8393,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5001,c_85]) ).
tcf(c_8394,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_6319,c_85]) ).
tcf(c_8397,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_2544,c_85]) ).
tcf(c_8398,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_2545,c_85]) ).
tcf(c_8399,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_2546,c_85]) ).
tcf(c_8404,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2953,c_85]) ).
tcf(c_8406,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2992,c_85]) ).
tcf(c_8408,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3265,c_85]) ).
tcf(c_8409,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_3546,c_85]) ).
tcf(c_8410,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_3545,c_85]) ).
tcf(c_8411,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_3544,c_85]) ).
tcf(c_8412,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_3543,c_85]) ).
tcf(c_8414,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_4264,c_85]) ).
tcf(c_8416,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_4947,c_85]) ).
tcf(c_8418,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5001,c_85]) ).
tcf(c_8419,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_85,c_99]) ).
tcf(c_8420,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtmndt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))) = sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_104]) ).
tcf(c_8421,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_85,c_100]) ).
tcf(c_8422,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_85,c_66]) ).
tcf(c_8423,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8418,c_4939,c_93]) ).
tcf(c_8429,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sz00)
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8416,c_4938,c_93]) ).
tcf(c_8435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8414,c_3837,c_93]) ).
tcf(c_8441,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8399,c_93,c_51]) ).
tcf(c_8447,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8398,c_93,c_50]) ).
tcf(c_8453,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8397,c_54,c_93,c_49]) ).
tcf(c_8458,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8394,c_54,c_3837,c_49]) ).
tcf(c_8463,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8393,c_4939,c_93]) ).
tcf(c_8469,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8391,c_4938,c_93]) ).
tcf(c_8475,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8389,c_3837,c_93]) ).
tcf(c_8481,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8374,c_93,c_51]) ).
tcf(c_8487,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8373,c_93,c_50]) ).
tcf(c_8493,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8372,c_54,c_93,c_49]) ).
tcf(c_8498,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8369,c_54,c_3837,c_49]) ).
tcf(c_8503,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_8412,c_51]) ).
tcf(c_8510,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(X0,sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8411,c_50]) ).
tcf(c_8517,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_8410,c_54,c_49]) ).
tcf(c_8523,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_8409,c_54,c_49]) ).
tcf(c_8529,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8406,c_3441,c_93,c_2971]) ).
tcf(c_8534,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8404,c_3442,c_93,c_2931]) ).
tcf(c_8539,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_8387,c_51]) ).
tcf(c_8546,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sK1(xm,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8386,c_50]) ).
tcf(c_8553,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_8385,c_54,c_49]) ).
tcf(c_8559,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_8384,c_54,c_49]) ).
tcf(c_8565,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8381,c_3441,c_93,c_2971]) ).
tcf(c_8570,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8379,c_3442,c_93,c_2931]) ).
tcf(c_8575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8408,c_93,c_3010]) ).
tcf(c_8581,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8383,c_93,c_3010]) ).
tcf(c_8670,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_6319,c_87]) ).
tcf(c_8672,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_3542,c_87]) ).
tcf(c_8676,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_2552,c_87]) ).
tcf(c_8677,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_2553,c_87]) ).
tcf(c_8678,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_2554,c_87]) ).
tcf(c_8679,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xm)))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2952,c_87]) ).
tcf(c_8681,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xn)))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2991,c_87]) ).
tcf(c_8683,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3264,c_87]) ).
tcf(c_8685,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_3546,c_87]) ).
tcf(c_8686,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_3545,c_87]) ).
tcf(c_8687,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_3544,c_87]) ).
tcf(c_8688,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_3543,c_87]) ).
tcf(c_8689,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_4263,c_87]) ).
tcf(c_8691,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_4946,c_87]) ).
tcf(c_8693,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xr))
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5000,c_87]) ).
tcf(c_8695,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_6319,c_87]) ).
tcf(c_8697,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_3542,c_87]) ).
tcf(c_8701,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_2552,c_87]) ).
tcf(c_8702,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_2553,c_87]) ).
tcf(c_8703,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_2554,c_87]) ).
tcf(c_8704,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xm)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2952,c_87]) ).
tcf(c_8706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xn)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2991,c_87]) ).
tcf(c_8708,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3264,c_87]) ).
tcf(c_8710,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_3546,c_87]) ).
tcf(c_8711,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_3545,c_87]) ).
tcf(c_8712,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_3544,c_87]) ).
tcf(c_8713,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_3543,c_87]) ).
tcf(c_8714,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_4263,c_87]) ).
tcf(c_8716,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_4946,c_87]) ).
tcf(c_8718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),sz00)
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5000,c_87]) ).
tcf(c_8720,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_87,c_99]) ).
tcf(c_8721,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtmndt0(sdtasdt0(X2,X1),sdtasdt0(X0,X1))) = sdtasdt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_87,c_104]) ).
tcf(c_8722,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_87,c_100]) ).
tcf(c_8723,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_87,c_66]) ).
tcf(c_8724,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),sz00)
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8718,c_4939,c_93]) ).
tcf(c_8730,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sz00)
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8716,c_4938,c_93]) ).
tcf(c_8736,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sz00)
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8714,c_3837,c_93]) ).
tcf(c_8742,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8703,c_93,c_51]) ).
tcf(c_8748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8702,c_93,c_50]) ).
tcf(c_8754,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8701,c_54,c_93,c_49]) ).
tcf(c_8759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),xm)
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8695,c_3837,c_49]) ).
tcf(c_8765,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xr))
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8693,c_4939,c_93]) ).
tcf(c_8771,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8691,c_4938,c_93]) ).
tcf(c_8777,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8689,c_3837,c_93]) ).
tcf(c_8783,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8678,c_93,c_51]) ).
tcf(c_8789,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8677,c_93,c_50]) ).
tcf(c_8795,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8676,c_54,c_93,c_49]) ).
tcf(c_8800,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8670,c_3837,c_49]) ).
tcf(c_8806,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_8713,c_51]) ).
tcf(c_8813,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_8712,c_50]) ).
tcf(c_8820,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_8711,c_49]) ).
tcf(c_8827,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_8710,c_49]) ).
tcf(c_8834,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xn)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8706,c_3441,c_93,c_2971]) ).
tcf(c_8839,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xm)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8704,c_3442,c_93,c_2931]) ).
tcf(c_8844,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_8697,c_93]) ).
tcf(c_8851,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_8688,c_51]) ).
tcf(c_8858,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_8687,c_50]) ).
tcf(c_8865,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_8686,c_49]) ).
tcf(c_8872,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_8685,c_49]) ).
tcf(c_8879,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8681,c_3441,c_93,c_2971]) ).
tcf(c_8884,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8679,c_3442,c_93,c_2931]) ).
tcf(c_8889,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_8672,c_93]) ).
tcf(c_8896,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8708,c_93,c_3010]) ).
tcf(c_8902,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8683,c_93,c_3010]) ).
tcf(c_9234,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7845,c_99]) ).
tcf(c_9235,plain,
( ( sdtpldt0(xp,sdtmndt0(sdtpldt0(xl,xp),xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7845,c_104]) ).
tcf(c_9236,plain,
( ( sdtpldt0(xl,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),xp) ),
inference(superposition,[status(thm)],[c_7845,c_100]) ).
tcf(c_9237,plain,
( ( sdtpldt0(xp,sK0(xp,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7845,c_66]) ).
tcf(c_9238,plain,
sdtpldt0(xp,sK0(xp,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_9237,c_3837,c_7844]) ).
tcf(c_9239,plain,
( ( sdtpldt0(xl,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xl,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9236,c_3837,c_7844]) ).
tcf(c_9242,plain,
sdtpldt0(xp,sdtmndt0(sdtpldt0(xl,xp),xp)) = sdtpldt0(xl,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_9235,c_3837,c_7844]) ).
tcf(c_9243,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9234,c_3837,c_7844]) ).
tcf(c_9248,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_7996,c_79]) ).
tcf(c_9249,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_7996,c_96]) ).
tcf(c_9250,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_7996,c_82]) ).
tcf(c_9251,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9248,c_93,c_3010]) ).
tcf(c_9255,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9250,c_93,c_3010]) ).
tcf(c_9256,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9249,c_93,c_3010]) ).
tcf(c_9288,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_4345,c_87]) ).
tcf(c_9289,plain,
( sdtlseqdt0(xp,sz00)
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_4345,c_83]) ).
tcf(c_9290,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_4345,c_85]) ).
tcf(c_9291,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_4345,c_90]) ).
tcf(c_9294,plain,
( ( sz00 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_4345,c_88]) ).
tcf(c_9297,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_4345,c_87]) ).
tcf(c_9298,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_4345,c_89]) ).
tcf(c_9299,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_4345,c_85]) ).
tcf(c_9300,plain,
( sdtlseqdt0(xp,sz00)
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9289,c_3837]) ).
tcf(c_9304,plain,
( ( sz00 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9294,c_3837]) ).
tcf(c_9308,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9298,c_3837]) ).
tcf(c_9314,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_9291,c_3837]) ).
tcf(c_9320,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sK1(xp,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9299,c_3837]) ).
tcf(c_9327,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_9297,c_3837]) ).
tcf(c_9334,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sz00 = xp )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(X0,sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9290,c_3837]) ).
tcf(c_9341,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_9288,c_3837]) ).
tcf(c_9442,plain,
( ( sK0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_4382,c_68]) ).
tcf(c_9446,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(sz00,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_4382,c_63]) ).
tcf(c_9447,plain,
! [X0: $i] :
( ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_4382,c_69]) ).
tcf(c_9448,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ sdtlseqdt0(sK0(sz00,xp),X0) ),
inference(superposition,[status(thm)],[c_4382,c_61]) ).
tcf(c_9449,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ doDivides0(X0,sK0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_4382,c_78]) ).
tcf(c_9450,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( sdtpldt0(X0,sK0(sz00,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_4382,c_70]) ).
tcf(c_9451,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ sdtlseqdt0(X0,sK0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_4382,c_61]) ).
tcf(c_9452,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xp)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_4382,c_63]) ).
tcf(c_9453,plain,
( ( sK0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9442,c_93]) ).
tcf(c_9457,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( sdtpldt0(X0,sK0(sz00,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9450,c_93]) ).
tcf(c_9462,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ doDivides0(X0,sK0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9449,c_93]) ).
tcf(c_9468,plain,
! [X0: $i] :
( ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9447,c_93]) ).
tcf(c_9473,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xp)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9452,c_93]) ).
tcf(c_9479,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(sz00,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9446,c_93]) ).
tcf(c_9485,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ sdtlseqdt0(X0,sK0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9451,c_93]) ).
tcf(c_9491,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ sdtlseqdt0(sK0(sz00,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9448,c_93]) ).
tcf(c_9549,plain,
( ( sdtmndt0(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_4386,c_68]) ).
tcf(c_9553,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sdtmndt0(xp,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00)) ),
inference(superposition,[status(thm)],[c_4386,c_63]) ).
tcf(c_9554,plain,
! [X0: $i] :
( ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_4386,c_69]) ).
tcf(c_9555,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ sdtlseqdt0(sdtmndt0(xp,sz00),X0) ),
inference(superposition,[status(thm)],[c_4386,c_61]) ).
tcf(c_9556,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ doDivides0(X0,sdtmndt0(xp,sz00)) ),
inference(superposition,[status(thm)],[c_4386,c_78]) ).
tcf(c_9557,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ( sdtpldt0(X0,sdtmndt0(xp,sz00)) != xp ) ),
inference(superposition,[status(thm)],[c_4386,c_70]) ).
tcf(c_9558,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xp,sz00)) ),
inference(superposition,[status(thm)],[c_4386,c_61]) ).
tcf(c_9559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xp,sz00)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00)) ),
inference(superposition,[status(thm)],[c_4386,c_63]) ).
tcf(c_9560,plain,
( ( sdtmndt0(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9549,c_93]) ).
tcf(c_9564,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ( sdtpldt0(X0,sdtmndt0(xp,sz00)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9557,c_93]) ).
tcf(c_9569,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ doDivides0(X0,sdtmndt0(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9556,c_93]) ).
tcf(c_9575,plain,
! [X0: $i] :
( ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9554,c_93]) ).
tcf(c_9580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xp,sz00)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9559,c_93]) ).
tcf(c_9586,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sdtmndt0(xp,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9553,c_93]) ).
tcf(c_9592,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9558,c_93]) ).
tcf(c_9598,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ sdtlseqdt0(sdtmndt0(xp,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9555,c_93]) ).
tcf(c_9610,plain,
( ( sK0(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_4407,c_68]) ).
tcf(c_9614,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_4407,c_63]) ).
tcf(c_9615,plain,
! [X0: $i] :
( ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_4407,c_69]) ).
tcf(c_9616,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_4407,c_61]) ).
tcf(c_9618,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sdtpldt0(X0,sK0(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_4407,c_70]) ).
tcf(c_9619,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_4407,c_61]) ).
tcf(c_9620,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_4407,c_63]) ).
tcf(c_9621,plain,
( ( sK0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9610,c_3837]) ).
tcf(c_9625,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sdtpldt0(X0,sK0(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9618,c_3837]) ).
tcf(c_9630,plain,
! [X0: $i] :
( ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9615,c_3837]) ).
tcf(c_9635,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_9620,c_3837]) ).
tcf(c_9641,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_9614,c_3837]) ).
tcf(c_9647,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_9619,c_3837]) ).
tcf(c_9653,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_9616,c_3837]) ).
tcf(c_9666,plain,
( ( sdtmndt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_4408,c_68]) ).
tcf(c_9670,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sdtmndt0(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_4408,c_63]) ).
tcf(c_9671,plain,
! [X0: $i] :
( ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_4408,c_69]) ).
tcf(c_9672,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ sdtlseqdt0(sdtmndt0(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_4408,c_61]) ).
tcf(c_9674,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ( sdtpldt0(X0,sdtmndt0(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_4408,c_70]) ).
tcf(c_9675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtmndt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_4408,c_61]) ).
tcf(c_9676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_4408,c_63]) ).
tcf(c_9677,plain,
( ( sdtmndt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9666,c_3837]) ).
tcf(c_9681,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ( sdtpldt0(X0,sdtmndt0(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9674,c_3837]) ).
tcf(c_9686,plain,
! [X0: $i] :
( ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9671,c_3837]) ).
tcf(c_9691,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9676,c_3837]) ).
tcf(c_9697,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sdtmndt0(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9670,c_3837]) ).
tcf(c_9703,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtmndt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9675,c_3837]) ).
tcf(c_9709,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ sdtlseqdt0(sdtmndt0(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9672,c_3837]) ).
tcf(c_9722,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_4944,c_68]) ).
tcf(c_9723,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_4944,c_67]) ).
tcf(c_9724,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_4944,c_143]) ).
tcf(c_9725,plain,
( aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_4944,c_77]) ).
tcf(c_9726,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_4944,c_63]) ).
tcf(c_9727,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_4944,c_69]) ).
tcf(c_9728,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_4944,c_61]) ).
tcf(c_9729,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_4944,c_78]) ).
tcf(c_9730,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_4944,c_70]) ).
tcf(c_9731,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_4944,c_61]) ).
tcf(c_9732,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_4944,c_63]) ).
tcf(c_9733,plain,
aNaturalNumber0(sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_9725,c_4938,c_49]) ).
tcf(c_9734,plain,
sdtlseqdt0(xq,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_9724,c_4938,c_49]) ).
tcf(c_9738,plain,
sdtpldt0(xl,xq) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9722,c_54,c_4938,c_49]) ).
tcf(c_9739,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9730,c_4938,c_49]) ).
tcf(c_9743,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9729,c_4938,c_49]) ).
tcf(c_9748,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9727,c_4938,c_49]) ).
tcf(c_9752,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9732,c_4938,c_49]) ).
tcf(c_9757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xl,xq))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9731,c_4938,c_49]) ).
tcf(c_9762,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xq,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9728,c_4938,c_49]) ).
tcf(c_9767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,xl))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9726,c_4938,c_49]) ).
tcf(c_9817,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_9733,c_72]) ).
tcf(c_9818,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_9733,c_71]) ).
tcf(c_9819,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_9733,c_105]) ).
tcf(c_9820,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_9733,c_75]) ).
tcf(c_9821,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9733,c_153]) ).
tcf(c_9822,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9733,c_146]) ).
tcf(c_9823,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xq),X0) = sdtasdt0(X0,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9733,c_106]) ).
tcf(c_9824,plain,
sdtpldt0(sdtpldt0(xl,xq),xl) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_9733,c_2809]) ).
tcf(c_9825,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xq),X0) = sdtpldt0(X0,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9733,c_76]) ).
tcf(c_9826,plain,
sdtasdt0(sz00,sdtpldt0(xl,xq)) = sz00,
inference(superposition,[status(thm)],[c_9733,c_92]) ).
tcf(c_9827,plain,
sdtasdt0(sdtpldt0(xl,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_9733,c_91]) ).
tcf(c_9828,plain,
sdtpldt0(sz00,sdtpldt0(xl,xq)) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_9733,c_74]) ).
tcf(c_9829,plain,
sdtpldt0(sdtpldt0(xl,xq),sz00) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_9733,c_73]) ).
tcf(c_9859,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9734,c_99]) ).
tcf(c_9860,plain,
( ( sdtpldt0(xq,sdtmndt0(sdtpldt0(xl,xq),xq)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9734,c_104]) ).
tcf(c_9861,plain,
( ( sdtpldt0(xl,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),xq) ),
inference(superposition,[status(thm)],[c_9734,c_100]) ).
tcf(c_9862,plain,
( ( sdtpldt0(xq,sK0(xq,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9734,c_66]) ).
tcf(c_9863,plain,
sdtpldt0(xq,sK0(xq,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_9862,c_4938,c_9733]) ).
tcf(c_9864,plain,
( ( sdtpldt0(xl,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xl,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9861,c_4938,c_9733]) ).
tcf(c_9867,plain,
sdtpldt0(xq,sdtmndt0(sdtpldt0(xl,xq),xq)) = sdtpldt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_9860,c_4938,c_9733]) ).
tcf(c_9868,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9859,c_4938,c_9733]) ).
tcf(c_9877,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3266,c_143]) ).
tcf(c_9879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3266,c_63]) ).
tcf(c_9880,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_3266,c_69]) ).
tcf(c_9881,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_3266,c_61]) ).
tcf(c_9883,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_3266,c_70]) ).
tcf(c_9884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3266,c_61]) ).
tcf(c_9885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3266,c_63]) ).
tcf(c_9886,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_9877,c_93,c_3010]) ).
tcf(c_9887,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9883,c_93,c_3010]) ).
tcf(c_9891,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9880,c_93,c_3010]) ).
tcf(c_9895,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9885,c_93,c_3010]) ).
tcf(c_9900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9879,c_93,c_3010]) ).
tcf(c_9905,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9884,c_93,c_3010]) ).
tcf(c_9910,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9881,c_93,c_3010]) ).
tcf(c_9991,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_9886,c_99]) ).
tcf(c_9992,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) = sdtpldt0(xl,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_9886,c_104]) ).
tcf(c_9993,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_9886,c_100]) ).
tcf(c_9994,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xl,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_9886,c_66]) ).
tcf(c_9995,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9991,c_93,c_3010]) ).
tcf(c_9999,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_9994,c_93,c_3010]) ).
tcf(c_10000,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9993,c_93,c_3010]) ).
tcf(c_10003,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_9992,c_93,c_3010]) ).
tcf(c_10004,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_5113,c_87]) ).
tcf(c_10005,plain,
( sdtlseqdt0(xq,sz00)
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(superposition,[status(thm)],[c_5113,c_83]) ).
tcf(c_10006,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_5113,c_85]) ).
tcf(c_10007,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_5113,c_90]) ).
tcf(c_10010,plain,
( ( sz00 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(superposition,[status(thm)],[c_5113,c_88]) ).
tcf(c_10013,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_5113,c_87]) ).
tcf(c_10014,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_5113,c_89]) ).
tcf(c_10015,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_5113,c_85]) ).
tcf(c_10016,plain,
( sdtlseqdt0(xq,sz00)
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10005,c_4938]) ).
tcf(c_10020,plain,
( ( sz00 = xq )
| ( sK1(xq,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10010,c_4938]) ).
tcf(c_10024,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_10014,c_4938]) ).
tcf(c_10030,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_10007,c_4938]) ).
tcf(c_10036,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_10015,c_4938]) ).
tcf(c_10043,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_10013,c_4938]) ).
tcf(c_10050,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_10006,c_4938]) ).
tcf(c_10057,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_10004,c_4938]) ).
tcf(c_10069,plain,
( ( sK0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,xq))
| ( sz00 != xq ) ),
inference(superposition,[status(thm)],[c_5203,c_68]) ).
tcf(c_10073,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK0(sz00,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_5203,c_63]) ).
tcf(c_10074,plain,
! [X0: $i] :
( ( sK0(sz00,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xq))
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(superposition,[status(thm)],[c_5203,c_69]) ).
tcf(c_10075,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( sK0(sz00,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xq))
| ~ sdtlseqdt0(sK0(sz00,xq),X0) ),
inference(superposition,[status(thm)],[c_5203,c_61]) ).
tcf(c_10076,plain,
! [X0: $i] :
( doDivides0(X0,xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xq))
| ~ doDivides0(X0,sK0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_5203,c_78]) ).
tcf(c_10077,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xq))
| ( sdtpldt0(X0,sK0(sz00,xq)) != xq ) ),
inference(superposition,[status(thm)],[c_5203,c_70]) ).
tcf(c_10078,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( sK0(sz00,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xq))
| ~ sdtlseqdt0(X0,sK0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_5203,c_61]) ).
tcf(c_10079,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xq)),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_5203,c_63]) ).
tcf(c_10080,plain,
( ( sK0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,xq))
| ( sz00 != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10069,c_93]) ).
tcf(c_10084,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xq))
| ( sdtpldt0(X0,sK0(sz00,xq)) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10077,c_93]) ).
tcf(c_10089,plain,
! [X0: $i] :
( doDivides0(X0,xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xq))
| ~ doDivides0(X0,sK0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10076,c_93]) ).
tcf(c_10095,plain,
! [X0: $i] :
( ( sK0(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xq))
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10074,c_93]) ).
tcf(c_10100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xq)),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10079,c_93]) ).
tcf(c_10106,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK0(sz00,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10073,c_93]) ).
tcf(c_10112,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( sK0(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xq))
| ~ sdtlseqdt0(X0,sK0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10078,c_93]) ).
tcf(c_10118,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( sK0(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xq))
| ~ sdtlseqdt0(sK0(sz00,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10075,c_93]) ).
tcf(c_10130,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_4998,c_68]) ).
tcf(c_10131,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_4998,c_67]) ).
tcf(c_10132,plain,
( sdtlseqdt0(xr,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_4998,c_143]) ).
tcf(c_10133,plain,
( aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_4998,c_77]) ).
tcf(c_10134,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(X0,xl))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_4998,c_63]) ).
tcf(c_10135,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_4998,c_69]) ).
tcf(c_10136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(xr,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_4998,c_61]) ).
tcf(c_10137,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_4998,c_78]) ).
tcf(c_10138,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_4998,c_70]) ).
tcf(c_10139,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xl,xr))
| ( X0 = xl )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_4998,c_61]) ).
tcf(c_10140,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_4998,c_63]) ).
tcf(c_10141,plain,
aNaturalNumber0(sdtpldt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_10133,c_4939,c_49]) ).
tcf(c_10142,plain,
sdtlseqdt0(xr,sdtpldt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_10132,c_4939,c_49]) ).
tcf(c_10146,plain,
sdtpldt0(xl,xr) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_10130,c_54,c_4939,c_49]) ).
tcf(c_10147,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10138,c_4939,c_49]) ).
tcf(c_10151,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10137,c_4939,c_49]) ).
tcf(c_10156,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10135,c_4939,c_49]) ).
tcf(c_10160,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10140,c_4939,c_49]) ).
tcf(c_10165,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xl,xr))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10139,c_4939,c_49]) ).
tcf(c_10170,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(xr,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10136,c_4939,c_49]) ).
tcf(c_10175,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(X0,xl))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10134,c_4939,c_49]) ).
tcf(c_10185,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,xr),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,xr)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10141,c_72]) ).
tcf(c_10186,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,xr))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10141,c_71]) ).
tcf(c_10187,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,xr)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10141,c_105]) ).
tcf(c_10188,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,xr)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10141,c_75]) ).
tcf(c_10189,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xr),X0),sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10141,c_153]) ).
tcf(c_10190,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,xr),X0),sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10141,c_146]) ).
tcf(c_10191,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xr),X0) = sdtasdt0(X0,sdtpldt0(xl,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10141,c_106]) ).
tcf(c_10192,plain,
sdtpldt0(sdtpldt0(xl,xr),xl) = sdtpldt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_10141,c_2809]) ).
tcf(c_10193,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xr),X0) = sdtpldt0(X0,sdtpldt0(xl,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10141,c_76]) ).
tcf(c_10194,plain,
sdtasdt0(sz00,sdtpldt0(xl,xr)) = sz00,
inference(superposition,[status(thm)],[c_10141,c_92]) ).
tcf(c_10195,plain,
sdtasdt0(sdtpldt0(xl,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_10141,c_91]) ).
tcf(c_10196,plain,
sdtpldt0(sz00,sdtpldt0(xl,xr)) = sdtpldt0(xl,xr),
inference(superposition,[status(thm)],[c_10141,c_74]) ).
tcf(c_10197,plain,
sdtpldt0(sdtpldt0(xl,xr),sz00) = sdtpldt0(xl,xr),
inference(superposition,[status(thm)],[c_10141,c_73]) ).
tcf(c_10282,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10142,c_99]) ).
tcf(c_10283,plain,
( ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xl,xr),xr)) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10142,c_104]) ).
tcf(c_10284,plain,
( ( sdtpldt0(xl,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(sdtpldt0(xl,xr),xr) ),
inference(superposition,[status(thm)],[c_10142,c_100]) ).
tcf(c_10285,plain,
( ( sdtpldt0(xr,sK0(xr,sdtpldt0(xl,xr))) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10142,c_66]) ).
tcf(c_10286,plain,
sdtpldt0(xr,sK0(xr,sdtpldt0(xl,xr))) = sdtpldt0(xl,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_10285,c_4939,c_10141]) ).
tcf(c_10287,plain,
( ( sdtpldt0(xl,xr) = xr )
| ~ sdtlseqdt0(sdtpldt0(xl,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10284,c_4939,c_10141]) ).
tcf(c_10290,plain,
sdtpldt0(xr,sdtmndt0(sdtpldt0(xl,xr),xr)) = sdtpldt0(xl,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_10283,c_4939,c_10141]) ).
tcf(c_10291,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10282,c_4939,c_10141]) ).
tcf(c_10304,plain,
( ( sdtmndt0(xq,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xq,sz00))
| ( sz00 != xq ) ),
inference(superposition,[status(thm)],[c_5207,c_68]) ).
tcf(c_10308,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sdtmndt0(xq,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xq,sz00)) ),
inference(superposition,[status(thm)],[c_5207,c_63]) ).
tcf(c_10309,plain,
! [X0: $i] :
( ( sdtmndt0(xq,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xq,sz00))
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(superposition,[status(thm)],[c_5207,c_69]) ).
tcf(c_10310,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( sdtmndt0(xq,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xq,sz00))
| ~ sdtlseqdt0(sdtmndt0(xq,sz00),X0) ),
inference(superposition,[status(thm)],[c_5207,c_61]) ).
tcf(c_10311,plain,
! [X0: $i] :
( doDivides0(X0,xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xq,sz00))
| ~ doDivides0(X0,sdtmndt0(xq,sz00)) ),
inference(superposition,[status(thm)],[c_5207,c_78]) ).
tcf(c_10312,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xq,sz00))
| ( sdtpldt0(X0,sdtmndt0(xq,sz00)) != xq ) ),
inference(superposition,[status(thm)],[c_5207,c_70]) ).
tcf(c_10313,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( sdtmndt0(xq,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xq,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xq,sz00)) ),
inference(superposition,[status(thm)],[c_5207,c_61]) ).
tcf(c_10314,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xq,sz00)),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xq,sz00)) ),
inference(superposition,[status(thm)],[c_5207,c_63]) ).
tcf(c_10315,plain,
( ( sdtmndt0(xq,sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xq,sz00))
| ( sz00 != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10304,c_93]) ).
tcf(c_10319,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xq,sz00))
| ( sdtpldt0(X0,sdtmndt0(xq,sz00)) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10312,c_93]) ).
tcf(c_10324,plain,
! [X0: $i] :
( doDivides0(X0,xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xq,sz00))
| ~ doDivides0(X0,sdtmndt0(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10311,c_93]) ).
tcf(c_10330,plain,
! [X0: $i] :
( ( sdtmndt0(xq,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xq,sz00))
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10309,c_93]) ).
tcf(c_10335,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xq,sz00)),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10314,c_93]) ).
tcf(c_10341,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sdtmndt0(xq,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10308,c_93]) ).
tcf(c_10347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( sdtmndt0(xq,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xq,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10313,c_93]) ).
tcf(c_10353,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( sdtmndt0(xq,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xq,sz00))
| ~ sdtlseqdt0(sdtmndt0(xq,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10310,c_93]) ).
tcf(c_10365,plain,
( ( sK0(xq,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0(xq,xq))
| ( sz00 != xq ) ),
inference(superposition,[status(thm)],[c_5233,c_68]) ).
tcf(c_10369,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_5233,c_63]) ).
tcf(c_10370,plain,
! [X0: $i] :
( ( sK0(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ( sdtpldt0(xq,X0) != xq ) ),
inference(superposition,[status(thm)],[c_5233,c_69]) ).
tcf(c_10371,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_5233,c_61]) ).
tcf(c_10373,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ( sdtpldt0(X0,sK0(xq,xq)) != xq ) ),
inference(superposition,[status(thm)],[c_5233,c_70]) ).
tcf(c_10374,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_5233,c_61]) ).
tcf(c_10375,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_5233,c_63]) ).
tcf(c_10376,plain,
( ( sK0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK0(xq,xq))
| ( sz00 != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10365,c_4938]) ).
tcf(c_10380,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ( sdtpldt0(X0,sK0(xq,xq)) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10373,c_4938]) ).
tcf(c_10385,plain,
! [X0: $i] :
( ( sK0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,xq))
| ( sdtpldt0(xq,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10370,c_4938]) ).
tcf(c_10390,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_10375,c_4938]) ).
tcf(c_10396,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_10369,c_4938]) ).
tcf(c_10402,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_10374,c_4938]) ).
tcf(c_10408,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_10371,c_4938]) ).
tcf(c_10440,plain,
( ( sdtmndt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtmndt0(xq,xq))
| ( sz00 != xq ) ),
inference(superposition,[status(thm)],[c_5234,c_68]) ).
tcf(c_10444,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sdtmndt0(xq,xq)))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sdtmndt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_5234,c_63]) ).
tcf(c_10445,plain,
! [X0: $i] :
( ( sdtmndt0(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xq,xq))
| ( sdtpldt0(xq,X0) != xq ) ),
inference(superposition,[status(thm)],[c_5234,c_69]) ).
tcf(c_10446,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( sdtmndt0(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xq,xq))
| ~ sdtlseqdt0(sdtmndt0(xq,xq),X0) ),
inference(superposition,[status(thm)],[c_5234,c_61]) ).
tcf(c_10448,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xq,xq))
| ( sdtpldt0(X0,sdtmndt0(xq,xq)) != xq ) ),
inference(superposition,[status(thm)],[c_5234,c_70]) ).
tcf(c_10449,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( sdtmndt0(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xq,xq))
| ~ sdtlseqdt0(X0,sdtmndt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_5234,c_61]) ).
tcf(c_10450,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xq,xq)),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtmndt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_5234,c_63]) ).
tcf(c_10451,plain,
( ( sdtmndt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xq,xq))
| ( sz00 != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10440,c_4938]) ).
tcf(c_10455,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xq,xq))
| ( sdtpldt0(X0,sdtmndt0(xq,xq)) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10448,c_4938]) ).
tcf(c_10460,plain,
! [X0: $i] :
( ( sdtmndt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xq,xq))
| ( sdtpldt0(xq,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10445,c_4938]) ).
tcf(c_10465,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xq,xq)),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtmndt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10450,c_4938]) ).
tcf(c_10471,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sdtmndt0(xq,xq)))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sdtmndt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10444,c_4938]) ).
tcf(c_10477,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( sdtmndt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xq,xq))
| ~ sdtlseqdt0(X0,sdtmndt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10449,c_4938]) ).
tcf(c_10483,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( sdtmndt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xq,xq))
| ~ sdtlseqdt0(sdtmndt0(xq,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10446,c_4938]) ).
tcf(c_10516,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5245,c_72]) ).
tcf(c_10517,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5245,c_71]) ).
tcf(c_10518,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5245,c_105]) ).
tcf(c_10519,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5245,c_75]) ).
tcf(c_10520,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5245,c_153]) ).
tcf(c_10521,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5245,c_146]) ).
tcf(c_10522,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5245,c_106]) ).
tcf(c_10523,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_5245,c_2809]) ).
tcf(c_10524,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5245,c_76]) ).
tcf(c_10525,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_5245,c_92]) ).
tcf(c_10526,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_5245,c_91]) ).
tcf(c_10527,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_5245,c_74]) ).
tcf(c_10528,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_5245,c_73]) ).
tcf(c_10632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,sz00)),sz00)
| ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6097,c_87]) ).
tcf(c_10633,plain,
( sdtlseqdt0(xr,sz00)
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6097,c_83]) ).
tcf(c_10634,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ sdtlseqdt0(X0,sK1(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6097,c_85]) ).
tcf(c_10635,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ( sdtasdt0(X0,sK1(xr,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6097,c_90]) ).
tcf(c_10638,plain,
( ( sz00 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6097,c_88]) ).
tcf(c_10641,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xr,sz00)))
| ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6097,c_87]) ).
tcf(c_10642,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6097,c_89]) ).
tcf(c_10643,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ sdtlseqdt0(sK1(xr,sz00),X0) ),
inference(superposition,[status(thm)],[c_6097,c_85]) ).
tcf(c_10644,plain,
( sdtlseqdt0(xr,sz00)
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10633,c_4939]) ).
tcf(c_10648,plain,
( ( sz00 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10638,c_4939]) ).
tcf(c_10652,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10642,c_4939]) ).
tcf(c_10658,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ( sdtasdt0(X0,sK1(xr,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10635,c_4939]) ).
tcf(c_10664,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ sdtlseqdt0(sK1(xr,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10643,c_4939]) ).
tcf(c_10671,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xr,sz00)))
| ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10641,c_4939]) ).
tcf(c_10678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ sdtlseqdt0(X0,sK1(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10634,c_4939]) ).
tcf(c_10685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,sz00)),sz00)
| ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10632,c_4939]) ).
tcf(c_10758,plain,
( ( sK0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_6156,c_68]) ).
tcf(c_10762,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK0(sz00,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6156,c_63]) ).
tcf(c_10763,plain,
! [X0: $i] :
( ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(superposition,[status(thm)],[c_6156,c_69]) ).
tcf(c_10764,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ sdtlseqdt0(sK0(sz00,xr),X0) ),
inference(superposition,[status(thm)],[c_6156,c_61]) ).
tcf(c_10765,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ doDivides0(X0,sK0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6156,c_78]) ).
tcf(c_10766,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sdtpldt0(X0,sK0(sz00,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_6156,c_70]) ).
tcf(c_10767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ sdtlseqdt0(X0,sK0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6156,c_61]) ).
tcf(c_10768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xr)),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6156,c_63]) ).
tcf(c_10769,plain,
( ( sK0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10758,c_93]) ).
tcf(c_10773,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sdtpldt0(X0,sK0(sz00,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10766,c_93]) ).
tcf(c_10778,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ doDivides0(X0,sK0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10765,c_93]) ).
tcf(c_10784,plain,
! [X0: $i] :
( ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10763,c_93]) ).
tcf(c_10789,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xr)),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10768,c_93]) ).
tcf(c_10795,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK0(sz00,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10762,c_93]) ).
tcf(c_10801,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ sdtlseqdt0(X0,sK0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10767,c_93]) ).
tcf(c_10807,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ sdtlseqdt0(sK0(sz00,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10764,c_93]) ).
tcf(c_10827,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3267,c_143]) ).
tcf(c_10829,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_3267,c_63]) ).
tcf(c_10830,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_3267,c_69]) ).
tcf(c_10831,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3267,c_61]) ).
tcf(c_10833,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_3267,c_70]) ).
tcf(c_10834,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3267,c_61]) ).
tcf(c_10835,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3267,c_63]) ).
tcf(c_10836,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_10827,c_93,c_3010]) ).
tcf(c_10837,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10833,c_93,c_3010]) ).
tcf(c_10841,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10830,c_93,c_3010]) ).
tcf(c_10845,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10834,c_93,c_3010]) ).
tcf(c_10850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10831,c_93,c_3010]) ).
tcf(c_10855,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10835,c_93,c_3010]) ).
tcf(c_10860,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10829,c_93,c_3010]) ).
tcf(c_10867,plain,
( ( sdtmndt0(xr,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_6160,c_68]) ).
tcf(c_10871,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6160,c_63]) ).
tcf(c_10872,plain,
! [X0: $i] :
( ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(superposition,[status(thm)],[c_6160,c_69]) ).
tcf(c_10873,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ sdtlseqdt0(sdtmndt0(xr,sz00),X0) ),
inference(superposition,[status(thm)],[c_6160,c_61]) ).
tcf(c_10874,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ doDivides0(X0,sdtmndt0(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6160,c_78]) ).
tcf(c_10875,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sdtpldt0(X0,sdtmndt0(xr,sz00)) != xr ) ),
inference(superposition,[status(thm)],[c_6160,c_70]) ).
tcf(c_10876,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6160,c_61]) ).
tcf(c_10877,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,sz00)),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6160,c_63]) ).
tcf(c_10878,plain,
( ( sdtmndt0(xr,sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10867,c_93]) ).
tcf(c_10882,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sdtpldt0(X0,sdtmndt0(xr,sz00)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10875,c_93]) ).
tcf(c_10887,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ doDivides0(X0,sdtmndt0(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10874,c_93]) ).
tcf(c_10893,plain,
! [X0: $i] :
( ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10872,c_93]) ).
tcf(c_10898,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,sz00)),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10877,c_93]) ).
tcf(c_10904,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10871,c_93]) ).
tcf(c_10910,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10876,c_93]) ).
tcf(c_10916,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ sdtlseqdt0(sdtmndt0(xr,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10873,c_93]) ).
tcf(c_10928,plain,
( ( sK0(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_6207,c_68]) ).
tcf(c_10932,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK0(xr,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6207,c_63]) ).
tcf(c_10933,plain,
! [X0: $i] :
( ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sdtpldt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_6207,c_69]) ).
tcf(c_10934,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ sdtlseqdt0(sK0(xr,xr),X0) ),
inference(superposition,[status(thm)],[c_6207,c_61]) ).
tcf(c_10936,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sdtpldt0(X0,sK0(xr,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_6207,c_70]) ).
tcf(c_10937,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ sdtlseqdt0(X0,sK0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6207,c_61]) ).
tcf(c_10938,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,xr)),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6207,c_63]) ).
tcf(c_10939,plain,
( ( sK0(xr,xr) = sz00 )
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10928,c_4939]) ).
tcf(c_10943,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sdtpldt0(X0,sK0(xr,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10936,c_4939]) ).
tcf(c_10948,plain,
! [X0: $i] :
( ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sdtpldt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10933,c_4939]) ).
tcf(c_10953,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,xr)),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10938,c_4939]) ).
tcf(c_10959,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK0(xr,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10932,c_4939]) ).
tcf(c_10965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ sdtlseqdt0(X0,sK0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10937,c_4939]) ).
tcf(c_10971,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ sdtlseqdt0(sK0(xr,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10934,c_4939]) ).
tcf(c_10984,plain,
( ( sdtmndt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_6208,c_68]) ).
tcf(c_10988,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6208,c_63]) ).
tcf(c_10989,plain,
! [X0: $i] :
( ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sdtpldt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_6208,c_69]) ).
tcf(c_10990,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ sdtlseqdt0(sdtmndt0(xr,xr),X0) ),
inference(superposition,[status(thm)],[c_6208,c_61]) ).
tcf(c_10992,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sdtpldt0(X0,sdtmndt0(xr,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_6208,c_70]) ).
tcf(c_10993,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6208,c_61]) ).
tcf(c_10994,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xr)),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6208,c_63]) ).
tcf(c_10995,plain,
( ( sdtmndt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10984,c_4939]) ).
tcf(c_10999,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sdtpldt0(X0,sdtmndt0(xr,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10992,c_4939]) ).
tcf(c_11004,plain,
! [X0: $i] :
( ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sdtpldt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10989,c_4939]) ).
tcf(c_11009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xr)),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10994,c_4939]) ).
tcf(c_11015,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10988,c_4939]) ).
tcf(c_11021,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10993,c_4939]) ).
tcf(c_11027,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ sdtlseqdt0(sdtmndt0(xr,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10990,c_4939]) ).
tcf(c_11062,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_6317,c_87]) ).
tcf(c_11063,plain,
( sdtlseqdt0(xl,sz00)
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_6317,c_83]) ).
tcf(c_11064,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_6317,c_85]) ).
tcf(c_11065,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_6317,c_90]) ).
tcf(c_11068,plain,
( ( xl = sz00 )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_6317,c_88]) ).
tcf(c_11071,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_6317,c_87]) ).
tcf(c_11072,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_6317,c_89]) ).
tcf(c_11073,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_6317,c_85]) ).
tcf(c_11074,plain,
( ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11063,c_3951,c_49]) ).
tcf(c_11078,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11072,c_54,c_49]) ).
tcf(c_11083,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_11065,c_49]) ).
tcf(c_11089,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_11073,c_54,c_49]) ).
tcf(c_11095,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_11071,c_49]) ).
tcf(c_11102,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_11064,c_54,c_49]) ).
tcf(c_11108,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_11062,c_49]) ).
tcf(c_11139,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xp)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7900,c_87]) ).
tcf(c_11142,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtasdt0(X0,sdtpldt0(xl,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7900,c_90]) ).
tcf(c_11148,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xp)))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7900,c_87]) ).
tcf(c_11151,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11142,c_7849,c_93,c_7844]) ).
tcf(c_11155,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11148,c_7849,c_93,c_7844]) ).
tcf(c_11160,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xp)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11139,c_7849,c_93,c_7844]) ).
tcf(c_11167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7901,c_85]) ).
tcf(c_11172,plain,
( doDivides0(sdtpldt0(xl,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7901,c_140]) ).
tcf(c_11175,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtasdt0(sdtpldt0(xl,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7901,c_89]) ).
tcf(c_11176,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xp),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7901,c_85]) ).
tcf(c_11177,plain,
doDivides0(sdtpldt0(xl,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_11172,c_93,c_7844]) ).
tcf(c_11178,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11175,c_7849,c_93,c_7844]) ).
tcf(c_11182,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11176,c_7849,c_93,c_7844]) ).
tcf(c_11187,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11167,c_7849,c_93,c_7844]) ).
tcf(c_11221,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ doDivides0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_11177,c_79]) ).
tcf(c_11222,plain,
( ( sdtpldt0(xl,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,xp),sdtsldt0(sz00,sdtpldt0(xl,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_11177,c_96]) ).
tcf(c_11223,plain,
( ( sdtasdt0(sdtpldt0(xl,xp),sK1(sdtpldt0(xl,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_11177,c_82]) ).
tcf(c_11224,plain,
sdtasdt0(sdtpldt0(xl,xp),sK1(sdtpldt0(xl,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_11223,c_93,c_7844]) ).
tcf(c_11225,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11221,c_93,c_7844]) ).
tcf(c_11229,plain,
sdtasdt0(sdtpldt0(xl,xp),sdtsldt0(sz00,sdtpldt0(xl,xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_11222,c_7849,c_93,c_7844]) ).
tcf(c_11230,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xq)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9826,c_87]) ).
tcf(c_11233,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtasdt0(X0,sdtpldt0(xl,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9826,c_90]) ).
tcf(c_11239,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xq)))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9826,c_87]) ).
tcf(c_11242,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11233,c_9738,c_93,c_9733]) ).
tcf(c_11246,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11239,c_9738,c_93,c_9733]) ).
tcf(c_11251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xq)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11230,c_9738,c_93,c_9733]) ).
tcf(c_11258,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9827,c_85]) ).
tcf(c_11263,plain,
( doDivides0(sdtpldt0(xl,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9827,c_140]) ).
tcf(c_11266,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtasdt0(sdtpldt0(xl,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9827,c_89]) ).
tcf(c_11267,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xq),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9827,c_85]) ).
tcf(c_11268,plain,
doDivides0(sdtpldt0(xl,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_11263,c_93,c_9733]) ).
tcf(c_11269,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11266,c_9738,c_93,c_9733]) ).
tcf(c_11273,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11267,c_9738,c_93,c_9733]) ).
tcf(c_11278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11258,c_9738,c_93,c_9733]) ).
tcf(c_11364,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ doDivides0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_11268,c_79]) ).
tcf(c_11365,plain,
( ( sdtpldt0(xl,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,xq),sdtsldt0(sz00,sdtpldt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_11268,c_96]) ).
tcf(c_11366,plain,
( ( sdtasdt0(sdtpldt0(xl,xq),sK1(sdtpldt0(xl,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_11268,c_82]) ).
tcf(c_11367,plain,
sdtasdt0(sdtpldt0(xl,xq),sK1(sdtpldt0(xl,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_11366,c_93,c_9733]) ).
tcf(c_11368,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11364,c_93,c_9733]) ).
tcf(c_11372,plain,
sdtasdt0(sdtpldt0(xl,xq),sdtsldt0(sz00,sdtpldt0(xl,xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_11365,c_9738,c_93,c_9733]) ).
tcf(c_11373,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10194,c_87]) ).
tcf(c_11376,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtasdt0(X0,sdtpldt0(xl,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10194,c_90]) ).
tcf(c_11382,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10194,c_87]) ).
tcf(c_11385,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11376,c_10146,c_93,c_10141]) ).
tcf(c_11389,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11382,c_10146,c_93,c_10141]) ).
tcf(c_11394,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xr)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11373,c_10146,c_93,c_10141]) ).
tcf(c_11401,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10195,c_85]) ).
tcf(c_11406,plain,
( doDivides0(sdtpldt0(xl,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10195,c_140]) ).
tcf(c_11409,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtasdt0(sdtpldt0(xl,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10195,c_89]) ).
tcf(c_11410,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10195,c_85]) ).
tcf(c_11411,plain,
doDivides0(sdtpldt0(xl,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_11406,c_93,c_10141]) ).
tcf(c_11412,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11409,c_10146,c_93,c_10141]) ).
tcf(c_11416,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11410,c_10146,c_93,c_10141]) ).
tcf(c_11421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xr),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11401,c_10146,c_93,c_10141]) ).
tcf(c_11435,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ doDivides0(X0,sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_11411,c_79]) ).
tcf(c_11436,plain,
( ( sdtpldt0(xl,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,xr),sdtsldt0(sz00,sdtpldt0(xl,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_11411,c_96]) ).
tcf(c_11437,plain,
( ( sdtasdt0(sdtpldt0(xl,xr),sK1(sdtpldt0(xl,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_11411,c_82]) ).
tcf(c_11438,plain,
sdtasdt0(sdtpldt0(xl,xr),sK1(sdtpldt0(xl,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_11437,c_93,c_10141]) ).
tcf(c_11439,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11435,c_93,c_10141]) ).
tcf(c_11443,plain,
sdtasdt0(sdtpldt0(xl,xr),sdtsldt0(sz00,sdtpldt0(xl,xr))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_11436,c_10146,c_93,c_10141]) ).
tcf(c_11511,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3374,c_99]) ).
tcf(c_11512,plain,
( ( sdtpldt0(sdtpldt0(xl,xn),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) = sdtpldt0(xl,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3374,c_104]) ).
tcf(c_11513,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_3374,c_100]) ).
tcf(c_11514,plain,
( ( sdtpldt0(sdtpldt0(xl,xn),sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xl,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3374,c_66]) ).
tcf(c_11515,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11511,c_2971,c_3373]) ).
tcf(c_11519,plain,
sdtpldt0(sdtpldt0(xl,xn),sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_11514,c_2971,c_3373]) ).
tcf(c_11520,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11513,c_2971,c_3373]) ).
tcf(c_11523,plain,
sdtpldt0(sdtpldt0(xl,xn),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_11512,c_2971,c_3373]) ).
tcf(c_11529,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3589,c_87]) ).
tcf(c_11532,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3589,c_90]) ).
tcf(c_11538,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3589,c_87]) ).
tcf(c_11541,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11532,c_3443,c_93,c_3373]) ).
tcf(c_11545,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11538,c_3443,c_93,c_3373]) ).
tcf(c_11550,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11529,c_3443,c_93,c_3373]) ).
tcf(c_11592,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3590,c_85]) ).
tcf(c_11597,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3590,c_140]) ).
tcf(c_11600,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3590,c_89]) ).
tcf(c_11601,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3590,c_85]) ).
tcf(c_11602,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_11597,c_93,c_3373]) ).
tcf(c_11603,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11600,c_3443,c_93,c_3373]) ).
tcf(c_11607,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11601,c_3443,c_93,c_3373]) ).
tcf(c_11612,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11592,c_3443,c_93,c_3373]) ).
tcf(c_11617,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_11602,c_79]) ).
tcf(c_11618,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_11602,c_96]) ).
tcf(c_11619,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_11602,c_82]) ).
tcf(c_11620,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11617,c_93,c_3373]) ).
tcf(c_11624,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_11619,c_93,c_3373]) ).
tcf(c_11625,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_11618,c_3443,c_93,c_3373]) ).
tcf(c_11665,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_4557]) ).
tcf(c_11667,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11665,c_93]) ).
tcf(c_11677,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_11667,c_99]) ).
tcf(c_11678,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11667,c_104]) ).
tcf(c_11679,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_11667,c_100]) ).
tcf(c_11680,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11667,c_66]) ).
tcf(c_11682,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_11667,c_99]) ).
tcf(c_11683,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11667,c_104]) ).
tcf(c_11684,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_11667,c_100]) ).
tcf(c_11685,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11667,c_66]) ).
tcf(c_11686,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11685,c_3837]) ).
tcf(c_11690,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11684,c_3837]) ).
tcf(c_11695,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xp,X0)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11683,c_3837]) ).
tcf(c_11699,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11680,c_93]) ).
tcf(c_11703,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11679,c_93]) ).
tcf(c_11708,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11678,c_93]) ).
tcf(c_11712,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11682,c_3837]) ).
tcf(c_11718,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11677,c_93]) ).
tcf(c_11732,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_4561]) ).
tcf(c_11735,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11732,c_93]) ).
tcf(c_11745,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_11735,c_99]) ).
tcf(c_11746,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11735,c_104]) ).
tcf(c_11747,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_11735,c_100]) ).
tcf(c_11748,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11735,c_66]) ).
tcf(c_11751,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_11735,c_99]) ).
tcf(c_11752,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11735,c_104]) ).
tcf(c_11753,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_11735,c_100]) ).
tcf(c_11754,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11735,c_66]) ).
tcf(c_11755,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11754,c_51]) ).
tcf(c_11759,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11753,c_51]) ).
tcf(c_11764,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xn,X0)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11752,c_51]) ).
tcf(c_11768,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11748,c_93]) ).
tcf(c_11772,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11747,c_93]) ).
tcf(c_11777,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11746,c_93]) ).
tcf(c_11781,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11751,c_51]) ).
tcf(c_11787,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11745,c_93]) ).
tcf(c_11801,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_4565]) ).
tcf(c_11805,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11801,c_93]) ).
tcf(c_11850,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_11805,c_99]) ).
tcf(c_11851,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11805,c_104]) ).
tcf(c_11852,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_11805,c_100]) ).
tcf(c_11853,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11805,c_66]) ).
tcf(c_11857,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_11805,c_99]) ).
tcf(c_11858,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xm,X0)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11805,c_104]) ).
tcf(c_11859,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_11805,c_100]) ).
tcf(c_11860,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11805,c_66]) ).
tcf(c_11861,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11860,c_50]) ).
tcf(c_11865,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11859,c_50]) ).
tcf(c_11870,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xm,X0)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11858,c_50]) ).
tcf(c_11874,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11853,c_93]) ).
tcf(c_11878,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11852,c_93]) ).
tcf(c_11883,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11851,c_93]) ).
tcf(c_11887,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11857,c_50]) ).
tcf(c_11893,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11850,c_93]) ).
tcf(c_11907,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_4569]) ).
tcf(c_11912,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11907,c_93]) ).
tcf(c_11922,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xl)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_11912,c_99]) ).
tcf(c_11923,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11912,c_104]) ).
tcf(c_11924,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_11912,c_100]) ).
tcf(c_11925,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11912,c_66]) ).
tcf(c_11930,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_11912,c_99]) ).
tcf(c_11931,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xl,X0)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11912,c_104]) ).
tcf(c_11932,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_11912,c_100]) ).
tcf(c_11933,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xl)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11912,c_66]) ).
tcf(c_11934,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xl)) = xl )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11933,c_49]) ).
tcf(c_11938,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11932,c_49]) ).
tcf(c_11943,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xl,X0)) = xl )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11931,c_49]) ).
tcf(c_11947,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11925,c_93]) ).
tcf(c_11951,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11924,c_93]) ).
tcf(c_11956,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11923,c_93]) ).
tcf(c_11960,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11930,c_49]) ).
tcf(c_11966,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xl)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11922,c_93]) ).
tcf(c_12060,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_5208]) ).
tcf(c_12066,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12060,c_93]) ).
tcf(c_12076,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xq)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_12066,c_99]) ).
tcf(c_12077,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12066,c_104]) ).
tcf(c_12078,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_12066,c_100]) ).
tcf(c_12079,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12066,c_66]) ).
tcf(c_12085,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_12066,c_99]) ).
tcf(c_12086,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xq,X0)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12066,c_104]) ).
tcf(c_12087,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_12066,c_100]) ).
tcf(c_12088,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xq)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12066,c_66]) ).
tcf(c_12089,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xq)) = xq )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12088,c_4938]) ).
tcf(c_12093,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12087,c_4938]) ).
tcf(c_12098,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xq,X0)) = xq )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12086,c_4938]) ).
tcf(c_12102,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12079,c_93]) ).
tcf(c_12106,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12078,c_93]) ).
tcf(c_12111,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12077,c_93]) ).
tcf(c_12115,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12085,c_4938]) ).
tcf(c_12121,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xq)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12076,c_93]) ).
tcf(c_12141,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_6161]) ).
tcf(c_12148,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12141,c_93]) ).
tcf(c_12158,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xr)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_12148,c_99]) ).
tcf(c_12159,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12148,c_104]) ).
tcf(c_12160,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_12148,c_100]) ).
tcf(c_12161,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12148,c_66]) ).
tcf(c_12168,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_12148,c_99]) ).
tcf(c_12169,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12148,c_104]) ).
tcf(c_12170,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_12148,c_100]) ).
tcf(c_12171,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12148,c_66]) ).
tcf(c_12172,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xr)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12171,c_4939]) ).
tcf(c_12176,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12170,c_4939]) ).
tcf(c_12181,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12169,c_4939]) ).
tcf(c_12185,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12161,c_93]) ).
tcf(c_12189,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12160,c_93]) ).
tcf(c_12194,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12159,c_93]) ).
tcf(c_12198,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12168,c_4939]) ).
tcf(c_12204,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xr)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12158,c_93]) ).
tcf(c_12225,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7902,c_143]) ).
tcf(c_12227,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sdtpldt0(xl,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7902,c_63]) ).
tcf(c_12228,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_7902,c_69]) ).
tcf(c_12229,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(superposition,[status(thm)],[c_7902,c_61]) ).
tcf(c_12231,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(X0,sdtpldt0(xl,xp)) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_7902,c_70]) ).
tcf(c_12232,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7902,c_61]) ).
tcf(c_12233,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xp)),sdtpldt0(xl,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7902,c_63]) ).
tcf(c_12234,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_12225,c_93,c_7844]) ).
tcf(c_12235,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,xp)) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12231,c_93,c_7844]) ).
tcf(c_12239,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12228,c_93,c_7844]) ).
tcf(c_12243,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xp)),sdtpldt0(xl,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12233,c_93,c_7844]) ).
tcf(c_12248,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sdtpldt0(xl,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12227,c_93,c_7844]) ).
tcf(c_12253,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12232,c_93,c_7844]) ).
tcf(c_12258,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12229,c_93,c_7844]) ).
tcf(c_12308,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_12234,c_99]) ).
tcf(c_12309,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xl,xp),sz00)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_12234,c_104]) ).
tcf(c_12310,plain,
( ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(superposition,[status(thm)],[c_12234,c_100]) ).
tcf(c_12311,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_12234,c_66]) ).
tcf(c_12312,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_12311,c_93,c_7844]) ).
tcf(c_12313,plain,
~ sdtlseqdt0(sdtpldt0(xl,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_12310,c_7849,c_93,c_7844]) ).
tcf(c_12314,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xl,xp),sz00)) = sdtpldt0(xl,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_12309,c_93,c_7844]) ).
tcf(c_12315,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12308,c_93,c_7844]) ).
tcf(c_12325,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7903,c_143]) ).
tcf(c_12327,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(superposition,[status(thm)],[c_7903,c_63]) ).
tcf(c_12328,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_7903,c_69]) ).
tcf(c_12329,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7903,c_61]) ).
tcf(c_12331,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_7903,c_70]) ).
tcf(c_12332,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7903,c_61]) ).
tcf(c_12333,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7903,c_63]) ).
tcf(c_12334,plain,
sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_12325,c_93,c_7844]) ).
tcf(c_12335,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12331,c_93,c_7844]) ).
tcf(c_12339,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12328,c_93,c_7844]) ).
tcf(c_12343,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12332,c_93,c_7844]) ).
tcf(c_12348,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12329,c_93,c_7844]) ).
tcf(c_12353,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12333,c_93,c_7844]) ).
tcf(c_12358,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12327,c_93,c_7844]) ).
tcf(c_12364,plain,
( ( sdtpldt0(sdtpldt0(xl,xp),sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_12334,c_104]) ).
tcf(c_12366,plain,
( ( sdtpldt0(sdtpldt0(xl,xp),sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_12334,c_66]) ).
tcf(c_12367,plain,
sdtpldt0(sdtpldt0(xl,xp),sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) = sdtpldt0(xl,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_12366,c_7844]) ).
tcf(c_12368,plain,
sdtpldt0(sdtpldt0(xl,xp),sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) = sdtpldt0(xl,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_12364,c_7844]) ).
tcf(c_12373,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9828,c_143]) ).
tcf(c_12375,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sdtpldt0(xl,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9828,c_63]) ).
tcf(c_12376,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_9828,c_69]) ).
tcf(c_12377,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_9828,c_61]) ).
tcf(c_12379,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(X0,sdtpldt0(xl,xq)) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_9828,c_70]) ).
tcf(c_12380,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9828,c_61]) ).
tcf(c_12381,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xq)),sdtpldt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9828,c_63]) ).
tcf(c_12382,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_12373,c_93,c_9733]) ).
tcf(c_12383,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,xq)) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12379,c_93,c_9733]) ).
tcf(c_12387,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12376,c_93,c_9733]) ).
tcf(c_12391,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xq)),sdtpldt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12381,c_93,c_9733]) ).
tcf(c_12396,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sdtpldt0(xl,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12375,c_93,c_9733]) ).
tcf(c_12401,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12380,c_93,c_9733]) ).
tcf(c_12406,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12377,c_93,c_9733]) ).
tcf(c_12486,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_12382,c_99]) ).
tcf(c_12487,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xl,xq),sz00)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_12382,c_104]) ).
tcf(c_12488,plain,
( ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_12382,c_100]) ).
tcf(c_12489,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_12382,c_66]) ).
tcf(c_12490,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_12489,c_93,c_9733]) ).
tcf(c_12491,plain,
~ sdtlseqdt0(sdtpldt0(xl,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_12488,c_9738,c_93,c_9733]) ).
tcf(c_12492,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xl,xq),sz00)) = sdtpldt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_12487,c_93,c_9733]) ).
tcf(c_12493,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12486,c_93,c_9733]) ).
tcf(c_12503,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9829,c_143]) ).
tcf(c_12505,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_9829,c_63]) ).
tcf(c_12506,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_9829,c_69]) ).
tcf(c_12507,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9829,c_61]) ).
tcf(c_12509,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_9829,c_70]) ).
tcf(c_12510,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9829,c_61]) ).
tcf(c_12511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9829,c_63]) ).
tcf(c_12512,plain,
sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_12503,c_93,c_9733]) ).
tcf(c_12513,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12509,c_93,c_9733]) ).
tcf(c_12517,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12506,c_93,c_9733]) ).
tcf(c_12521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12510,c_93,c_9733]) ).
tcf(c_12526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12507,c_93,c_9733]) ).
tcf(c_12531,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12511,c_93,c_9733]) ).
tcf(c_12536,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12505,c_93,c_9733]) ).
tcf(c_12578,plain,
( ( sdtpldt0(sdtpldt0(xl,xq),sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_12512,c_104]) ).
tcf(c_12580,plain,
( ( sdtpldt0(sdtpldt0(xl,xq),sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_12512,c_66]) ).
tcf(c_12581,plain,
sdtpldt0(sdtpldt0(xl,xq),sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) = sdtpldt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_12580,c_9733]) ).
tcf(c_12582,plain,
sdtpldt0(sdtpldt0(xl,xq),sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) = sdtpldt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_12578,c_9733]) ).
tcf(c_12587,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10196,c_143]) ).
tcf(c_12589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(X0,sdtpldt0(xl,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10196,c_63]) ).
tcf(c_12590,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_10196,c_69]) ).
tcf(c_12591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0) ),
inference(superposition,[status(thm)],[c_10196,c_61]) ).
tcf(c_12593,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtpldt0(X0,sdtpldt0(xl,xr)) != sdtpldt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_10196,c_70]) ).
tcf(c_12594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xr))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10196,c_61]) ).
tcf(c_12595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xr)),sdtpldt0(xl,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10196,c_63]) ).
tcf(c_12596,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_12587,c_93,c_10141]) ).
tcf(c_12597,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,xr)) != sdtpldt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12593,c_93,c_10141]) ).
tcf(c_12601,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12590,c_93,c_10141]) ).
tcf(c_12605,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xr)),sdtpldt0(xl,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12595,c_93,c_10141]) ).
tcf(c_12610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(X0,sdtpldt0(xl,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12589,c_93,c_10141]) ).
tcf(c_12615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xr))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12594,c_93,c_10141]) ).
tcf(c_12620,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12591,c_93,c_10141]) ).
tcf(c_12628,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_12596,c_99]) ).
tcf(c_12629,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xl,xr),sz00)) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_12596,c_104]) ).
tcf(c_12630,plain,
( ( sdtpldt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(sdtpldt0(xl,xr),sz00) ),
inference(superposition,[status(thm)],[c_12596,c_100]) ).
tcf(c_12631,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xl,xr))) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_12596,c_66]) ).
tcf(c_12632,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xl,xr))) = sdtpldt0(xl,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_12631,c_93,c_10141]) ).
tcf(c_12633,plain,
~ sdtlseqdt0(sdtpldt0(xl,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_12630,c_10146,c_93,c_10141]) ).
tcf(c_12634,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xl,xr),sz00)) = sdtpldt0(xl,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_12629,c_93,c_10141]) ).
tcf(c_12635,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12628,c_93,c_10141]) ).
tcf(c_12645,plain,
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10197,c_143]) ).
tcf(c_12647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0) ),
inference(superposition,[status(thm)],[c_10197,c_63]) ).
tcf(c_12648,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtpldt0(sdtpldt0(xl,xr),X0) != sdtpldt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_10197,c_69]) ).
tcf(c_12649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(sdtpldt0(xl,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10197,c_61]) ).
tcf(c_12651,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_10197,c_70]) ).
tcf(c_12652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xr),X0),sdtpldt0(xl,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10197,c_61]) ).
tcf(c_12653,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xr))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10197,c_63]) ).
tcf(c_12654,plain,
sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_12645,c_93,c_10141]) ).
tcf(c_12655,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12651,c_93,c_10141]) ).
tcf(c_12659,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xr),X0) != sdtpldt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12648,c_93,c_10141]) ).
tcf(c_12663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xr),X0),sdtpldt0(xl,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12652,c_93,c_10141]) ).
tcf(c_12668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(sdtpldt0(xl,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12649,c_93,c_10141]) ).
tcf(c_12673,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xr))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12653,c_93,c_10141]) ).
tcf(c_12678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12647,c_93,c_10141]) ).
tcf(c_12684,plain,
( ( sdtpldt0(sdtpldt0(xl,xr),sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_12654,c_104]) ).
tcf(c_12686,plain,
( ( sdtpldt0(sdtpldt0(xl,xr),sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_12654,c_66]) ).
tcf(c_12687,plain,
sdtpldt0(sdtpldt0(xl,xr),sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) = sdtpldt0(xl,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_12686,c_10141]) ).
tcf(c_12688,plain,
sdtpldt0(sdtpldt0(xl,xr),sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) = sdtpldt0(xl,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_12684,c_10141]) ).
tcf(c_12762,plain,
sdtpldt0(xm,xn) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_51,c_2810]) ).
tcf(c_12763,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_2810]) ).
tcf(c_12764,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_65,c_2810]) ).
tcf(c_12765,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_2810]) ).
tcf(c_12766,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_81,c_2810]) ).
tcf(c_12767,plain,
sdtpldt0(xm,sz00) = sdtpldt0(sz00,xm),
inference(superposition,[status(thm)],[c_93,c_2810]) ).
tcf(c_12768,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_95,c_2810]) ).
tcf(c_12769,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),xm) = sdtpldt0(xm,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_2810]) ).
tcf(c_12770,plain,
sdtpldt0(sdtpldt0(xl,xm),xm) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2931,c_2810]) ).
tcf(c_12771,plain,
sdtpldt0(sdtpldt0(xl,xn),xm) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2971,c_2810]) ).
tcf(c_12772,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_3010,c_2810]) ).
tcf(c_12773,plain,
sdtpldt0(xm,xr) = sdtpldt0(xr,xm),
inference(superposition,[status(thm)],[c_4939,c_2810]) ).
tcf(c_12774,plain,
sdtpldt0(xm,xp) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_3837,c_2810]) ).
tcf(c_12775,plain,
sdtpldt0(xm,xq) = sdtpldt0(xq,xm),
inference(superposition,[status(thm)],[c_4938,c_2810]) ).
tcf(c_12776,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_3373,c_2810]) ).
tcf(c_12777,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_5245,c_2810]) ).
tcf(c_12778,plain,
sdtpldt0(sdtpldt0(xl,xp),xm) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_7844,c_2810]) ).
tcf(c_12779,plain,
sdtpldt0(sdtpldt0(xl,xq),xm) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_9733,c_2810]) ).
tcf(c_12780,plain,
sdtpldt0(sdtpldt0(xl,xr),xm) = sdtpldt0(xm,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_10141,c_2810]) ).
tcf(c_12812,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_12762,c_68]) ).
tcf(c_12813,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_12762,c_67]) ).
tcf(c_12814,plain,
( sdtlseqdt0(xn,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_12762,c_143]) ).
tcf(c_12815,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_12762,c_77]) ).
tcf(c_12816,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_12762,c_63]) ).
tcf(c_12817,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_12762,c_69]) ).
tcf(c_12818,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_12762,c_61]) ).
tcf(c_12819,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_12762,c_78]) ).
tcf(c_12820,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_12762,c_70]) ).
tcf(c_12821,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_12762,c_61]) ).
tcf(c_12822,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_12762,c_63]) ).
tcf(c_12823,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_12815,c_51,c_50]) ).
tcf(c_12824,plain,
sdtlseqdt0(xn,sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_12814,c_51,c_50]) ).
tcf(c_12825,plain,
( ( xn = sz00 )
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12813,c_51,c_50]) ).
tcf(c_12828,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12812,c_51,c_50]) ).
tcf(c_12831,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12820,c_51,c_50]) ).
tcf(c_12835,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12819,c_51,c_50]) ).
tcf(c_12840,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12817,c_51,c_50]) ).
tcf(c_12844,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12822,c_51,c_50]) ).
tcf(c_12849,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xm,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12821,c_51,c_50]) ).
tcf(c_12854,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xn,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12818,c_51,c_50]) ).
tcf(c_12859,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(X0,xm))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12816,c_51,c_50]) ).
tcf(c_12871,plain,
sdtpldt0(sdtpldt0(xm,xn),xm) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12823,c_2810]) ).
tcf(c_12872,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_12823,c_72]) ).
tcf(c_12873,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_12823,c_71]) ).
tcf(c_12874,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_12823,c_105]) ).
tcf(c_12875,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_12823,c_75]) ).
tcf(c_12876,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xn),X0),sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12823,c_153]) ).
tcf(c_12877,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,xn),X0),sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12823,c_146]) ).
tcf(c_12878,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xn),X0) = sdtasdt0(X0,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12823,c_106]) ).
tcf(c_12879,plain,
sdtpldt0(sdtpldt0(xm,xn),xl) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12823,c_2809]) ).
tcf(c_12880,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xn),X0) = sdtpldt0(X0,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12823,c_76]) ).
tcf(c_12881,plain,
sdtasdt0(sz00,sdtpldt0(xm,xn)) = sz00,
inference(superposition,[status(thm)],[c_12823,c_92]) ).
tcf(c_12882,plain,
sdtasdt0(sdtpldt0(xm,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_12823,c_91]) ).
tcf(c_12883,plain,
sdtpldt0(sz00,sdtpldt0(xm,xn)) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_12823,c_74]) ).
tcf(c_12884,plain,
sdtpldt0(sdtpldt0(xm,xn),sz00) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_12823,c_73]) ).
tcf(c_12963,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12824,c_99]) ).
tcf(c_12964,plain,
( ( sdtpldt0(xn,sdtmndt0(sdtpldt0(xm,xn),xn)) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12824,c_104]) ).
tcf(c_12965,plain,
( ( sdtpldt0(xm,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xn),xn) ),
inference(superposition,[status(thm)],[c_12824,c_100]) ).
tcf(c_12966,plain,
( ( sdtpldt0(xn,sK0(xn,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12824,c_66]) ).
tcf(c_12967,plain,
sdtpldt0(xn,sK0(xn,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_12966,c_51,c_12823]) ).
tcf(c_12968,plain,
( ( sdtpldt0(xm,xn) = xn )
| ~ sdtlseqdt0(sdtpldt0(xm,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12965,c_51,c_12823]) ).
tcf(c_12971,plain,
sdtpldt0(xn,sdtmndt0(sdtpldt0(xm,xn),xn)) = sdtpldt0(xm,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_12964,c_51,c_12823]) ).
tcf(c_12972,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12963,c_51,c_12823]) ).
tcf(c_12979,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_12773,c_68]) ).
tcf(c_12980,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_12773,c_67]) ).
tcf(c_12981,plain,
( sdtlseqdt0(xr,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_12773,c_143]) ).
tcf(c_12982,plain,
( aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_12773,c_77]) ).
tcf(c_12983,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(X0,xm))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_12773,c_63]) ).
tcf(c_12984,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_12773,c_69]) ).
tcf(c_12985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(xr,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_12773,c_61]) ).
tcf(c_12986,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_12773,c_78]) ).
tcf(c_12987,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_12773,c_70]) ).
tcf(c_12988,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xm,xr))
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_12773,c_61]) ).
tcf(c_12989,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_12773,c_63]) ).
tcf(c_12990,plain,
aNaturalNumber0(sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_12982,c_4939,c_50]) ).
tcf(c_12991,plain,
sdtlseqdt0(xr,sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_12981,c_4939,c_50]) ).
tcf(c_12992,plain,
( ( sz00 = xr )
| ( sdtpldt0(xm,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12980,c_4939,c_50]) ).
tcf(c_12995,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12979,c_4939,c_50]) ).
tcf(c_12998,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12987,c_4939,c_50]) ).
tcf(c_13002,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12986,c_4939,c_50]) ).
tcf(c_13007,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12984,c_4939,c_50]) ).
tcf(c_13011,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12989,c_4939,c_50]) ).
tcf(c_13016,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xm,xr))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12988,c_4939,c_50]) ).
tcf(c_13021,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(xr,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12985,c_4939,c_50]) ).
tcf(c_13026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(X0,xm))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12983,c_4939,c_50]) ).
tcf(c_13120,plain,
sdtpldt0(sdtpldt0(xm,xr),xm) = sdtpldt0(xm,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_12990,c_2810]) ).
tcf(c_13121,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,xr),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,xr)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12990,c_72]) ).
tcf(c_13122,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,xr))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12990,c_71]) ).
tcf(c_13123,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,xr)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12990,c_105]) ).
tcf(c_13124,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xr)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12990,c_75]) ).
tcf(c_13125,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xr),X0),sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12990,c_153]) ).
tcf(c_13126,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,xr),X0),sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12990,c_146]) ).
tcf(c_13127,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xr),X0) = sdtasdt0(X0,sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12990,c_106]) ).
tcf(c_13128,plain,
sdtpldt0(sdtpldt0(xm,xr),xl) = sdtpldt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_12990,c_2809]) ).
tcf(c_13129,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xr),X0) = sdtpldt0(X0,sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12990,c_76]) ).
tcf(c_13130,plain,
sdtasdt0(sz00,sdtpldt0(xm,xr)) = sz00,
inference(superposition,[status(thm)],[c_12990,c_92]) ).
tcf(c_13131,plain,
sdtasdt0(sdtpldt0(xm,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_12990,c_91]) ).
tcf(c_13132,plain,
sdtpldt0(sz00,sdtpldt0(xm,xr)) = sdtpldt0(xm,xr),
inference(superposition,[status(thm)],[c_12990,c_74]) ).
tcf(c_13133,plain,
sdtpldt0(sdtpldt0(xm,xr),sz00) = sdtpldt0(xm,xr),
inference(superposition,[status(thm)],[c_12990,c_73]) ).
tcf(c_13163,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_12991,c_99]) ).
tcf(c_13164,plain,
( ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xm,xr),xr)) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_12991,c_104]) ).
tcf(c_13165,plain,
( ( sdtpldt0(xm,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),xr) ),
inference(superposition,[status(thm)],[c_12991,c_100]) ).
tcf(c_13166,plain,
( ( sdtpldt0(xr,sK0(xr,sdtpldt0(xm,xr))) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_12991,c_66]) ).
tcf(c_13167,plain,
sdtpldt0(xr,sK0(xr,sdtpldt0(xm,xr))) = sdtpldt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_13166,c_4939,c_12990]) ).
tcf(c_13168,plain,
( ( sdtpldt0(xm,xr) = xr )
| ~ sdtlseqdt0(sdtpldt0(xm,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13165,c_4939,c_12990]) ).
tcf(c_13171,plain,
sdtpldt0(xr,sdtmndt0(sdtpldt0(xm,xr),xr)) = sdtpldt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_13164,c_4939,c_12990]) ).
tcf(c_13172,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13163,c_4939,c_12990]) ).
tcf(c_13179,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_12774,c_68]) ).
tcf(c_13180,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_12774,c_67]) ).
tcf(c_13181,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_12774,c_143]) ).
tcf(c_13182,plain,
( aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_12774,c_77]) ).
tcf(c_13183,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_12774,c_63]) ).
tcf(c_13184,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_12774,c_69]) ).
tcf(c_13185,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_12774,c_61]) ).
tcf(c_13186,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_12774,c_78]) ).
tcf(c_13187,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_12774,c_70]) ).
tcf(c_13188,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_12774,c_61]) ).
tcf(c_13189,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_12774,c_63]) ).
tcf(c_13190,plain,
aNaturalNumber0(sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_13182,c_3837,c_50]) ).
tcf(c_13191,plain,
sdtlseqdt0(xp,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_13181,c_3837,c_50]) ).
tcf(c_13192,plain,
( ( sz00 = xp )
| ( sdtpldt0(xm,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13180,c_3837,c_50]) ).
tcf(c_13195,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13179,c_3837,c_50]) ).
tcf(c_13198,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13187,c_3837,c_50]) ).
tcf(c_13202,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13186,c_3837,c_50]) ).
tcf(c_13207,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13184,c_3837,c_50]) ).
tcf(c_13211,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13189,c_3837,c_50]) ).
tcf(c_13216,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xm,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13188,c_3837,c_50]) ).
tcf(c_13221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xp,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13185,c_3837,c_50]) ).
tcf(c_13226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,xm))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13183,c_3837,c_50]) ).
tcf(c_13286,plain,
sdtpldt0(sdtpldt0(xm,xp),xm) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_13190,c_2810]) ).
tcf(c_13287,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_13190,c_72]) ).
tcf(c_13288,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_13190,c_71]) ).
tcf(c_13289,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_13190,c_105]) ).
tcf(c_13290,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_13190,c_75]) ).
tcf(c_13291,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xp),X0),sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13190,c_153]) ).
tcf(c_13292,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,xp),X0),sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13190,c_146]) ).
tcf(c_13293,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xp),X0) = sdtasdt0(X0,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13190,c_106]) ).
tcf(c_13294,plain,
sdtpldt0(sdtpldt0(xm,xp),xl) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_13190,c_2809]) ).
tcf(c_13295,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xp),X0) = sdtpldt0(X0,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13190,c_76]) ).
tcf(c_13296,plain,
sdtasdt0(sz00,sdtpldt0(xm,xp)) = sz00,
inference(superposition,[status(thm)],[c_13190,c_92]) ).
tcf(c_13297,plain,
sdtasdt0(sdtpldt0(xm,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_13190,c_91]) ).
tcf(c_13298,plain,
sdtpldt0(sz00,sdtpldt0(xm,xp)) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_13190,c_74]) ).
tcf(c_13299,plain,
sdtpldt0(sdtpldt0(xm,xp),sz00) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_13190,c_73]) ).
tcf(c_13347,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13191,c_99]) ).
tcf(c_13348,plain,
( ( sdtpldt0(xp,sdtmndt0(sdtpldt0(xm,xp),xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13191,c_104]) ).
tcf(c_13349,plain,
( ( sdtpldt0(xm,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),xp) ),
inference(superposition,[status(thm)],[c_13191,c_100]) ).
tcf(c_13350,plain,
( ( sdtpldt0(xp,sK0(xp,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13191,c_66]) ).
tcf(c_13351,plain,
sdtpldt0(xp,sK0(xp,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_13350,c_3837,c_13190]) ).
tcf(c_13352,plain,
( ( sdtpldt0(xm,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xm,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13349,c_3837,c_13190]) ).
tcf(c_13355,plain,
sdtpldt0(xp,sdtmndt0(sdtpldt0(xm,xp),xp)) = sdtpldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_13348,c_3837,c_13190]) ).
tcf(c_13356,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13347,c_3837,c_13190]) ).
tcf(c_13361,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xn)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12881,c_87]) ).
tcf(c_13364,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(X0,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12881,c_90]) ).
tcf(c_13370,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xn)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12881,c_87]) ).
tcf(c_13373,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13364,c_93,c_12823]) ).
tcf(c_13378,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xn)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13370,c_93,c_12823]) ).
tcf(c_13384,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xn)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13361,c_93,c_12823]) ).
tcf(c_13392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12882,c_85]) ).
tcf(c_13397,plain,
( doDivides0(sdtpldt0(xm,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12882,c_140]) ).
tcf(c_13400,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(sdtpldt0(xm,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12882,c_89]) ).
tcf(c_13401,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xn),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12882,c_85]) ).
tcf(c_13402,plain,
doDivides0(sdtpldt0(xm,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_13397,c_93,c_12823]) ).
tcf(c_13403,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13400,c_93,c_12823]) ).
tcf(c_13408,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xn),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13401,c_93,c_12823]) ).
tcf(c_13414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13392,c_93,c_12823]) ).
tcf(c_13420,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ doDivides0(X0,sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_13402,c_79]) ).
tcf(c_13421,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_13402,c_96]) ).
tcf(c_13422,plain,
( ( sdtasdt0(sdtpldt0(xm,xn),sK1(sdtpldt0(xm,xn),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_13402,c_82]) ).
tcf(c_13423,plain,
sdtasdt0(sdtpldt0(xm,xn),sK1(sdtpldt0(xm,xn),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_13422,c_93,c_12823]) ).
tcf(c_13424,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13420,c_93,c_12823]) ).
tcf(c_13428,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(sz00,sdtpldt0(xm,xn))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13421,c_93,c_12823]) ).
tcf(c_13431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13130,c_87]) ).
tcf(c_13434,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtasdt0(X0,sdtpldt0(xm,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13130,c_90]) ).
tcf(c_13440,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13130,c_87]) ).
tcf(c_13443,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13434,c_93,c_12990]) ).
tcf(c_13448,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13440,c_93,c_12990]) ).
tcf(c_13454,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13431,c_93,c_12990]) ).
tcf(c_13495,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_12775,c_68]) ).
tcf(c_13496,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_12775,c_67]) ).
tcf(c_13497,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_12775,c_143]) ).
tcf(c_13498,plain,
( aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_12775,c_77]) ).
tcf(c_13499,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_12775,c_63]) ).
tcf(c_13500,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_12775,c_69]) ).
tcf(c_13501,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_12775,c_61]) ).
tcf(c_13502,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_12775,c_78]) ).
tcf(c_13503,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_12775,c_70]) ).
tcf(c_13504,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_12775,c_61]) ).
tcf(c_13505,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_12775,c_63]) ).
tcf(c_13506,plain,
aNaturalNumber0(sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_13498,c_4938,c_50]) ).
tcf(c_13507,plain,
sdtlseqdt0(xq,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_13497,c_4938,c_50]) ).
tcf(c_13508,plain,
( ( sz00 = xq )
| ( sdtpldt0(xm,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13496,c_4938,c_50]) ).
tcf(c_13511,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13495,c_4938,c_50]) ).
tcf(c_13514,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13503,c_4938,c_50]) ).
tcf(c_13518,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13502,c_4938,c_50]) ).
tcf(c_13523,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13500,c_4938,c_50]) ).
tcf(c_13527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13505,c_4938,c_50]) ).
tcf(c_13532,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xm,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13504,c_4938,c_50]) ).
tcf(c_13537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xq,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13501,c_4938,c_50]) ).
tcf(c_13542,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,xm))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13499,c_4938,c_50]) ).
tcf(c_13553,plain,
sdtpldt0(sdtpldt0(xm,xq),xm) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_13506,c_2810]) ).
tcf(c_13554,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_13506,c_72]) ).
tcf(c_13555,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_13506,c_71]) ).
tcf(c_13556,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_13506,c_105]) ).
tcf(c_13557,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_13506,c_75]) ).
tcf(c_13558,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xq),X0),sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13506,c_153]) ).
tcf(c_13559,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,xq),X0),sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13506,c_146]) ).
tcf(c_13560,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xq),X0) = sdtasdt0(X0,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13506,c_106]) ).
tcf(c_13561,plain,
sdtpldt0(sdtpldt0(xm,xq),xl) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_13506,c_2809]) ).
tcf(c_13562,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xq),X0) = sdtpldt0(X0,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13506,c_76]) ).
tcf(c_13563,plain,
sdtasdt0(sz00,sdtpldt0(xm,xq)) = sz00,
inference(superposition,[status(thm)],[c_13506,c_92]) ).
tcf(c_13564,plain,
sdtasdt0(sdtpldt0(xm,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_13506,c_91]) ).
tcf(c_13565,plain,
sdtpldt0(sz00,sdtpldt0(xm,xq)) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_13506,c_74]) ).
tcf(c_13566,plain,
sdtpldt0(sdtpldt0(xm,xq),sz00) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_13506,c_73]) ).
tcf(c_13626,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13507,c_99]) ).
tcf(c_13627,plain,
( ( sdtpldt0(xq,sdtmndt0(sdtpldt0(xm,xq),xq)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13507,c_104]) ).
tcf(c_13628,plain,
( ( sdtpldt0(xm,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),xq) ),
inference(superposition,[status(thm)],[c_13507,c_100]) ).
tcf(c_13629,plain,
( ( sdtpldt0(xq,sK0(xq,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13507,c_66]) ).
tcf(c_13630,plain,
sdtpldt0(xq,sK0(xq,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_13629,c_4938,c_13506]) ).
tcf(c_13631,plain,
( ( sdtpldt0(xm,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xm,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13628,c_4938,c_13506]) ).
tcf(c_13634,plain,
sdtpldt0(xq,sdtmndt0(sdtpldt0(xm,xq),xq)) = sdtpldt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_13627,c_4938,c_13506]) ).
tcf(c_13635,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13626,c_4938,c_13506]) ).
tcf(c_13681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13131,c_85]) ).
tcf(c_13686,plain,
( doDivides0(sdtpldt0(xm,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13131,c_140]) ).
tcf(c_13689,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtasdt0(sdtpldt0(xm,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13131,c_89]) ).
tcf(c_13690,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13131,c_85]) ).
tcf(c_13691,plain,
doDivides0(sdtpldt0(xm,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_13686,c_93,c_12990]) ).
tcf(c_13692,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13689,c_93,c_12990]) ).
tcf(c_13697,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13690,c_93,c_12990]) ).
tcf(c_13703,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13681,c_93,c_12990]) ).
tcf(c_13709,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ doDivides0(X0,sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13691,c_79]) ).
tcf(c_13710,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xr),sdtsldt0(sz00,sdtpldt0(xm,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13691,c_96]) ).
tcf(c_13711,plain,
( ( sdtasdt0(sdtpldt0(xm,xr),sK1(sdtpldt0(xm,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13691,c_82]) ).
tcf(c_13712,plain,
sdtasdt0(sdtpldt0(xm,xr),sK1(sdtpldt0(xm,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_13711,c_93,c_12990]) ).
tcf(c_13713,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13709,c_93,c_12990]) ).
tcf(c_13717,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xr),sdtsldt0(sz00,sdtpldt0(xm,xr))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13710,c_93,c_12990]) ).
tcf(c_13720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xp)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13296,c_87]) ).
tcf(c_13723,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtasdt0(X0,sdtpldt0(xm,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13296,c_90]) ).
tcf(c_13729,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xp)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13296,c_87]) ).
tcf(c_13732,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13723,c_93,c_13190]) ).
tcf(c_13737,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xp)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13729,c_93,c_13190]) ).
tcf(c_13743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xp)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13720,c_93,c_13190]) ).
tcf(c_13751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13297,c_85]) ).
tcf(c_13756,plain,
( doDivides0(sdtpldt0(xm,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13297,c_140]) ).
tcf(c_13759,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtasdt0(sdtpldt0(xm,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13297,c_89]) ).
tcf(c_13760,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xp),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13297,c_85]) ).
tcf(c_13761,plain,
doDivides0(sdtpldt0(xm,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_13756,c_93,c_13190]) ).
tcf(c_13762,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13759,c_93,c_13190]) ).
tcf(c_13767,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xp),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13760,c_93,c_13190]) ).
tcf(c_13773,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13751,c_93,c_13190]) ).
tcf(c_13787,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ doDivides0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13761,c_79]) ).
tcf(c_13788,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xp),sdtsldt0(sz00,sdtpldt0(xm,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13761,c_96]) ).
tcf(c_13789,plain,
( ( sdtasdt0(sdtpldt0(xm,xp),sK1(sdtpldt0(xm,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13761,c_82]) ).
tcf(c_13790,plain,
sdtasdt0(sdtpldt0(xm,xp),sK1(sdtpldt0(xm,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_13789,c_93,c_13190]) ).
tcf(c_13791,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13787,c_93,c_13190]) ).
tcf(c_13795,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xp),sdtsldt0(sz00,sdtpldt0(xm,xp))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13788,c_93,c_13190]) ).
tcf(c_13798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xq)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13563,c_87]) ).
tcf(c_13801,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtasdt0(X0,sdtpldt0(xm,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13563,c_90]) ).
tcf(c_13807,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xq)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13563,c_87]) ).
tcf(c_13810,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13801,c_93,c_13506]) ).
tcf(c_13815,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xq)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13807,c_93,c_13506]) ).
tcf(c_13821,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xq)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13798,c_93,c_13506]) ).
tcf(c_13846,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13564,c_85]) ).
tcf(c_13851,plain,
( doDivides0(sdtpldt0(xm,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13564,c_140]) ).
tcf(c_13854,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtasdt0(sdtpldt0(xm,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13564,c_89]) ).
tcf(c_13855,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xq),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13564,c_85]) ).
tcf(c_13856,plain,
doDivides0(sdtpldt0(xm,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_13851,c_93,c_13506]) ).
tcf(c_13857,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13854,c_93,c_13506]) ).
tcf(c_13862,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xq),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13855,c_93,c_13506]) ).
tcf(c_13868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13846,c_93,c_13506]) ).
tcf(c_13874,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ doDivides0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13856,c_79]) ).
tcf(c_13875,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xq),sdtsldt0(sz00,sdtpldt0(xm,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13856,c_96]) ).
tcf(c_13876,plain,
( ( sdtasdt0(sdtpldt0(xm,xq),sK1(sdtpldt0(xm,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13856,c_82]) ).
tcf(c_13877,plain,
sdtasdt0(sdtpldt0(xm,xq),sK1(sdtpldt0(xm,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_13876,c_93,c_13506]) ).
tcf(c_13878,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13874,c_93,c_13506]) ).
tcf(c_13882,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xq),sdtsldt0(sz00,sdtpldt0(xm,xq))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13875,c_93,c_13506]) ).
tcf(c_13894,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12883,c_143]) ).
tcf(c_13896,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(X0,sdtpldt0(xm,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12883,c_63]) ).
tcf(c_13897,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_12883,c_69]) ).
tcf(c_13898,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0) ),
inference(superposition,[status(thm)],[c_12883,c_61]) ).
tcf(c_13900,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(X0,sdtpldt0(xm,xn)) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_12883,c_70]) ).
tcf(c_13901,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xn))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12883,c_61]) ).
tcf(c_13902,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xn)),sdtpldt0(xm,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12883,c_63]) ).
tcf(c_13903,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_13894,c_93,c_12823]) ).
tcf(c_13904,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,xn)) != sdtpldt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13900,c_93,c_12823]) ).
tcf(c_13908,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13897,c_93,c_12823]) ).
tcf(c_13912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xn)),sdtpldt0(xm,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13902,c_93,c_12823]) ).
tcf(c_13917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(X0,sdtpldt0(xm,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13896,c_93,c_12823]) ).
tcf(c_13922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xn))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13901,c_93,c_12823]) ).
tcf(c_13927,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13898,c_93,c_12823]) ).
tcf(c_13980,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3492,c_63]) ).
tcf(c_13981,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xm)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_3492,c_69]) ).
tcf(c_13982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_3492,c_61]) ).
tcf(c_13983,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3492,c_78]) ).
tcf(c_13984,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xm))) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_3492,c_70]) ).
tcf(c_13985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xm))
| ( sK0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3492,c_61]) ).
tcf(c_13986,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xm))),sdtpldt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3492,c_63]) ).
tcf(c_13987,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xm))) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13984,c_93]) ).
tcf(c_13992,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13983,c_93]) ).
tcf(c_13998,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xm)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13981,c_93]) ).
tcf(c_14003,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xm))),sdtpldt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13986,c_93]) ).
tcf(c_14009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13980,c_93]) ).
tcf(c_14015,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xm))
| ( sK0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13985,c_93]) ).
tcf(c_14021,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13982,c_93]) ).
tcf(c_14031,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_13903,c_99]) ).
tcf(c_14032,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xm,xn),sz00)) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_13903,c_104]) ).
tcf(c_14033,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_13903,c_100]) ).
tcf(c_14034,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_13903,c_66]) ).
tcf(c_14035,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_14034,c_93,c_12823]) ).
tcf(c_14036,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xm,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14033,c_93,c_12823]) ).
tcf(c_14039,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xm,xn),sz00)) = sdtpldt0(xm,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_14032,c_93,c_12823]) ).
tcf(c_14040,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14031,c_93,c_12823]) ).
tcf(c_14053,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12884,c_143]) ).
tcf(c_14055,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0) ),
inference(superposition,[status(thm)],[c_12884,c_63]) ).
tcf(c_14056,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),X0) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_12884,c_69]) ).
tcf(c_14057,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(sdtpldt0(xm,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12884,c_61]) ).
tcf(c_14059,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_12884,c_70]) ).
tcf(c_14060,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xn),X0),sdtpldt0(xm,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12884,c_61]) ).
tcf(c_14061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xn))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12884,c_63]) ).
tcf(c_14062,plain,
sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_14053,c_93,c_12823]) ).
tcf(c_14063,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14059,c_93,c_12823]) ).
tcf(c_14067,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xn),X0) != sdtpldt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14056,c_93,c_12823]) ).
tcf(c_14071,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xn),X0),sdtpldt0(xm,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14060,c_93,c_12823]) ).
tcf(c_14076,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(sdtpldt0(xm,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14057,c_93,c_12823]) ).
tcf(c_14081,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xn))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14061,c_93,c_12823]) ).
tcf(c_14086,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14055,c_93,c_12823]) ).
tcf(c_14112,plain,
( ( sdtpldt0(sdtpldt0(xm,xn),sdtmndt0(sdtpldt0(xm,xn),sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14062,c_104]) ).
tcf(c_14114,plain,
( ( sdtpldt0(sdtpldt0(xm,xn),sK0(sdtpldt0(xm,xn),sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14062,c_66]) ).
tcf(c_14115,plain,
sdtpldt0(sdtpldt0(xm,xn),sK0(sdtpldt0(xm,xn),sdtpldt0(xm,xn))) = sdtpldt0(xm,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_14114,c_12823]) ).
tcf(c_14116,plain,
sdtpldt0(sdtpldt0(xm,xn),sdtmndt0(sdtpldt0(xm,xn),sdtpldt0(xm,xn))) = sdtpldt0(xm,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_14112,c_12823]) ).
tcf(c_14121,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13132,c_143]) ).
tcf(c_14123,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(X0,sdtpldt0(xm,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13132,c_63]) ).
tcf(c_14124,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_13132,c_69]) ).
tcf(c_14125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_13132,c_61]) ).
tcf(c_14127,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(X0,sdtpldt0(xm,xr)) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_13132,c_70]) ).
tcf(c_14128,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xr))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13132,c_61]) ).
tcf(c_14129,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xr)),sdtpldt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13132,c_63]) ).
tcf(c_14130,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_14121,c_93,c_12990]) ).
tcf(c_14131,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,xr)) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14127,c_93,c_12990]) ).
tcf(c_14135,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14124,c_93,c_12990]) ).
tcf(c_14139,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xr)),sdtpldt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14129,c_93,c_12990]) ).
tcf(c_14144,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(X0,sdtpldt0(xm,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14123,c_93,c_12990]) ).
tcf(c_14149,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xr))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14128,c_93,c_12990]) ).
tcf(c_14154,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14125,c_93,c_12990]) ).
tcf(c_14162,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14130,c_99]) ).
tcf(c_14163,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xm,xr),sz00)) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14130,c_104]) ).
tcf(c_14164,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),sz00) ),
inference(superposition,[status(thm)],[c_14130,c_100]) ).
tcf(c_14165,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xm,xr))) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14130,c_66]) ).
tcf(c_14166,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xm,xr))) = sdtpldt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_14165,c_93,c_12990]) ).
tcf(c_14167,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xm,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14164,c_93,c_12990]) ).
tcf(c_14170,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xm,xr),sz00)) = sdtpldt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_14163,c_93,c_12990]) ).
tcf(c_14171,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14162,c_93,c_12990]) ).
tcf(c_14218,plain,
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13133,c_143]) ).
tcf(c_14220,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_13133,c_63]) ).
tcf(c_14221,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(sdtpldt0(xm,xr),X0) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_13133,c_69]) ).
tcf(c_14222,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(sdtpldt0(xm,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13133,c_61]) ).
tcf(c_14224,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_13133,c_70]) ).
tcf(c_14225,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),X0),sdtpldt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13133,c_61]) ).
tcf(c_14226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xr))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13133,c_63]) ).
tcf(c_14227,plain,
sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_14218,c_93,c_12990]) ).
tcf(c_14228,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14224,c_93,c_12990]) ).
tcf(c_14232,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xr),X0) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14221,c_93,c_12990]) ).
tcf(c_14236,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),X0),sdtpldt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14225,c_93,c_12990]) ).
tcf(c_14241,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(sdtpldt0(xm,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14222,c_93,c_12990]) ).
tcf(c_14246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xr))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14226,c_93,c_12990]) ).
tcf(c_14251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14220,c_93,c_12990]) ).
tcf(c_14257,plain,
( ( sdtpldt0(sdtpldt0(xm,xr),sdtmndt0(sdtpldt0(xm,xr),sdtpldt0(xm,xr))) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14227,c_104]) ).
tcf(c_14259,plain,
( ( sdtpldt0(sdtpldt0(xm,xr),sK0(sdtpldt0(xm,xr),sdtpldt0(xm,xr))) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14227,c_66]) ).
tcf(c_14260,plain,
sdtpldt0(sdtpldt0(xm,xr),sK0(sdtpldt0(xm,xr),sdtpldt0(xm,xr))) = sdtpldt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_14259,c_12990]) ).
tcf(c_14261,plain,
sdtpldt0(sdtpldt0(xm,xr),sdtmndt0(sdtpldt0(xm,xr),sdtpldt0(xm,xr))) = sdtpldt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_14257,c_12990]) ).
tcf(c_14266,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13298,c_143]) ).
tcf(c_14268,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,sdtpldt0(xm,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13298,c_63]) ).
tcf(c_14269,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_13298,c_69]) ).
tcf(c_14270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_13298,c_61]) ).
tcf(c_14272,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(X0,sdtpldt0(xm,xp)) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_13298,c_70]) ).
tcf(c_14273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xp))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13298,c_61]) ).
tcf(c_14274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xp)),sdtpldt0(xm,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13298,c_63]) ).
tcf(c_14275,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_14266,c_93,c_13190]) ).
tcf(c_14276,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,xp)) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14272,c_93,c_13190]) ).
tcf(c_14280,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14269,c_93,c_13190]) ).
tcf(c_14284,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xp)),sdtpldt0(xm,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14274,c_93,c_13190]) ).
tcf(c_14289,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,sdtpldt0(xm,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14268,c_93,c_13190]) ).
tcf(c_14294,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xp))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14273,c_93,c_13190]) ).
tcf(c_14299,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14270,c_93,c_13190]) ).
tcf(c_14307,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14275,c_99]) ).
tcf(c_14308,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xm,xp),sz00)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14275,c_104]) ).
tcf(c_14309,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_14275,c_100]) ).
tcf(c_14310,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14275,c_66]) ).
tcf(c_14311,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_14310,c_93,c_13190]) ).
tcf(c_14312,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14309,c_93,c_13190]) ).
tcf(c_14315,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xm,xp),sz00)) = sdtpldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_14308,c_93,c_13190]) ).
tcf(c_14316,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14307,c_93,c_13190]) ).
tcf(c_14343,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13299,c_143]) ).
tcf(c_14345,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_13299,c_63]) ).
tcf(c_14346,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(sdtpldt0(xm,xp),X0) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_13299,c_69]) ).
tcf(c_14347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(sdtpldt0(xm,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13299,c_61]) ).
tcf(c_14349,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_13299,c_70]) ).
tcf(c_14350,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sdtpldt0(xm,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13299,c_61]) ).
tcf(c_14351,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xp))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13299,c_63]) ).
tcf(c_14352,plain,
sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_14343,c_93,c_13190]) ).
tcf(c_14353,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14349,c_93,c_13190]) ).
tcf(c_14357,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xp),X0) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14346,c_93,c_13190]) ).
tcf(c_14361,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sdtpldt0(xm,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14350,c_93,c_13190]) ).
tcf(c_14366,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(sdtpldt0(xm,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14347,c_93,c_13190]) ).
tcf(c_14371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xp))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14351,c_93,c_13190]) ).
tcf(c_14376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14345,c_93,c_13190]) ).
tcf(c_14421,plain,
( ( sdtpldt0(sdtpldt0(xm,xp),sdtmndt0(sdtpldt0(xm,xp),sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14352,c_104]) ).
tcf(c_14423,plain,
( ( sdtpldt0(sdtpldt0(xm,xp),sK0(sdtpldt0(xm,xp),sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14352,c_66]) ).
tcf(c_14424,plain,
sdtpldt0(sdtpldt0(xm,xp),sK0(sdtpldt0(xm,xp),sdtpldt0(xm,xp))) = sdtpldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_14423,c_13190]) ).
tcf(c_14425,plain,
sdtpldt0(sdtpldt0(xm,xp),sdtmndt0(sdtpldt0(xm,xp),sdtpldt0(xm,xp))) = sdtpldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_14421,c_13190]) ).
tcf(c_14430,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13565,c_143]) ).
tcf(c_14432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,sdtpldt0(xm,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13565,c_63]) ).
tcf(c_14433,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_13565,c_69]) ).
tcf(c_14434,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_13565,c_61]) ).
tcf(c_14436,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(X0,sdtpldt0(xm,xq)) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_13565,c_70]) ).
tcf(c_14437,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xq))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13565,c_61]) ).
tcf(c_14438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xq)),sdtpldt0(xm,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13565,c_63]) ).
tcf(c_14439,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_14430,c_93,c_13506]) ).
tcf(c_14440,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,xq)) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14436,c_93,c_13506]) ).
tcf(c_14444,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14433,c_93,c_13506]) ).
tcf(c_14448,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xq)),sdtpldt0(xm,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14438,c_93,c_13506]) ).
tcf(c_14453,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,sdtpldt0(xm,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14432,c_93,c_13506]) ).
tcf(c_14458,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xq))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14437,c_93,c_13506]) ).
tcf(c_14463,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14434,c_93,c_13506]) ).
tcf(c_14471,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14439,c_99]) ).
tcf(c_14472,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xm,xq),sz00)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14439,c_104]) ).
tcf(c_14473,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_14439,c_100]) ).
tcf(c_14474,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14439,c_66]) ).
tcf(c_14475,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_14474,c_93,c_13506]) ).
tcf(c_14476,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14473,c_93,c_13506]) ).
tcf(c_14479,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xm,xq),sz00)) = sdtpldt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_14472,c_93,c_13506]) ).
tcf(c_14480,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14471,c_93,c_13506]) ).
tcf(c_14488,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13566,c_143]) ).
tcf(c_14490,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_13566,c_63]) ).
tcf(c_14491,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(sdtpldt0(xm,xq),X0) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_13566,c_69]) ).
tcf(c_14492,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(sdtpldt0(xm,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13566,c_61]) ).
tcf(c_14494,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_13566,c_70]) ).
tcf(c_14495,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sdtpldt0(xm,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13566,c_61]) ).
tcf(c_14496,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xq))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13566,c_63]) ).
tcf(c_14497,plain,
sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_14488,c_93,c_13506]) ).
tcf(c_14498,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14494,c_93,c_13506]) ).
tcf(c_14502,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xq),X0) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14491,c_93,c_13506]) ).
tcf(c_14506,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sdtpldt0(xm,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14495,c_93,c_13506]) ).
tcf(c_14511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(sdtpldt0(xm,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14492,c_93,c_13506]) ).
tcf(c_14516,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xq))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14496,c_93,c_13506]) ).
tcf(c_14521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14490,c_93,c_13506]) ).
tcf(c_14593,plain,
( ( sdtpldt0(sdtpldt0(xm,xq),sdtmndt0(sdtpldt0(xm,xq),sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14497,c_104]) ).
tcf(c_14595,plain,
( ( sdtpldt0(sdtpldt0(xm,xq),sK0(sdtpldt0(xm,xq),sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14497,c_66]) ).
tcf(c_14596,plain,
sdtpldt0(sdtpldt0(xm,xq),sK0(sdtpldt0(xm,xq),sdtpldt0(xm,xq))) = sdtpldt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_14595,c_13506]) ).
tcf(c_14597,plain,
sdtpldt0(sdtpldt0(xm,xq),sdtmndt0(sdtpldt0(xm,xq),sdtpldt0(xm,xq))) = sdtpldt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_14593,c_13506]) ).
tcf(c_14605,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_2811]) ).
tcf(c_14606,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_65,c_2811]) ).
tcf(c_14607,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xn) = sdtpldt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_2811]) ).
tcf(c_14608,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_81,c_2811]) ).
tcf(c_14609,plain,
sdtpldt0(xn,sz00) = sdtpldt0(sz00,xn),
inference(superposition,[status(thm)],[c_93,c_2811]) ).
tcf(c_14610,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_95,c_2811]) ).
tcf(c_14611,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),xn) = sdtpldt0(xn,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_2811]) ).
tcf(c_14612,plain,
sdtpldt0(sdtpldt0(xl,xm),xn) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2931,c_2811]) ).
tcf(c_14613,plain,
sdtpldt0(sdtpldt0(xl,xn),xn) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2971,c_2811]) ).
tcf(c_14614,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_3010,c_2811]) ).
tcf(c_14615,plain,
sdtpldt0(xn,xr) = sdtpldt0(xr,xn),
inference(superposition,[status(thm)],[c_4939,c_2811]) ).
tcf(c_14616,plain,
sdtpldt0(xn,xp) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_3837,c_2811]) ).
tcf(c_14617,plain,
sdtpldt0(xn,xq) = sdtpldt0(xq,xn),
inference(superposition,[status(thm)],[c_4938,c_2811]) ).
tcf(c_14618,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_3373,c_2811]) ).
tcf(c_14619,plain,
sdtpldt0(sdtpldt0(xm,xn),xn) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12823,c_2811]) ).
tcf(c_14620,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_5245,c_2811]) ).
tcf(c_14621,plain,
sdtpldt0(sdtpldt0(xl,xp),xn) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_7844,c_2811]) ).
tcf(c_14622,plain,
sdtpldt0(sdtpldt0(xl,xq),xn) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_9733,c_2811]) ).
tcf(c_14623,plain,
sdtpldt0(sdtpldt0(xl,xr),xn) = sdtpldt0(xn,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_10141,c_2811]) ).
tcf(c_14624,plain,
sdtpldt0(sdtpldt0(xm,xr),xn) = sdtpldt0(xn,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_12990,c_2811]) ).
tcf(c_14625,plain,
sdtpldt0(sdtpldt0(xm,xp),xn) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_13190,c_2811]) ).
tcf(c_14626,plain,
sdtpldt0(sdtpldt0(xm,xq),xn) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_13506,c_2811]) ).
tcf(c_14716,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sK0(xn,sdtpldt0(xl,xn))))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3493,c_63]) ).
tcf(c_14717,plain,
! [X0: $i] :
( ( sK0(xn,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xl,xn)))
| ( sdtpldt0(xn,X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_3493,c_69]) ).
tcf(c_14718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xn,X0))
| ( sK0(xn,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK0(xn,sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_3493,c_61]) ).
tcf(c_14719,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sK0(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3493,c_78]) ).
tcf(c_14720,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sK0(xn,sdtpldt0(xl,xn))) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_3493,c_70]) ).
tcf(c_14721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xl,xn))
| ( sK0(xn,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sK0(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3493,c_61]) ).
tcf(c_14722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtpldt0(xl,xn))),sdtpldt0(xl,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3493,c_63]) ).
tcf(c_14723,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sK0(xn,sdtpldt0(xl,xn))) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14720,c_51]) ).
tcf(c_14728,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sK0(xn,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14719,c_51]) ).
tcf(c_14734,plain,
! [X0: $i] :
( ( sK0(xn,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xl,xn)))
| ( sdtpldt0(xn,X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14717,c_51]) ).
tcf(c_14739,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtpldt0(xl,xn))),sdtpldt0(xl,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14722,c_51]) ).
tcf(c_14745,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sK0(xn,sdtpldt0(xl,xn))))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14716,c_51]) ).
tcf(c_14751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xl,xn))
| ( sK0(xn,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sK0(xn,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14721,c_51]) ).
tcf(c_14757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xn,X0))
| ( sK0(xn,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK0(xn,sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14718,c_51]) ).
tcf(c_14777,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_2815]) ).
tcf(c_14778,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_65,c_2815]) ).
tcf(c_14779,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtpldt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_2815]) ).
tcf(c_14780,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_81,c_2815]) ).
tcf(c_14782,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_95,c_2815]) ).
tcf(c_14783,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),sz00) = sdtpldt0(sz00,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_2815]) ).
tcf(c_14784,plain,
sdtpldt0(sdtpldt0(xl,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2931,c_2815]) ).
tcf(c_14785,plain,
sdtpldt0(sdtpldt0(xl,xn),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2971,c_2815]) ).
tcf(c_14786,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_3010,c_2815]) ).
tcf(c_14787,plain,
sdtpldt0(sz00,xr) = sdtpldt0(xr,sz00),
inference(superposition,[status(thm)],[c_4939,c_2815]) ).
tcf(c_14788,plain,
sdtpldt0(sz00,xp) = sdtpldt0(xp,sz00),
inference(superposition,[status(thm)],[c_3837,c_2815]) ).
tcf(c_14789,plain,
sdtpldt0(sz00,xq) = sdtpldt0(xq,sz00),
inference(superposition,[status(thm)],[c_4938,c_2815]) ).
tcf(c_14790,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_3373,c_2815]) ).
tcf(c_14791,plain,
sdtpldt0(sdtpldt0(xm,xn),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12823,c_2815]) ).
tcf(c_14792,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_5245,c_2815]) ).
tcf(c_14793,plain,
sdtpldt0(sdtpldt0(xl,xp),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_7844,c_2815]) ).
tcf(c_14794,plain,
sdtpldt0(sdtpldt0(xl,xq),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_9733,c_2815]) ).
tcf(c_14795,plain,
sdtpldt0(sdtpldt0(xl,xr),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_10141,c_2815]) ).
tcf(c_14796,plain,
sdtpldt0(sdtpldt0(xm,xr),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_12990,c_2815]) ).
tcf(c_14797,plain,
sdtpldt0(sdtpldt0(xm,xp),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_13190,c_2815]) ).
tcf(c_14798,plain,
sdtpldt0(sdtpldt0(xm,xq),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_13506,c_2815]) ).
tcf(c_14842,plain,
sdtasdt0(xl,xm) = sdtasdt0(xm,xl),
inference(superposition,[status(thm)],[c_50,c_3094]) ).
tcf(c_14843,plain,
sdtasdt0(xl,xn) = sdtasdt0(xn,xl),
inference(superposition,[status(thm)],[c_51,c_3094]) ).
tcf(c_14844,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xl) = sdtasdt0(xl,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_3094]) ).
tcf(c_14845,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_65,c_3094]) ).
tcf(c_14846,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xl) = sdtasdt0(xl,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_3094]) ).
tcf(c_14847,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_81,c_3094]) ).
tcf(c_14848,plain,
sdtasdt0(xl,sz00) = sdtasdt0(sz00,xl),
inference(superposition,[status(thm)],[c_93,c_3094]) ).
tcf(c_14849,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_95,c_3094]) ).
tcf(c_14850,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),xl) = sdtasdt0(xl,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_3094]) ).
tcf(c_14851,plain,
sdtasdt0(sdtpldt0(xl,xm),xl) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2931,c_3094]) ).
tcf(c_14852,plain,
sdtasdt0(sdtpldt0(xl,xn),xl) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2971,c_3094]) ).
tcf(c_14853,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_3010,c_3094]) ).
tcf(c_14854,plain,
sdtasdt0(xl,xr) = sdtasdt0(xr,xl),
inference(superposition,[status(thm)],[c_4939,c_3094]) ).
tcf(c_14855,plain,
sdtasdt0(xl,xp) = sdtasdt0(xp,xl),
inference(superposition,[status(thm)],[c_3837,c_3094]) ).
tcf(c_14856,plain,
sdtasdt0(xl,xq) = sdtasdt0(xq,xl),
inference(superposition,[status(thm)],[c_4938,c_3094]) ).
tcf(c_14857,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_3373,c_3094]) ).
tcf(c_14858,plain,
sdtasdt0(sdtpldt0(xm,xn),xl) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12823,c_3094]) ).
tcf(c_14859,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_5245,c_3094]) ).
tcf(c_14860,plain,
sdtasdt0(sdtpldt0(xl,xp),xl) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_7844,c_3094]) ).
tcf(c_14861,plain,
sdtasdt0(sdtpldt0(xl,xq),xl) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_9733,c_3094]) ).
tcf(c_14862,plain,
sdtasdt0(sdtpldt0(xl,xr),xl) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_10141,c_3094]) ).
tcf(c_14863,plain,
sdtasdt0(sdtpldt0(xm,xr),xl) = sdtasdt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_12990,c_3094]) ).
tcf(c_14864,plain,
sdtasdt0(sdtpldt0(xm,xp),xl) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_13190,c_3094]) ).
tcf(c_14865,plain,
sdtasdt0(sdtpldt0(xm,xq),xl) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_13506,c_3094]) ).
tcf(c_14866,plain,
sdtasdt0(xp,xl) = xm,
inference(light_normalisation,[status(thm)],[c_14855,c_6319]) ).
tcf(c_15000,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,xm))
| ( xl = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_14842,c_87]) ).
tcf(c_15001,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,xm))
| ( xl = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14842,c_83]) ).
tcf(c_15002,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xl,xm))
| ( xm = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_14842,c_85]) ).
tcf(c_15003,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_14842,c_90]) ).
tcf(c_15006,plain,
( ( xm = sz00 )
| ( xl = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ( sdtasdt0(xl,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_14842,c_88]) ).
tcf(c_15007,plain,
( doDivides0(xm,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14842,c_140]) ).
tcf(c_15008,plain,
( aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14842,c_107]) ).
tcf(c_15009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_14842,c_87]) ).
tcf(c_15010,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_14842,c_89]) ).
tcf(c_15011,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_14842,c_85]) ).
tcf(c_15012,plain,
aNaturalNumber0(sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_15008,c_50,c_49]) ).
tcf(c_15013,plain,
doDivides0(xm,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_15007,c_50,c_49]) ).
tcf(c_15014,plain,
sdtlseqdt0(xm,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_15001,c_54,c_50,c_49]) ).
tcf(c_15015,plain,
( ( xm = sz00 )
| ( sdtasdt0(xl,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15006,c_54,c_50,c_49]) ).
tcf(c_15018,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15010,c_50,c_49]) ).
tcf(c_15023,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15003,c_54,c_50,c_49]) ).
tcf(c_15027,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15011,c_50,c_49]) ).
tcf(c_15033,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(X0,xl))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15009,c_54,c_50,c_49]) ).
tcf(c_15038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xl,xm))
| ( xm = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15002,c_50,c_49]) ).
tcf(c_15044,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15000,c_54,c_50,c_49]) ).
tcf(c_15087,plain,
sdtasdt0(sdtasdt0(xl,xm),xl) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_15012,c_3094]) ).
tcf(c_15088,plain,
sdtpldt0(sdtasdt0(xl,xm),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_15012,c_2815]) ).
tcf(c_15089,plain,
sdtpldt0(sdtasdt0(xl,xm),xn) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_15012,c_2811]) ).
tcf(c_15090,plain,
sdtpldt0(sdtasdt0(xl,xm),xm) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_15012,c_2810]) ).
tcf(c_15091,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xl,xm),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xl,xm)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15012,c_72]) ).
tcf(c_15092,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xl,xm))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15012,c_71]) ).
tcf(c_15093,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,xm)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15012,c_105]) ).
tcf(c_15094,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,xm)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15012,c_75]) ).
tcf(c_15095,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,xm),X0),sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15012,c_153]) ).
tcf(c_15096,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xl,xm),X0),sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15012,c_146]) ).
tcf(c_15097,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xm),X0) = sdtasdt0(X0,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15012,c_106]) ).
tcf(c_15098,plain,
sdtpldt0(sdtasdt0(xl,xm),xl) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_15012,c_2809]) ).
tcf(c_15099,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,xm),X0) = sdtpldt0(X0,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15012,c_76]) ).
tcf(c_15100,plain,
sdtasdt0(sz00,sdtasdt0(xl,xm)) = sz00,
inference(superposition,[status(thm)],[c_15012,c_92]) ).
tcf(c_15101,plain,
sdtasdt0(sdtasdt0(xl,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_15012,c_91]) ).
tcf(c_15102,plain,
sdtpldt0(sz00,sdtasdt0(xl,xm)) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_15012,c_74]) ).
tcf(c_15103,plain,
sdtpldt0(sdtasdt0(xl,xm),sz00) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_15012,c_73]) ).
tcf(c_15132,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15013,c_79]) ).
tcf(c_15133,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sdtasdt0(xl,xm),xm)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15013,c_96]) ).
tcf(c_15134,plain,
( ( sdtasdt0(xm,sK1(xm,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15013,c_82]) ).
tcf(c_15135,plain,
sdtasdt0(xm,sK1(xm,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_15134,c_50,c_15012]) ).
tcf(c_15136,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15132,c_50,c_15012]) ).
tcf(c_15140,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sdtasdt0(xl,xm),xm)) = sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15133,c_50,c_15012]) ).
tcf(c_15237,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15014,c_99]) ).
tcf(c_15238,plain,
( ( sdtpldt0(xm,sdtmndt0(sdtasdt0(xl,xm),xm)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15014,c_104]) ).
tcf(c_15239,plain,
( ( sdtasdt0(xl,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),xm) ),
inference(superposition,[status(thm)],[c_15014,c_100]) ).
tcf(c_15240,plain,
( ( sdtpldt0(xm,sK0(xm,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15014,c_66]) ).
tcf(c_15241,plain,
sdtpldt0(xm,sK0(xm,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_15240,c_50,c_15012]) ).
tcf(c_15242,plain,
( ( sdtasdt0(xl,xm) = xm )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15239,c_50,c_15012]) ).
tcf(c_15245,plain,
sdtpldt0(xm,sdtmndt0(sdtasdt0(xl,xm),xm)) = sdtasdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_15238,c_50,c_15012]) ).
tcf(c_15246,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15237,c_50,c_15012]) ).
tcf(c_15251,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_14866,c_87]) ).
tcf(c_15252,plain,
( sdtlseqdt0(xp,xm)
| ( xl = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14866,c_83]) ).
tcf(c_15253,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_14866,c_85]) ).
tcf(c_15254,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != xm ) ),
inference(superposition,[status(thm)],[c_14866,c_90]) ).
tcf(c_15258,plain,
( doDivides0(xp,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14866,c_140]) ).
tcf(c_15260,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_14866,c_87]) ).
tcf(c_15261,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xm ) ),
inference(superposition,[status(thm)],[c_14866,c_89]) ).
tcf(c_15262,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_14866,c_85]) ).
tcf(c_15263,plain,
doDivides0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_15258,c_3837,c_49]) ).
tcf(c_15264,plain,
sdtlseqdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_15252,c_54,c_3837,c_49]) ).
tcf(c_15265,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15261,c_3837,c_49]) ).
tcf(c_15270,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15254,c_54,c_3837,c_49]) ).
tcf(c_15274,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15262,c_3837,c_49]) ).
tcf(c_15280,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xl))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15260,c_54,c_3837,c_49]) ).
tcf(c_15285,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xm)
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15253,c_3837,c_49]) ).
tcf(c_15291,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),xm)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15251,c_54,c_3837,c_49]) ).
tcf(c_15358,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_15263,c_79]) ).
tcf(c_15359,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(xm,xp)) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_15263,c_96]) ).
tcf(c_15360,plain,
( ( sdtasdt0(xp,sK1(xp,xm)) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_15263,c_82]) ).
tcf(c_15362,plain,
sdtasdt0(xp,sK1(xp,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_15360,c_3837,c_50]) ).
tcf(c_15363,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15358,c_3837,c_50]) ).
tcf(c_15367,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(xm,xp)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15359,c_3837,c_50]) ).
tcf(c_15371,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_15264,c_99]) ).
tcf(c_15372,plain,
( ( sdtpldt0(xp,sdtmndt0(xm,xp)) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_15264,c_104]) ).
tcf(c_15373,plain,
( ( xm = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xp) ),
inference(superposition,[status(thm)],[c_15264,c_100]) ).
tcf(c_15374,plain,
( ( sdtpldt0(xp,sK0(xp,xm)) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_15264,c_66]) ).
tcf(c_15375,plain,
sdtpldt0(xp,sK0(xp,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_15374,c_3837,c_50]) ).
tcf(c_15376,plain,
( ( xm = xp )
| ~ sdtlseqdt0(xm,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15373,c_3837,c_50]) ).
tcf(c_15379,plain,
sdtpldt0(xp,sdtmndt0(xm,xp)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_15372,c_3837,c_50]) ).
tcf(c_15380,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15371,c_3837,c_50]) ).
tcf(c_15386,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_14615,c_68]) ).
tcf(c_15387,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_14615,c_67]) ).
tcf(c_15388,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_14615,c_143]) ).
tcf(c_15389,plain,
( aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_14615,c_77]) ).
tcf(c_15390,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,xn))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_14615,c_63]) ).
tcf(c_15391,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_14615,c_69]) ).
tcf(c_15392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xr,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_14615,c_61]) ).
tcf(c_15393,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_14615,c_78]) ).
tcf(c_15394,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_14615,c_70]) ).
tcf(c_15395,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xn,xr))
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_14615,c_61]) ).
tcf(c_15396,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_14615,c_63]) ).
tcf(c_15397,plain,
aNaturalNumber0(sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_15389,c_4939,c_51]) ).
tcf(c_15398,plain,
sdtlseqdt0(xr,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_15388,c_4939,c_51]) ).
tcf(c_15399,plain,
( ( sz00 = xr )
| ( sdtpldt0(xn,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15387,c_4939,c_51]) ).
tcf(c_15402,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15386,c_4939,c_51]) ).
tcf(c_15405,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15394,c_4939,c_51]) ).
tcf(c_15409,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15393,c_4939,c_51]) ).
tcf(c_15414,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15391,c_4939,c_51]) ).
tcf(c_15418,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15396,c_4939,c_51]) ).
tcf(c_15423,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xn,xr))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15395,c_4939,c_51]) ).
tcf(c_15428,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xr,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15392,c_4939,c_51]) ).
tcf(c_15433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,xn))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15390,c_4939,c_51]) ).
tcf(c_15444,plain,
sdtasdt0(sdtpldt0(xn,xr),xl) = sdtasdt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_15397,c_3094]) ).
tcf(c_15445,plain,
sdtpldt0(sdtpldt0(xn,xr),sz00) = sdtpldt0(sz00,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_15397,c_2815]) ).
tcf(c_15446,plain,
sdtpldt0(sdtpldt0(xn,xr),xn) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_15397,c_2811]) ).
tcf(c_15447,plain,
sdtpldt0(sdtpldt0(xn,xr),xm) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_15397,c_2810]) ).
tcf(c_15448,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xn,xr),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xn,xr)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15397,c_72]) ).
tcf(c_15449,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xn,xr))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xn,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15397,c_71]) ).
tcf(c_15450,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xn,xr)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15397,c_105]) ).
tcf(c_15451,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xr)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15397,c_75]) ).
tcf(c_15452,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15397,c_153]) ).
tcf(c_15453,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15397,c_146]) ).
tcf(c_15454,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xr),X0) = sdtasdt0(X0,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15397,c_106]) ).
tcf(c_15455,plain,
sdtpldt0(sdtpldt0(xn,xr),xl) = sdtpldt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_15397,c_2809]) ).
tcf(c_15456,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xr),X0) = sdtpldt0(X0,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15397,c_76]) ).
tcf(c_15457,plain,
sdtasdt0(sz00,sdtpldt0(xn,xr)) = sz00,
inference(superposition,[status(thm)],[c_15397,c_92]) ).
tcf(c_15458,plain,
sdtasdt0(sdtpldt0(xn,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_15397,c_91]) ).
tcf(c_15459,plain,
sdtpldt0(sz00,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_15397,c_74]) ).
tcf(c_15460,plain,
sdtpldt0(sdtpldt0(xn,xr),sz00) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_15397,c_73]) ).
tcf(c_15527,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15398,c_99]) ).
tcf(c_15528,plain,
( ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15398,c_104]) ).
tcf(c_15529,plain,
( ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_15398,c_100]) ).
tcf(c_15530,plain,
( ( sdtpldt0(xr,sK0(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15398,c_66]) ).
tcf(c_15531,plain,
sdtpldt0(xr,sK0(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_15530,c_4939,c_15397]) ).
tcf(c_15532,plain,
( ( sdtpldt0(xn,xr) = xr )
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15529,c_4939,c_15397]) ).
tcf(c_15535,plain,
sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_15528,c_4939,c_15397]) ).
tcf(c_15536,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15527,c_4939,c_15397]) ).
tcf(c_15543,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xp,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_14616,c_68]) ).
tcf(c_15544,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xp,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_14616,c_67]) ).
tcf(c_15545,plain,
( sdtlseqdt0(xn,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_14616,c_143]) ).
tcf(c_15546,plain,
( aNaturalNumber0(sdtpldt0(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_14616,c_77]) ).
tcf(c_15547,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(X0,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_14616,c_63]) ).
tcf(c_15548,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_14616,c_69]) ).
tcf(c_15549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(xn,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_14616,c_61]) ).
tcf(c_15550,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_14616,c_78]) ).
tcf(c_15551,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_14616,c_70]) ).
tcf(c_15552,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xp,xn))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_14616,c_61]) ).
tcf(c_15553,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_14616,c_63]) ).
tcf(c_15554,plain,
aNaturalNumber0(sdtpldt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_15546,c_3837,c_51]) ).
tcf(c_15555,plain,
sdtlseqdt0(xn,sdtpldt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_15545,c_3837,c_51]) ).
tcf(c_15556,plain,
( ( xn = sz00 )
| ( sdtpldt0(xp,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15544,c_3837,c_51]) ).
tcf(c_15559,plain,
( ( sz00 = xp )
| ( sdtpldt0(xp,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15543,c_3837,c_51]) ).
tcf(c_15562,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15551,c_3837,c_51]) ).
tcf(c_15566,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15550,c_3837,c_51]) ).
tcf(c_15571,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15548,c_3837,c_51]) ).
tcf(c_15575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15553,c_3837,c_51]) ).
tcf(c_15580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xp,xn))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15552,c_3837,c_51]) ).
tcf(c_15585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(xn,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15549,c_3837,c_51]) ).
tcf(c_15590,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(X0,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15547,c_3837,c_51]) ).
tcf(c_15601,plain,
sdtasdt0(sdtpldt0(xp,xn),xl) = sdtasdt0(xl,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_15554,c_3094]) ).
tcf(c_15602,plain,
sdtpldt0(sdtpldt0(xp,xn),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_15554,c_2815]) ).
tcf(c_15603,plain,
sdtpldt0(sdtpldt0(xp,xn),xn) = sdtpldt0(xn,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_15554,c_2811]) ).
tcf(c_15604,plain,
sdtpldt0(sdtpldt0(xp,xn),xm) = sdtpldt0(xm,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_15554,c_2810]) ).
tcf(c_15605,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xp,xn),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xp,xn)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15554,c_72]) ).
tcf(c_15606,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xp,xn))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xp,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15554,c_71]) ).
tcf(c_15607,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xp,xn)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xp,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15554,c_105]) ).
tcf(c_15608,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xp,xn)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xp,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15554,c_75]) ).
tcf(c_15609,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,xn),X0),sdtpldt0(xp,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15554,c_153]) ).
tcf(c_15610,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xp,xn),X0),sdtpldt0(xp,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15554,c_146]) ).
tcf(c_15611,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xn),X0) = sdtasdt0(X0,sdtpldt0(xp,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15554,c_106]) ).
tcf(c_15612,plain,
sdtpldt0(sdtpldt0(xp,xn),xl) = sdtpldt0(xl,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_15554,c_2809]) ).
tcf(c_15613,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xn),X0) = sdtpldt0(X0,sdtpldt0(xp,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15554,c_76]) ).
tcf(c_15614,plain,
sdtasdt0(sz00,sdtpldt0(xp,xn)) = sz00,
inference(superposition,[status(thm)],[c_15554,c_92]) ).
tcf(c_15615,plain,
sdtasdt0(sdtpldt0(xp,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_15554,c_91]) ).
tcf(c_15616,plain,
sdtpldt0(sz00,sdtpldt0(xp,xn)) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_15554,c_74]) ).
tcf(c_15617,plain,
sdtpldt0(sdtpldt0(xp,xn),sz00) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_15554,c_73]) ).
tcf(c_15713,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15555,c_99]) ).
tcf(c_15714,plain,
( ( sdtpldt0(xn,sdtmndt0(sdtpldt0(xp,xn),xn)) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15555,c_104]) ).
tcf(c_15715,plain,
( ( sdtpldt0(xp,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),xn) ),
inference(superposition,[status(thm)],[c_15555,c_100]) ).
tcf(c_15716,plain,
( ( sdtpldt0(xn,sK0(xn,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15555,c_66]) ).
tcf(c_15717,plain,
sdtpldt0(xn,sK0(xn,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_15716,c_51,c_15554]) ).
tcf(c_15718,plain,
( ( sdtpldt0(xp,xn) = xn )
| ~ sdtlseqdt0(sdtpldt0(xp,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15715,c_51,c_15554]) ).
tcf(c_15721,plain,
sdtpldt0(xn,sdtmndt0(sdtpldt0(xp,xn),xn)) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_15714,c_51,c_15554]) ).
tcf(c_15722,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15713,c_51,c_15554]) ).
tcf(c_15736,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_14617,c_68]) ).
tcf(c_15737,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_14617,c_67]) ).
tcf(c_15738,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_14617,c_143]) ).
tcf(c_15739,plain,
( aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_14617,c_77]) ).
tcf(c_15740,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(X0,xn))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_14617,c_63]) ).
tcf(c_15741,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_14617,c_69]) ).
tcf(c_15742,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(xq,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_14617,c_61]) ).
tcf(c_15743,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_14617,c_78]) ).
tcf(c_15744,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_14617,c_70]) ).
tcf(c_15745,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xn,xq))
| ( X0 = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_14617,c_61]) ).
tcf(c_15746,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_14617,c_63]) ).
tcf(c_15747,plain,
aNaturalNumber0(sdtpldt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_15739,c_4938,c_51]) ).
tcf(c_15748,plain,
sdtlseqdt0(xq,sdtpldt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_15738,c_4938,c_51]) ).
tcf(c_15749,plain,
( ( sz00 = xq )
| ( sdtpldt0(xn,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15737,c_4938,c_51]) ).
tcf(c_15752,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15736,c_4938,c_51]) ).
tcf(c_15755,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15744,c_4938,c_51]) ).
tcf(c_15759,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15743,c_4938,c_51]) ).
tcf(c_15764,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15741,c_4938,c_51]) ).
tcf(c_15768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15746,c_4938,c_51]) ).
tcf(c_15773,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xn,xq))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15745,c_4938,c_51]) ).
tcf(c_15778,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(xq,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15742,c_4938,c_51]) ).
tcf(c_15783,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(X0,xn))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15740,c_4938,c_51]) ).
tcf(c_15830,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sK0(xm,sdtpldt0(xl,xm))))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3494,c_63]) ).
tcf(c_15831,plain,
! [X0: $i] :
( ( sK0(xm,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(xm,X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_3494,c_69]) ).
tcf(c_15832,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,X0))
| ( sK0(xm,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK0(xm,sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_3494,c_61]) ).
tcf(c_15833,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sK0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3494,c_78]) ).
tcf(c_15834,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sK0(xm,sdtpldt0(xl,xm))) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_3494,c_70]) ).
tcf(c_15835,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xl,xm))
| ( sK0(xm,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sK0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3494,c_61]) ).
tcf(c_15836,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,sdtpldt0(xl,xm))),sdtpldt0(xl,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3494,c_63]) ).
tcf(c_15837,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sK0(xm,sdtpldt0(xl,xm))) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15834,c_50]) ).
tcf(c_15842,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sK0(xm,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15833,c_50]) ).
tcf(c_15848,plain,
! [X0: $i] :
( ( sK0(xm,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(xm,X0) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15831,c_50]) ).
tcf(c_15853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,sdtpldt0(xl,xm))),sdtpldt0(xl,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15836,c_50]) ).
tcf(c_15859,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sK0(xm,sdtpldt0(xl,xm))))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15830,c_50]) ).
tcf(c_15865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xl,xm))
| ( sK0(xm,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sK0(xm,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15835,c_50]) ).
tcf(c_15871,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,X0))
| ( sK0(xm,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK0(xm,sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15832,c_50]) ).
tcf(c_15884,plain,
sdtasdt0(sdtpldt0(xn,xq),xl) = sdtasdt0(xl,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_15747,c_3094]) ).
tcf(c_15885,plain,
sdtpldt0(sdtpldt0(xn,xq),sz00) = sdtpldt0(sz00,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_15747,c_2815]) ).
tcf(c_15886,plain,
sdtpldt0(sdtpldt0(xn,xq),xn) = sdtpldt0(xn,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_15747,c_2811]) ).
tcf(c_15887,plain,
sdtpldt0(sdtpldt0(xn,xq),xm) = sdtpldt0(xm,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_15747,c_2810]) ).
tcf(c_15888,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xn,xq),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xn,xq)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15747,c_72]) ).
tcf(c_15889,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xn,xq))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xn,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15747,c_71]) ).
tcf(c_15890,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xn,xq)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15747,c_105]) ).
tcf(c_15891,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,xq)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15747,c_75]) ).
tcf(c_15892,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,xq),X0),sdtpldt0(xn,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15747,c_153]) ).
tcf(c_15893,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xn,xq),X0),sdtpldt0(xn,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15747,c_146]) ).
tcf(c_15894,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xq),X0) = sdtasdt0(X0,sdtpldt0(xn,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15747,c_106]) ).
tcf(c_15895,plain,
sdtpldt0(sdtpldt0(xn,xq),xl) = sdtpldt0(xl,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_15747,c_2809]) ).
tcf(c_15896,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xq),X0) = sdtpldt0(X0,sdtpldt0(xn,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15747,c_76]) ).
tcf(c_15897,plain,
sdtasdt0(sz00,sdtpldt0(xn,xq)) = sz00,
inference(superposition,[status(thm)],[c_15747,c_92]) ).
tcf(c_15898,plain,
sdtasdt0(sdtpldt0(xn,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_15747,c_91]) ).
tcf(c_15899,plain,
sdtpldt0(sz00,sdtpldt0(xn,xq)) = sdtpldt0(xn,xq),
inference(superposition,[status(thm)],[c_15747,c_74]) ).
tcf(c_15900,plain,
sdtpldt0(sdtpldt0(xn,xq),sz00) = sdtpldt0(xn,xq),
inference(superposition,[status(thm)],[c_15747,c_73]) ).
tcf(c_15985,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_15748,c_99]) ).
tcf(c_15986,plain,
( ( sdtpldt0(xq,sdtmndt0(sdtpldt0(xn,xq),xq)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_15748,c_104]) ).
tcf(c_15987,plain,
( ( sdtpldt0(xn,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),xq) ),
inference(superposition,[status(thm)],[c_15748,c_100]) ).
tcf(c_15988,plain,
( ( sdtpldt0(xq,sK0(xq,sdtpldt0(xn,xq))) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_15748,c_66]) ).
tcf(c_15989,plain,
sdtpldt0(xq,sK0(xq,sdtpldt0(xn,xq))) = sdtpldt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_15988,c_4938,c_15747]) ).
tcf(c_15990,plain,
( ( sdtpldt0(xn,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15987,c_4938,c_15747]) ).
tcf(c_15993,plain,
sdtpldt0(xq,sdtmndt0(sdtpldt0(xn,xq),xq)) = sdtpldt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_15986,c_4938,c_15747]) ).
tcf(c_15994,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15985,c_4938,c_15747]) ).
tcf(c_16005,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,xn))
| ( xl = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_14843,c_87]) ).
tcf(c_16006,plain,
( sdtlseqdt0(xn,sdtasdt0(xl,xn))
| ( xl = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14843,c_83]) ).
tcf(c_16007,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xl,xn))
| ( xn = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_14843,c_85]) ).
tcf(c_16008,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_14843,c_90]) ).
tcf(c_16011,plain,
( ( xn = sz00 )
| ( xl = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ( sdtasdt0(xl,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_14843,c_88]) ).
tcf(c_16012,plain,
( doDivides0(xn,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14843,c_140]) ).
tcf(c_16013,plain,
( aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14843,c_107]) ).
tcf(c_16014,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_14843,c_87]) ).
tcf(c_16015,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_14843,c_89]) ).
tcf(c_16016,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_14843,c_85]) ).
tcf(c_16017,plain,
aNaturalNumber0(sdtasdt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_16013,c_51,c_49]) ).
tcf(c_16018,plain,
doDivides0(xn,sdtasdt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_16012,c_51,c_49]) ).
tcf(c_16019,plain,
sdtlseqdt0(xn,sdtasdt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_16006,c_54,c_51,c_49]) ).
tcf(c_16020,plain,
( ( xn = sz00 )
| ( sdtasdt0(xl,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16011,c_54,c_51,c_49]) ).
tcf(c_16023,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16015,c_51,c_49]) ).
tcf(c_16028,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16008,c_54,c_51,c_49]) ).
tcf(c_16032,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16016,c_51,c_49]) ).
tcf(c_16038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtasdt0(X0,xl))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16014,c_54,c_51,c_49]) ).
tcf(c_16043,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xl,xn))
| ( xn = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16007,c_51,c_49]) ).
tcf(c_16049,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16005,c_54,c_51,c_49]) ).
tcf(c_16081,plain,
sdtasdt0(sdtasdt0(xl,xn),xl) = sdtasdt0(xl,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_16017,c_3094]) ).
tcf(c_16082,plain,
sdtpldt0(sdtasdt0(xl,xn),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_16017,c_2815]) ).
tcf(c_16083,plain,
sdtpldt0(sdtasdt0(xl,xn),xn) = sdtpldt0(xn,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_16017,c_2811]) ).
tcf(c_16084,plain,
sdtpldt0(sdtasdt0(xl,xn),xm) = sdtpldt0(xm,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_16017,c_2810]) ).
tcf(c_16085,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xl,xn),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xl,xn)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16017,c_72]) ).
tcf(c_16086,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xl,xn))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16017,c_71]) ).
tcf(c_16087,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,xn)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16017,c_105]) ).
tcf(c_16088,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,xn)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16017,c_75]) ).
tcf(c_16089,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,xn),X0),sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16017,c_153]) ).
tcf(c_16090,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xl,xn),X0),sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16017,c_146]) ).
tcf(c_16091,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xn),X0) = sdtasdt0(X0,sdtasdt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16017,c_106]) ).
tcf(c_16092,plain,
sdtpldt0(sdtasdt0(xl,xn),xl) = sdtpldt0(xl,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_16017,c_2809]) ).
tcf(c_16093,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,xn),X0) = sdtpldt0(X0,sdtasdt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16017,c_76]) ).
tcf(c_16094,plain,
sdtasdt0(sz00,sdtasdt0(xl,xn)) = sz00,
inference(superposition,[status(thm)],[c_16017,c_92]) ).
tcf(c_16095,plain,
sdtasdt0(sdtasdt0(xl,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_16017,c_91]) ).
tcf(c_16096,plain,
sdtpldt0(sz00,sdtasdt0(xl,xn)) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_16017,c_74]) ).
tcf(c_16097,plain,
sdtpldt0(sdtasdt0(xl,xn),sz00) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_16017,c_73]) ).
tcf(c_16174,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16018,c_79]) ).
tcf(c_16175,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sdtasdt0(xl,xn),xn)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16018,c_96]) ).
tcf(c_16176,plain,
( ( sdtasdt0(xn,sK1(xn,sdtasdt0(xl,xn))) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16018,c_82]) ).
tcf(c_16177,plain,
sdtasdt0(xn,sK1(xn,sdtasdt0(xl,xn))) = sdtasdt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_16176,c_51,c_16017]) ).
tcf(c_16178,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16174,c_51,c_16017]) ).
tcf(c_16182,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sdtasdt0(xl,xn),xn)) = sdtasdt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16175,c_51,c_16017]) ).
tcf(c_16186,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16019,c_99]) ).
tcf(c_16187,plain,
( ( sdtpldt0(xn,sdtmndt0(sdtasdt0(xl,xn),xn)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16019,c_104]) ).
tcf(c_16188,plain,
( ( sdtasdt0(xl,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),xn) ),
inference(superposition,[status(thm)],[c_16019,c_100]) ).
tcf(c_16189,plain,
( ( sdtpldt0(xn,sK0(xn,sdtasdt0(xl,xn))) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16019,c_66]) ).
tcf(c_16190,plain,
sdtpldt0(xn,sK0(xn,sdtasdt0(xl,xn))) = sdtasdt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_16189,c_51,c_16017]) ).
tcf(c_16191,plain,
( ( sdtasdt0(xl,xn) = xn )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16188,c_51,c_16017]) ).
tcf(c_16194,plain,
sdtpldt0(xn,sdtmndt0(sdtasdt0(xl,xn),xn)) = sdtasdt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_16187,c_51,c_16017]) ).
tcf(c_16195,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16186,c_51,c_16017]) ).
tcf(c_16200,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,xr))
| ( xl = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_14854,c_87]) ).
tcf(c_16201,plain,
( sdtlseqdt0(xr,sdtasdt0(xl,xr))
| ( xl = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14854,c_83]) ).
tcf(c_16202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xl,xr))
| ( sz00 = xr )
| ( X0 = xl )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_14854,c_85]) ).
tcf(c_16203,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_14854,c_90]) ).
tcf(c_16206,plain,
( ( sz00 = xr )
| ( xl = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ( sdtasdt0(xl,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_14854,c_88]) ).
tcf(c_16207,plain,
( doDivides0(xr,sdtasdt0(xl,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14854,c_140]) ).
tcf(c_16208,plain,
( aNaturalNumber0(sdtasdt0(xl,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14854,c_107]) ).
tcf(c_16209,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xr),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_14854,c_87]) ).
tcf(c_16210,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xl )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_14854,c_89]) ).
tcf(c_16211,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xl )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_14854,c_85]) ).
tcf(c_16212,plain,
aNaturalNumber0(sdtasdt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_16208,c_4939,c_49]) ).
tcf(c_16213,plain,
doDivides0(xr,sdtasdt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_16207,c_4939,c_49]) ).
tcf(c_16214,plain,
sdtlseqdt0(xr,sdtasdt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_16201,c_54,c_4939,c_49]) ).
tcf(c_16215,plain,
( ( sz00 = xr )
| ( sdtasdt0(xl,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16206,c_54,c_4939,c_49]) ).
tcf(c_16218,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16210,c_4939,c_49]) ).
tcf(c_16223,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16203,c_54,c_4939,c_49]) ).
tcf(c_16227,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16211,c_4939,c_49]) ).
tcf(c_16233,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xr),sdtasdt0(X0,xl))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16209,c_54,c_4939,c_49]) ).
tcf(c_16238,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xl,xr))
| ( sz00 = xr )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16202,c_4939,c_49]) ).
tcf(c_16244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16200,c_54,c_4939,c_49]) ).
tcf(c_16276,plain,
sdtasdt0(sdtasdt0(xl,xr),xl) = sdtasdt0(xl,sdtasdt0(xl,xr)),
inference(superposition,[status(thm)],[c_16212,c_3094]) ).
tcf(c_16277,plain,
sdtpldt0(sdtasdt0(xl,xr),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xr)),
inference(superposition,[status(thm)],[c_16212,c_2815]) ).
tcf(c_16278,plain,
sdtpldt0(sdtasdt0(xl,xr),xn) = sdtpldt0(xn,sdtasdt0(xl,xr)),
inference(superposition,[status(thm)],[c_16212,c_2811]) ).
tcf(c_16279,plain,
sdtpldt0(sdtasdt0(xl,xr),xm) = sdtpldt0(xm,sdtasdt0(xl,xr)),
inference(superposition,[status(thm)],[c_16212,c_2810]) ).
tcf(c_16280,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xl,xr),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xl,xr)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16212,c_72]) ).
tcf(c_16281,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xl,xr))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xl,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16212,c_71]) ).
tcf(c_16282,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,xr)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xl,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16212,c_105]) ).
tcf(c_16283,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,xr)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xl,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16212,c_75]) ).
tcf(c_16284,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,xr),X0),sdtasdt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16212,c_153]) ).
tcf(c_16285,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xl,xr),X0),sdtasdt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16212,c_146]) ).
tcf(c_16286,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xr),X0) = sdtasdt0(X0,sdtasdt0(xl,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16212,c_106]) ).
tcf(c_16287,plain,
sdtpldt0(sdtasdt0(xl,xr),xl) = sdtpldt0(xl,sdtasdt0(xl,xr)),
inference(superposition,[status(thm)],[c_16212,c_2809]) ).
tcf(c_16288,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,xr),X0) = sdtpldt0(X0,sdtasdt0(xl,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16212,c_76]) ).
tcf(c_16289,plain,
sdtasdt0(sz00,sdtasdt0(xl,xr)) = sz00,
inference(superposition,[status(thm)],[c_16212,c_92]) ).
tcf(c_16290,plain,
sdtasdt0(sdtasdt0(xl,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_16212,c_91]) ).
tcf(c_16291,plain,
sdtpldt0(sz00,sdtasdt0(xl,xr)) = sdtasdt0(xl,xr),
inference(superposition,[status(thm)],[c_16212,c_74]) ).
tcf(c_16292,plain,
sdtpldt0(sdtasdt0(xl,xr),sz00) = sdtasdt0(xl,xr),
inference(superposition,[status(thm)],[c_16212,c_73]) ).
tcf(c_16374,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16213,c_79]) ).
tcf(c_16375,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xl,xr),xr)) = sdtasdt0(xl,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16213,c_96]) ).
tcf(c_16376,plain,
( ( sdtasdt0(xr,sK1(xr,sdtasdt0(xl,xr))) = sdtasdt0(xl,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16213,c_82]) ).
tcf(c_16377,plain,
sdtasdt0(xr,sK1(xr,sdtasdt0(xl,xr))) = sdtasdt0(xl,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_16376,c_4939,c_16212]) ).
tcf(c_16378,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16374,c_4939,c_16212]) ).
tcf(c_16382,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xl,xr),xr)) = sdtasdt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16375,c_4939,c_16212]) ).
tcf(c_16386,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16214,c_99]) ).
tcf(c_16387,plain,
( ( sdtpldt0(xr,sdtmndt0(sdtasdt0(xl,xr),xr)) = sdtasdt0(xl,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16214,c_104]) ).
tcf(c_16388,plain,
( ( sdtasdt0(xl,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ~ sdtlseqdt0(sdtasdt0(xl,xr),xr) ),
inference(superposition,[status(thm)],[c_16214,c_100]) ).
tcf(c_16389,plain,
( ( sdtpldt0(xr,sK0(xr,sdtasdt0(xl,xr))) = sdtasdt0(xl,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16214,c_66]) ).
tcf(c_16390,plain,
sdtpldt0(xr,sK0(xr,sdtasdt0(xl,xr))) = sdtasdt0(xl,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_16389,c_4939,c_16212]) ).
tcf(c_16391,plain,
( ( sdtasdt0(xl,xr) = xr )
| ~ sdtlseqdt0(sdtasdt0(xl,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16388,c_4939,c_16212]) ).
tcf(c_16394,plain,
sdtpldt0(xr,sdtmndt0(sdtasdt0(xl,xr),xr)) = sdtasdt0(xl,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_16387,c_4939,c_16212]) ).
tcf(c_16395,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16386,c_4939,c_16212]) ).
tcf(c_16422,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,xq))
| ( xl = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_14856,c_87]) ).
tcf(c_16423,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xq))
| ( xl = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14856,c_83]) ).
tcf(c_16424,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sdtasdt0(xl,xq))
| ( sz00 = xq )
| ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_14856,c_85]) ).
tcf(c_16425,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_14856,c_90]) ).
tcf(c_16428,plain,
( ( sz00 = xq )
| ( xl = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_14856,c_88]) ).
tcf(c_16429,plain,
( doDivides0(xq,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14856,c_140]) ).
tcf(c_16430,plain,
( aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14856,c_107]) ).
tcf(c_16431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_14856,c_87]) ).
tcf(c_16432,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_14856,c_89]) ).
tcf(c_16433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_14856,c_85]) ).
tcf(c_16434,plain,
aNaturalNumber0(sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_16430,c_4938,c_49]) ).
tcf(c_16435,plain,
doDivides0(xq,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_16429,c_4938,c_49]) ).
tcf(c_16436,plain,
sdtlseqdt0(xq,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_16423,c_54,c_4938,c_49]) ).
tcf(c_16437,plain,
( ( sz00 = xq )
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16428,c_54,c_4938,c_49]) ).
tcf(c_16440,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16432,c_4938,c_49]) ).
tcf(c_16445,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16425,c_54,c_4938,c_49]) ).
tcf(c_16449,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16433,c_4938,c_49]) ).
tcf(c_16455,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(X0,xl))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16431,c_54,c_4938,c_49]) ).
tcf(c_16460,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sdtasdt0(xl,xq))
| ( sz00 = xq )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16424,c_4938,c_49]) ).
tcf(c_16466,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16422,c_54,c_4938,c_49]) ).
tcf(c_16497,plain,
sdtasdt0(sdtasdt0(xl,xq),xl) = sdtasdt0(xl,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_16434,c_3094]) ).
tcf(c_16498,plain,
sdtpldt0(sdtasdt0(xl,xq),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_16434,c_2815]) ).
tcf(c_16499,plain,
sdtpldt0(sdtasdt0(xl,xq),xn) = sdtpldt0(xn,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_16434,c_2811]) ).
tcf(c_16500,plain,
sdtpldt0(sdtasdt0(xl,xq),xm) = sdtpldt0(xm,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_16434,c_2810]) ).
tcf(c_16501,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_16434,c_72]) ).
tcf(c_16502,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_16434,c_71]) ).
tcf(c_16503,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_16434,c_105]) ).
tcf(c_16504,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_16434,c_75]) ).
tcf(c_16505,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,xq),X0),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16434,c_153]) ).
tcf(c_16506,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xl,xq),X0),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16434,c_146]) ).
tcf(c_16507,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xq),X0) = sdtasdt0(X0,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16434,c_106]) ).
tcf(c_16508,plain,
sdtpldt0(sdtasdt0(xl,xq),xl) = sdtpldt0(xl,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_16434,c_2809]) ).
tcf(c_16509,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,xq),X0) = sdtpldt0(X0,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16434,c_76]) ).
tcf(c_16510,plain,
sdtasdt0(sz00,sdtasdt0(xl,xq)) = sz00,
inference(superposition,[status(thm)],[c_16434,c_92]) ).
tcf(c_16511,plain,
sdtasdt0(sdtasdt0(xl,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_16434,c_91]) ).
tcf(c_16512,plain,
sdtpldt0(sz00,sdtasdt0(xl,xq)) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_16434,c_74]) ).
tcf(c_16513,plain,
sdtpldt0(sdtasdt0(xl,xq),sz00) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_16434,c_73]) ).
tcf(c_16604,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16435,c_79]) ).
tcf(c_16605,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xl,xq),xq)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16435,c_96]) ).
tcf(c_16606,plain,
( ( sdtasdt0(xq,sK1(xq,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16435,c_82]) ).
tcf(c_16607,plain,
sdtasdt0(xq,sK1(xq,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_16606,c_4938,c_16434]) ).
tcf(c_16608,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16604,c_4938,c_16434]) ).
tcf(c_16612,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xl,xq),xq)) = sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16605,c_4938,c_16434]) ).
tcf(c_16616,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16436,c_99]) ).
tcf(c_16617,plain,
( ( sdtpldt0(xq,sdtmndt0(sdtasdt0(xl,xq),xq)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16436,c_104]) ).
tcf(c_16618,plain,
( ( sdtasdt0(xl,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xq) ),
inference(superposition,[status(thm)],[c_16436,c_100]) ).
tcf(c_16619,plain,
( ( sdtpldt0(xq,sK0(xq,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16436,c_66]) ).
tcf(c_16620,plain,
sdtpldt0(xq,sK0(xq,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_16619,c_4938,c_16434]) ).
tcf(c_16621,plain,
( ( sdtasdt0(xl,xq) = xq )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16618,c_4938,c_16434]) ).
tcf(c_16624,plain,
sdtpldt0(xq,sdtmndt0(sdtasdt0(xl,xq),xq)) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_16617,c_4938,c_16434]) ).
tcf(c_16625,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16616,c_4938,c_16434]) ).
tcf(c_16647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xm)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15100,c_87]) ).
tcf(c_16650,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(X0,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15100,c_90]) ).
tcf(c_16656,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,xm)))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15100,c_87]) ).
tcf(c_16659,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16650,c_93,c_15012]) ).
tcf(c_16664,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,xm)))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16656,c_93,c_15012]) ).
tcf(c_16670,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xm)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16647,c_93,c_15012]) ).
tcf(c_16678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15101,c_85]) ).
tcf(c_16683,plain,
( doDivides0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15101,c_140]) ).
tcf(c_16686,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(sdtasdt0(xl,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15101,c_89]) ).
tcf(c_16687,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xm),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15101,c_85]) ).
tcf(c_16688,plain,
doDivides0(sdtasdt0(xl,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_16683,c_93,c_15012]) ).
tcf(c_16689,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16686,c_93,c_15012]) ).
tcf(c_16694,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xm),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16687,c_93,c_15012]) ).
tcf(c_16700,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16678,c_93,c_15012]) ).
tcf(c_16809,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3495,c_63]) ).
tcf(c_16810,plain,
! [X0: $i] :
( ( sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_3495,c_69]) ).
tcf(c_16811,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_3495,c_61]) ).
tcf(c_16813,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_3495,c_70]) ).
tcf(c_16814,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,xm))
| ( sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3495,c_61]) ).
tcf(c_16815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))),sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_3495,c_63]) ).
tcf(c_16816,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16813,c_2931]) ).
tcf(c_16821,plain,
! [X0: $i] :
( ( sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16810,c_2931]) ).
tcf(c_16826,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))),sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16815,c_2931]) ).
tcf(c_16832,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16809,c_2931]) ).
tcf(c_16838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,xm))
| ( sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16814,c_2931]) ).
tcf(c_16844,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16811,c_2931]) ).
tcf(c_16855,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ doDivides0(X0,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_16688,c_79]) ).
tcf(c_16856,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(sz00,sdtasdt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_16688,c_96]) ).
tcf(c_16857,plain,
( ( sdtasdt0(sdtasdt0(xl,xm),sK1(sdtasdt0(xl,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_16688,c_82]) ).
tcf(c_16858,plain,
sdtasdt0(sdtasdt0(xl,xm),sK1(sdtasdt0(xl,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_16857,c_93,c_15012]) ).
tcf(c_16859,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16855,c_93,c_15012]) ).
tcf(c_16863,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(sz00,sdtasdt0(xl,xm))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16856,c_93,c_15012]) ).
tcf(c_16866,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xp,xm)),xm)
| ( X0 = xp )
| ( sK1(xp,xm) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,xm)) ),
inference(superposition,[status(thm)],[c_15362,c_87]) ).
tcf(c_16868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xm)
| ( sz00 = xp )
| ( sK1(xp,xm) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xm))
| ~ sdtlseqdt0(X0,sK1(xp,xm)) ),
inference(superposition,[status(thm)],[c_15362,c_85]) ).
tcf(c_16869,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK1(xp,xm) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xm))
| ( sdtasdt0(X0,sK1(xp,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_15362,c_90]) ).
tcf(c_16872,plain,
( ( sz00 = xp )
| ( sK1(xp,xm) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1(xp,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_15362,c_88]) ).
tcf(c_16875,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK1(xp,xm)))
| ( X0 = xp )
| ( sK1(xp,xm) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK1(xp,xm)) ),
inference(superposition,[status(thm)],[c_15362,c_87]) ).
tcf(c_16876,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK1(xp,xm) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xm))
| ( sdtasdt0(xp,X0) != xm ) ),
inference(superposition,[status(thm)],[c_15362,c_89]) ).
tcf(c_16877,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sK1(xp,xm) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xm))
| ~ sdtlseqdt0(sK1(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_15362,c_85]) ).
tcf(c_16878,plain,
( ( sz00 = xp )
| ( sK1(xp,xm) = sz00 )
| ~ aNaturalNumber0(sK1(xp,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16872,c_3837]) ).
tcf(c_16883,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK1(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xm))
| ( sdtasdt0(xp,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16876,c_3837]) ).
tcf(c_16889,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK1(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xm))
| ( sdtasdt0(X0,sK1(xp,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16869,c_3837]) ).
tcf(c_16895,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sK1(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xm))
| ~ sdtlseqdt0(sK1(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16877,c_3837]) ).
tcf(c_16902,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK1(xp,xm)))
| ( X0 = xp )
| ( sK1(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK1(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16875,c_3837]) ).
tcf(c_16909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xm)
| ( sz00 = xp )
| ( sK1(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xm))
| ~ sdtlseqdt0(X0,sK1(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16868,c_3837]) ).
tcf(c_16916,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xp,xm)),xm)
| ( X0 = xp )
| ( sK1(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16866,c_3837]) ).
tcf(c_16970,plain,
( ( sK0(xp,xm) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0(xp,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_15375,c_68]) ).
tcf(c_16971,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0(xp,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_15375,c_67]) ).
tcf(c_16974,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(xp,xm)))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,xm)) ),
inference(superposition,[status(thm)],[c_15375,c_63]) ).
tcf(c_16975,plain,
! [X0: $i] :
( ( sK0(xp,xm) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xm))
| ( sdtpldt0(xp,X0) != xm ) ),
inference(superposition,[status(thm)],[c_15375,c_69]) ).
tcf(c_16976,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xp,X0))
| ( sK0(xp,xm) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xm))
| ~ sdtlseqdt0(sK0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_15375,c_61]) ).
tcf(c_16977,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xm))
| ~ doDivides0(X0,sK0(xp,xm)) ),
inference(superposition,[status(thm)],[c_15375,c_78]) ).
tcf(c_16978,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xm))
| ( sdtpldt0(X0,sK0(xp,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_15375,c_70]) ).
tcf(c_16979,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xm)
| ( sK0(xp,xm) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xm))
| ~ sdtlseqdt0(X0,sK0(xp,xm)) ),
inference(superposition,[status(thm)],[c_15375,c_61]) ).
tcf(c_16980,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,xm)),xm)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xm)) ),
inference(superposition,[status(thm)],[c_15375,c_63]) ).
tcf(c_16981,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(sK0(xp,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16971,c_3837]) ).
tcf(c_16985,plain,
( ( sK0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sK0(xp,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16970,c_3837]) ).
tcf(c_16989,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xm))
| ( sdtpldt0(X0,sK0(xp,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16978,c_3837]) ).
tcf(c_16995,plain,
! [X0: $i] :
( ( sK0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xm))
| ( sdtpldt0(xp,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16975,c_3837]) ).
tcf(c_17000,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,xm)),xm)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16980,c_3837]) ).
tcf(c_17006,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(xp,xm)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16974,c_3837]) ).
tcf(c_17012,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xm)
| ( sK0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xm))
| ~ sdtlseqdt0(X0,sK0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16979,c_3837]) ).
tcf(c_17018,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xp,X0))
| ( sK0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xm))
| ~ sdtlseqdt0(sK0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16976,c_3837]) ).
tcf(c_17038,plain,
( ( sdtmndt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtmndt0(xm,xp))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_15379,c_68]) ).
tcf(c_17039,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtmndt0(xm,xp))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_15379,c_67]) ).
tcf(c_17042,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_15379,c_63]) ).
tcf(c_17043,plain,
! [X0: $i] :
( ( sdtmndt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xp))
| ( sdtpldt0(xp,X0) != xm ) ),
inference(superposition,[status(thm)],[c_15379,c_69]) ).
tcf(c_17044,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xp,X0))
| ( sdtmndt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xp))
| ~ sdtlseqdt0(sdtmndt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_15379,c_61]) ).
tcf(c_17045,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xm,xp))
| ~ doDivides0(X0,sdtmndt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_15379,c_78]) ).
tcf(c_17046,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xp))
| ( sdtpldt0(X0,sdtmndt0(xm,xp)) != xm ) ),
inference(superposition,[status(thm)],[c_15379,c_70]) ).
tcf(c_17047,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xm)
| ( sdtmndt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_15379,c_61]) ).
tcf(c_17048,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,xp)),xm)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_15379,c_63]) ).
tcf(c_17049,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(sdtmndt0(xm,xp))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17039,c_3837]) ).
tcf(c_17053,plain,
( ( sdtmndt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xm,xp))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17038,c_3837]) ).
tcf(c_17057,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xp))
| ( sdtpldt0(X0,sdtmndt0(xm,xp)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17046,c_3837]) ).
tcf(c_17063,plain,
! [X0: $i] :
( ( sdtmndt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xp))
| ( sdtpldt0(xp,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17043,c_3837]) ).
tcf(c_17068,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,xp)),xm)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17048,c_3837]) ).
tcf(c_17074,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17042,c_3837]) ).
tcf(c_17080,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xm)
| ( sdtmndt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17047,c_3837]) ).
tcf(c_17086,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xp,X0))
| ( sdtmndt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xp))
| ~ sdtlseqdt0(sdtmndt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17044,c_3837]) ).
tcf(c_17097,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15457,c_87]) ).
tcf(c_17100,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(X0,sdtpldt0(xn,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15457,c_90]) ).
tcf(c_17106,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15457,c_87]) ).
tcf(c_17109,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17100,c_93,c_15397]) ).
tcf(c_17114,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17106,c_93,c_15397]) ).
tcf(c_17120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17097,c_93,c_15397]) ).
tcf(c_17128,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15458,c_85]) ).
tcf(c_17133,plain,
( doDivides0(sdtpldt0(xn,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15458,c_140]) ).
tcf(c_17136,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15458,c_89]) ).
tcf(c_17137,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15458,c_85]) ).
tcf(c_17138,plain,
doDivides0(sdtpldt0(xn,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_17133,c_93,c_15397]) ).
tcf(c_17139,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17136,c_93,c_15397]) ).
tcf(c_17144,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17137,c_93,c_15397]) ).
tcf(c_17150,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17128,c_93,c_15397]) ).
tcf(c_17156,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_17138,c_79]) ).
tcf(c_17157,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xr),sdtsldt0(sz00,sdtpldt0(xn,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_17138,c_96]) ).
tcf(c_17158,plain,
( ( sdtasdt0(sdtpldt0(xn,xr),sK1(sdtpldt0(xn,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_17138,c_82]) ).
tcf(c_17159,plain,
sdtasdt0(sdtpldt0(xn,xr),sK1(sdtpldt0(xn,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17158,c_93,c_15397]) ).
tcf(c_17160,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17156,c_93,c_15397]) ).
tcf(c_17164,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xr),sdtsldt0(sz00,sdtpldt0(xn,xr))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17157,c_93,c_15397]) ).
tcf(c_17167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xn)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15614,c_87]) ).
tcf(c_17170,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtasdt0(X0,sdtpldt0(xp,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15614,c_90]) ).
tcf(c_17176,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xn)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15614,c_87]) ).
tcf(c_17179,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17170,c_93,c_15554]) ).
tcf(c_17184,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xn)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17176,c_93,c_15554]) ).
tcf(c_17190,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xn)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17167,c_93,c_15554]) ).
tcf(c_17238,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15615,c_85]) ).
tcf(c_17243,plain,
( doDivides0(sdtpldt0(xp,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15615,c_140]) ).
tcf(c_17246,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtasdt0(sdtpldt0(xp,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15615,c_89]) ).
tcf(c_17247,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xn),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15615,c_85]) ).
tcf(c_17248,plain,
doDivides0(sdtpldt0(xp,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_17243,c_93,c_15554]) ).
tcf(c_17249,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17246,c_93,c_15554]) ).
tcf(c_17254,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xn),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17247,c_93,c_15554]) ).
tcf(c_17260,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17238,c_93,c_15554]) ).
tcf(c_17266,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ doDivides0(X0,sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_17248,c_79]) ).
tcf(c_17267,plain,
( ( sdtpldt0(xp,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xn),sdtsldt0(sz00,sdtpldt0(xp,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_17248,c_96]) ).
tcf(c_17268,plain,
( ( sdtasdt0(sdtpldt0(xp,xn),sK1(sdtpldt0(xp,xn),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_17248,c_82]) ).
tcf(c_17269,plain,
sdtasdt0(sdtpldt0(xp,xn),sK1(sdtpldt0(xp,xn),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17268,c_93,c_15554]) ).
tcf(c_17270,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17266,c_93,c_15554]) ).
tcf(c_17274,plain,
( ( sdtpldt0(xp,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xn),sdtsldt0(sz00,sdtpldt0(xp,xn))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17267,c_93,c_15554]) ).
tcf(c_17277,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xq)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_15897,c_87]) ).
tcf(c_17280,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ( sdtasdt0(X0,sdtpldt0(xn,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15897,c_90]) ).
tcf(c_17286,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xq)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_15897,c_87]) ).
tcf(c_17289,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17280,c_93,c_15747]) ).
tcf(c_17294,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xq)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17286,c_93,c_15747]) ).
tcf(c_17300,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xq)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17277,c_93,c_15747]) ).
tcf(c_17308,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_15898,c_85]) ).
tcf(c_17313,plain,
( doDivides0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_15898,c_140]) ).
tcf(c_17316,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ( sdtasdt0(sdtpldt0(xn,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15898,c_89]) ).
tcf(c_17317,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xq),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_15898,c_85]) ).
tcf(c_17318,plain,
doDivides0(sdtpldt0(xn,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_17313,c_93,c_15747]) ).
tcf(c_17319,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17316,c_93,c_15747]) ).
tcf(c_17324,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xq),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17317,c_93,c_15747]) ).
tcf(c_17330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17308,c_93,c_15747]) ).
tcf(c_17336,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ doDivides0(X0,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_17318,c_79]) ).
tcf(c_17337,plain,
( ( sdtpldt0(xn,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xq),sdtsldt0(sz00,sdtpldt0(xn,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_17318,c_96]) ).
tcf(c_17338,plain,
( ( sdtasdt0(sdtpldt0(xn,xq),sK1(sdtpldt0(xn,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_17318,c_82]) ).
tcf(c_17339,plain,
sdtasdt0(sdtpldt0(xn,xq),sK1(sdtpldt0(xn,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17338,c_93,c_15747]) ).
tcf(c_17340,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17336,c_93,c_15747]) ).
tcf(c_17344,plain,
( ( sdtpldt0(xn,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xq),sdtsldt0(sz00,sdtpldt0(xn,xq))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17337,c_93,c_15747]) ).
tcf(c_17347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xn)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16094,c_87]) ).
tcf(c_17350,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(X0,sdtasdt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_16094,c_90]) ).
tcf(c_17356,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,xn)))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16094,c_87]) ).
tcf(c_17359,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17350,c_93,c_16017]) ).
tcf(c_17364,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,xn)))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17356,c_93,c_16017]) ).
tcf(c_17370,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xn)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17347,c_93,c_16017]) ).
tcf(c_17378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16095,c_85]) ).
tcf(c_17383,plain,
( doDivides0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16095,c_140]) ).
tcf(c_17386,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(sdtasdt0(xl,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16095,c_89]) ).
tcf(c_17387,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xn),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16095,c_85]) ).
tcf(c_17388,plain,
doDivides0(sdtasdt0(xl,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_17383,c_93,c_16017]) ).
tcf(c_17389,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17386,c_93,c_16017]) ).
tcf(c_17394,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xn),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17387,c_93,c_16017]) ).
tcf(c_17400,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17378,c_93,c_16017]) ).
tcf(c_17598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_3505,c_63]) ).
tcf(c_17599,plain,
! [X0: $i] :
( ( sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_3505,c_69]) ).
tcf(c_17600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(superposition,[status(thm)],[c_3505,c_61]) ).
tcf(c_17601,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ doDivides0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_3505,c_78]) ).
tcf(c_17602,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_3505,c_70]) ).
tcf(c_17603,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_3505,c_61]) ).
tcf(c_17604,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_3505,c_63]) ).
tcf(c_17605,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17602,c_2931]) ).
tcf(c_17610,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ doDivides0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17601,c_2931]) ).
tcf(c_17616,plain,
! [X0: $i] :
( ( sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17599,c_2931]) ).
tcf(c_17621,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17604,c_2931]) ).
tcf(c_17627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17598,c_2931]) ).
tcf(c_17633,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17603,c_2931]) ).
tcf(c_17639,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sK0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17600,c_2931]) ).
tcf(c_17651,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ doDivides0(X0,sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_17388,c_79]) ).
tcf(c_17652,plain,
( ( sdtasdt0(xl,xn) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(sz00,sdtasdt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_17388,c_96]) ).
tcf(c_17653,plain,
( ( sdtasdt0(sdtasdt0(xl,xn),sK1(sdtasdt0(xl,xn),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_17388,c_82]) ).
tcf(c_17654,plain,
sdtasdt0(sdtasdt0(xl,xn),sK1(sdtasdt0(xl,xn),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17653,c_93,c_16017]) ).
tcf(c_17655,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17651,c_93,c_16017]) ).
tcf(c_17659,plain,
( ( sdtasdt0(xl,xn) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(sz00,sdtasdt0(xl,xn))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17652,c_93,c_16017]) ).
tcf(c_17662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16289,c_87]) ).
tcf(c_17665,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ( sdtasdt0(X0,sdtasdt0(xl,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_16289,c_90]) ).
tcf(c_17671,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16289,c_87]) ).
tcf(c_17674,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17665,c_93,c_16212]) ).
tcf(c_17679,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17671,c_93,c_16212]) ).
tcf(c_17685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17662,c_93,c_16212]) ).
tcf(c_17699,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16290,c_85]) ).
tcf(c_17704,plain,
( doDivides0(sdtasdt0(xl,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16290,c_140]) ).
tcf(c_17707,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ( sdtasdt0(sdtasdt0(xl,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16290,c_89]) ).
tcf(c_17708,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16290,c_85]) ).
tcf(c_17709,plain,
doDivides0(sdtasdt0(xl,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_17704,c_93,c_16212]) ).
tcf(c_17710,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17707,c_93,c_16212]) ).
tcf(c_17715,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17708,c_93,c_16212]) ).
tcf(c_17721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17699,c_93,c_16212]) ).
tcf(c_17736,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ~ doDivides0(X0,sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_17709,c_79]) ).
tcf(c_17737,plain,
( ( sdtasdt0(xl,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,xr),sdtsldt0(sz00,sdtasdt0(xl,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_17709,c_96]) ).
tcf(c_17738,plain,
( ( sdtasdt0(sdtasdt0(xl,xr),sK1(sdtasdt0(xl,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_17709,c_82]) ).
tcf(c_17739,plain,
sdtasdt0(sdtasdt0(xl,xr),sK1(sdtasdt0(xl,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17738,c_93,c_16212]) ).
tcf(c_17740,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17736,c_93,c_16212]) ).
tcf(c_17744,plain,
( ( sdtasdt0(xl,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,xr),sdtsldt0(sz00,sdtasdt0(xl,xr))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17737,c_93,c_16212]) ).
tcf(c_17753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16510,c_87]) ).
tcf(c_17756,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtasdt0(X0,sdtasdt0(xl,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_16510,c_90]) ).
tcf(c_17762,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16510,c_87]) ).
tcf(c_17765,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17756,c_93,c_16434]) ).
tcf(c_17770,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17762,c_93,c_16434]) ).
tcf(c_17776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17753,c_93,c_16434]) ).
tcf(c_17828,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16511,c_85]) ).
tcf(c_17833,plain,
( doDivides0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16511,c_140]) ).
tcf(c_17836,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtasdt0(sdtasdt0(xl,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16511,c_89]) ).
tcf(c_17837,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16511,c_85]) ).
tcf(c_17838,plain,
doDivides0(sdtasdt0(xl,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_17833,c_93,c_16434]) ).
tcf(c_17839,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17836,c_93,c_16434]) ).
tcf(c_17844,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17837,c_93,c_16434]) ).
tcf(c_17850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17828,c_93,c_16434]) ).
tcf(c_17856,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ doDivides0(X0,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17838,c_79]) ).
tcf(c_17857,plain,
( ( sdtasdt0(xl,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,xq),sdtsldt0(sz00,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17838,c_96]) ).
tcf(c_17858,plain,
( ( sdtasdt0(sdtasdt0(xl,xq),sK1(sdtasdt0(xl,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17838,c_82]) ).
tcf(c_17859,plain,
sdtasdt0(sdtasdt0(xl,xq),sK1(sdtasdt0(xl,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17858,c_93,c_16434]) ).
tcf(c_17860,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17856,c_93,c_16434]) ).
tcf(c_17864,plain,
( ( sdtasdt0(xl,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,xq),sdtsldt0(sz00,sdtasdt0(xl,xq))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17857,c_93,c_16434]) ).
tcf(c_17871,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15102,c_143]) ).
tcf(c_17873,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(X0,sdtasdt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15102,c_63]) ).
tcf(c_17874,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_15102,c_69]) ).
tcf(c_17875,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(sz00,X0))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_15102,c_61]) ).
tcf(c_17877,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(X0,sdtasdt0(xl,xm)) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_15102,c_70]) ).
tcf(c_17878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15102,c_61]) ).
tcf(c_17879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xm)),sdtasdt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15102,c_63]) ).
tcf(c_17880,plain,
sdtlseqdt0(sz00,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_17871,c_93,c_15012]) ).
tcf(c_17881,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xl,xm)) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17877,c_93,c_15012]) ).
tcf(c_17885,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17874,c_93,c_15012]) ).
tcf(c_17889,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xm)),sdtasdt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17879,c_93,c_15012]) ).
tcf(c_17894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(X0,sdtasdt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17873,c_93,c_15012]) ).
tcf(c_17899,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17878,c_93,c_15012]) ).
tcf(c_17904,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(sz00,X0))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17875,c_93,c_15012]) ).
tcf(c_17912,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_17880,c_99]) ).
tcf(c_17913,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xl,xm),sz00)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_17880,c_104]) ).
tcf(c_17914,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_17880,c_100]) ).
tcf(c_17915,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_17880,c_66]) ).
tcf(c_17916,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_17915,c_93,c_15012]) ).
tcf(c_17917,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17914,c_93,c_15012]) ).
tcf(c_17920,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xl,xm),sz00)) = sdtasdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_17913,c_93,c_15012]) ).
tcf(c_17921,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17912,c_93,c_15012]) ).
tcf(c_17929,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15103,c_143]) ).
tcf(c_17931,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(X0,sz00))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_15103,c_63]) ).
tcf(c_17932,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),X0) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_15103,c_69]) ).
tcf(c_17933,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(sdtasdt0(xl,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15103,c_61]) ).
tcf(c_17935,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_15103,c_70]) ).
tcf(c_17936,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xm),X0),sdtasdt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15103,c_61]) ).
tcf(c_17937,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15103,c_63]) ).
tcf(c_17938,plain,
sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_17929,c_93,c_15012]) ).
tcf(c_17939,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17935,c_93,c_15012]) ).
tcf(c_17943,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xl,xm),X0) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17932,c_93,c_15012]) ).
tcf(c_17947,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xm),X0),sdtasdt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17936,c_93,c_15012]) ).
tcf(c_17952,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(sdtasdt0(xl,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17933,c_93,c_15012]) ).
tcf(c_17957,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17937,c_93,c_15012]) ).
tcf(c_17962,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(X0,sz00))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17931,c_93,c_15012]) ).
tcf(c_17968,plain,
( ( sdtpldt0(sdtasdt0(xl,xm),sdtmndt0(sdtasdt0(xl,xm),sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_17938,c_104]) ).
tcf(c_17970,plain,
( ( sdtpldt0(sdtasdt0(xl,xm),sK0(sdtasdt0(xl,xm),sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_17938,c_66]) ).
tcf(c_17971,plain,
sdtpldt0(sdtasdt0(xl,xm),sK0(sdtasdt0(xl,xm),sdtasdt0(xl,xm))) = sdtasdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_17970,c_15012]) ).
tcf(c_17972,plain,
sdtpldt0(sdtasdt0(xl,xm),sdtmndt0(sdtasdt0(xl,xm),sdtasdt0(xl,xm))) = sdtasdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_17968,c_15012]) ).
tcf(c_17987,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_15380]) ).
tcf(c_17997,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17987,c_3837]) ).
tcf(c_18007,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_17997,c_99]) ).
tcf(c_18008,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xp,sdtmndt0(X0,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17997,c_104]) ).
tcf(c_18009,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_17997,c_100]) ).
tcf(c_18010,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xp,sK0(xp,X0)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17997,c_66]) ).
tcf(c_18019,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xp,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_17997,c_99]) ).
tcf(c_18020,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( sdtpldt0(X0,sdtmndt0(xm,X0)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17997,c_104]) ).
tcf(c_18021,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_17997,c_100]) ).
tcf(c_18022,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( sdtpldt0(X0,sK0(X0,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17997,c_66]) ).
tcf(c_18023,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( sdtpldt0(X0,sK0(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18022,c_50]) ).
tcf(c_18027,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18021,c_50]) ).
tcf(c_18032,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( sdtpldt0(X0,sdtmndt0(xm,X0)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18020,c_50]) ).
tcf(c_18036,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xp,sK0(xp,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18010,c_3837]) ).
tcf(c_18040,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18009,c_3837]) ).
tcf(c_18045,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xp,sdtmndt0(X0,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18008,c_3837]) ).
tcf(c_18049,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xp,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18019,c_50]) ).
tcf(c_18055,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18007,c_3837]) ).
tcf(c_18099,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15459,c_143]) ).
tcf(c_18101,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15459,c_63]) ).
tcf(c_18102,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_15459,c_69]) ).
tcf(c_18103,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_15459,c_61]) ).
tcf(c_18105,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(X0,sdtpldt0(xn,xr)) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_15459,c_70]) ).
tcf(c_18106,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15459,c_61]) ).
tcf(c_18107,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15459,c_63]) ).
tcf(c_18108,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_18099,c_93,c_15397]) ).
tcf(c_18109,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,xr)) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18105,c_93,c_15397]) ).
tcf(c_18113,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18102,c_93,c_15397]) ).
tcf(c_18117,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18107,c_93,c_15397]) ).
tcf(c_18122,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18101,c_93,c_15397]) ).
tcf(c_18127,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18106,c_93,c_15397]) ).
tcf(c_18132,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18103,c_93,c_15397]) ).
tcf(c_18216,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18108,c_99]) ).
tcf(c_18217,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xn,xr),sz00)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18108,c_104]) ).
tcf(c_18218,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),sz00) ),
inference(superposition,[status(thm)],[c_18108,c_100]) ).
tcf(c_18219,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18108,c_66]) ).
tcf(c_18220,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_18219,c_93,c_15397]) ).
tcf(c_18221,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xn,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18218,c_93,c_15397]) ).
tcf(c_18224,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xn,xr),sz00)) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_18217,c_93,c_15397]) ).
tcf(c_18225,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18216,c_93,c_15397]) ).
tcf(c_18229,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xl,xn),sz00)),sz00)
| ( sdtpldt0(xl,xn) = X0 )
| ( sK1(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xn),sz00)) ),
inference(superposition,[status(thm)],[c_3547,c_87]) ).
tcf(c_18230,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sz00)
| ( sK1(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xn),sz00)) ),
inference(superposition,[status(thm)],[c_3547,c_83]) ).
tcf(c_18231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sz00)
| ( sdtpldt0(xl,xn) = sz00 )
| ( sK1(sdtpldt0(xl,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xn),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xl,xn),sz00)) ),
inference(superposition,[status(thm)],[c_3547,c_85]) ).
tcf(c_18232,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ( sK1(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xn),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xl,xn),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3547,c_90]) ).
tcf(c_18235,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ( sK1(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xn),sz00)) ),
inference(superposition,[status(thm)],[c_3547,c_88]) ).
tcf(c_18238,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xl,xn),sz00)))
| ( sdtpldt0(xl,xn) = X0 )
| ( sK1(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xn),sz00)) ),
inference(superposition,[status(thm)],[c_3547,c_87]) ).
tcf(c_18239,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = sz00 )
| ( sK1(sdtpldt0(xl,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xn),sz00))
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3547,c_89]) ).
tcf(c_18240,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0))
| ( sdtpldt0(xl,xn) = sz00 )
| ( sK1(sdtpldt0(xl,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xn),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xl,xn),sz00),X0) ),
inference(superposition,[status(thm)],[c_3547,c_85]) ).
tcf(c_18241,plain,
( ( sK1(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18230,c_4300,c_2971]) ).
tcf(c_18245,plain,
! [X0: $i] :
( ( sK1(sdtpldt0(xl,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xn),sz00))
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18239,c_3441,c_2971]) ).
tcf(c_18250,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ( sK1(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xn),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xl,xn),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18232,c_2971]) ).
tcf(c_18256,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0))
| ( sK1(sdtpldt0(xl,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xn),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xl,xn),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18240,c_3441,c_2971]) ).
tcf(c_18262,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xl,xn),sz00)))
| ( sdtpldt0(xl,xn) = X0 )
| ( sK1(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18238,c_2971]) ).
tcf(c_18269,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sz00)
| ( sK1(sdtpldt0(xl,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xn),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xl,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18231,c_3441,c_2971]) ).
tcf(c_18275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xl,xn),sz00)),sz00)
| ( sdtpldt0(xl,xn) = X0 )
| ( sK1(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18229,c_2971]) ).
tcf(c_18286,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15460,c_143]) ).
tcf(c_18288,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_15460,c_63]) ).
tcf(c_18289,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_15460,c_69]) ).
tcf(c_18290,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15460,c_61]) ).
tcf(c_18292,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_15460,c_70]) ).
tcf(c_18293,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15460,c_61]) ).
tcf(c_18294,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15460,c_63]) ).
tcf(c_18295,plain,
sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_18286,c_93,c_15397]) ).
tcf(c_18296,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18292,c_93,c_15397]) ).
tcf(c_18300,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18289,c_93,c_15397]) ).
tcf(c_18304,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18293,c_93,c_15397]) ).
tcf(c_18309,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18290,c_93,c_15397]) ).
tcf(c_18314,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18294,c_93,c_15397]) ).
tcf(c_18319,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18288,c_93,c_15397]) ).
tcf(c_18325,plain,
( ( sdtpldt0(sdtpldt0(xn,xr),sdtmndt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18295,c_104]) ).
tcf(c_18327,plain,
( ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18295,c_66]) ).
tcf(c_18328,plain,
sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_18327,c_15397]) ).
tcf(c_18329,plain,
sdtpldt0(sdtpldt0(xn,xr),sdtmndt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_18325,c_15397]) ).
tcf(c_18334,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15616,c_143]) ).
tcf(c_18336,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(X0,sdtpldt0(xp,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15616,c_63]) ).
tcf(c_18337,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_15616,c_69]) ).
tcf(c_18338,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_15616,c_61]) ).
tcf(c_18340,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtpldt0(X0,sdtpldt0(xp,xn)) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_15616,c_70]) ).
tcf(c_18341,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15616,c_61]) ).
tcf(c_18342,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xn)),sdtpldt0(xp,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15616,c_63]) ).
tcf(c_18343,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_18334,c_93,c_15554]) ).
tcf(c_18344,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,xn)) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18340,c_93,c_15554]) ).
tcf(c_18348,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18337,c_93,c_15554]) ).
tcf(c_18352,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xn)),sdtpldt0(xp,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18342,c_93,c_15554]) ).
tcf(c_18357,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(X0,sdtpldt0(xp,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18336,c_93,c_15554]) ).
tcf(c_18362,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18341,c_93,c_15554]) ).
tcf(c_18367,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18338,c_93,c_15554]) ).
tcf(c_18375,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_18343,c_99]) ).
tcf(c_18376,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xp,xn),sz00)) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_18343,c_104]) ).
tcf(c_18377,plain,
( ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),sz00) ),
inference(superposition,[status(thm)],[c_18343,c_100]) ).
tcf(c_18378,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_18343,c_66]) ).
tcf(c_18379,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_18378,c_93,c_15554]) ).
tcf(c_18380,plain,
( ( sdtpldt0(xp,xn) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xp,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18377,c_93,c_15554]) ).
tcf(c_18383,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xp,xn),sz00)) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_18376,c_93,c_15554]) ).
tcf(c_18384,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18375,c_93,c_15554]) ).
tcf(c_18434,plain,
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15617,c_143]) ).
tcf(c_18436,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_15617,c_63]) ).
tcf(c_18437,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtpldt0(sdtpldt0(xp,xn),X0) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_15617,c_69]) ).
tcf(c_18438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(sdtpldt0(xp,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15617,c_61]) ).
tcf(c_18440,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_15617,c_70]) ).
tcf(c_18441,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xn),X0),sdtpldt0(xp,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15617,c_61]) ).
tcf(c_18442,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15617,c_63]) ).
tcf(c_18443,plain,
sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_18434,c_93,c_15554]) ).
tcf(c_18444,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18440,c_93,c_15554]) ).
tcf(c_18448,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,xn),X0) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18437,c_93,c_15554]) ).
tcf(c_18452,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xn),X0),sdtpldt0(xp,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18441,c_93,c_15554]) ).
tcf(c_18457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(sdtpldt0(xp,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18438,c_93,c_15554]) ).
tcf(c_18462,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18442,c_93,c_15554]) ).
tcf(c_18467,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18436,c_93,c_15554]) ).
tcf(c_18473,plain,
( ( sdtpldt0(sdtpldt0(xp,xn),sdtmndt0(sdtpldt0(xp,xn),sdtpldt0(xp,xn))) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_18443,c_104]) ).
tcf(c_18475,plain,
( ( sdtpldt0(sdtpldt0(xp,xn),sK0(sdtpldt0(xp,xn),sdtpldt0(xp,xn))) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_18443,c_66]) ).
tcf(c_18476,plain,
sdtpldt0(sdtpldt0(xp,xn),sK0(sdtpldt0(xp,xn),sdtpldt0(xp,xn))) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_18475,c_15554]) ).
tcf(c_18477,plain,
sdtpldt0(sdtpldt0(xp,xn),sdtmndt0(sdtpldt0(xp,xn),sdtpldt0(xp,xn))) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_18473,c_15554]) ).
tcf(c_18482,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_15899,c_143]) ).
tcf(c_18484,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(X0,sdtpldt0(xn,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_15899,c_63]) ).
tcf(c_18485,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_15899,c_69]) ).
tcf(c_18486,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),X0) ),
inference(superposition,[status(thm)],[c_15899,c_61]) ).
tcf(c_18488,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ( sdtpldt0(X0,sdtpldt0(xn,xq)) != sdtpldt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_15899,c_70]) ).
tcf(c_18489,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xq))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_15899,c_61]) ).
tcf(c_18490,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xq)),sdtpldt0(xn,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_15899,c_63]) ).
tcf(c_18491,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_18482,c_93,c_15747]) ).
tcf(c_18492,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,xq)) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18488,c_93,c_15747]) ).
tcf(c_18496,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18485,c_93,c_15747]) ).
tcf(c_18500,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xq)),sdtpldt0(xn,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18490,c_93,c_15747]) ).
tcf(c_18505,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(X0,sdtpldt0(xn,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18484,c_93,c_15747]) ).
tcf(c_18510,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xq))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18489,c_93,c_15747]) ).
tcf(c_18515,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18486,c_93,c_15747]) ).
tcf(c_18523,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_18491,c_99]) ).
tcf(c_18524,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xn,xq),sz00)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_18491,c_104]) ).
tcf(c_18525,plain,
( ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_18491,c_100]) ).
tcf(c_18526,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xn,xq))) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_18491,c_66]) ).
tcf(c_18527,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xn,xq))) = sdtpldt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_18526,c_93,c_15747]) ).
tcf(c_18528,plain,
( ( sdtpldt0(xn,xq) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18525,c_93,c_15747]) ).
tcf(c_18531,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xn,xq),sz00)) = sdtpldt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_18524,c_93,c_15747]) ).
tcf(c_18532,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18523,c_93,c_15747]) ).
tcf(c_18726,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_15900,c_143]) ).
tcf(c_18728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),X0) ),
inference(superposition,[status(thm)],[c_15900,c_63]) ).
tcf(c_18729,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ( sdtpldt0(sdtpldt0(xn,xq),X0) != sdtpldt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_15900,c_69]) ).
tcf(c_18730,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(sdtpldt0(xn,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_15900,c_61]) ).
tcf(c_18732,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_15900,c_70]) ).
tcf(c_18733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),X0),sdtpldt0(xn,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_15900,c_61]) ).
tcf(c_18734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xq))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_15900,c_63]) ).
tcf(c_18735,plain,
sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_18726,c_93,c_15747]) ).
tcf(c_18736,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18732,c_93,c_15747]) ).
tcf(c_18740,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xq),X0) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18729,c_93,c_15747]) ).
tcf(c_18744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),X0),sdtpldt0(xn,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18733,c_93,c_15747]) ).
tcf(c_18749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(sdtpldt0(xn,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18730,c_93,c_15747]) ).
tcf(c_18754,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xq))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18734,c_93,c_15747]) ).
tcf(c_18759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18728,c_93,c_15747]) ).
tcf(c_18765,plain,
( ( sdtpldt0(sdtpldt0(xn,xq),sdtmndt0(sdtpldt0(xn,xq),sdtpldt0(xn,xq))) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_18735,c_104]) ).
tcf(c_18767,plain,
( ( sdtpldt0(sdtpldt0(xn,xq),sK0(sdtpldt0(xn,xq),sdtpldt0(xn,xq))) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_18735,c_66]) ).
tcf(c_18768,plain,
sdtpldt0(sdtpldt0(xn,xq),sK0(sdtpldt0(xn,xq),sdtpldt0(xn,xq))) = sdtpldt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_18767,c_15747]) ).
tcf(c_18769,plain,
sdtpldt0(sdtpldt0(xn,xq),sdtmndt0(sdtpldt0(xn,xq),sdtpldt0(xn,xq))) = sdtpldt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_18765,c_15747]) ).
tcf(c_18774,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16096,c_143]) ).
tcf(c_18776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtpldt0(X0,sdtasdt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16096,c_63]) ).
tcf(c_18777,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_16096,c_69]) ).
tcf(c_18778,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtpldt0(sz00,X0))
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_16096,c_61]) ).
tcf(c_18780,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(X0,sdtasdt0(xl,xn)) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_16096,c_70]) ).
tcf(c_18781,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xn))
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16096,c_61]) ).
tcf(c_18782,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xn)),sdtasdt0(xl,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16096,c_63]) ).
tcf(c_18783,plain,
sdtlseqdt0(sz00,sdtasdt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_18774,c_93,c_16017]) ).
tcf(c_18784,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xl,xn)) != sdtasdt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18780,c_93,c_16017]) ).
tcf(c_18788,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18777,c_93,c_16017]) ).
tcf(c_18792,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xn)),sdtasdt0(xl,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18782,c_93,c_16017]) ).
tcf(c_18797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtpldt0(X0,sdtasdt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18776,c_93,c_16017]) ).
tcf(c_18802,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xn))
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18781,c_93,c_16017]) ).
tcf(c_18807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtpldt0(sz00,X0))
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18778,c_93,c_16017]) ).
tcf(c_18815,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_18783,c_99]) ).
tcf(c_18816,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xl,xn),sz00)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_18783,c_104]) ).
tcf(c_18817,plain,
( ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_18783,c_100]) ).
tcf(c_18818,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xl,xn))) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_18783,c_66]) ).
tcf(c_18819,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xl,xn))) = sdtasdt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_18818,c_93,c_16017]) ).
tcf(c_18820,plain,
( ( sdtasdt0(xl,xn) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18817,c_93,c_16017]) ).
tcf(c_18823,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xl,xn),sz00)) = sdtasdt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_18816,c_93,c_16017]) ).
tcf(c_18824,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18815,c_93,c_16017]) ).
tcf(c_18859,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16097,c_143]) ).
tcf(c_18861,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtpldt0(X0,sz00))
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_16097,c_63]) ).
tcf(c_18862,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),X0) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_16097,c_69]) ).
tcf(c_18863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtpldt0(sdtasdt0(xl,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16097,c_61]) ).
tcf(c_18865,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_16097,c_70]) ).
tcf(c_18866,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),X0),sdtasdt0(xl,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16097,c_61]) ).
tcf(c_18867,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xl,xn))
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_16097,c_63]) ).
tcf(c_18868,plain,
sdtlseqdt0(sdtasdt0(xl,xn),sdtasdt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_18859,c_93,c_16017]) ).
tcf(c_18869,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18865,c_93,c_16017]) ).
tcf(c_18873,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xl,xn),X0) != sdtasdt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18862,c_93,c_16017]) ).
tcf(c_18877,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),X0),sdtasdt0(xl,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18866,c_93,c_16017]) ).
tcf(c_18882,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtpldt0(sdtasdt0(xl,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18863,c_93,c_16017]) ).
tcf(c_18887,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xl,xn))
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18867,c_93,c_16017]) ).
tcf(c_18892,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtpldt0(X0,sz00))
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18861,c_93,c_16017]) ).
tcf(c_18898,plain,
( ( sdtpldt0(sdtasdt0(xl,xn),sdtmndt0(sdtasdt0(xl,xn),sdtasdt0(xl,xn))) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_18868,c_104]) ).
tcf(c_18900,plain,
( ( sdtpldt0(sdtasdt0(xl,xn),sK0(sdtasdt0(xl,xn),sdtasdt0(xl,xn))) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_18868,c_66]) ).
tcf(c_18901,plain,
sdtpldt0(sdtasdt0(xl,xn),sK0(sdtasdt0(xl,xn),sdtasdt0(xl,xn))) = sdtasdt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_18900,c_16017]) ).
tcf(c_18902,plain,
sdtpldt0(sdtasdt0(xl,xn),sdtmndt0(sdtasdt0(xl,xn),sdtasdt0(xl,xn))) = sdtasdt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_18898,c_16017]) ).
tcf(c_18921,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16291,c_143]) ).
tcf(c_18923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xr),sdtpldt0(X0,sdtasdt0(xl,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16291,c_63]) ).
tcf(c_18924,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_16291,c_69]) ).
tcf(c_18925,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xl,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ~ sdtlseqdt0(sdtasdt0(xl,xr),X0) ),
inference(superposition,[status(thm)],[c_16291,c_61]) ).
tcf(c_18927,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ( sdtpldt0(X0,sdtasdt0(xl,xr)) != sdtasdt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_16291,c_70]) ).
tcf(c_18928,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xr))
| ( sdtasdt0(xl,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16291,c_61]) ).
tcf(c_18929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xr)),sdtasdt0(xl,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16291,c_63]) ).
tcf(c_18930,plain,
sdtlseqdt0(sz00,sdtasdt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_18921,c_93,c_16212]) ).
tcf(c_18931,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xl,xr)) != sdtasdt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18927,c_93,c_16212]) ).
tcf(c_18935,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18924,c_93,c_16212]) ).
tcf(c_18939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xr)),sdtasdt0(xl,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18929,c_93,c_16212]) ).
tcf(c_18944,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xr),sdtpldt0(X0,sdtasdt0(xl,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18923,c_93,c_16212]) ).
tcf(c_18949,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xr))
| ( sdtasdt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18928,c_93,c_16212]) ).
tcf(c_18954,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18925,c_93,c_16212]) ).
tcf(c_18962,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_18930,c_99]) ).
tcf(c_18963,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xl,xr),sz00)) = sdtasdt0(xl,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_18930,c_104]) ).
tcf(c_18964,plain,
( ( sdtasdt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ~ sdtlseqdt0(sdtasdt0(xl,xr),sz00) ),
inference(superposition,[status(thm)],[c_18930,c_100]) ).
tcf(c_18965,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xl,xr))) = sdtasdt0(xl,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_18930,c_66]) ).
tcf(c_18966,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xl,xr))) = sdtasdt0(xl,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_18965,c_93,c_16212]) ).
tcf(c_18967,plain,
( ( sdtasdt0(xl,xr) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xl,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18964,c_93,c_16212]) ).
tcf(c_18970,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xl,xr),sz00)) = sdtasdt0(xl,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_18963,c_93,c_16212]) ).
tcf(c_18971,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18962,c_93,c_16212]) ).
tcf(c_18975,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xl,xm),sz00)),sz00)
| ( sdtpldt0(xl,xm) = X0 )
| ( sK1(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_3548,c_87]) ).
tcf(c_18976,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sz00)
| ( sK1(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_3548,c_83]) ).
tcf(c_18977,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sz00)
| ( sdtpldt0(xl,xm) = sz00 )
| ( sK1(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xm),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_3548,c_85]) ).
tcf(c_18978,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ( sK1(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xm),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xl,xm),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3548,c_90]) ).
tcf(c_18981,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ( sK1(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_3548,c_88]) ).
tcf(c_18984,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xl,xm),sz00)))
| ( sdtpldt0(xl,xm) = X0 )
| ( sK1(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_3548,c_87]) ).
tcf(c_18985,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = sz00 )
| ( sK1(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xm),sz00))
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3548,c_89]) ).
tcf(c_18986,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xm),X0))
| ( sdtpldt0(xl,xm) = sz00 )
| ( sK1(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xm),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xl,xm),sz00),X0) ),
inference(superposition,[status(thm)],[c_3548,c_85]) ).
tcf(c_18987,plain,
( ( sK1(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18976,c_3956,c_2931]) ).
tcf(c_18991,plain,
! [X0: $i] :
( ( sK1(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xm),sz00))
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18985,c_3442,c_2931]) ).
tcf(c_18996,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ( sK1(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xm),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xl,xm),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18978,c_2931]) ).
tcf(c_19002,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xm),X0))
| ( sK1(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xm),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xl,xm),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18986,c_3442,c_2931]) ).
tcf(c_19008,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xl,xm),sz00)))
| ( sdtpldt0(xl,xm) = X0 )
| ( sK1(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18984,c_2931]) ).
tcf(c_19015,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sz00)
| ( sK1(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xm),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xl,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18977,c_3442,c_2931]) ).
tcf(c_19021,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xl,xm),sz00)),sz00)
| ( sdtpldt0(xl,xm) = X0 )
| ( sK1(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18975,c_2931]) ).
tcf(c_19141,plain,
( sdtlseqdt0(sdtasdt0(xl,xr),sdtasdt0(xl,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16292,c_143]) ).
tcf(c_19143,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xl,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ~ sdtlseqdt0(sdtasdt0(xl,xr),X0) ),
inference(superposition,[status(thm)],[c_16292,c_63]) ).
tcf(c_19144,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ( sdtpldt0(sdtasdt0(xl,xr),X0) != sdtasdt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_16292,c_69]) ).
tcf(c_19145,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xr),sdtpldt0(sdtasdt0(xl,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16292,c_61]) ).
tcf(c_19147,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_16292,c_70]) ).
tcf(c_19148,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xr),X0),sdtasdt0(xl,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16292,c_61]) ).
tcf(c_19149,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xl,xr))
| ( sdtasdt0(xl,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_16292,c_63]) ).
tcf(c_19150,plain,
sdtlseqdt0(sdtasdt0(xl,xr),sdtasdt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_19141,c_93,c_16212]) ).
tcf(c_19151,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19147,c_93,c_16212]) ).
tcf(c_19155,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xl,xr),X0) != sdtasdt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19144,c_93,c_16212]) ).
tcf(c_19159,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xr),X0),sdtasdt0(xl,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19148,c_93,c_16212]) ).
tcf(c_19164,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xr),sdtpldt0(sdtasdt0(xl,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19145,c_93,c_16212]) ).
tcf(c_19169,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xl,xr))
| ( sdtasdt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19149,c_93,c_16212]) ).
tcf(c_19174,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19143,c_93,c_16212]) ).
tcf(c_19180,plain,
( ( sdtpldt0(sdtasdt0(xl,xr),sdtmndt0(sdtasdt0(xl,xr),sdtasdt0(xl,xr))) = sdtasdt0(xl,xr) )
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_19150,c_104]) ).
tcf(c_19182,plain,
( ( sdtpldt0(sdtasdt0(xl,xr),sK0(sdtasdt0(xl,xr),sdtasdt0(xl,xr))) = sdtasdt0(xl,xr) )
| ~ aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_19150,c_66]) ).
tcf(c_19183,plain,
sdtpldt0(sdtasdt0(xl,xr),sK0(sdtasdt0(xl,xr),sdtasdt0(xl,xr))) = sdtasdt0(xl,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_19182,c_16212]) ).
tcf(c_19184,plain,
sdtpldt0(sdtasdt0(xl,xr),sdtmndt0(sdtasdt0(xl,xr),sdtasdt0(xl,xr))) = sdtasdt0(xl,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_19180,c_16212]) ).
tcf(c_19189,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16512,c_143]) ).
tcf(c_19191,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sdtasdt0(xl,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16512,c_63]) ).
tcf(c_19192,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_16512,c_69]) ).
tcf(c_19193,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_16512,c_61]) ).
tcf(c_19195,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtpldt0(X0,sdtasdt0(xl,xq)) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_16512,c_70]) ).
tcf(c_19196,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16512,c_61]) ).
tcf(c_19197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xq)),sdtasdt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16512,c_63]) ).
tcf(c_19198,plain,
sdtlseqdt0(sz00,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_19189,c_93,c_16434]) ).
tcf(c_19199,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xl,xq)) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19195,c_93,c_16434]) ).
tcf(c_19203,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19192,c_93,c_16434]) ).
tcf(c_19207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xq)),sdtasdt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19197,c_93,c_16434]) ).
tcf(c_19212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sdtasdt0(xl,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19191,c_93,c_16434]) ).
tcf(c_19217,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19196,c_93,c_16434]) ).
tcf(c_19222,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19193,c_93,c_16434]) ).
tcf(c_19230,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_19198,c_99]) ).
tcf(c_19231,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xl,xq),sz00)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_19198,c_104]) ).
tcf(c_19232,plain,
( ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_19198,c_100]) ).
tcf(c_19233,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_19198,c_66]) ).
tcf(c_19234,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_19233,c_93,c_16434]) ).
tcf(c_19235,plain,
( ( sdtasdt0(xl,xq) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19232,c_93,c_16434]) ).
tcf(c_19238,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xl,xq),sz00)) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_19231,c_93,c_16434]) ).
tcf(c_19239,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19230,c_93,c_16434]) ).
tcf(c_19247,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16513,c_143]) ).
tcf(c_19249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_16513,c_63]) ).
tcf(c_19250,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtpldt0(sdtasdt0(xl,xq),X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_16513,c_69]) ).
tcf(c_19251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sdtasdt0(xl,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16513,c_61]) ).
tcf(c_19253,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_16513,c_70]) ).
tcf(c_19254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sdtasdt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16513,c_61]) ).
tcf(c_19255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_16513,c_63]) ).
tcf(c_19256,plain,
sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_19247,c_93,c_16434]) ).
tcf(c_19257,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19253,c_93,c_16434]) ).
tcf(c_19261,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xl,xq),X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19250,c_93,c_16434]) ).
tcf(c_19265,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sdtasdt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19254,c_93,c_16434]) ).
tcf(c_19270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sdtasdt0(xl,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19251,c_93,c_16434]) ).
tcf(c_19275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19255,c_93,c_16434]) ).
tcf(c_19280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19249,c_93,c_16434]) ).
tcf(c_19328,plain,
( ( sdtpldt0(sdtasdt0(xl,xq),sdtmndt0(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_19256,c_104]) ).
tcf(c_19330,plain,
( ( sdtpldt0(sdtasdt0(xl,xq),sK0(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_19256,c_66]) ).
tcf(c_19331,plain,
sdtpldt0(sdtasdt0(xl,xq),sK0(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_19330,c_16434]) ).
tcf(c_19332,plain,
sdtpldt0(sdtasdt0(xl,xq),sdtmndt0(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_19328,c_16434]) ).
tcf(c_19339,plain,
sdtasdt0(xm,xn) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_51,c_3095]) ).
tcf(c_19340,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xm) = sdtasdt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_3095]) ).
tcf(c_19341,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_65,c_3095]) ).
tcf(c_19342,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_3095]) ).
tcf(c_19343,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_81,c_3095]) ).
tcf(c_19344,plain,
sdtasdt0(xm,sz00) = sdtasdt0(sz00,xm),
inference(superposition,[status(thm)],[c_93,c_3095]) ).
tcf(c_19345,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_95,c_3095]) ).
tcf(c_19346,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),xm) = sdtasdt0(xm,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_3095]) ).
tcf(c_19347,plain,
sdtasdt0(sdtpldt0(xl,xm),xm) = sdtasdt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2931,c_3095]) ).
tcf(c_19348,plain,
sdtasdt0(sdtpldt0(xl,xn),xm) = sdtasdt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2971,c_3095]) ).
tcf(c_19349,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_3010,c_3095]) ).
tcf(c_19350,plain,
sdtasdt0(xm,xr) = sdtasdt0(xr,xm),
inference(superposition,[status(thm)],[c_4939,c_3095]) ).
tcf(c_19351,plain,
sdtasdt0(xm,xp) = sdtasdt0(xp,xm),
inference(superposition,[status(thm)],[c_3837,c_3095]) ).
tcf(c_19352,plain,
sdtasdt0(xm,xq) = sdtasdt0(xq,xm),
inference(superposition,[status(thm)],[c_4938,c_3095]) ).
tcf(c_19353,plain,
sdtasdt0(sdtasdt0(xl,xr),xm) = sdtasdt0(xm,sdtasdt0(xl,xr)),
inference(superposition,[status(thm)],[c_16212,c_3095]) ).
tcf(c_19354,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_3373,c_3095]) ).
tcf(c_19355,plain,
sdtasdt0(sdtpldt0(xm,xn),xm) = sdtasdt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12823,c_3095]) ).
tcf(c_19356,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_5245,c_3095]) ).
tcf(c_19357,plain,
sdtasdt0(sdtpldt0(xl,xp),xm) = sdtasdt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_7844,c_3095]) ).
tcf(c_19358,plain,
sdtasdt0(sdtpldt0(xl,xq),xm) = sdtasdt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_9733,c_3095]) ).
tcf(c_19359,plain,
sdtasdt0(sdtpldt0(xl,xr),xm) = sdtasdt0(xm,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_10141,c_3095]) ).
tcf(c_19360,plain,
sdtasdt0(sdtpldt0(xm,xr),xm) = sdtasdt0(xm,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_12990,c_3095]) ).
tcf(c_19361,plain,
sdtasdt0(sdtpldt0(xm,xp),xm) = sdtasdt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_13190,c_3095]) ).
tcf(c_19362,plain,
sdtasdt0(sdtpldt0(xm,xq),xm) = sdtasdt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_13506,c_3095]) ).
tcf(c_19363,plain,
sdtasdt0(sdtasdt0(xl,xm),xm) = sdtasdt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_15012,c_3095]) ).
tcf(c_19364,plain,
sdtasdt0(sdtpldt0(xn,xr),xm) = sdtasdt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_15397,c_3095]) ).
tcf(c_19365,plain,
sdtasdt0(sdtpldt0(xp,xn),xm) = sdtasdt0(xm,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_15554,c_3095]) ).
tcf(c_19366,plain,
sdtasdt0(sdtpldt0(xn,xq),xm) = sdtasdt0(xm,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_15747,c_3095]) ).
tcf(c_19367,plain,
sdtasdt0(sdtasdt0(xl,xn),xm) = sdtasdt0(xm,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_16017,c_3095]) ).
tcf(c_19368,plain,
sdtasdt0(sdtasdt0(xl,xq),xm) = sdtasdt0(xm,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_16434,c_3095]) ).
tcf(c_19459,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,xn))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_19339,c_87]) ).
tcf(c_19460,plain,
( sdtlseqdt0(xn,sdtasdt0(xm,xn))
| ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_19339,c_83]) ).
tcf(c_19461,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xm,xn))
| ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_19339,c_85]) ).
tcf(c_19462,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_19339,c_90]) ).
tcf(c_19465,plain,
( ( xn = sz00 )
| ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_19339,c_88]) ).
tcf(c_19466,plain,
( doDivides0(xn,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_19339,c_140]) ).
tcf(c_19467,plain,
( aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_19339,c_107]) ).
tcf(c_19468,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_19339,c_87]) ).
tcf(c_19469,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_19339,c_89]) ).
tcf(c_19470,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_19339,c_85]) ).
tcf(c_19471,plain,
aNaturalNumber0(sdtasdt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_19467,c_51,c_50]) ).
tcf(c_19472,plain,
doDivides0(xn,sdtasdt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_19466,c_51,c_50]) ).
tcf(c_19473,plain,
( sdtlseqdt0(xn,sdtasdt0(xm,xn))
| ( xm = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19460,c_51,c_50]) ).
tcf(c_19476,plain,
( ( xn = sz00 )
| ( xm = sz00 )
| ( sdtasdt0(xm,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19465,c_51,c_50]) ).
tcf(c_19480,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19469,c_51,c_50]) ).
tcf(c_19485,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19462,c_51,c_50]) ).
tcf(c_19490,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19470,c_51,c_50]) ).
tcf(c_19496,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19468,c_51,c_50]) ).
tcf(c_19502,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xm,xn))
| ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19461,c_51,c_50]) ).
tcf(c_19508,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,xn))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19459,c_51,c_50]) ).
tcf(c_19621,plain,
sdtasdt0(sdtasdt0(xm,xn),xm) = sdtasdt0(xm,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_19471,c_3095]) ).
tcf(c_19622,plain,
sdtasdt0(sdtasdt0(xm,xn),xl) = sdtasdt0(xl,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_19471,c_3094]) ).
tcf(c_19623,plain,
sdtpldt0(sdtasdt0(xm,xn),sz00) = sdtpldt0(sz00,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_19471,c_2815]) ).
tcf(c_19624,plain,
sdtpldt0(sdtasdt0(xm,xn),xn) = sdtpldt0(xn,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_19471,c_2811]) ).
tcf(c_19625,plain,
sdtpldt0(sdtasdt0(xm,xn),xm) = sdtpldt0(xm,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_19471,c_2810]) ).
tcf(c_19626,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xm,xn),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xm,xn)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19471,c_72]) ).
tcf(c_19627,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xm,xn))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19471,c_71]) ).
tcf(c_19628,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xm,xn)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19471,c_105]) ).
tcf(c_19629,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xm,xn)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19471,c_75]) ).
tcf(c_19630,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,xn),X0),sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19471,c_153]) ).
tcf(c_19631,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xm,xn),X0),sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19471,c_146]) ).
tcf(c_19632,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,xn),X0) = sdtasdt0(X0,sdtasdt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19471,c_106]) ).
tcf(c_19633,plain,
sdtpldt0(sdtasdt0(xm,xn),xl) = sdtpldt0(xl,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_19471,c_2809]) ).
tcf(c_19634,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,xn),X0) = sdtpldt0(X0,sdtasdt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19471,c_76]) ).
tcf(c_19635,plain,
sdtasdt0(sz00,sdtasdt0(xm,xn)) = sz00,
inference(superposition,[status(thm)],[c_19471,c_92]) ).
tcf(c_19636,plain,
sdtasdt0(sdtasdt0(xm,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_19471,c_91]) ).
tcf(c_19637,plain,
sdtpldt0(sz00,sdtasdt0(xm,xn)) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_19471,c_74]) ).
tcf(c_19638,plain,
sdtpldt0(sdtasdt0(xm,xn),sz00) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_19471,c_73]) ).
tcf(c_19667,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19472,c_79]) ).
tcf(c_19668,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sdtasdt0(xm,xn),xn)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19472,c_96]) ).
tcf(c_19669,plain,
( ( sdtasdt0(xn,sK1(xn,sdtasdt0(xm,xn))) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19472,c_82]) ).
tcf(c_19670,plain,
sdtasdt0(xn,sK1(xn,sdtasdt0(xm,xn))) = sdtasdt0(xm,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_19669,c_51,c_19471]) ).
tcf(c_19671,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19667,c_51,c_19471]) ).
tcf(c_19675,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sdtasdt0(xm,xn),xn)) = sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19668,c_51,c_19471]) ).
tcf(c_19720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,xr))
| ( xm = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_19350,c_87]) ).
tcf(c_19721,plain,
( sdtlseqdt0(xr,sdtasdt0(xm,xr))
| ( xm = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_19350,c_83]) ).
tcf(c_19722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xm,xr))
| ( sz00 = xr )
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_19350,c_85]) ).
tcf(c_19723,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_19350,c_90]) ).
tcf(c_19726,plain,
( ( sz00 = xr )
| ( xm = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xm,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_19350,c_88]) ).
tcf(c_19727,plain,
( doDivides0(xr,sdtasdt0(xm,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_19350,c_140]) ).
tcf(c_19728,plain,
( aNaturalNumber0(sdtasdt0(xm,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_19350,c_107]) ).
tcf(c_19729,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_19350,c_87]) ).
tcf(c_19730,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_19350,c_89]) ).
tcf(c_19731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_19350,c_85]) ).
tcf(c_19732,plain,
aNaturalNumber0(sdtasdt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_19728,c_4939,c_50]) ).
tcf(c_19733,plain,
doDivides0(xr,sdtasdt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_19727,c_4939,c_50]) ).
tcf(c_19734,plain,
( sdtlseqdt0(xr,sdtasdt0(xm,xr))
| ( xm = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19721,c_4939,c_50]) ).
tcf(c_19737,plain,
( ( sz00 = xr )
| ( xm = sz00 )
| ( sdtasdt0(xm,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19726,c_4939,c_50]) ).
tcf(c_19741,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19730,c_4939,c_50]) ).
tcf(c_19746,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19723,c_4939,c_50]) ).
tcf(c_19751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19731,c_4939,c_50]) ).
tcf(c_19757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19729,c_4939,c_50]) ).
tcf(c_19763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xm,xr))
| ( sz00 = xr )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19722,c_4939,c_50]) ).
tcf(c_19769,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,xr))
| ( xm = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19720,c_4939,c_50]) ).
tcf(c_19780,plain,
sdtasdt0(sdtasdt0(xm,xr),xm) = sdtasdt0(xm,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_19732,c_3095]) ).
tcf(c_19781,plain,
sdtasdt0(sdtasdt0(xm,xr),xl) = sdtasdt0(xl,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_19732,c_3094]) ).
tcf(c_19782,plain,
sdtpldt0(sdtasdt0(xm,xr),sz00) = sdtpldt0(sz00,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_19732,c_2815]) ).
tcf(c_19783,plain,
sdtpldt0(sdtasdt0(xm,xr),xn) = sdtpldt0(xn,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_19732,c_2811]) ).
tcf(c_19784,plain,
sdtpldt0(sdtasdt0(xm,xr),xm) = sdtpldt0(xm,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_19732,c_2810]) ).
tcf(c_19785,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xm,xr),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xm,xr)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19732,c_72]) ).
tcf(c_19786,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xm,xr))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xm,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19732,c_71]) ).
tcf(c_19787,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xm,xr)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xm,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19732,c_105]) ).
tcf(c_19788,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xm,xr)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xm,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19732,c_75]) ).
tcf(c_19789,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,xr),X0),sdtasdt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19732,c_153]) ).
tcf(c_19790,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xm,xr),X0),sdtasdt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19732,c_146]) ).
tcf(c_19791,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,xr),X0) = sdtasdt0(X0,sdtasdt0(xm,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19732,c_106]) ).
tcf(c_19792,plain,
sdtpldt0(sdtasdt0(xm,xr),xl) = sdtpldt0(xl,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_19732,c_2809]) ).
tcf(c_19793,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,xr),X0) = sdtpldt0(X0,sdtasdt0(xm,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19732,c_76]) ).
tcf(c_19794,plain,
sdtasdt0(sz00,sdtasdt0(xm,xr)) = sz00,
inference(superposition,[status(thm)],[c_19732,c_92]) ).
tcf(c_19795,plain,
sdtasdt0(sdtasdt0(xm,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_19732,c_91]) ).
tcf(c_19796,plain,
sdtpldt0(sz00,sdtasdt0(xm,xr)) = sdtasdt0(xm,xr),
inference(superposition,[status(thm)],[c_19732,c_74]) ).
tcf(c_19797,plain,
sdtpldt0(sdtasdt0(xm,xr),sz00) = sdtasdt0(xm,xr),
inference(superposition,[status(thm)],[c_19732,c_73]) ).
tcf(c_19878,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xm,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19733,c_79]) ).
tcf(c_19879,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xm,xr),xr)) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19733,c_96]) ).
tcf(c_19880,plain,
( ( sdtasdt0(xr,sK1(xr,sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19733,c_82]) ).
tcf(c_19881,plain,
sdtasdt0(xr,sK1(xr,sdtasdt0(xm,xr))) = sdtasdt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_19880,c_4939,c_19732]) ).
tcf(c_19882,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xm,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19878,c_4939,c_19732]) ).
tcf(c_19886,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xm,xr),xr)) = sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19879,c_4939,c_19732]) ).
tcf(c_19890,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,xp))
| ( xm = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_19351,c_87]) ).
tcf(c_19891,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xp))
| ( xm = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_19351,c_83]) ).
tcf(c_19892,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xm,xp))
| ( sz00 = xp )
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_19351,c_85]) ).
tcf(c_19893,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_19351,c_90]) ).
tcf(c_19896,plain,
( ( sz00 = xp )
| ( xm = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xm,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_19351,c_88]) ).
tcf(c_19897,plain,
( doDivides0(xp,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_19351,c_140]) ).
tcf(c_19898,plain,
( aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_19351,c_107]) ).
tcf(c_19899,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_19351,c_87]) ).
tcf(c_19900,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sdtasdt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_19351,c_89]) ).
tcf(c_19901,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_19351,c_85]) ).
tcf(c_19902,plain,
aNaturalNumber0(sdtasdt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_19898,c_3837,c_50]) ).
tcf(c_19903,plain,
doDivides0(xp,sdtasdt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_19897,c_3837,c_50]) ).
tcf(c_19904,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xp))
| ( xm = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19891,c_3837,c_50]) ).
tcf(c_19907,plain,
( ( sz00 = xp )
| ( xm = sz00 )
| ( sdtasdt0(xm,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19896,c_3837,c_50]) ).
tcf(c_19911,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19900,c_3837,c_50]) ).
tcf(c_19916,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19893,c_3837,c_50]) ).
tcf(c_19921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19901,c_3837,c_50]) ).
tcf(c_19927,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19899,c_3837,c_50]) ).
tcf(c_19933,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xm,xp))
| ( sz00 = xp )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19892,c_3837,c_50]) ).
tcf(c_19939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,xp))
| ( xm = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19890,c_3837,c_50]) ).
tcf(c_19991,plain,
sdtasdt0(sdtasdt0(xm,xp),xm) = sdtasdt0(xm,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_19902,c_3095]) ).
tcf(c_19992,plain,
sdtasdt0(sdtasdt0(xm,xp),xl) = sdtasdt0(xl,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_19902,c_3094]) ).
tcf(c_19993,plain,
sdtpldt0(sdtasdt0(xm,xp),sz00) = sdtpldt0(sz00,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_19902,c_2815]) ).
tcf(c_19994,plain,
sdtpldt0(sdtasdt0(xm,xp),xn) = sdtpldt0(xn,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_19902,c_2811]) ).
tcf(c_19995,plain,
sdtpldt0(sdtasdt0(xm,xp),xm) = sdtpldt0(xm,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_19902,c_2810]) ).
tcf(c_19996,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xm,xp),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xm,xp)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19902,c_72]) ).
tcf(c_19997,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xm,xp))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xm,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19902,c_71]) ).
tcf(c_19998,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xm,xp)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xm,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19902,c_105]) ).
tcf(c_19999,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xm,xp)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xm,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19902,c_75]) ).
tcf(c_20000,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,xp),X0),sdtasdt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19902,c_153]) ).
tcf(c_20001,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xm,xp),X0),sdtasdt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19902,c_146]) ).
tcf(c_20002,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,xp),X0) = sdtasdt0(X0,sdtasdt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19902,c_106]) ).
tcf(c_20003,plain,
sdtpldt0(sdtasdt0(xm,xp),xl) = sdtpldt0(xl,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_19902,c_2809]) ).
tcf(c_20004,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,xp),X0) = sdtpldt0(X0,sdtasdt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19902,c_76]) ).
tcf(c_20005,plain,
sdtasdt0(sz00,sdtasdt0(xm,xp)) = sz00,
inference(superposition,[status(thm)],[c_19902,c_92]) ).
tcf(c_20006,plain,
sdtasdt0(sdtasdt0(xm,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_19902,c_91]) ).
tcf(c_20007,plain,
sdtpldt0(sz00,sdtasdt0(xm,xp)) = sdtasdt0(xm,xp),
inference(superposition,[status(thm)],[c_19902,c_74]) ).
tcf(c_20008,plain,
sdtpldt0(sdtasdt0(xm,xp),sz00) = sdtasdt0(xm,xp),
inference(superposition,[status(thm)],[c_19902,c_73]) ).
tcf(c_20077,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_19903,c_79]) ).
tcf(c_20078,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xm,xp),xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_19903,c_96]) ).
tcf(c_20079,plain,
( ( sdtasdt0(xp,sK1(xp,sdtasdt0(xm,xp))) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_19903,c_82]) ).
tcf(c_20080,plain,
sdtasdt0(xp,sK1(xp,sdtasdt0(xm,xp))) = sdtasdt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_20079,c_3837,c_19902]) ).
tcf(c_20081,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20077,c_3837,c_19902]) ).
tcf(c_20085,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xm,xp),xp)) = sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20078,c_3837,c_19902]) ).
tcf(c_20091,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3587,c_68]) ).
tcf(c_20093,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3587,c_143]) ).
tcf(c_20094,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3587,c_77]) ).
tcf(c_20095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_3587,c_63]) ).
tcf(c_20096,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) ) ),
inference(superposition,[status(thm)],[c_3587,c_69]) ).
tcf(c_20097,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3587,c_61]) ).
tcf(c_20098,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3587,c_78]) ).
tcf(c_20099,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3587,c_70]) ).
tcf(c_20100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3587,c_61]) ).
tcf(c_20101,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3587,c_63]) ).
tcf(c_20102,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(forward_subsumption_resolution,[status(thm)],[c_20094,c_49,c_3373]) ).
tcf(c_20103,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(forward_subsumption_resolution,[status(thm)],[c_20093,c_49,c_3373]) ).
tcf(c_20104,plain,
sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20091,c_54,c_49,c_3373]) ).
tcf(c_20105,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20099,c_49,c_3373]) ).
tcf(c_20109,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20098,c_49,c_3373]) ).
tcf(c_20114,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20096,c_49,c_3373]) ).
tcf(c_20118,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20100,c_49,c_3373]) ).
tcf(c_20123,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20097,c_49,c_3373]) ).
tcf(c_20128,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20101,c_49,c_3373]) ).
tcf(c_20133,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20095,c_49,c_3373]) ).
tcf(c_20183,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xn)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19635,c_87]) ).
tcf(c_20186,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(X0,sdtasdt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_19635,c_90]) ).
tcf(c_20192,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,xn)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19635,c_87]) ).
tcf(c_20195,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xm,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20186,c_93,c_19471]) ).
tcf(c_20200,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,xn)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20192,c_93,c_19471]) ).
tcf(c_20206,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xn)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20183,c_93,c_19471]) ).
tcf(c_20216,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19636,c_85]) ).
tcf(c_20221,plain,
( doDivides0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19636,c_140]) ).
tcf(c_20224,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(sdtasdt0(xm,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19636,c_89]) ).
tcf(c_20225,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,xn),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19636,c_85]) ).
tcf(c_20226,plain,
doDivides0(sdtasdt0(xm,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_20221,c_93,c_19471]) ).
tcf(c_20227,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xm,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20224,c_93,c_19471]) ).
tcf(c_20232,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,xn),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20225,c_93,c_19471]) ).
tcf(c_20238,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20216,c_93,c_19471]) ).
tcf(c_20287,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ doDivides0(X0,sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_20226,c_79]) ).
tcf(c_20288,plain,
( ( sdtasdt0(xm,xn) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(sz00,sdtasdt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_20226,c_96]) ).
tcf(c_20289,plain,
( ( sdtasdt0(sdtasdt0(xm,xn),sK1(sdtasdt0(xm,xn),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_20226,c_82]) ).
tcf(c_20290,plain,
sdtasdt0(sdtasdt0(xm,xn),sK1(sdtasdt0(xm,xn),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20289,c_93,c_19471]) ).
tcf(c_20291,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20287,c_93,c_19471]) ).
tcf(c_20295,plain,
( ( sdtasdt0(xm,xn) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(sz00,sdtasdt0(xm,xn))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20288,c_93,c_19471]) ).
tcf(c_20303,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19794,c_87]) ).
tcf(c_20306,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ( sdtasdt0(X0,sdtasdt0(xm,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_19794,c_90]) ).
tcf(c_20312,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19794,c_87]) ).
tcf(c_20315,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xm,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20306,c_93,c_19732]) ).
tcf(c_20320,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20312,c_93,c_19732]) ).
tcf(c_20326,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20303,c_93,c_19732]) ).
tcf(c_20332,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,xq))
| ( xm = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_19352,c_87]) ).
tcf(c_20333,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xq))
| ( xm = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_19352,c_83]) ).
tcf(c_20334,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sdtasdt0(xm,xq))
| ( sz00 = xq )
| ( X0 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_19352,c_85]) ).
tcf(c_20335,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_19352,c_90]) ).
tcf(c_20338,plain,
( ( sz00 = xq )
| ( xm = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xm,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_19352,c_88]) ).
tcf(c_20339,plain,
( doDivides0(xq,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_19352,c_140]) ).
tcf(c_20340,plain,
( aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_19352,c_107]) ).
tcf(c_20341,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_19352,c_87]) ).
tcf(c_20342,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sdtasdt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_19352,c_89]) ).
tcf(c_20343,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_19352,c_85]) ).
tcf(c_20344,plain,
aNaturalNumber0(sdtasdt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_20340,c_4938,c_50]) ).
tcf(c_20345,plain,
doDivides0(xq,sdtasdt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_20339,c_4938,c_50]) ).
tcf(c_20346,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xq))
| ( xm = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20333,c_4938,c_50]) ).
tcf(c_20349,plain,
( ( sz00 = xq )
| ( xm = sz00 )
| ( sdtasdt0(xm,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20338,c_4938,c_50]) ).
tcf(c_20353,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sdtasdt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20342,c_4938,c_50]) ).
tcf(c_20358,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20335,c_4938,c_50]) ).
tcf(c_20363,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20343,c_4938,c_50]) ).
tcf(c_20369,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20341,c_4938,c_50]) ).
tcf(c_20375,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sdtasdt0(xm,xq))
| ( sz00 = xq )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20334,c_4938,c_50]) ).
tcf(c_20381,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,xq))
| ( xm = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20332,c_4938,c_50]) ).
tcf(c_20425,plain,
sdtasdt0(sdtasdt0(xm,xq),xm) = sdtasdt0(xm,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_20344,c_3095]) ).
tcf(c_20426,plain,
sdtasdt0(sdtasdt0(xm,xq),xl) = sdtasdt0(xl,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_20344,c_3094]) ).
tcf(c_20427,plain,
sdtpldt0(sdtasdt0(xm,xq),sz00) = sdtpldt0(sz00,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_20344,c_2815]) ).
tcf(c_20428,plain,
sdtpldt0(sdtasdt0(xm,xq),xn) = sdtpldt0(xn,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_20344,c_2811]) ).
tcf(c_20429,plain,
sdtpldt0(sdtasdt0(xm,xq),xm) = sdtpldt0(xm,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_20344,c_2810]) ).
tcf(c_20430,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xm,xq),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xm,xq)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20344,c_72]) ).
tcf(c_20431,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xm,xq))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xm,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20344,c_71]) ).
tcf(c_20432,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xm,xq)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xm,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20344,c_105]) ).
tcf(c_20433,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xm,xq)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xm,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20344,c_75]) ).
tcf(c_20434,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,xq),X0),sdtasdt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20344,c_153]) ).
tcf(c_20435,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xm,xq),X0),sdtasdt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20344,c_146]) ).
tcf(c_20436,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,xq),X0) = sdtasdt0(X0,sdtasdt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20344,c_106]) ).
tcf(c_20437,plain,
sdtpldt0(sdtasdt0(xm,xq),xl) = sdtpldt0(xl,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_20344,c_2809]) ).
tcf(c_20438,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,xq),X0) = sdtpldt0(X0,sdtasdt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20344,c_76]) ).
tcf(c_20439,plain,
sdtasdt0(sz00,sdtasdt0(xm,xq)) = sz00,
inference(superposition,[status(thm)],[c_20344,c_92]) ).
tcf(c_20440,plain,
sdtasdt0(sdtasdt0(xm,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_20344,c_91]) ).
tcf(c_20441,plain,
sdtpldt0(sz00,sdtasdt0(xm,xq)) = sdtasdt0(xm,xq),
inference(superposition,[status(thm)],[c_20344,c_74]) ).
tcf(c_20442,plain,
sdtpldt0(sdtasdt0(xm,xq),sz00) = sdtasdt0(xm,xq),
inference(superposition,[status(thm)],[c_20344,c_73]) ).
tcf(c_20510,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20345,c_79]) ).
tcf(c_20511,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xm,xq),xq)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20345,c_96]) ).
tcf(c_20512,plain,
( ( sdtasdt0(xq,sK1(xq,sdtasdt0(xm,xq))) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20345,c_82]) ).
tcf(c_20513,plain,
sdtasdt0(xq,sK1(xq,sdtasdt0(xm,xq))) = sdtasdt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_20512,c_4938,c_20344]) ).
tcf(c_20514,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20510,c_4938,c_20344]) ).
tcf(c_20518,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xm,xq),xq)) = sdtasdt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20511,c_4938,c_20344]) ).
tcf(c_20524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19795,c_85]) ).
tcf(c_20529,plain,
( doDivides0(sdtasdt0(xm,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19795,c_140]) ).
tcf(c_20532,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ( sdtasdt0(sdtasdt0(xm,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19795,c_89]) ).
tcf(c_20533,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19795,c_85]) ).
tcf(c_20534,plain,
doDivides0(sdtasdt0(xm,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_20529,c_93,c_19732]) ).
tcf(c_20535,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xm,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20532,c_93,c_19732]) ).
tcf(c_20540,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20533,c_93,c_19732]) ).
tcf(c_20546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20524,c_93,c_19732]) ).
tcf(c_20585,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ doDivides0(X0,sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_20534,c_79]) ).
tcf(c_20586,plain,
( ( sdtasdt0(xm,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xr),sdtsldt0(sz00,sdtasdt0(xm,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_20534,c_96]) ).
tcf(c_20587,plain,
( ( sdtasdt0(sdtasdt0(xm,xr),sK1(sdtasdt0(xm,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_20534,c_82]) ).
tcf(c_20588,plain,
sdtasdt0(sdtasdt0(xm,xr),sK1(sdtasdt0(xm,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20587,c_93,c_19732]) ).
tcf(c_20589,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20585,c_93,c_19732]) ).
tcf(c_20593,plain,
( ( sdtasdt0(xm,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xr),sdtsldt0(sz00,sdtasdt0(xm,xr))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20586,c_93,c_19732]) ).
tcf(c_20596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xp)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_20005,c_87]) ).
tcf(c_20599,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ( sdtasdt0(X0,sdtasdt0(xm,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_20005,c_90]) ).
tcf(c_20605,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,xp)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_20005,c_87]) ).
tcf(c_20608,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xm,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20599,c_93,c_19902]) ).
tcf(c_20613,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,xp)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20605,c_93,c_19902]) ).
tcf(c_20619,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xp)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20596,c_93,c_19902]) ).
tcf(c_20627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_20006,c_85]) ).
tcf(c_20632,plain,
( doDivides0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_20006,c_140]) ).
tcf(c_20635,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ( sdtasdt0(sdtasdt0(xm,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20006,c_89]) ).
tcf(c_20636,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,xp),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_20006,c_85]) ).
tcf(c_20637,plain,
doDivides0(sdtasdt0(xm,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_20632,c_93,c_19902]) ).
tcf(c_20638,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xm,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20635,c_93,c_19902]) ).
tcf(c_20643,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,xp),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20636,c_93,c_19902]) ).
tcf(c_20649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20627,c_93,c_19902]) ).
tcf(c_20655,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ doDivides0(X0,sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_20637,c_79]) ).
tcf(c_20656,plain,
( ( sdtasdt0(xm,xp) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xp),sdtsldt0(sz00,sdtasdt0(xm,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_20637,c_96]) ).
tcf(c_20657,plain,
( ( sdtasdt0(sdtasdt0(xm,xp),sK1(sdtasdt0(xm,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_20637,c_82]) ).
tcf(c_20658,plain,
sdtasdt0(sdtasdt0(xm,xp),sK1(sdtasdt0(xm,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20657,c_93,c_19902]) ).
tcf(c_20659,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20655,c_93,c_19902]) ).
tcf(c_20663,plain,
( ( sdtasdt0(xm,xp) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xp),sdtsldt0(sz00,sdtasdt0(xm,xp))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20656,c_93,c_19902]) ).
tcf(c_20727,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_20102,c_3095]) ).
tcf(c_20728,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_20102,c_3094]) ).
tcf(c_20729,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_20102,c_2815]) ).
tcf(c_20730,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_20102,c_2811]) ).
tcf(c_20731,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_20102,c_2810]) ).
tcf(c_20732,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20102,c_72]) ).
tcf(c_20733,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20102,c_71]) ).
tcf(c_20734,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20102,c_105]) ).
tcf(c_20735,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20102,c_75]) ).
tcf(c_20736,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20102,c_153]) ).
tcf(c_20737,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20102,c_146]) ).
tcf(c_20738,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20102,c_106]) ).
tcf(c_20739,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_20102,c_2809]) ).
tcf(c_20740,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20102,c_76]) ).
tcf(c_20741,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20102,c_92]) ).
tcf(c_20742,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20102,c_91]) ).
tcf(c_20743,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_20102,c_74]) ).
tcf(c_20744,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_20102,c_73]) ).
tcf(c_20813,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20439,c_87]) ).
tcf(c_20816,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ( sdtasdt0(X0,sdtasdt0(xm,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_20439,c_90]) ).
tcf(c_20822,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20439,c_87]) ).
tcf(c_20825,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xm,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20816,c_93,c_20344]) ).
tcf(c_20830,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20822,c_93,c_20344]) ).
tcf(c_20836,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20813,c_93,c_20344]) ).
tcf(c_20844,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20440,c_85]) ).
tcf(c_20849,plain,
( doDivides0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20440,c_140]) ).
tcf(c_20852,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ( sdtasdt0(sdtasdt0(xm,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20440,c_89]) ).
tcf(c_20853,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20440,c_85]) ).
tcf(c_20854,plain,
doDivides0(sdtasdt0(xm,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_20849,c_93,c_20344]) ).
tcf(c_20855,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xm,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20852,c_93,c_20344]) ).
tcf(c_20860,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20853,c_93,c_20344]) ).
tcf(c_20866,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20844,c_93,c_20344]) ).
tcf(c_20872,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ doDivides0(X0,sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20854,c_79]) ).
tcf(c_20873,plain,
( ( sdtasdt0(xm,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xq),sdtsldt0(sz00,sdtasdt0(xm,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20854,c_96]) ).
tcf(c_20874,plain,
( ( sdtasdt0(sdtasdt0(xm,xq),sK1(sdtasdt0(xm,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20854,c_82]) ).
tcf(c_20875,plain,
sdtasdt0(sdtasdt0(xm,xq),sK1(sdtasdt0(xm,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20874,c_93,c_20344]) ).
tcf(c_20876,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20872,c_93,c_20344]) ).
tcf(c_20880,plain,
( ( sdtasdt0(xm,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xq),sdtsldt0(sz00,sdtasdt0(xm,xq))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20873,c_93,c_20344]) ).
tcf(c_20887,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3591,c_143]) ).
tcf(c_20889,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3591,c_63]) ).
tcf(c_20890,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_3591,c_69]) ).
tcf(c_20891,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_3591,c_61]) ).
tcf(c_20893,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_3591,c_70]) ).
tcf(c_20894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3591,c_61]) ).
tcf(c_20895,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3591,c_63]) ).
tcf(c_20896,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_20887,c_93,c_3373]) ).
tcf(c_20897,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20893,c_93,c_3373]) ).
tcf(c_20901,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20890,c_93,c_3373]) ).
tcf(c_20905,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20895,c_93,c_3373]) ).
tcf(c_20910,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20889,c_93,c_3373]) ).
tcf(c_20915,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20894,c_93,c_3373]) ).
tcf(c_20920,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20891,c_93,c_3373]) ).
tcf(c_20928,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_20896,c_99]) ).
tcf(c_20929,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) = sdtpldt0(xl,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_20896,c_104]) ).
tcf(c_20930,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_20896,c_100]) ).
tcf(c_20931,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xl,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_20896,c_66]) ).
tcf(c_20932,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20928,c_93,c_3373]) ).
tcf(c_20936,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_20931,c_93,c_3373]) ).
tcf(c_20937,plain,
~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_20930,c_3443,c_93,c_3373]) ).
tcf(c_20938,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_20929,c_93,c_3373]) ).
tcf(c_20945,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19473,c_99]) ).
tcf(c_20946,plain,
( ( xm = sz00 )
| ( sdtpldt0(xn,sdtmndt0(sdtasdt0(xm,xn),xn)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19473,c_104]) ).
tcf(c_20947,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),xn) ),
inference(superposition,[status(thm)],[c_19473,c_100]) ).
tcf(c_20948,plain,
( ( xm = sz00 )
| ( sdtpldt0(xn,sK0(xn,sdtasdt0(xm,xn))) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19473,c_66]) ).
tcf(c_20949,plain,
( ( xm = sz00 )
| ( sdtpldt0(xn,sK0(xn,sdtasdt0(xm,xn))) = sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20948,c_51,c_19471]) ).
tcf(c_20952,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,xn) = xn )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20947,c_51,c_19471]) ).
tcf(c_20956,plain,
( ( xm = sz00 )
| ( sdtpldt0(xn,sdtmndt0(sdtasdt0(xm,xn),xn)) = sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20946,c_51,c_19471]) ).
tcf(c_20959,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20945,c_51,c_19471]) ).
tcf(c_21066,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xr))
| ( xm = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19734,c_99]) ).
tcf(c_21067,plain,
( ( xm = sz00 )
| ( sdtpldt0(xr,sdtmndt0(sdtasdt0(xm,xr),xr)) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19734,c_104]) ).
tcf(c_21068,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(sdtasdt0(xm,xr),xr) ),
inference(superposition,[status(thm)],[c_19734,c_100]) ).
tcf(c_21069,plain,
( ( xm = sz00 )
| ( sdtpldt0(xr,sK0(xr,sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19734,c_66]) ).
tcf(c_21070,plain,
( ( xm = sz00 )
| ( sdtpldt0(xr,sK0(xr,sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21069,c_4939,c_19732]) ).
tcf(c_21073,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,xr) = xr )
| ~ sdtlseqdt0(sdtasdt0(xm,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21068,c_4939,c_19732]) ).
tcf(c_21077,plain,
( ( xm = sz00 )
| ( sdtpldt0(xr,sdtmndt0(sdtasdt0(xm,xr),xr)) = sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21067,c_4939,c_19732]) ).
tcf(c_21080,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xr))
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21066,c_4939,c_19732]) ).
tcf(c_21090,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ( xm = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_19904,c_99]) ).
tcf(c_21091,plain,
( ( xm = sz00 )
| ( sdtpldt0(xp,sdtmndt0(sdtasdt0(xm,xp),xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_19904,c_104]) ).
tcf(c_21092,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),xp) ),
inference(superposition,[status(thm)],[c_19904,c_100]) ).
tcf(c_21093,plain,
( ( xm = sz00 )
| ( sdtpldt0(xp,sK0(xp,sdtasdt0(xm,xp))) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_19904,c_66]) ).
tcf(c_21094,plain,
( ( xm = sz00 )
| ( sdtpldt0(xp,sK0(xp,sdtasdt0(xm,xp))) = sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21093,c_3837,c_19902]) ).
tcf(c_21097,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,xp) = xp )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21092,c_3837,c_19902]) ).
tcf(c_21101,plain,
( ( xm = sz00 )
| ( sdtpldt0(xp,sdtmndt0(sdtasdt0(xm,xp),xp)) = sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21091,c_3837,c_19902]) ).
tcf(c_21104,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21090,c_3837,c_19902]) ).
tcf(c_21114,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xq))
| ( xm = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20346,c_99]) ).
tcf(c_21115,plain,
( ( xm = sz00 )
| ( sdtpldt0(xq,sdtmndt0(sdtasdt0(xm,xq),xq)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20346,c_104]) ).
tcf(c_21116,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),xq) ),
inference(superposition,[status(thm)],[c_20346,c_100]) ).
tcf(c_21117,plain,
( ( xm = sz00 )
| ( sdtpldt0(xq,sK0(xq,sdtasdt0(xm,xq))) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20346,c_66]) ).
tcf(c_21118,plain,
( ( xm = sz00 )
| ( sdtpldt0(xq,sK0(xq,sdtasdt0(xm,xq))) = sdtasdt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21117,c_4938,c_20344]) ).
tcf(c_21121,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,xq) = xq )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21116,c_4938,c_20344]) ).
tcf(c_21125,plain,
( ( xm = sz00 )
| ( sdtpldt0(xq,sdtmndt0(sdtasdt0(xm,xq),xq)) = sdtasdt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21115,c_4938,c_20344]) ).
tcf(c_21128,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xq))
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21114,c_4938,c_20344]) ).
tcf(c_21184,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19637,c_143]) ).
tcf(c_21186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtpldt0(X0,sdtasdt0(xm,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19637,c_63]) ).
tcf(c_21187,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_19637,c_69]) ).
tcf(c_21188,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),X0) ),
inference(superposition,[status(thm)],[c_19637,c_61]) ).
tcf(c_21190,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(X0,sdtasdt0(xm,xn)) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_19637,c_70]) ).
tcf(c_21191,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,xn))
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19637,c_61]) ).
tcf(c_21192,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xn)),sdtasdt0(xm,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19637,c_63]) ).
tcf(c_21193,plain,
sdtlseqdt0(sz00,sdtasdt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_21184,c_93,c_19471]) ).
tcf(c_21194,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xm,xn)) != sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21190,c_93,c_19471]) ).
tcf(c_21198,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21187,c_93,c_19471]) ).
tcf(c_21202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xn)),sdtasdt0(xm,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21192,c_93,c_19471]) ).
tcf(c_21207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtpldt0(X0,sdtasdt0(xm,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21186,c_93,c_19471]) ).
tcf(c_21212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,xn))
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21191,c_93,c_19471]) ).
tcf(c_21217,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21188,c_93,c_19471]) ).
tcf(c_21225,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_21193,c_99]) ).
tcf(c_21226,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xm,xn),sz00)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_21193,c_104]) ).
tcf(c_21227,plain,
( ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_21193,c_100]) ).
tcf(c_21228,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xm,xn))) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_21193,c_66]) ).
tcf(c_21229,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xm,xn))) = sdtasdt0(xm,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_21228,c_93,c_19471]) ).
tcf(c_21230,plain,
( ( sdtasdt0(xm,xn) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21227,c_93,c_19471]) ).
tcf(c_21233,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xm,xn),sz00)) = sdtasdt0(xm,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_21226,c_93,c_19471]) ).
tcf(c_21234,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21225,c_93,c_19471]) ).
tcf(c_21242,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19638,c_143]) ).
tcf(c_21244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),X0) ),
inference(superposition,[status(thm)],[c_19638,c_63]) ).
tcf(c_21245,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),X0) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_19638,c_69]) ).
tcf(c_21246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtpldt0(sdtasdt0(xm,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19638,c_61]) ).
tcf(c_21248,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_19638,c_70]) ).
tcf(c_21249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),X0),sdtasdt0(xm,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19638,c_61]) ).
tcf(c_21250,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,xn))
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_19638,c_63]) ).
tcf(c_21251,plain,
sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_21242,c_93,c_19471]) ).
tcf(c_21252,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21248,c_93,c_19471]) ).
tcf(c_21256,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xm,xn),X0) != sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21245,c_93,c_19471]) ).
tcf(c_21260,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),X0),sdtasdt0(xm,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21249,c_93,c_19471]) ).
tcf(c_21265,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtpldt0(sdtasdt0(xm,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21246,c_93,c_19471]) ).
tcf(c_21270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,xn))
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21250,c_93,c_19471]) ).
tcf(c_21275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21244,c_93,c_19471]) ).
tcf(c_21281,plain,
( ( sdtpldt0(sdtasdt0(xm,xn),sdtmndt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn))) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_21251,c_104]) ).
tcf(c_21283,plain,
( ( sdtpldt0(sdtasdt0(xm,xn),sK0(sdtasdt0(xm,xn),sdtasdt0(xm,xn))) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_21251,c_66]) ).
tcf(c_21284,plain,
sdtpldt0(sdtasdt0(xm,xn),sK0(sdtasdt0(xm,xn),sdtasdt0(xm,xn))) = sdtasdt0(xm,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_21283,c_19471]) ).
tcf(c_21285,plain,
sdtpldt0(sdtasdt0(xm,xn),sdtmndt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn))) = sdtasdt0(xm,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_21281,c_19471]) ).
tcf(c_21290,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19796,c_143]) ).
tcf(c_21292,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtpldt0(X0,sdtasdt0(xm,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19796,c_63]) ).
tcf(c_21293,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_19796,c_69]) ).
tcf(c_21294,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(sdtasdt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_19796,c_61]) ).
tcf(c_21296,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ( sdtpldt0(X0,sdtasdt0(xm,xr)) != sdtasdt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_19796,c_70]) ).
tcf(c_21297,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19796,c_61]) ).
tcf(c_21298,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xr)),sdtasdt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19796,c_63]) ).
tcf(c_21299,plain,
sdtlseqdt0(sz00,sdtasdt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_21290,c_93,c_19732]) ).
tcf(c_21300,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xm,xr)) != sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21296,c_93,c_19732]) ).
tcf(c_21304,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21293,c_93,c_19732]) ).
tcf(c_21308,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xr)),sdtasdt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21298,c_93,c_19732]) ).
tcf(c_21313,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtpldt0(X0,sdtasdt0(xm,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21292,c_93,c_19732]) ).
tcf(c_21318,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21297,c_93,c_19732]) ).
tcf(c_21323,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21294,c_93,c_19732]) ).
tcf(c_21368,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_21299,c_99]) ).
tcf(c_21369,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xm,xr),sz00)) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_21299,c_104]) ).
tcf(c_21370,plain,
( ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(sdtasdt0(xm,xr),sz00) ),
inference(superposition,[status(thm)],[c_21299,c_100]) ).
tcf(c_21371,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_21299,c_66]) ).
tcf(c_21372,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xm,xr))) = sdtasdt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_21371,c_93,c_19732]) ).
tcf(c_21373,plain,
( ( sdtasdt0(xm,xr) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xm,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21370,c_93,c_19732]) ).
tcf(c_21376,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xm,xr),sz00)) = sdtasdt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_21369,c_93,c_19732]) ).
tcf(c_21377,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21368,c_93,c_19732]) ).
tcf(c_21385,plain,
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(xm,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19797,c_143]) ).
tcf(c_21387,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(sdtasdt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_19797,c_63]) ).
tcf(c_21388,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ( sdtpldt0(sdtasdt0(xm,xr),X0) != sdtasdt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_19797,c_69]) ).
tcf(c_21389,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtpldt0(sdtasdt0(xm,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19797,c_61]) ).
tcf(c_21391,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_19797,c_70]) ).
tcf(c_21392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xr),X0),sdtasdt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19797,c_61]) ).
tcf(c_21393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_19797,c_63]) ).
tcf(c_21394,plain,
sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_21385,c_93,c_19732]) ).
tcf(c_21395,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21391,c_93,c_19732]) ).
tcf(c_21399,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xm,xr),X0) != sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21388,c_93,c_19732]) ).
tcf(c_21403,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xr),X0),sdtasdt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21392,c_93,c_19732]) ).
tcf(c_21408,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtpldt0(sdtasdt0(xm,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21389,c_93,c_19732]) ).
tcf(c_21413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21393,c_93,c_19732]) ).
tcf(c_21418,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21387,c_93,c_19732]) ).
tcf(c_21478,plain,
( ( sdtpldt0(sdtasdt0(xm,xr),sdtmndt0(sdtasdt0(xm,xr),sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_21394,c_104]) ).
tcf(c_21480,plain,
( ( sdtpldt0(sdtasdt0(xm,xr),sK0(sdtasdt0(xm,xr),sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_21394,c_66]) ).
tcf(c_21481,plain,
sdtpldt0(sdtasdt0(xm,xr),sK0(sdtasdt0(xm,xr),sdtasdt0(xm,xr))) = sdtasdt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_21480,c_19732]) ).
tcf(c_21482,plain,
sdtpldt0(sdtasdt0(xm,xr),sdtmndt0(sdtasdt0(xm,xr),sdtasdt0(xm,xr))) = sdtasdt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_21478,c_19732]) ).
tcf(c_21487,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_20007,c_143]) ).
tcf(c_21489,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtpldt0(X0,sdtasdt0(xm,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_20007,c_63]) ).
tcf(c_21490,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_20007,c_69]) ).
tcf(c_21491,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_20007,c_61]) ).
tcf(c_21493,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ( sdtpldt0(X0,sdtasdt0(xm,xp)) != sdtasdt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_20007,c_70]) ).
tcf(c_21494,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,xp))
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_20007,c_61]) ).
tcf(c_21495,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xp)),sdtasdt0(xm,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_20007,c_63]) ).
tcf(c_21496,plain,
sdtlseqdt0(sz00,sdtasdt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_21487,c_93,c_19902]) ).
tcf(c_21497,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xm,xp)) != sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21493,c_93,c_19902]) ).
tcf(c_21501,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21490,c_93,c_19902]) ).
tcf(c_21505,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xp)),sdtasdt0(xm,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21495,c_93,c_19902]) ).
tcf(c_21510,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtpldt0(X0,sdtasdt0(xm,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21489,c_93,c_19902]) ).
tcf(c_21515,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,xp))
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21494,c_93,c_19902]) ).
tcf(c_21520,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21491,c_93,c_19902]) ).
tcf(c_21528,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_21496,c_99]) ).
tcf(c_21529,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xm,xp),sz00)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_21496,c_104]) ).
tcf(c_21530,plain,
( ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_21496,c_100]) ).
tcf(c_21531,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xm,xp))) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_21496,c_66]) ).
tcf(c_21532,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xm,xp))) = sdtasdt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_21531,c_93,c_19902]) ).
tcf(c_21533,plain,
( ( sdtasdt0(xm,xp) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21530,c_93,c_19902]) ).
tcf(c_21536,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xm,xp),sz00)) = sdtasdt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_21529,c_93,c_19902]) ).
tcf(c_21537,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21528,c_93,c_19902]) ).
tcf(c_21545,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3592,c_143]) ).
tcf(c_21547,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_3592,c_63]) ).
tcf(c_21548,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_3592,c_69]) ).
tcf(c_21549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3592,c_61]) ).
tcf(c_21551,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_3592,c_70]) ).
tcf(c_21552,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3592,c_61]) ).
tcf(c_21553,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_3592,c_63]) ).
tcf(c_21554,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_21545,c_93,c_3373]) ).
tcf(c_21555,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21551,c_93,c_3373]) ).
tcf(c_21559,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21548,c_93,c_3373]) ).
tcf(c_21563,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21552,c_93,c_3373]) ).
tcf(c_21568,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21549,c_93,c_3373]) ).
tcf(c_21573,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21553,c_93,c_3373]) ).
tcf(c_21578,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21547,c_93,c_3373]) ).
tcf(c_21587,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_20008,c_143]) ).
tcf(c_21589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_20008,c_63]) ).
tcf(c_21590,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ( sdtpldt0(sdtasdt0(xm,xp),X0) != sdtasdt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_20008,c_69]) ).
tcf(c_21591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtpldt0(sdtasdt0(xm,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_20008,c_61]) ).
tcf(c_21593,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_20008,c_70]) ).
tcf(c_21594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xp),X0),sdtasdt0(xm,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_20008,c_61]) ).
tcf(c_21595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,xp))
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_20008,c_63]) ).
tcf(c_21596,plain,
sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_21587,c_93,c_19902]) ).
tcf(c_21597,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21593,c_93,c_19902]) ).
tcf(c_21601,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xm,xp),X0) != sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21590,c_93,c_19902]) ).
tcf(c_21605,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xp),X0),sdtasdt0(xm,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21594,c_93,c_19902]) ).
tcf(c_21610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtpldt0(sdtasdt0(xm,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21591,c_93,c_19902]) ).
tcf(c_21615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,xp))
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21595,c_93,c_19902]) ).
tcf(c_21620,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21589,c_93,c_19902]) ).
tcf(c_21626,plain,
( ( sdtpldt0(sdtasdt0(xm,xp),sdtmndt0(sdtasdt0(xm,xp),sdtasdt0(xm,xp))) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_21596,c_104]) ).
tcf(c_21628,plain,
( ( sdtpldt0(sdtasdt0(xm,xp),sK0(sdtasdt0(xm,xp),sdtasdt0(xm,xp))) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_21596,c_66]) ).
tcf(c_21629,plain,
sdtpldt0(sdtasdt0(xm,xp),sK0(sdtasdt0(xm,xp),sdtasdt0(xm,xp))) = sdtasdt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_21628,c_19902]) ).
tcf(c_21630,plain,
sdtpldt0(sdtasdt0(xm,xp),sdtmndt0(sdtasdt0(xm,xp),sdtasdt0(xm,xp))) = sdtasdt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_21626,c_19902]) ).
tcf(c_21635,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20441,c_143]) ).
tcf(c_21637,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtpldt0(X0,sdtasdt0(xm,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20441,c_63]) ).
tcf(c_21638,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_20441,c_69]) ).
tcf(c_21639,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_20441,c_61]) ).
tcf(c_21641,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ( sdtpldt0(X0,sdtasdt0(xm,xq)) != sdtasdt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_20441,c_70]) ).
tcf(c_21642,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,xq))
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20441,c_61]) ).
tcf(c_21643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xq)),sdtasdt0(xm,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20441,c_63]) ).
tcf(c_21644,plain,
sdtlseqdt0(sz00,sdtasdt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_21635,c_93,c_20344]) ).
tcf(c_21645,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xm,xq)) != sdtasdt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21641,c_93,c_20344]) ).
tcf(c_21649,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21638,c_93,c_20344]) ).
tcf(c_21653,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xq)),sdtasdt0(xm,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21643,c_93,c_20344]) ).
tcf(c_21658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtpldt0(X0,sdtasdt0(xm,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21637,c_93,c_20344]) ).
tcf(c_21663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,xq))
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21642,c_93,c_20344]) ).
tcf(c_21668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21639,c_93,c_20344]) ).
tcf(c_21773,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_21644,c_99]) ).
tcf(c_21774,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xm,xq),sz00)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_21644,c_104]) ).
tcf(c_21775,plain,
( ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_21644,c_100]) ).
tcf(c_21776,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xm,xq))) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_21644,c_66]) ).
tcf(c_21777,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xm,xq))) = sdtasdt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_21776,c_93,c_20344]) ).
tcf(c_21778,plain,
( ( sdtasdt0(xm,xq) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21775,c_93,c_20344]) ).
tcf(c_21781,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xm,xq),sz00)) = sdtasdt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_21774,c_93,c_20344]) ).
tcf(c_21782,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21773,c_93,c_20344]) ).
tcf(c_21790,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20442,c_143]) ).
tcf(c_21792,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_20442,c_63]) ).
tcf(c_21793,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ( sdtpldt0(sdtasdt0(xm,xq),X0) != sdtasdt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_20442,c_69]) ).
tcf(c_21794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtpldt0(sdtasdt0(xm,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20442,c_61]) ).
tcf(c_21796,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_20442,c_70]) ).
tcf(c_21797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xq),X0),sdtasdt0(xm,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20442,c_61]) ).
tcf(c_21798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,xq))
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_20442,c_63]) ).
tcf(c_21799,plain,
sdtlseqdt0(sdtasdt0(xm,xq),sdtasdt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_21790,c_93,c_20344]) ).
tcf(c_21800,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21796,c_93,c_20344]) ).
tcf(c_21804,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xm,xq),X0) != sdtasdt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21793,c_93,c_20344]) ).
tcf(c_21808,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xq),X0),sdtasdt0(xm,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21797,c_93,c_20344]) ).
tcf(c_21813,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtpldt0(sdtasdt0(xm,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21794,c_93,c_20344]) ).
tcf(c_21818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,xq))
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21798,c_93,c_20344]) ).
tcf(c_21823,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21792,c_93,c_20344]) ).
tcf(c_21829,plain,
( ( sdtpldt0(sdtasdt0(xm,xq),sdtmndt0(sdtasdt0(xm,xq),sdtasdt0(xm,xq))) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_21799,c_104]) ).
tcf(c_21831,plain,
( ( sdtpldt0(sdtasdt0(xm,xq),sK0(sdtasdt0(xm,xq),sdtasdt0(xm,xq))) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_21799,c_66]) ).
tcf(c_21832,plain,
sdtpldt0(sdtasdt0(xm,xq),sK0(sdtasdt0(xm,xq),sdtasdt0(xm,xq))) = sdtasdt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_21831,c_20344]) ).
tcf(c_21833,plain,
sdtpldt0(sdtasdt0(xm,xq),sdtmndt0(sdtasdt0(xm,xq),sdtasdt0(xm,xq))) = sdtasdt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_21829,c_20344]) ).
tcf(c_21841,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xn) = sdtasdt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_3096]) ).
tcf(c_21842,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_65,c_3096]) ).
tcf(c_21843,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_3096]) ).
tcf(c_21844,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_81,c_3096]) ).
tcf(c_21845,plain,
sdtasdt0(xn,sz00) = sdtasdt0(sz00,xn),
inference(superposition,[status(thm)],[c_93,c_3096]) ).
tcf(c_21846,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_95,c_3096]) ).
tcf(c_21847,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),xn) = sdtasdt0(xn,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_3096]) ).
tcf(c_21848,plain,
sdtasdt0(sdtpldt0(xl,xm),xn) = sdtasdt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2931,c_3096]) ).
tcf(c_21849,plain,
sdtasdt0(sdtpldt0(xl,xn),xn) = sdtasdt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2971,c_3096]) ).
tcf(c_21850,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_3010,c_3096]) ).
tcf(c_21851,plain,
sdtasdt0(xn,xr) = sdtasdt0(xr,xn),
inference(superposition,[status(thm)],[c_4939,c_3096]) ).
tcf(c_21852,plain,
sdtasdt0(xn,xp) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_3837,c_3096]) ).
tcf(c_21853,plain,
sdtasdt0(xn,xq) = sdtasdt0(xq,xn),
inference(superposition,[status(thm)],[c_4938,c_3096]) ).
tcf(c_21854,plain,
sdtasdt0(sdtasdt0(xl,xr),xn) = sdtasdt0(xn,sdtasdt0(xl,xr)),
inference(superposition,[status(thm)],[c_16212,c_3096]) ).
tcf(c_21855,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_3373,c_3096]) ).
tcf(c_21856,plain,
sdtasdt0(sdtpldt0(xm,xn),xn) = sdtasdt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12823,c_3096]) ).
tcf(c_21857,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_5245,c_3096]) ).
tcf(c_21858,plain,
sdtasdt0(sdtpldt0(xl,xp),xn) = sdtasdt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_7844,c_3096]) ).
tcf(c_21859,plain,
sdtasdt0(sdtpldt0(xl,xq),xn) = sdtasdt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_9733,c_3096]) ).
tcf(c_21860,plain,
sdtasdt0(sdtpldt0(xl,xr),xn) = sdtasdt0(xn,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_10141,c_3096]) ).
tcf(c_21861,plain,
sdtasdt0(sdtpldt0(xm,xr),xn) = sdtasdt0(xn,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_12990,c_3096]) ).
tcf(c_21862,plain,
sdtasdt0(sdtpldt0(xm,xp),xn) = sdtasdt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_13190,c_3096]) ).
tcf(c_21863,plain,
sdtasdt0(sdtpldt0(xm,xq),xn) = sdtasdt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_13506,c_3096]) ).
tcf(c_21864,plain,
sdtasdt0(sdtasdt0(xl,xm),xn) = sdtasdt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_15012,c_3096]) ).
tcf(c_21865,plain,
sdtasdt0(sdtpldt0(xn,xr),xn) = sdtasdt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_15397,c_3096]) ).
tcf(c_21866,plain,
sdtasdt0(sdtpldt0(xp,xn),xn) = sdtasdt0(xn,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_15554,c_3096]) ).
tcf(c_21867,plain,
sdtasdt0(sdtpldt0(xn,xq),xn) = sdtasdt0(xn,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_15747,c_3096]) ).
tcf(c_21868,plain,
sdtasdt0(sdtasdt0(xl,xn),xn) = sdtasdt0(xn,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_16017,c_3096]) ).
tcf(c_21869,plain,
sdtasdt0(sdtasdt0(xl,xq),xn) = sdtasdt0(xn,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_16434,c_3096]) ).
tcf(c_21870,plain,
sdtasdt0(sdtasdt0(xm,xn),xn) = sdtasdt0(xn,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_19471,c_3096]) ).
tcf(c_21871,plain,
sdtasdt0(sdtasdt0(xm,xr),xn) = sdtasdt0(xn,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_19732,c_3096]) ).
tcf(c_21872,plain,
sdtasdt0(sdtasdt0(xm,xp),xn) = sdtasdt0(xn,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_19902,c_3096]) ).
tcf(c_21873,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_20102,c_3096]) ).
tcf(c_21874,plain,
sdtasdt0(sdtasdt0(xm,xq),xn) = sdtasdt0(xn,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_20344,c_3096]) ).
tcf(c_21968,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_21851,c_87]) ).
tcf(c_21969,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_21851,c_83]) ).
tcf(c_21970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xn,xr))
| ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_21851,c_85]) ).
tcf(c_21971,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_21851,c_90]) ).
tcf(c_21974,plain,
( ( sz00 = xr )
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_21851,c_88]) ).
tcf(c_21975,plain,
( doDivides0(xr,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_21851,c_140]) ).
tcf(c_21976,plain,
( aNaturalNumber0(sdtasdt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_21851,c_107]) ).
tcf(c_21977,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_21851,c_87]) ).
tcf(c_21978,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_21851,c_89]) ).
tcf(c_21979,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_21851,c_85]) ).
tcf(c_21980,plain,
aNaturalNumber0(sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_21976,c_4939,c_51]) ).
tcf(c_21981,plain,
doDivides0(xr,sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_21975,c_4939,c_51]) ).
tcf(c_21982,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xr))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21969,c_4939,c_51]) ).
tcf(c_21985,plain,
( ( sz00 = xr )
| ( xn = sz00 )
| ( sdtasdt0(xn,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21974,c_4939,c_51]) ).
tcf(c_21989,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21978,c_4939,c_51]) ).
tcf(c_21994,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21971,c_4939,c_51]) ).
tcf(c_21999,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21979,c_4939,c_51]) ).
tcf(c_22005,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21977,c_4939,c_51]) ).
tcf(c_22011,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xn,xr))
| ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21970,c_4939,c_51]) ).
tcf(c_22017,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21968,c_4939,c_51]) ).
tcf(c_22028,plain,
sdtasdt0(sdtasdt0(xn,xr),xn) = sdtasdt0(xn,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_21980,c_3096]) ).
tcf(c_22029,plain,
sdtasdt0(sdtasdt0(xn,xr),xm) = sdtasdt0(xm,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_21980,c_3095]) ).
tcf(c_22030,plain,
sdtasdt0(sdtasdt0(xn,xr),xl) = sdtasdt0(xl,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_21980,c_3094]) ).
tcf(c_22031,plain,
sdtpldt0(sdtasdt0(xn,xr),sz00) = sdtpldt0(sz00,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_21980,c_2815]) ).
tcf(c_22032,plain,
sdtpldt0(sdtasdt0(xn,xr),xn) = sdtpldt0(xn,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_21980,c_2811]) ).
tcf(c_22033,plain,
sdtpldt0(sdtasdt0(xn,xr),xm) = sdtpldt0(xm,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_21980,c_2810]) ).
tcf(c_22034,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xn,xr),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xn,xr)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21980,c_72]) ).
tcf(c_22035,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xn,xr))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xn,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21980,c_71]) ).
tcf(c_22036,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xn,xr)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xn,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21980,c_105]) ).
tcf(c_22037,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xn,xr)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xn,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21980,c_75]) ).
tcf(c_22038,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,xr),X0),sdtasdt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21980,c_153]) ).
tcf(c_22039,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xn,xr),X0),sdtasdt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21980,c_146]) ).
tcf(c_22040,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,xr),X0) = sdtasdt0(X0,sdtasdt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21980,c_106]) ).
tcf(c_22041,plain,
sdtpldt0(sdtasdt0(xn,xr),xl) = sdtpldt0(xl,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_21980,c_2809]) ).
tcf(c_22042,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,xr),X0) = sdtpldt0(X0,sdtasdt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21980,c_76]) ).
tcf(c_22043,plain,
sdtasdt0(sz00,sdtasdt0(xn,xr)) = sz00,
inference(superposition,[status(thm)],[c_21980,c_92]) ).
tcf(c_22044,plain,
sdtasdt0(sdtasdt0(xn,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_21980,c_91]) ).
tcf(c_22045,plain,
sdtpldt0(sz00,sdtasdt0(xn,xr)) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_21980,c_74]) ).
tcf(c_22046,plain,
sdtpldt0(sdtasdt0(xn,xr),sz00) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_21980,c_73]) ).
tcf(c_22516,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21981,c_79]) ).
tcf(c_22517,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xr),xr)) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21981,c_96]) ).
tcf(c_22518,plain,
( ( sdtasdt0(xr,sK1(xr,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21981,c_82]) ).
tcf(c_22519,plain,
sdtasdt0(xr,sK1(xr,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_22518,c_4939,c_21980]) ).
tcf(c_22520,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22516,c_4939,c_21980]) ).
tcf(c_22524,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xr),xr)) = sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22517,c_4939,c_21980]) ).
tcf(c_22528,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xn))
| ( sz00 = xp )
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_21852,c_87]) ).
tcf(c_22529,plain,
( sdtlseqdt0(xn,sdtasdt0(xp,xn))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_21852,c_83]) ).
tcf(c_22530,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xp,xn))
| ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_21852,c_85]) ).
tcf(c_22531,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_21852,c_90]) ).
tcf(c_22534,plain,
( ( sz00 = xp )
| ( xn = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xp,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_21852,c_88]) ).
tcf(c_22535,plain,
( doDivides0(xn,sdtasdt0(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_21852,c_140]) ).
tcf(c_22536,plain,
( aNaturalNumber0(sdtasdt0(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_21852,c_107]) ).
tcf(c_22537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_21852,c_87]) ).
tcf(c_22538,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_21852,c_89]) ).
tcf(c_22539,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_21852,c_85]) ).
tcf(c_22540,plain,
aNaturalNumber0(sdtasdt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_22536,c_3837,c_51]) ).
tcf(c_22541,plain,
doDivides0(xn,sdtasdt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_22535,c_3837,c_51]) ).
tcf(c_22542,plain,
( sdtlseqdt0(xn,sdtasdt0(xp,xn))
| ( sz00 = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22529,c_3837,c_51]) ).
tcf(c_22545,plain,
( ( sz00 = xp )
| ( xn = sz00 )
| ( sdtasdt0(xp,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22534,c_3837,c_51]) ).
tcf(c_22549,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22538,c_3837,c_51]) ).
tcf(c_22554,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22531,c_3837,c_51]) ).
tcf(c_22559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22539,c_3837,c_51]) ).
tcf(c_22565,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22537,c_3837,c_51]) ).
tcf(c_22571,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xp,xn))
| ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22530,c_3837,c_51]) ).
tcf(c_22577,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xn))
| ( sz00 = xp )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22528,c_3837,c_51]) ).
tcf(c_22673,plain,
sdtasdt0(sdtasdt0(xp,xn),xn) = sdtasdt0(xn,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_22540,c_3096]) ).
tcf(c_22674,plain,
sdtasdt0(sdtasdt0(xp,xn),xm) = sdtasdt0(xm,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_22540,c_3095]) ).
tcf(c_22675,plain,
sdtasdt0(sdtasdt0(xp,xn),xl) = sdtasdt0(xl,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_22540,c_3094]) ).
tcf(c_22676,plain,
sdtpldt0(sdtasdt0(xp,xn),sz00) = sdtpldt0(sz00,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_22540,c_2815]) ).
tcf(c_22677,plain,
sdtpldt0(sdtasdt0(xp,xn),xn) = sdtpldt0(xn,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_22540,c_2811]) ).
tcf(c_22678,plain,
sdtpldt0(sdtasdt0(xp,xn),xm) = sdtpldt0(xm,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_22540,c_2810]) ).
tcf(c_22679,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xp,xn),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xp,xn)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22540,c_72]) ).
tcf(c_22680,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xp,xn))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xp,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22540,c_71]) ).
tcf(c_22681,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xp,xn)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xp,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22540,c_105]) ).
tcf(c_22682,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xp,xn)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xp,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22540,c_75]) ).
tcf(c_22683,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xp,xn),X0),sdtasdt0(xp,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22540,c_153]) ).
tcf(c_22684,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xp,xn),X0),sdtasdt0(xp,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22540,c_146]) ).
tcf(c_22685,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,xn),X0) = sdtasdt0(X0,sdtasdt0(xp,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22540,c_106]) ).
tcf(c_22686,plain,
sdtpldt0(sdtasdt0(xp,xn),xl) = sdtpldt0(xl,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_22540,c_2809]) ).
tcf(c_22687,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,xn),X0) = sdtpldt0(X0,sdtasdt0(xp,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22540,c_76]) ).
tcf(c_22688,plain,
sdtasdt0(sz00,sdtasdt0(xp,xn)) = sz00,
inference(superposition,[status(thm)],[c_22540,c_92]) ).
tcf(c_22689,plain,
sdtasdt0(sdtasdt0(xp,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_22540,c_91]) ).
tcf(c_22690,plain,
sdtpldt0(sz00,sdtasdt0(xp,xn)) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_22540,c_74]) ).
tcf(c_22691,plain,
sdtpldt0(sdtasdt0(xp,xn),sz00) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_22540,c_73]) ).
tcf(c_22743,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22541,c_79]) ).
tcf(c_22744,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sdtasdt0(xp,xn),xn)) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22541,c_96]) ).
tcf(c_22745,plain,
( ( sdtasdt0(xn,sK1(xn,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22541,c_82]) ).
tcf(c_22746,plain,
sdtasdt0(xn,sK1(xn,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_22745,c_51,c_22540]) ).
tcf(c_22747,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22743,c_51,c_22540]) ).
tcf(c_22751,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sdtasdt0(xp,xn),xn)) = sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22744,c_51,c_22540]) ).
tcf(c_22824,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xq))
| ( xn = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_21853,c_87]) ).
tcf(c_22825,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ( xn = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_21853,c_83]) ).
tcf(c_22826,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sdtasdt0(xn,xq))
| ( sz00 = xq )
| ( X0 = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_21853,c_85]) ).
tcf(c_22827,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_21853,c_90]) ).
tcf(c_22830,plain,
( ( sz00 = xq )
| ( xn = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xn,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_21853,c_88]) ).
tcf(c_22831,plain,
( doDivides0(xq,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_21853,c_140]) ).
tcf(c_22832,plain,
( aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_21853,c_107]) ).
tcf(c_22833,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_21853,c_87]) ).
tcf(c_22834,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sdtasdt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_21853,c_89]) ).
tcf(c_22835,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_21853,c_85]) ).
tcf(c_22836,plain,
aNaturalNumber0(sdtasdt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_22832,c_4938,c_51]) ).
tcf(c_22837,plain,
doDivides0(xq,sdtasdt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_22831,c_4938,c_51]) ).
tcf(c_22838,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22825,c_4938,c_51]) ).
tcf(c_22841,plain,
( ( sz00 = xq )
| ( xn = sz00 )
| ( sdtasdt0(xn,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22830,c_4938,c_51]) ).
tcf(c_22845,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22834,c_4938,c_51]) ).
tcf(c_22850,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22827,c_4938,c_51]) ).
tcf(c_22855,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22835,c_4938,c_51]) ).
tcf(c_22861,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22833,c_4938,c_51]) ).
tcf(c_22867,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sdtasdt0(xn,xq))
| ( sz00 = xq )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22826,c_4938,c_51]) ).
tcf(c_22873,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xq))
| ( xn = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22824,c_4938,c_51]) ).
tcf(c_22884,plain,
sdtasdt0(sdtasdt0(xn,xq),xn) = sdtasdt0(xn,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_22836,c_3096]) ).
tcf(c_22885,plain,
sdtasdt0(sdtasdt0(xn,xq),xm) = sdtasdt0(xm,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_22836,c_3095]) ).
tcf(c_22886,plain,
sdtasdt0(sdtasdt0(xn,xq),xl) = sdtasdt0(xl,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_22836,c_3094]) ).
tcf(c_22887,plain,
sdtpldt0(sdtasdt0(xn,xq),sz00) = sdtpldt0(sz00,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_22836,c_2815]) ).
tcf(c_22888,plain,
sdtpldt0(sdtasdt0(xn,xq),xn) = sdtpldt0(xn,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_22836,c_2811]) ).
tcf(c_22889,plain,
sdtpldt0(sdtasdt0(xn,xq),xm) = sdtpldt0(xm,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_22836,c_2810]) ).
tcf(c_22890,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xn,xq),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xn,xq)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22836,c_72]) ).
tcf(c_22891,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xn,xq))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xn,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22836,c_71]) ).
tcf(c_22892,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xn,xq)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xn,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22836,c_105]) ).
tcf(c_22893,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xn,xq)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xn,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22836,c_75]) ).
tcf(c_22894,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,xq),X0),sdtasdt0(xn,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22836,c_153]) ).
tcf(c_22895,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xn,xq),X0),sdtasdt0(xn,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22836,c_146]) ).
tcf(c_22896,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,xq),X0) = sdtasdt0(X0,sdtasdt0(xn,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22836,c_106]) ).
tcf(c_22897,plain,
sdtpldt0(sdtasdt0(xn,xq),xl) = sdtpldt0(xl,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_22836,c_2809]) ).
tcf(c_22898,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,xq),X0) = sdtpldt0(X0,sdtasdt0(xn,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22836,c_76]) ).
tcf(c_22899,plain,
sdtasdt0(sz00,sdtasdt0(xn,xq)) = sz00,
inference(superposition,[status(thm)],[c_22836,c_92]) ).
tcf(c_22900,plain,
sdtasdt0(sdtasdt0(xn,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_22836,c_91]) ).
tcf(c_22901,plain,
sdtpldt0(sz00,sdtasdt0(xn,xq)) = sdtasdt0(xn,xq),
inference(superposition,[status(thm)],[c_22836,c_74]) ).
tcf(c_22902,plain,
sdtpldt0(sdtasdt0(xn,xq),sz00) = sdtasdt0(xn,xq),
inference(superposition,[status(thm)],[c_22836,c_73]) ).
tcf(c_22931,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22837,c_79]) ).
tcf(c_22932,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xn,xq),xq)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22837,c_96]) ).
tcf(c_22933,plain,
( ( sdtasdt0(xq,sK1(xq,sdtasdt0(xn,xq))) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22837,c_82]) ).
tcf(c_22934,plain,
sdtasdt0(xq,sK1(xq,sdtasdt0(xn,xq))) = sdtasdt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_22933,c_4938,c_22836]) ).
tcf(c_22935,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22931,c_4938,c_22836]) ).
tcf(c_22939,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xn,xq),xq)) = sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22932,c_4938,c_22836]) ).
tcf(c_22949,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_4076,c_63]) ).
tcf(c_22950,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sz00))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_4076,c_69]) ).
tcf(c_22951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,X0))
| ( sdtmndt0(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sz00))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,xm),sz00),X0) ),
inference(superposition,[status(thm)],[c_4076,c_61]) ).
tcf(c_22952,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sz00))
| ~ doDivides0(X0,sdtmndt0(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_4076,c_78]) ).
tcf(c_22953,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sz00))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),sz00)) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_4076,c_70]) ).
tcf(c_22954,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xm))
| ( sdtmndt0(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_4076,c_61]) ).
tcf(c_22955,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),sz00)),sdtpldt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_4076,c_63]) ).
tcf(c_22956,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sz00))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),sz00)) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22953,c_93]) ).
tcf(c_22961,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sz00))
| ~ doDivides0(X0,sdtmndt0(sdtpldt0(xl,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22952,c_93]) ).
tcf(c_22967,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sz00))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22950,c_93]) ).
tcf(c_22972,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),sz00)),sdtpldt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22955,c_93]) ).
tcf(c_22978,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22949,c_93]) ).
tcf(c_22984,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xm))
| ( sdtmndt0(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22954,c_93]) ).
tcf(c_22990,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,X0))
| ( sdtmndt0(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sz00))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,xm),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22951,c_93]) ).
tcf(c_23000,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22043,c_87]) ).
tcf(c_23003,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtasdt0(X0,sdtasdt0(xn,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_22043,c_90]) ).
tcf(c_23009,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22043,c_87]) ).
tcf(c_23012,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23003,c_93,c_21980]) ).
tcf(c_23017,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23009,c_93,c_21980]) ).
tcf(c_23023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23000,c_93,c_21980]) ).
tcf(c_23031,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22044,c_85]) ).
tcf(c_23036,plain,
( doDivides0(sdtasdt0(xn,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22044,c_140]) ).
tcf(c_23039,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtasdt0(sdtasdt0(xn,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_22044,c_89]) ).
tcf(c_23040,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22044,c_85]) ).
tcf(c_23041,plain,
doDivides0(sdtasdt0(xn,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_23036,c_93,c_21980]) ).
tcf(c_23042,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23039,c_93,c_21980]) ).
tcf(c_23047,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23040,c_93,c_21980]) ).
tcf(c_23053,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23031,c_93,c_21980]) ).
tcf(c_23059,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23041,c_79]) ).
tcf(c_23060,plain,
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xr),sdtsldt0(sz00,sdtasdt0(xn,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23041,c_96]) ).
tcf(c_23061,plain,
( ( sdtasdt0(sdtasdt0(xn,xr),sK1(sdtasdt0(xn,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23041,c_82]) ).
tcf(c_23062,plain,
sdtasdt0(sdtasdt0(xn,xr),sK1(sdtasdt0(xn,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_23061,c_93,c_21980]) ).
tcf(c_23063,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23059,c_93,c_21980]) ).
tcf(c_23067,plain,
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xr),sdtsldt0(sz00,sdtasdt0(xn,xr))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23060,c_93,c_21980]) ).
tcf(c_23070,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xn)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22688,c_87]) ).
tcf(c_23073,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ( sdtasdt0(X0,sdtasdt0(xp,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_22688,c_90]) ).
tcf(c_23079,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xn)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22688,c_87]) ).
tcf(c_23082,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23073,c_93,c_22540]) ).
tcf(c_23087,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xn)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23079,c_93,c_22540]) ).
tcf(c_23093,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xn)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23070,c_93,c_22540]) ).
tcf(c_23101,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22689,c_85]) ).
tcf(c_23106,plain,
( doDivides0(sdtasdt0(xp,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22689,c_140]) ).
tcf(c_23109,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ( sdtasdt0(sdtasdt0(xp,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_22689,c_89]) ).
tcf(c_23110,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xn),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22689,c_85]) ).
tcf(c_23111,plain,
doDivides0(sdtasdt0(xp,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_23106,c_93,c_22540]) ).
tcf(c_23112,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23109,c_93,c_22540]) ).
tcf(c_23117,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xn),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23110,c_93,c_22540]) ).
tcf(c_23123,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23101,c_93,c_22540]) ).
tcf(c_23129,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ doDivides0(X0,sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_23111,c_79]) ).
tcf(c_23130,plain,
( ( sdtasdt0(xp,xn) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xn),sdtsldt0(sz00,sdtasdt0(xp,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_23111,c_96]) ).
tcf(c_23131,plain,
( ( sdtasdt0(sdtasdt0(xp,xn),sK1(sdtasdt0(xp,xn),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_23111,c_82]) ).
tcf(c_23132,plain,
sdtasdt0(sdtasdt0(xp,xn),sK1(sdtasdt0(xp,xn),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_23131,c_93,c_22540]) ).
tcf(c_23133,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23129,c_93,c_22540]) ).
tcf(c_23137,plain,
( ( sdtasdt0(xp,xn) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xn),sdtsldt0(sz00,sdtasdt0(xp,xn))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23130,c_93,c_22540]) ).
tcf(c_23207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22899,c_87]) ).
tcf(c_23210,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ( sdtasdt0(X0,sdtasdt0(xn,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_22899,c_90]) ).
tcf(c_23216,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22899,c_87]) ).
tcf(c_23219,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23210,c_93,c_22836]) ).
tcf(c_23224,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23216,c_93,c_22836]) ).
tcf(c_23230,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23207,c_93,c_22836]) ).
tcf(c_23238,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22900,c_85]) ).
tcf(c_23243,plain,
( doDivides0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22900,c_140]) ).
tcf(c_23246,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ( sdtasdt0(sdtasdt0(xn,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_22900,c_89]) ).
tcf(c_23247,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22900,c_85]) ).
tcf(c_23248,plain,
doDivides0(sdtasdt0(xn,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_23243,c_93,c_22836]) ).
tcf(c_23249,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23246,c_93,c_22836]) ).
tcf(c_23254,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23247,c_93,c_22836]) ).
tcf(c_23260,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23238,c_93,c_22836]) ).
tcf(c_23266,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ doDivides0(X0,sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_23248,c_79]) ).
tcf(c_23267,plain,
( ( sdtasdt0(xn,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xq),sdtsldt0(sz00,sdtasdt0(xn,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_23248,c_96]) ).
tcf(c_23268,plain,
( ( sdtasdt0(sdtasdt0(xn,xq),sK1(sdtasdt0(xn,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_23248,c_82]) ).
tcf(c_23269,plain,
sdtasdt0(sdtasdt0(xn,xq),sK1(sdtasdt0(xn,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_23268,c_93,c_22836]) ).
tcf(c_23270,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23266,c_93,c_22836]) ).
tcf(c_23274,plain,
( ( sdtasdt0(xn,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xq),sdtsldt0(sz00,sdtasdt0(xn,xq))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23267,c_93,c_22836]) ).
tcf(c_23281,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21982,c_99]) ).
tcf(c_23282,plain,
( ( xn = sz00 )
| ( sdtpldt0(xr,sdtmndt0(sdtasdt0(xn,xr),xr)) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21982,c_104]) ).
tcf(c_23283,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_21982,c_100]) ).
tcf(c_23284,plain,
( ( xn = sz00 )
| ( sdtpldt0(xr,sK0(xr,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21982,c_66]) ).
tcf(c_23285,plain,
( ( xn = sz00 )
| ( sdtpldt0(xr,sK0(xr,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23284,c_4939,c_21980]) ).
tcf(c_23288,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,xr) = xr )
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23283,c_4939,c_21980]) ).
tcf(c_23292,plain,
( ( xn = sz00 )
| ( sdtpldt0(xr,sdtmndt0(sdtasdt0(xn,xr),xr)) = sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23282,c_4939,c_21980]) ).
tcf(c_23295,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23281,c_4939,c_21980]) ).
tcf(c_23305,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xn))
| ( sz00 = xp )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22542,c_99]) ).
tcf(c_23306,plain,
( ( sz00 = xp )
| ( sdtpldt0(xn,sdtmndt0(sdtasdt0(xp,xn),xn)) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22542,c_104]) ).
tcf(c_23307,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),xn) ),
inference(superposition,[status(thm)],[c_22542,c_100]) ).
tcf(c_23308,plain,
( ( sz00 = xp )
| ( sdtpldt0(xn,sK0(xn,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22542,c_66]) ).
tcf(c_23309,plain,
( ( sz00 = xp )
| ( sdtpldt0(xn,sK0(xn,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23308,c_51,c_22540]) ).
tcf(c_23312,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,xn) = xn )
| ~ sdtlseqdt0(sdtasdt0(xp,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23307,c_51,c_22540]) ).
tcf(c_23316,plain,
( ( sz00 = xp )
| ( sdtpldt0(xn,sdtmndt0(sdtasdt0(xp,xn),xn)) = sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23306,c_51,c_22540]) ).
tcf(c_23319,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xn))
| ( sz00 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23305,c_51,c_22540]) ).
tcf(c_23329,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xq))
| ( xn = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22838,c_99]) ).
tcf(c_23330,plain,
( ( xn = sz00 )
| ( sdtpldt0(xq,sdtmndt0(sdtasdt0(xn,xq),xq)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22838,c_104]) ).
tcf(c_23331,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),xq) ),
inference(superposition,[status(thm)],[c_22838,c_100]) ).
tcf(c_23332,plain,
( ( xn = sz00 )
| ( sdtpldt0(xq,sK0(xq,sdtasdt0(xn,xq))) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22838,c_66]) ).
tcf(c_23333,plain,
( ( xn = sz00 )
| ( sdtpldt0(xq,sK0(xq,sdtasdt0(xn,xq))) = sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23332,c_4938,c_22836]) ).
tcf(c_23336,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,xq) = xq )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23331,c_4938,c_22836]) ).
tcf(c_23340,plain,
( ( xn = sz00 )
| ( sdtpldt0(xq,sdtmndt0(sdtasdt0(xn,xq),xq)) = sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23330,c_4938,c_22836]) ).
tcf(c_23343,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xq))
| ( xn = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23329,c_4938,c_22836]) ).
tcf(c_23353,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22045,c_143]) ).
tcf(c_23355,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(X0,sdtasdt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22045,c_63]) ).
tcf(c_23356,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_22045,c_69]) ).
tcf(c_23357,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_22045,c_61]) ).
tcf(c_23359,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtpldt0(X0,sdtasdt0(xn,xr)) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_22045,c_70]) ).
tcf(c_23360,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22045,c_61]) ).
tcf(c_23361,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xr)),sdtasdt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22045,c_63]) ).
tcf(c_23362,plain,
sdtlseqdt0(sz00,sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_23353,c_93,c_21980]) ).
tcf(c_23363,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xn,xr)) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23359,c_93,c_21980]) ).
tcf(c_23367,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23356,c_93,c_21980]) ).
tcf(c_23371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xr)),sdtasdt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23361,c_93,c_21980]) ).
tcf(c_23376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(X0,sdtasdt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23355,c_93,c_21980]) ).
tcf(c_23381,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23360,c_93,c_21980]) ).
tcf(c_23386,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23357,c_93,c_21980]) ).
tcf(c_23394,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23362,c_99]) ).
tcf(c_23395,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xn,xr),sz00)) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23362,c_104]) ).
tcf(c_23396,plain,
( ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),sz00) ),
inference(superposition,[status(thm)],[c_23362,c_100]) ).
tcf(c_23397,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23362,c_66]) ).
tcf(c_23398,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_23397,c_93,c_21980]) ).
tcf(c_23399,plain,
( ( sdtasdt0(xn,xr) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xn,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23396,c_93,c_21980]) ).
tcf(c_23402,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xn,xr),sz00)) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_23395,c_93,c_21980]) ).
tcf(c_23403,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23394,c_93,c_21980]) ).
tcf(c_23411,plain,
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22046,c_143]) ).
tcf(c_23413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_22046,c_63]) ).
tcf(c_23414,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtpldt0(sdtasdt0(xn,xr),X0) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_22046,c_69]) ).
tcf(c_23415,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(sdtasdt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22046,c_61]) ).
tcf(c_23417,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_22046,c_70]) ).
tcf(c_23418,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xr),X0),sdtasdt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22046,c_61]) ).
tcf(c_23419,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22046,c_63]) ).
tcf(c_23420,plain,
sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_23411,c_93,c_21980]) ).
tcf(c_23421,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23417,c_93,c_21980]) ).
tcf(c_23425,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xn,xr),X0) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23414,c_93,c_21980]) ).
tcf(c_23429,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xr),X0),sdtasdt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23418,c_93,c_21980]) ).
tcf(c_23434,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(sdtasdt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23415,c_93,c_21980]) ).
tcf(c_23439,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23419,c_93,c_21980]) ).
tcf(c_23444,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23413,c_93,c_21980]) ).
tcf(c_23450,plain,
( ( sdtpldt0(sdtasdt0(xn,xr),sdtmndt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23420,c_104]) ).
tcf(c_23452,plain,
( ( sdtpldt0(sdtasdt0(xn,xr),sK0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23420,c_66]) ).
tcf(c_23453,plain,
sdtpldt0(sdtasdt0(xn,xr),sK0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_23452,c_21980]) ).
tcf(c_23454,plain,
sdtpldt0(sdtasdt0(xn,xr),sdtmndt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_23450,c_21980]) ).
tcf(c_23461,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xn),xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),xn)) ),
inference(superposition,[status(thm)],[c_4077,c_63]) ).
tcf(c_23462,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,xn),xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),xn))
| ( sdtpldt0(xn,X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_4077,c_69]) ).
tcf(c_23463,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xn,X0))
| ( sdtmndt0(sdtpldt0(xl,xn),xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),xn))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,xn),xn),X0) ),
inference(superposition,[status(thm)],[c_4077,c_61]) ).
tcf(c_23464,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),xn))
| ~ doDivides0(X0,sdtmndt0(sdtpldt0(xl,xn),xn)) ),
inference(superposition,[status(thm)],[c_4077,c_78]) ).
tcf(c_23465,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),xn))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xn),xn)) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_4077,c_70]) ).
tcf(c_23466,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xl,xn))
| ( sdtmndt0(sdtpldt0(xl,xn),xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),xn))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,xn),xn)) ),
inference(superposition,[status(thm)],[c_4077,c_61]) ).
tcf(c_23467,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xn),xn)),sdtpldt0(xl,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),xn)) ),
inference(superposition,[status(thm)],[c_4077,c_63]) ).
tcf(c_23468,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),xn))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xn),xn)) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23465,c_51]) ).
tcf(c_23473,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),xn))
| ~ doDivides0(X0,sdtmndt0(sdtpldt0(xl,xn),xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23464,c_51]) ).
tcf(c_23479,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,xn),xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),xn))
| ( sdtpldt0(xn,X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23462,c_51]) ).
tcf(c_23484,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xn),xn)),sdtpldt0(xl,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23467,c_51]) ).
tcf(c_23490,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xn),xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23461,c_51]) ).
tcf(c_23496,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xl,xn))
| ( sdtmndt0(sdtpldt0(xl,xn),xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),xn))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,xn),xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23466,c_51]) ).
tcf(c_23502,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xn,X0))
| ( sdtmndt0(sdtpldt0(xl,xn),xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),xn))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,xn),xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23463,c_51]) ).
tcf(c_23519,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22690,c_143]) ).
tcf(c_23521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtpldt0(X0,sdtasdt0(xp,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22690,c_63]) ).
tcf(c_23522,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_22690,c_69]) ).
tcf(c_23523,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_22690,c_61]) ).
tcf(c_23525,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ( sdtpldt0(X0,sdtasdt0(xp,xn)) != sdtasdt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_22690,c_70]) ).
tcf(c_23526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22690,c_61]) ).
tcf(c_23527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xn)),sdtasdt0(xp,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22690,c_63]) ).
tcf(c_23528,plain,
sdtlseqdt0(sz00,sdtasdt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_23519,c_93,c_22540]) ).
tcf(c_23529,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xp,xn)) != sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23525,c_93,c_22540]) ).
tcf(c_23533,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23522,c_93,c_22540]) ).
tcf(c_23537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xn)),sdtasdt0(xp,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23527,c_93,c_22540]) ).
tcf(c_23542,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtpldt0(X0,sdtasdt0(xp,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23521,c_93,c_22540]) ).
tcf(c_23547,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23526,c_93,c_22540]) ).
tcf(c_23552,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23523,c_93,c_22540]) ).
tcf(c_23560,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_23528,c_99]) ).
tcf(c_23561,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xp,xn),sz00)) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_23528,c_104]) ).
tcf(c_23562,plain,
( ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),sz00) ),
inference(superposition,[status(thm)],[c_23528,c_100]) ).
tcf(c_23563,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_23528,c_66]) ).
tcf(c_23564,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_23563,c_93,c_22540]) ).
tcf(c_23565,plain,
( ( sdtasdt0(xp,xn) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xp,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23562,c_93,c_22540]) ).
tcf(c_23568,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xp,xn),sz00)) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_23561,c_93,c_22540]) ).
tcf(c_23569,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23560,c_93,c_22540]) ).
tcf(c_23639,plain,
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(xp,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22691,c_143]) ).
tcf(c_23641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_22691,c_63]) ).
tcf(c_23642,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ( sdtpldt0(sdtasdt0(xp,xn),X0) != sdtasdt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_22691,c_69]) ).
tcf(c_23643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtpldt0(sdtasdt0(xp,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22691,c_61]) ).
tcf(c_23645,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_22691,c_70]) ).
tcf(c_23646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xn),X0),sdtasdt0(xp,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22691,c_61]) ).
tcf(c_23647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_22691,c_63]) ).
tcf(c_23648,plain,
sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_23639,c_93,c_22540]) ).
tcf(c_23649,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23645,c_93,c_22540]) ).
tcf(c_23653,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xp,xn),X0) != sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23642,c_93,c_22540]) ).
tcf(c_23657,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xn),X0),sdtasdt0(xp,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23646,c_93,c_22540]) ).
tcf(c_23662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtpldt0(sdtasdt0(xp,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23643,c_93,c_22540]) ).
tcf(c_23667,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23647,c_93,c_22540]) ).
tcf(c_23672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23641,c_93,c_22540]) ).
tcf(c_23678,plain,
( ( sdtpldt0(sdtasdt0(xp,xn),sdtmndt0(sdtasdt0(xp,xn),sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_23648,c_104]) ).
tcf(c_23680,plain,
( ( sdtpldt0(sdtasdt0(xp,xn),sK0(sdtasdt0(xp,xn),sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_23648,c_66]) ).
tcf(c_23681,plain,
sdtpldt0(sdtasdt0(xp,xn),sK0(sdtasdt0(xp,xn),sdtasdt0(xp,xn))) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_23680,c_22540]) ).
tcf(c_23682,plain,
sdtpldt0(sdtasdt0(xp,xn),sdtmndt0(sdtasdt0(xp,xn),sdtasdt0(xp,xn))) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_23678,c_22540]) ).
tcf(c_23687,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22901,c_143]) ).
tcf(c_23689,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtpldt0(X0,sdtasdt0(xn,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22901,c_63]) ).
tcf(c_23690,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_22901,c_69]) ).
tcf(c_23691,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),X0) ),
inference(superposition,[status(thm)],[c_22901,c_61]) ).
tcf(c_23693,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ( sdtpldt0(X0,sdtasdt0(xn,xq)) != sdtasdt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_22901,c_70]) ).
tcf(c_23694,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xq))
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22901,c_61]) ).
tcf(c_23695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xq)),sdtasdt0(xn,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22901,c_63]) ).
tcf(c_23696,plain,
sdtlseqdt0(sz00,sdtasdt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_23687,c_93,c_22836]) ).
tcf(c_23697,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xn,xq)) != sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23693,c_93,c_22836]) ).
tcf(c_23701,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23690,c_93,c_22836]) ).
tcf(c_23705,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xq)),sdtasdt0(xn,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23695,c_93,c_22836]) ).
tcf(c_23710,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtpldt0(X0,sdtasdt0(xn,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23689,c_93,c_22836]) ).
tcf(c_23715,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xq))
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23694,c_93,c_22836]) ).
tcf(c_23720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23691,c_93,c_22836]) ).
tcf(c_23728,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_23696,c_99]) ).
tcf(c_23729,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xn,xq),sz00)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_23696,c_104]) ).
tcf(c_23730,plain,
( ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_23696,c_100]) ).
tcf(c_23731,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,xq))) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_23696,c_66]) ).
tcf(c_23732,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,xq))) = sdtasdt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_23731,c_93,c_22836]) ).
tcf(c_23733,plain,
( ( sdtasdt0(xn,xq) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23730,c_93,c_22836]) ).
tcf(c_23736,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xn,xq),sz00)) = sdtasdt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_23729,c_93,c_22836]) ).
tcf(c_23737,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23728,c_93,c_22836]) ).
tcf(c_23745,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22902,c_143]) ).
tcf(c_23747,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),X0) ),
inference(superposition,[status(thm)],[c_22902,c_63]) ).
tcf(c_23748,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ( sdtpldt0(sdtasdt0(xn,xq),X0) != sdtasdt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_22902,c_69]) ).
tcf(c_23749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtpldt0(sdtasdt0(xn,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22902,c_61]) ).
tcf(c_23751,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_22902,c_70]) ).
tcf(c_23752,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xq),X0),sdtasdt0(xn,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22902,c_61]) ).
tcf(c_23753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xq))
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_22902,c_63]) ).
tcf(c_23754,plain,
sdtlseqdt0(sdtasdt0(xn,xq),sdtasdt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_23745,c_93,c_22836]) ).
tcf(c_23755,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23751,c_93,c_22836]) ).
tcf(c_23759,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xn,xq),X0) != sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23748,c_93,c_22836]) ).
tcf(c_23763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xq),X0),sdtasdt0(xn,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23752,c_93,c_22836]) ).
tcf(c_23768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtpldt0(sdtasdt0(xn,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23749,c_93,c_22836]) ).
tcf(c_23773,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xq))
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23753,c_93,c_22836]) ).
tcf(c_23778,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23747,c_93,c_22836]) ).
tcf(c_23784,plain,
( ( sdtpldt0(sdtasdt0(xn,xq),sdtmndt0(sdtasdt0(xn,xq),sdtasdt0(xn,xq))) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_23754,c_104]) ).
tcf(c_23786,plain,
( ( sdtpldt0(sdtasdt0(xn,xq),sK0(sdtasdt0(xn,xq),sdtasdt0(xn,xq))) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_23754,c_66]) ).
tcf(c_23787,plain,
sdtpldt0(sdtasdt0(xn,xq),sK0(sdtasdt0(xn,xq),sdtasdt0(xn,xq))) = sdtasdt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_23786,c_22836]) ).
tcf(c_23788,plain,
sdtpldt0(sdtasdt0(xn,xq),sdtmndt0(sdtasdt0(xn,xq),sdtasdt0(xn,xq))) = sdtasdt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_23784,c_22836]) ).
tcf(c_23796,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_3101]) ).
tcf(c_23797,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),sz00) = sdtasdt0(sz00,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_3101]) ).
tcf(c_23798,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_3101]) ).
tcf(c_23799,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),sz00) = sdtasdt0(sz00,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_3101]) ).
tcf(c_23801,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sz00) = sdtasdt0(sz00,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_3101]) ).
tcf(c_23802,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),sz00) = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_3101]) ).
tcf(c_23803,plain,
sdtasdt0(sdtpldt0(xl,xm),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2931,c_3101]) ).
tcf(c_23804,plain,
sdtasdt0(sdtpldt0(xl,xn),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2971,c_3101]) ).
tcf(c_23805,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_3010,c_3101]) ).
tcf(c_23806,plain,
sdtasdt0(sz00,xr) = sdtasdt0(xr,sz00),
inference(superposition,[status(thm)],[c_4939,c_3101]) ).
tcf(c_23807,plain,
sdtasdt0(sz00,xp) = sdtasdt0(xp,sz00),
inference(superposition,[status(thm)],[c_3837,c_3101]) ).
tcf(c_23808,plain,
sdtasdt0(sz00,xq) = sdtasdt0(xq,sz00),
inference(superposition,[status(thm)],[c_4938,c_3101]) ).
tcf(c_23809,plain,
sdtasdt0(sdtasdt0(xl,xr),sz00) = sdtasdt0(sz00,sdtasdt0(xl,xr)),
inference(superposition,[status(thm)],[c_16212,c_3101]) ).
tcf(c_23810,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_3373,c_3101]) ).
tcf(c_23811,plain,
sdtasdt0(sdtpldt0(xm,xn),sz00) = sdtasdt0(sz00,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12823,c_3101]) ).
tcf(c_23812,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_5245,c_3101]) ).
tcf(c_23813,plain,
sdtasdt0(sdtpldt0(xl,xp),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_7844,c_3101]) ).
tcf(c_23814,plain,
sdtasdt0(sdtpldt0(xl,xq),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_9733,c_3101]) ).
tcf(c_23815,plain,
sdtasdt0(sdtpldt0(xl,xr),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_10141,c_3101]) ).
tcf(c_23816,plain,
sdtasdt0(sdtpldt0(xm,xr),sz00) = sdtasdt0(sz00,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_12990,c_3101]) ).
tcf(c_23817,plain,
sdtasdt0(sdtpldt0(xm,xp),sz00) = sdtasdt0(sz00,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_13190,c_3101]) ).
tcf(c_23818,plain,
sdtasdt0(sdtpldt0(xm,xq),sz00) = sdtasdt0(sz00,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_13506,c_3101]) ).
tcf(c_23819,plain,
sdtasdt0(sdtasdt0(xl,xm),sz00) = sdtasdt0(sz00,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_15012,c_3101]) ).
tcf(c_23820,plain,
sdtasdt0(sdtpldt0(xn,xr),sz00) = sdtasdt0(sz00,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_15397,c_3101]) ).
tcf(c_23821,plain,
sdtasdt0(sdtpldt0(xp,xn),sz00) = sdtasdt0(sz00,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_15554,c_3101]) ).
tcf(c_23822,plain,
sdtasdt0(sdtpldt0(xn,xq),sz00) = sdtasdt0(sz00,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_15747,c_3101]) ).
tcf(c_23823,plain,
sdtasdt0(sdtasdt0(xl,xn),sz00) = sdtasdt0(sz00,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_16017,c_3101]) ).
tcf(c_23824,plain,
sdtasdt0(sdtasdt0(xl,xq),sz00) = sdtasdt0(sz00,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_16434,c_3101]) ).
tcf(c_23825,plain,
sdtasdt0(sdtasdt0(xm,xn),sz00) = sdtasdt0(sz00,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_19471,c_3101]) ).
tcf(c_23826,plain,
sdtasdt0(sdtasdt0(xm,xr),sz00) = sdtasdt0(sz00,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_19732,c_3101]) ).
tcf(c_23827,plain,
sdtasdt0(sdtasdt0(xm,xp),sz00) = sdtasdt0(sz00,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_19902,c_3101]) ).
tcf(c_23828,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_20102,c_3101]) ).
tcf(c_23829,plain,
sdtasdt0(sdtasdt0(xm,xq),sz00) = sdtasdt0(sz00,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_20344,c_3101]) ).
tcf(c_23830,plain,
sdtasdt0(sdtasdt0(xn,xr),sz00) = sdtasdt0(sz00,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_21980,c_3101]) ).
tcf(c_23831,plain,
sdtasdt0(sdtasdt0(xp,xn),sz00) = sdtasdt0(sz00,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_22540,c_3101]) ).
tcf(c_23832,plain,
sdtasdt0(sdtasdt0(xn,xq),sz00) = sdtasdt0(sz00,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_22836,c_3101]) ).
tcf(c_23890,plain,
sdtmndt0(sdtpldt0(xl,xl),xl) = xl,
inference(superposition,[status(thm)],[c_49,c_3188]) ).
tcf(c_23891,plain,
sdtmndt0(sdtpldt0(xl,xm),xl) = xm,
inference(superposition,[status(thm)],[c_50,c_3188]) ).
tcf(c_23892,plain,
sdtmndt0(sdtpldt0(xl,xn),xl) = xn,
inference(superposition,[status(thm)],[c_51,c_3188]) ).
tcf(c_23893,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xl,sdtpldt0(X0,X1)),xl) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_3188]) ).
tcf(c_23894,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xl,sK0(X0,X1)),xl) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_3188]) ).
tcf(c_23895,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xl,sdtasdt0(X0,X1)),xl) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_3188]) ).
tcf(c_23896,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xl,sK1(X0,X1)),xl) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_3188]) ).
tcf(c_23897,plain,
sdtmndt0(sdtpldt0(xl,sz00),xl) = sz00,
inference(superposition,[status(thm)],[c_93,c_3188]) ).
tcf(c_23898,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xl,sdtsldt0(X1,X0)),xl) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_3188]) ).
tcf(c_23899,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xl,sdtmndt0(X1,X0)),xl) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_3188]) ).
tcf(c_23900,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_2931,c_3188]) ).
tcf(c_23901,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_2971,c_3188]) ).
tcf(c_23902,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xl) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_3010,c_3188]) ).
tcf(c_23903,plain,
sdtmndt0(sdtpldt0(xl,xr),xl) = xr,
inference(superposition,[status(thm)],[c_4939,c_3188]) ).
tcf(c_23904,plain,
sdtmndt0(sdtpldt0(xl,xp),xl) = xp,
inference(superposition,[status(thm)],[c_3837,c_3188]) ).
tcf(c_23905,plain,
sdtmndt0(sdtpldt0(xl,xq),xl) = xq,
inference(superposition,[status(thm)],[c_4938,c_3188]) ).
tcf(c_23906,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,xr)),xl) = sdtasdt0(xl,xr),
inference(superposition,[status(thm)],[c_16212,c_3188]) ).
tcf(c_23907,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xl) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_3373,c_3188]) ).
tcf(c_23908,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xl) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_12823,c_3188]) ).
tcf(c_23909,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_5245,c_3188]) ).
tcf(c_23910,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xl) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_7844,c_3188]) ).
tcf(c_23911,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xl) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_9733,c_3188]) ).
tcf(c_23912,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xr)),xl) = sdtpldt0(xl,xr),
inference(superposition,[status(thm)],[c_10141,c_3188]) ).
tcf(c_23913,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,xr)),xl) = sdtpldt0(xm,xr),
inference(superposition,[status(thm)],[c_12990,c_3188]) ).
tcf(c_23914,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xl) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_13190,c_3188]) ).
tcf(c_23915,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xl) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_13506,c_3188]) ).
tcf(c_23916,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xl) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_15012,c_3188]) ).
tcf(c_23917,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,xr)),xl) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_15397,c_3188]) ).
tcf(c_23918,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xp,xn)),xl) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_15554,c_3188]) ).
tcf(c_23919,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,xq)),xl) = sdtpldt0(xn,xq),
inference(superposition,[status(thm)],[c_15747,c_3188]) ).
tcf(c_23920,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,xn)),xl) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_16017,c_3188]) ).
tcf(c_23921,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xl) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_16434,c_3188]) ).
tcf(c_23922,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xm,xn)),xl) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_19471,c_3188]) ).
tcf(c_23923,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xm,xr)),xl) = sdtasdt0(xm,xr),
inference(superposition,[status(thm)],[c_19732,c_3188]) ).
tcf(c_23924,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xm,xp)),xl) = sdtasdt0(xm,xp),
inference(superposition,[status(thm)],[c_19902,c_3188]) ).
tcf(c_23925,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_20102,c_3188]) ).
tcf(c_23926,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xm,xq)),xl) = sdtasdt0(xm,xq),
inference(superposition,[status(thm)],[c_20344,c_3188]) ).
tcf(c_23927,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xn,xr)),xl) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_21980,c_3188]) ).
tcf(c_23928,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xp,xn)),xl) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_22540,c_3188]) ).
tcf(c_23929,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xn,xq)),xl) = sdtasdt0(xn,xq),
inference(superposition,[status(thm)],[c_22836,c_3188]) ).
tcf(c_23930,plain,
sdtmndt0(xl,xl) = sz00,
inference(light_normalisation,[status(thm)],[c_23897,c_2528]) ).
tcf(c_24094,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),xm)) ),
inference(superposition,[status(thm)],[c_4078,c_63]) ).
tcf(c_24095,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,xm),xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),xm))
| ( sdtpldt0(xm,X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_4078,c_69]) ).
tcf(c_24096,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,X0))
| ( sdtmndt0(sdtpldt0(xl,xm),xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),xm))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,xm),xm),X0) ),
inference(superposition,[status(thm)],[c_4078,c_61]) ).
tcf(c_24097,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),xm))
| ~ doDivides0(X0,sdtmndt0(sdtpldt0(xl,xm),xm)) ),
inference(superposition,[status(thm)],[c_4078,c_78]) ).
tcf(c_24098,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),xm))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),xm)) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_4078,c_70]) ).
tcf(c_24099,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xl,xm))
| ( sdtmndt0(sdtpldt0(xl,xm),xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),xm))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,xm),xm)) ),
inference(superposition,[status(thm)],[c_4078,c_61]) ).
tcf(c_24100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),xm)),sdtpldt0(xl,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),xm)) ),
inference(superposition,[status(thm)],[c_4078,c_63]) ).
tcf(c_24101,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),xm))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),xm)) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24098,c_50]) ).
tcf(c_24106,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),xm))
| ~ doDivides0(X0,sdtmndt0(sdtpldt0(xl,xm),xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24097,c_50]) ).
tcf(c_24112,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,xm),xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),xm))
| ( sdtpldt0(xm,X0) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24095,c_50]) ).
tcf(c_24117,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),xm)),sdtpldt0(xl,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24100,c_50]) ).
tcf(c_24123,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24094,c_50]) ).
tcf(c_24129,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xl,xm))
| ( sdtmndt0(sdtpldt0(xl,xm),xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),xm))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,xm),xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24099,c_50]) ).
tcf(c_24135,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,X0))
| ( sdtmndt0(sdtpldt0(xl,xm),xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),xm))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,xm),xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24096,c_50]) ).
tcf(c_24152,plain,
sdtmndt0(sdtpldt0(xm,xl),xm) = xl,
inference(superposition,[status(thm)],[c_49,c_3189]) ).
tcf(c_24153,plain,
sdtmndt0(sdtpldt0(xm,xm),xm) = xm,
inference(superposition,[status(thm)],[c_50,c_3189]) ).
tcf(c_24154,plain,
sdtmndt0(sdtpldt0(xm,xn),xm) = xn,
inference(superposition,[status(thm)],[c_51,c_3189]) ).
tcf(c_24155,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xm,sdtpldt0(X0,X1)),xm) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_3189]) ).
tcf(c_24156,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xm,sK0(X0,X1)),xm) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_3189]) ).
tcf(c_24157,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xm,sdtasdt0(X0,X1)),xm) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_3189]) ).
tcf(c_24158,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xm,sK1(X0,X1)),xm) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_3189]) ).
tcf(c_24159,plain,
sdtmndt0(sdtpldt0(xm,sz00),xm) = sz00,
inference(superposition,[status(thm)],[c_93,c_3189]) ).
tcf(c_24160,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xm,sdtsldt0(X1,X0)),xm) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_3189]) ).
tcf(c_24161,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xm,sdtmndt0(X1,X0)),xm) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_3189]) ).
tcf(c_24162,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xm) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_2931,c_3189]) ).
tcf(c_24163,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xm) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_2971,c_3189]) ).
tcf(c_24164,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xm) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_3010,c_3189]) ).
tcf(c_24165,plain,
sdtmndt0(sdtpldt0(xm,xr),xm) = xr,
inference(superposition,[status(thm)],[c_4939,c_3189]) ).
tcf(c_24166,plain,
sdtmndt0(sdtpldt0(xm,xp),xm) = xp,
inference(superposition,[status(thm)],[c_3837,c_3189]) ).
tcf(c_24167,plain,
sdtmndt0(sdtpldt0(xm,xq),xm) = xq,
inference(superposition,[status(thm)],[c_4938,c_3189]) ).
tcf(c_24168,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,xr)),xm) = sdtasdt0(xl,xr),
inference(superposition,[status(thm)],[c_16212,c_3189]) ).
tcf(c_24169,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xm) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_3373,c_3189]) ).
tcf(c_24170,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xm) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_12823,c_3189]) ).
tcf(c_24171,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xm) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_5245,c_3189]) ).
tcf(c_24172,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xm) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_7844,c_3189]) ).
tcf(c_24173,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xm) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_9733,c_3189]) ).
tcf(c_24174,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xr)),xm) = sdtpldt0(xl,xr),
inference(superposition,[status(thm)],[c_10141,c_3189]) ).
tcf(c_24175,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,xr)),xm) = sdtpldt0(xm,xr),
inference(superposition,[status(thm)],[c_12990,c_3189]) ).
tcf(c_24176,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xm) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_13190,c_3189]) ).
tcf(c_24177,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xm) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_13506,c_3189]) ).
tcf(c_24178,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xm) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_15012,c_3189]) ).
tcf(c_24179,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,xr)),xm) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_15397,c_3189]) ).
tcf(c_24180,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xp,xn)),xm) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_15554,c_3189]) ).
tcf(c_24181,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,xq)),xm) = sdtpldt0(xn,xq),
inference(superposition,[status(thm)],[c_15747,c_3189]) ).
tcf(c_24182,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,xn)),xm) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_16017,c_3189]) ).
tcf(c_24183,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,xq)),xm) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_16434,c_3189]) ).
tcf(c_24184,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xm,xn)),xm) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_19471,c_3189]) ).
tcf(c_24185,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xm,xr)),xm) = sdtasdt0(xm,xr),
inference(superposition,[status(thm)],[c_19732,c_3189]) ).
tcf(c_24186,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xm,xp)),xm) = sdtasdt0(xm,xp),
inference(superposition,[status(thm)],[c_19902,c_3189]) ).
tcf(c_24187,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),xm) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_20102,c_3189]) ).
tcf(c_24188,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xm,xq)),xm) = sdtasdt0(xm,xq),
inference(superposition,[status(thm)],[c_20344,c_3189]) ).
tcf(c_24189,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xn,xr)),xm) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_21980,c_3189]) ).
tcf(c_24190,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xp,xn)),xm) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_22540,c_3189]) ).
tcf(c_24191,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xn,xq)),xm) = sdtasdt0(xn,xq),
inference(superposition,[status(thm)],[c_22836,c_3189]) ).
tcf(c_24192,plain,
sdtmndt0(xm,xm) = sz00,
inference(light_normalisation,[status(thm)],[c_24159,c_2529]) ).
tcf(c_24193,plain,
sdtmndt0(sdtpldt0(xl,xm),xm) = xl,
inference(light_normalisation,[status(thm)],[c_24152,c_2897]) ).
tcf(c_27397,plain,
sdtmndt0(sdtpldt0(xn,xl),xn) = xl,
inference(superposition,[status(thm)],[c_49,c_3190]) ).
tcf(c_27398,plain,
sdtmndt0(sdtpldt0(xn,xm),xn) = xm,
inference(superposition,[status(thm)],[c_50,c_3190]) ).
tcf(c_27399,plain,
sdtmndt0(sdtpldt0(xn,xn),xn) = xn,
inference(superposition,[status(thm)],[c_51,c_3190]) ).
tcf(c_27400,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xn,sdtpldt0(X0,X1)),xn) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_3190]) ).
tcf(c_27401,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xn,sK0(X0,X1)),xn) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_3190]) ).
tcf(c_27402,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xn,sdtasdt0(X0,X1)),xn) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_3190]) ).
tcf(c_27403,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xn,sK1(X0,X1)),xn) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_3190]) ).
tcf(c_27404,plain,
sdtmndt0(sdtpldt0(xn,sz00),xn) = sz00,
inference(superposition,[status(thm)],[c_93,c_3190]) ).
tcf(c_27405,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xn,sdtsldt0(X1,X0)),xn) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_3190]) ).
tcf(c_27406,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xn,sdtmndt0(X1,X0)),xn) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_3190]) ).
tcf(c_27407,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xn) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_2931,c_3190]) ).
tcf(c_27408,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xn) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_2971,c_3190]) ).
tcf(c_27409,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),xn) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_3010,c_3190]) ).
tcf(c_27410,plain,
sdtmndt0(sdtpldt0(xn,xr),xn) = xr,
inference(superposition,[status(thm)],[c_4939,c_3190]) ).
tcf(c_27411,plain,
sdtmndt0(sdtpldt0(xn,xp),xn) = xp,
inference(superposition,[status(thm)],[c_3837,c_3190]) ).
tcf(c_27412,plain,
sdtmndt0(sdtpldt0(xn,xq),xn) = xq,
inference(superposition,[status(thm)],[c_4938,c_3190]) ).
tcf(c_27413,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,xr)),xn) = sdtasdt0(xl,xr),
inference(superposition,[status(thm)],[c_16212,c_3190]) ).
tcf(c_27414,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),xn) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_3373,c_3190]) ).
tcf(c_27415,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xn) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_12823,c_3190]) ).
tcf(c_27416,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xn) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_5245,c_3190]) ).
tcf(c_27417,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xp)),xn) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_7844,c_3190]) ).
tcf(c_27418,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xq)),xn) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_9733,c_3190]) ).
tcf(c_27419,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xr)),xn) = sdtpldt0(xl,xr),
inference(superposition,[status(thm)],[c_10141,c_3190]) ).
tcf(c_27420,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,xr)),xn) = sdtpldt0(xm,xr),
inference(superposition,[status(thm)],[c_12990,c_3190]) ).
tcf(c_27421,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,xp)),xn) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_13190,c_3190]) ).
tcf(c_27422,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,xq)),xn) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_13506,c_3190]) ).
tcf(c_27423,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xn) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_15012,c_3190]) ).
tcf(c_27424,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xn) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_15397,c_3190]) ).
tcf(c_27425,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xp,xn)),xn) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_15554,c_3190]) ).
tcf(c_27426,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,xq)),xn) = sdtpldt0(xn,xq),
inference(superposition,[status(thm)],[c_15747,c_3190]) ).
tcf(c_27427,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,xn)),xn) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_16017,c_3190]) ).
tcf(c_27428,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,xq)),xn) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_16434,c_3190]) ).
tcf(c_27429,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xm,xn)),xn) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_19471,c_3190]) ).
tcf(c_27430,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xm,xr)),xn) = sdtasdt0(xm,xr),
inference(superposition,[status(thm)],[c_19732,c_3190]) ).
tcf(c_27431,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xm,xp)),xn) = sdtasdt0(xm,xp),
inference(superposition,[status(thm)],[c_19902,c_3190]) ).
tcf(c_27432,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),xn) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_20102,c_3190]) ).
tcf(c_27433,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xm,xq)),xn) = sdtasdt0(xm,xq),
inference(superposition,[status(thm)],[c_20344,c_3190]) ).
tcf(c_27434,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xn,xr)),xn) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_21980,c_3190]) ).
tcf(c_27435,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xp,xn)),xn) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_22540,c_3190]) ).
tcf(c_27436,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xn,xq)),xn) = sdtasdt0(xn,xq),
inference(superposition,[status(thm)],[c_22836,c_3190]) ).
tcf(c_27437,plain,
sdtmndt0(sdtpldt0(xp,xn),xn) = xp,
inference(light_normalisation,[status(thm)],[c_27411,c_14616]) ).
tcf(c_27438,plain,
sdtmndt0(xn,xn) = sz00,
inference(light_normalisation,[status(thm)],[c_27404,c_2530]) ).
tcf(c_27439,plain,
sdtmndt0(sdtpldt0(xm,xn),xn) = xm,
inference(light_normalisation,[status(thm)],[c_27398,c_12762]) ).
tcf(c_27440,plain,
sdtmndt0(sdtpldt0(xl,xn),xn) = xl,
inference(light_normalisation,[status(thm)],[c_27397,c_2898]) ).
tcf(c_27500,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_4079,c_63]) ).
tcf(c_27501,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_4079,c_69]) ).
tcf(c_27502,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_4079,c_61]) ).
tcf(c_27504,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_4079,c_70]) ).
tcf(c_27505,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,xm))
| ( sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_4079,c_61]) ).
tcf(c_27506,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))),sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_4079,c_63]) ).
tcf(c_27507,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27504,c_2931]) ).
tcf(c_27512,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27501,c_2931]) ).
tcf(c_27517,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))),sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27506,c_2931]) ).
tcf(c_27523,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27500,c_2931]) ).
tcf(c_27529,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,xm))
| ( sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27505,c_2931]) ).
tcf(c_27535,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27502,c_2931]) ).
tcf(c_27562,plain,
sdtmndt0(sdtpldt0(sz00,xl),sz00) = xl,
inference(superposition,[status(thm)],[c_49,c_3195]) ).
tcf(c_27563,plain,
sdtmndt0(sdtpldt0(sz00,xm),sz00) = xm,
inference(superposition,[status(thm)],[c_50,c_3195]) ).
tcf(c_27564,plain,
sdtmndt0(sdtpldt0(sz00,xn),sz00) = xn,
inference(superposition,[status(thm)],[c_51,c_3195]) ).
tcf(c_27565,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),sz00) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_3195]) ).
tcf(c_27566,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz00,sK0(X0,X1)),sz00) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_3195]) ).
tcf(c_27567,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz00,sdtasdt0(X0,X1)),sz00) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_3195]) ).
tcf(c_27568,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz00,sK1(X0,X1)),sz00) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_3195]) ).
tcf(c_27569,plain,
sdtmndt0(sdtpldt0(sz00,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_93,c_3195]) ).
tcf(c_27570,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sz00,sdtsldt0(X1,X0)),sz00) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_3195]) ).
tcf(c_27571,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz00,sdtmndt0(X1,X0)),sz00) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_3195]) ).
tcf(c_27572,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sz00) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_2931,c_3195]) ).
tcf(c_27573,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),sz00) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_2971,c_3195]) ).
tcf(c_27574,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_3010,c_3195]) ).
tcf(c_27575,plain,
sdtmndt0(sdtpldt0(sz00,xr),sz00) = xr,
inference(superposition,[status(thm)],[c_4939,c_3195]) ).
tcf(c_27576,plain,
sdtmndt0(sdtpldt0(sz00,xp),sz00) = xp,
inference(superposition,[status(thm)],[c_3837,c_3195]) ).
tcf(c_27577,plain,
sdtmndt0(sdtpldt0(sz00,xq),sz00) = xq,
inference(superposition,[status(thm)],[c_4938,c_3195]) ).
tcf(c_27578,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xl,xr)),sz00) = sdtasdt0(xl,xr),
inference(superposition,[status(thm)],[c_16212,c_3195]) ).
tcf(c_27579,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_3373,c_3195]) ).
tcf(c_27580,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),sz00) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_12823,c_3195]) ).
tcf(c_27581,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_5245,c_3195]) ).
tcf(c_27582,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,xp)),sz00) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_7844,c_3195]) ).
tcf(c_27583,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,xq)),sz00) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_9733,c_3195]) ).
tcf(c_27584,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,xr)),sz00) = sdtpldt0(xl,xr),
inference(superposition,[status(thm)],[c_10141,c_3195]) ).
tcf(c_27585,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,xr)),sz00) = sdtpldt0(xm,xr),
inference(superposition,[status(thm)],[c_12990,c_3195]) ).
tcf(c_27586,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,xp)),sz00) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_13190,c_3195]) ).
tcf(c_27587,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,xq)),sz00) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_13506,c_3195]) ).
tcf(c_27588,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),sz00) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_15012,c_3195]) ).
tcf(c_27589,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xn,xr)),sz00) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_15397,c_3195]) ).
tcf(c_27590,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xp,xn)),sz00) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_15554,c_3195]) ).
tcf(c_27591,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xn,xq)),sz00) = sdtpldt0(xn,xq),
inference(superposition,[status(thm)],[c_15747,c_3195]) ).
tcf(c_27592,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),sz00) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_16017,c_3195]) ).
tcf(c_27593,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xl,xq)),sz00) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_16434,c_3195]) ).
tcf(c_27594,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),sz00) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_19471,c_3195]) ).
tcf(c_27595,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xm,xr)),sz00) = sdtasdt0(xm,xr),
inference(superposition,[status(thm)],[c_19732,c_3195]) ).
tcf(c_27596,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xm,xp)),sz00) = sdtasdt0(xm,xp),
inference(superposition,[status(thm)],[c_19902,c_3195]) ).
tcf(c_27597,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_20102,c_3195]) ).
tcf(c_27598,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xm,xq)),sz00) = sdtasdt0(xm,xq),
inference(superposition,[status(thm)],[c_20344,c_3195]) ).
tcf(c_27599,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xn,xr)),sz00) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_21980,c_3195]) ).
tcf(c_27600,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xp,xn)),sz00) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_22540,c_3195]) ).
tcf(c_27601,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xn,xq)),sz00) = sdtasdt0(xn,xq),
inference(superposition,[status(thm)],[c_22836,c_3195]) ).
tcf(c_27602,plain,
sdtmndt0(xq,sz00) = xq,
inference(light_normalisation,[status(thm)],[c_27577,c_4948]) ).
tcf(c_27603,plain,
sdtmndt0(xp,sz00) = xp,
inference(light_normalisation,[status(thm)],[c_27576,c_4265]) ).
tcf(c_27604,plain,
sdtmndt0(xr,sz00) = xr,
inference(light_normalisation,[status(thm)],[c_27575,c_5002]) ).
tcf(c_27605,plain,
sdtmndt0(sz00,sz00) = sz00,
inference(light_normalisation,[status(thm)],[c_27569,c_2531]) ).
tcf(c_27606,plain,
sdtmndt0(xn,sz00) = xn,
inference(light_normalisation,[status(thm)],[c_27564,c_2538]) ).
tcf(c_27607,plain,
sdtmndt0(xm,sz00) = xm,
inference(light_normalisation,[status(thm)],[c_27563,c_2537]) ).
tcf(c_27608,plain,
sdtmndt0(xl,sz00) = xl,
inference(light_normalisation,[status(thm)],[c_27562,c_2536]) ).
tcf(c_27609,plain,
sdtmndt0(sdtasdt0(xn,xq),sz00) = sdtasdt0(xn,xq),
inference(light_normalisation,[status(thm)],[c_27601,c_22901]) ).
tcf(c_27610,plain,
sdtmndt0(sdtasdt0(xp,xn),sz00) = sdtasdt0(xp,xn),
inference(light_normalisation,[status(thm)],[c_27600,c_22690]) ).
tcf(c_27611,plain,
sdtmndt0(sdtasdt0(xn,xr),sz00) = sdtasdt0(xn,xr),
inference(light_normalisation,[status(thm)],[c_27599,c_22045]) ).
tcf(c_27612,plain,
sdtmndt0(sdtasdt0(xm,xq),sz00) = sdtasdt0(xm,xq),
inference(light_normalisation,[status(thm)],[c_27598,c_20441]) ).
tcf(c_27613,plain,
sdtmndt0(sdtasdt0(xm,xp),sz00) = sdtasdt0(xm,xp),
inference(light_normalisation,[status(thm)],[c_27596,c_20007]) ).
tcf(c_27614,plain,
sdtmndt0(sdtasdt0(xm,xr),sz00) = sdtasdt0(xm,xr),
inference(light_normalisation,[status(thm)],[c_27595,c_19796]) ).
tcf(c_27615,plain,
sdtmndt0(sdtasdt0(xm,xn),sz00) = sdtasdt0(xm,xn),
inference(light_normalisation,[status(thm)],[c_27594,c_19637]) ).
tcf(c_27616,plain,
sdtmndt0(sdtasdt0(xl,xq),sz00) = sdtasdt0(xl,xq),
inference(light_normalisation,[status(thm)],[c_27593,c_16512]) ).
tcf(c_27617,plain,
sdtmndt0(sdtasdt0(xl,xn),sz00) = sdtasdt0(xl,xn),
inference(light_normalisation,[status(thm)],[c_27592,c_16096]) ).
tcf(c_27618,plain,
sdtmndt0(sdtpldt0(xn,xq),sz00) = sdtpldt0(xn,xq),
inference(light_normalisation,[status(thm)],[c_27591,c_15899]) ).
tcf(c_27619,plain,
sdtmndt0(sdtpldt0(xp,xn),sz00) = sdtpldt0(xp,xn),
inference(light_normalisation,[status(thm)],[c_27590,c_15616]) ).
tcf(c_27620,plain,
sdtmndt0(sdtpldt0(xn,xr),sz00) = sdtpldt0(xn,xr),
inference(light_normalisation,[status(thm)],[c_27589,c_15459]) ).
tcf(c_27621,plain,
sdtmndt0(sdtasdt0(xl,xm),sz00) = sdtasdt0(xl,xm),
inference(light_normalisation,[status(thm)],[c_27588,c_15102]) ).
tcf(c_27622,plain,
sdtmndt0(sdtpldt0(xm,xq),sz00) = sdtpldt0(xm,xq),
inference(light_normalisation,[status(thm)],[c_27587,c_13565]) ).
tcf(c_27623,plain,
sdtmndt0(sdtpldt0(xm,xp),sz00) = sdtpldt0(xm,xp),
inference(light_normalisation,[status(thm)],[c_27586,c_13298]) ).
tcf(c_27624,plain,
sdtmndt0(sdtpldt0(xm,xr),sz00) = sdtpldt0(xm,xr),
inference(light_normalisation,[status(thm)],[c_27585,c_13132]) ).
tcf(c_27625,plain,
sdtmndt0(sdtpldt0(xl,xr),sz00) = sdtpldt0(xl,xr),
inference(light_normalisation,[status(thm)],[c_27584,c_10196]) ).
tcf(c_27626,plain,
sdtmndt0(sdtpldt0(xl,xq),sz00) = sdtpldt0(xl,xq),
inference(light_normalisation,[status(thm)],[c_27583,c_9828]) ).
tcf(c_27627,plain,
sdtmndt0(sdtpldt0(xl,xp),sz00) = sdtpldt0(xl,xp),
inference(light_normalisation,[status(thm)],[c_27582,c_7902]) ).
tcf(c_27628,plain,
sdtmndt0(sdtpldt0(xm,xn),sz00) = sdtpldt0(xm,xn),
inference(light_normalisation,[status(thm)],[c_27580,c_12883]) ).
tcf(c_27629,plain,
sdtmndt0(sdtasdt0(xl,xr),sz00) = sdtasdt0(xl,xr),
inference(light_normalisation,[status(thm)],[c_27578,c_16291]) ).
tcf(c_27630,plain,
sdtmndt0(sdtpldt0(xl,xn),sz00) = sdtpldt0(xl,xn),
inference(light_normalisation,[status(thm)],[c_27573,c_2993]) ).
tcf(c_27631,plain,
sdtmndt0(sdtpldt0(xl,xm),sz00) = sdtpldt0(xl,xm),
inference(light_normalisation,[status(thm)],[c_27572,c_2954]) ).
tcf(c_27632,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(light_normalisation,[status(thm)],[c_27579,c_3591]) ).
tcf(c_27633,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(light_normalisation,[status(thm)],[c_27574,c_3266]) ).
tcf(c_27640,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(light_normalisation,[status(thm)],[c_27597,c_20743]) ).
tcf(c_27641,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(light_normalisation,[status(thm)],[c_27581,c_10527]) ).
tcf(c_28118,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_4089,c_63]) ).
tcf(c_28119,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_4089,c_69]) ).
tcf(c_28120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_4089,c_61]) ).
tcf(c_28121,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_4089,c_78]) ).
tcf(c_28122,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_4089,c_70]) ).
tcf(c_28123,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_4089,c_61]) ).
tcf(c_28124,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_4089,c_63]) ).
tcf(c_28125,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28122,c_2931]) ).
tcf(c_28130,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28121,c_2931]) ).
tcf(c_28136,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28119,c_2931]) ).
tcf(c_28141,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28124,c_2931]) ).
tcf(c_28147,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28118,c_2931]) ).
tcf(c_28153,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28123,c_2931]) ).
tcf(c_28159,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28120,c_2931]) ).
tcf(c_28178,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_77,c_3458]) ).
tcf(c_28179,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_65,c_3458]) ).
tcf(c_28180,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_107,c_3458]) ).
tcf(c_28181,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_81,c_3458]) ).
tcf(c_28183,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_95,c_3458]) ).
tcf(c_28184,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),sK0(sdtmndt0(X1,X0),sdtmndt0(X1,X0))) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_3458]) ).
tcf(c_28187,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_3010,c_3458]) ).
tcf(c_28192,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_3373,c_3458]) ).
tcf(c_28194,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sK0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_5245,c_3458]) ).
tcf(c_28210,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sK0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_20102,c_3458]) ).
tcf(c_28260,plain,
sK0(sz00,sz00) = sz00,
inference(global_subsumption_just,[status(thm)],[c_3684,c_93,c_108,c_117,c_3684]) ).
tcf(c_28271,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X0,X1),sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_4041]) ).
tcf(c_28272,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),sdtmndt0(sK0(X0,X1),sK0(X0,X1))) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_4041]) ).
tcf(c_28273,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtmndt0(sdtasdt0(X0,X1),sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_4041]) ).
tcf(c_28274,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),sdtmndt0(sK1(X0,X1),sK1(X0,X1))) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_4041]) ).
tcf(c_28276,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sdtmndt0(sdtsldt0(X1,X0),sdtsldt0(X1,X0))) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_4041]) ).
tcf(c_28277,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),sdtmndt0(sdtmndt0(X1,X0),sdtmndt0(X1,X0))) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_4041]) ).
tcf(c_28280,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_3010,c_4041]) ).
tcf(c_28285,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_3373,c_4041]) ).
tcf(c_28287,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_5245,c_4041]) ).
tcf(c_28303,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_20102,c_4041]) ).
tcf(c_28340,plain,
sdtsldt0(sdtasdt0(xl,xl),xl) = xl,
inference(superposition,[status(thm)],[c_49,c_4186]) ).
tcf(c_28341,plain,
sdtsldt0(sdtasdt0(xl,xm),xl) = xm,
inference(superposition,[status(thm)],[c_50,c_4186]) ).
tcf(c_28342,plain,
sdtsldt0(sdtasdt0(xl,xn),xl) = xn,
inference(superposition,[status(thm)],[c_51,c_4186]) ).
tcf(c_28343,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xl,sdtpldt0(X0,X1)),xl) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_4186]) ).
tcf(c_28344,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xl,sK0(X0,X1)),xl) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_4186]) ).
tcf(c_28345,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xl,sdtasdt0(X0,X1)),xl) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_4186]) ).
tcf(c_28346,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xl,sK1(X0,X1)),xl) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_4186]) ).
tcf(c_28347,plain,
sdtsldt0(sdtasdt0(xl,sz00),xl) = sz00,
inference(superposition,[status(thm)],[c_93,c_4186]) ).
tcf(c_28348,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xl,sdtsldt0(X1,X0)),xl) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_4186]) ).
tcf(c_28349,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xl,sdtmndt0(X1,X0)),xl) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_4186]) ).
tcf(c_28350,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_2931,c_4186]) ).
tcf(c_28351,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_2971,c_4186]) ).
tcf(c_28352,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xl) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_3010,c_4186]) ).
tcf(c_28353,plain,
sdtsldt0(sdtasdt0(xl,xr),xl) = xr,
inference(superposition,[status(thm)],[c_4939,c_4186]) ).
tcf(c_28354,plain,
sdtsldt0(sdtasdt0(xl,xp),xl) = xp,
inference(superposition,[status(thm)],[c_3837,c_4186]) ).
tcf(c_28355,plain,
sdtsldt0(sdtasdt0(xl,xq),xl) = xq,
inference(superposition,[status(thm)],[c_4938,c_4186]) ).
tcf(c_28356,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,xr)),xl) = sdtasdt0(xl,xr),
inference(superposition,[status(thm)],[c_16212,c_4186]) ).
tcf(c_28357,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xl) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_3373,c_4186]) ).
tcf(c_28358,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xl) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_12823,c_4186]) ).
tcf(c_28359,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_5245,c_4186]) ).
tcf(c_28360,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xp)),xl) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_7844,c_4186]) ).
tcf(c_28361,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xq)),xl) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_9733,c_4186]) ).
tcf(c_28362,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xr)),xl) = sdtpldt0(xl,xr),
inference(superposition,[status(thm)],[c_10141,c_4186]) ).
tcf(c_28363,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,xr)),xl) = sdtpldt0(xm,xr),
inference(superposition,[status(thm)],[c_12990,c_4186]) ).
tcf(c_28364,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,xp)),xl) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_13190,c_4186]) ).
tcf(c_28365,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,xq)),xl) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_13506,c_4186]) ).
tcf(c_28366,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xl) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_15012,c_4186]) ).
tcf(c_28367,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,xr)),xl) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_15397,c_4186]) ).
tcf(c_28368,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xp,xn)),xl) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_15554,c_4186]) ).
tcf(c_28369,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,xq)),xl) = sdtpldt0(xn,xq),
inference(superposition,[status(thm)],[c_15747,c_4186]) ).
tcf(c_28370,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,xn)),xl) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_16017,c_4186]) ).
tcf(c_28371,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,xq)),xl) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_16434,c_4186]) ).
tcf(c_28372,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xm,xn)),xl) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_19471,c_4186]) ).
tcf(c_28373,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xm,xr)),xl) = sdtasdt0(xm,xr),
inference(superposition,[status(thm)],[c_19732,c_4186]) ).
tcf(c_28374,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xm,xp)),xl) = sdtasdt0(xm,xp),
inference(superposition,[status(thm)],[c_19902,c_4186]) ).
tcf(c_28375,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_20102,c_4186]) ).
tcf(c_28376,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xm,xq)),xl) = sdtasdt0(xm,xq),
inference(superposition,[status(thm)],[c_20344,c_4186]) ).
tcf(c_28377,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xn,xr)),xl) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_21980,c_4186]) ).
tcf(c_28378,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xp,xn)),xl) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_22540,c_4186]) ).
tcf(c_28379,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xn,xq)),xl) = sdtasdt0(xn,xq),
inference(superposition,[status(thm)],[c_22836,c_4186]) ).
tcf(c_28381,plain,
sdtsldt0(sz00,xl) = sz00,
inference(light_normalisation,[status(thm)],[c_28347,c_2544]) ).
tcf(c_28495,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_4299,c_63]) ).
tcf(c_28496,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xn)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_4299,c_69]) ).
tcf(c_28497,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_4299,c_61]) ).
tcf(c_28498,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_4299,c_78]) ).
tcf(c_28499,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xn))) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_4299,c_70]) ).
tcf(c_28500,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xn))
| ( sK0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_4299,c_61]) ).
tcf(c_28501,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xn))),sdtpldt0(xl,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_4299,c_63]) ).
tcf(c_28502,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xn))) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28499,c_93]) ).
tcf(c_28507,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28498,c_93]) ).
tcf(c_28513,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xn)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28496,c_93]) ).
tcf(c_28518,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xn))),sdtpldt0(xl,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28501,c_93]) ).
tcf(c_28524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28495,c_93]) ).
tcf(c_28530,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xn))
| ( sK0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28500,c_93]) ).
tcf(c_28536,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28497,c_93]) ).
tcf(c_28550,plain,
sdtmndt0(sdtpldt0(xp,xl),xp) = xl,
inference(superposition,[status(thm)],[c_49,c_4259]) ).
tcf(c_28551,plain,
sdtmndt0(sdtpldt0(xp,xm),xp) = xm,
inference(superposition,[status(thm)],[c_50,c_4259]) ).
tcf(c_28552,plain,
sdtmndt0(sdtpldt0(xp,xn),xp) = xn,
inference(superposition,[status(thm)],[c_51,c_4259]) ).
tcf(c_28553,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xp,sdtpldt0(X0,X1)),xp) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_4259]) ).
tcf(c_28554,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xp,sK0(X0,X1)),xp) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_4259]) ).
tcf(c_28555,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xp,sdtasdt0(X0,X1)),xp) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_4259]) ).
tcf(c_28556,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xp,sK1(X0,X1)),xp) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_4259]) ).
tcf(c_28557,plain,
sdtmndt0(sdtpldt0(xp,sz00),xp) = sz00,
inference(superposition,[status(thm)],[c_93,c_4259]) ).
tcf(c_28558,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xp,sdtsldt0(X1,X0)),xp) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_4259]) ).
tcf(c_28559,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xp,sdtmndt0(X1,X0)),xp) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_4259]) ).
tcf(c_28560,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,xm)),xp) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_2931,c_4259]) ).
tcf(c_28561,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,xn)),xp) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_2971,c_4259]) ).
tcf(c_28562,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,xm))),xp) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_3010,c_4259]) ).
tcf(c_28563,plain,
sdtmndt0(sdtpldt0(xp,xr),xp) = xr,
inference(superposition,[status(thm)],[c_4939,c_4259]) ).
tcf(c_28564,plain,
sdtmndt0(sdtpldt0(xp,xp),xp) = xp,
inference(superposition,[status(thm)],[c_3837,c_4259]) ).
tcf(c_28565,plain,
sdtmndt0(sdtpldt0(xp,xq),xp) = xq,
inference(superposition,[status(thm)],[c_4938,c_4259]) ).
tcf(c_28566,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xl,xr)),xp) = sdtasdt0(xl,xr),
inference(superposition,[status(thm)],[c_16212,c_4259]) ).
tcf(c_28567,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,xn))),xp) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_3373,c_4259]) ).
tcf(c_28568,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,xn)),xp) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_12823,c_4259]) ).
tcf(c_28569,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xp) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_5245,c_4259]) ).
tcf(c_28570,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,xp)),xp) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_7844,c_4259]) ).
tcf(c_28571,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,xq)),xp) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_9733,c_4259]) ).
tcf(c_28572,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,xr)),xp) = sdtpldt0(xl,xr),
inference(superposition,[status(thm)],[c_10141,c_4259]) ).
tcf(c_28573,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,xr)),xp) = sdtpldt0(xm,xr),
inference(superposition,[status(thm)],[c_12990,c_4259]) ).
tcf(c_28574,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,xp)),xp) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_13190,c_4259]) ).
tcf(c_28575,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,xq)),xp) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_13506,c_4259]) ).
tcf(c_28576,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xl,xm)),xp) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_15012,c_4259]) ).
tcf(c_28577,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xn,xr)),xp) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_15397,c_4259]) ).
tcf(c_28578,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xp,xn)),xp) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_15554,c_4259]) ).
tcf(c_28579,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xn,xq)),xp) = sdtpldt0(xn,xq),
inference(superposition,[status(thm)],[c_15747,c_4259]) ).
tcf(c_28580,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xl,xn)),xp) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_16017,c_4259]) ).
tcf(c_28581,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xl,xq)),xp) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_16434,c_4259]) ).
tcf(c_28582,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xm,xn)),xp) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_19471,c_4259]) ).
tcf(c_28583,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xm,xr)),xp) = sdtasdt0(xm,xr),
inference(superposition,[status(thm)],[c_19732,c_4259]) ).
tcf(c_28584,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xm,xp)),xp) = sdtasdt0(xm,xp),
inference(superposition,[status(thm)],[c_19902,c_4259]) ).
tcf(c_28585,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),xp) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_20102,c_4259]) ).
tcf(c_28586,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xm,xq)),xp) = sdtasdt0(xm,xq),
inference(superposition,[status(thm)],[c_20344,c_4259]) ).
tcf(c_28587,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xn,xr)),xp) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_21980,c_4259]) ).
tcf(c_28588,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xp,xn)),xp) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_22540,c_4259]) ).
tcf(c_28589,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xn,xq)),xp) = sdtasdt0(xn,xq),
inference(superposition,[status(thm)],[c_22836,c_4259]) ).
tcf(c_28590,plain,
sdtmndt0(xp,xp) = sz00,
inference(light_normalisation,[status(thm)],[c_28557,c_4266]) ).
tcf(c_28591,plain,
sdtmndt0(sdtpldt0(xm,xp),xp) = xm,
inference(light_normalisation,[status(thm)],[c_28551,c_12774]) ).
tcf(c_28592,plain,
sdtmndt0(sdtpldt0(xl,xp),xp) = xl,
inference(light_normalisation,[status(thm)],[c_28550,c_4261]) ).
tcf(c_28685,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xp) = sdtasdt0(xp,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_4260]) ).
tcf(c_28686,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),xp) = sdtasdt0(xp,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_4260]) ).
tcf(c_28687,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(xp,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_4260]) ).
tcf(c_28688,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),xp) = sdtasdt0(xp,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_4260]) ).
tcf(c_28690,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),xp) = sdtasdt0(xp,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_4260]) ).
tcf(c_28691,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),xp) = sdtasdt0(xp,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_4260]) ).
tcf(c_28692,plain,
sdtasdt0(sdtpldt0(xl,xm),xp) = sdtasdt0(xp,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2931,c_4260]) ).
tcf(c_28693,plain,
sdtasdt0(sdtpldt0(xl,xn),xp) = sdtasdt0(xp,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2971,c_4260]) ).
tcf(c_28694,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_3010,c_4260]) ).
tcf(c_28695,plain,
sdtasdt0(xp,xr) = sdtasdt0(xr,xp),
inference(superposition,[status(thm)],[c_4939,c_4260]) ).
tcf(c_28697,plain,
sdtasdt0(xp,xq) = sdtasdt0(xq,xp),
inference(superposition,[status(thm)],[c_4938,c_4260]) ).
tcf(c_28698,plain,
sdtasdt0(sdtasdt0(xl,xr),xp) = sdtasdt0(xp,sdtasdt0(xl,xr)),
inference(superposition,[status(thm)],[c_16212,c_4260]) ).
tcf(c_28699,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_3373,c_4260]) ).
tcf(c_28700,plain,
sdtasdt0(sdtpldt0(xm,xn),xp) = sdtasdt0(xp,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12823,c_4260]) ).
tcf(c_28701,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_5245,c_4260]) ).
tcf(c_28702,plain,
sdtasdt0(sdtpldt0(xl,xp),xp) = sdtasdt0(xp,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_7844,c_4260]) ).
tcf(c_28703,plain,
sdtasdt0(sdtpldt0(xl,xq),xp) = sdtasdt0(xp,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_9733,c_4260]) ).
tcf(c_28704,plain,
sdtasdt0(sdtpldt0(xl,xr),xp) = sdtasdt0(xp,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_10141,c_4260]) ).
tcf(c_28705,plain,
sdtasdt0(sdtpldt0(xm,xr),xp) = sdtasdt0(xp,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_12990,c_4260]) ).
tcf(c_28706,plain,
sdtasdt0(sdtpldt0(xm,xp),xp) = sdtasdt0(xp,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_13190,c_4260]) ).
tcf(c_28707,plain,
sdtasdt0(sdtpldt0(xm,xq),xp) = sdtasdt0(xp,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_13506,c_4260]) ).
tcf(c_28708,plain,
sdtasdt0(sdtasdt0(xl,xm),xp) = sdtasdt0(xp,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_15012,c_4260]) ).
tcf(c_28709,plain,
sdtasdt0(sdtpldt0(xn,xr),xp) = sdtasdt0(xp,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_15397,c_4260]) ).
tcf(c_28710,plain,
sdtasdt0(sdtpldt0(xp,xn),xp) = sdtasdt0(xp,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_15554,c_4260]) ).
tcf(c_28711,plain,
sdtasdt0(sdtpldt0(xn,xq),xp) = sdtasdt0(xp,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_15747,c_4260]) ).
tcf(c_28712,plain,
sdtasdt0(sdtasdt0(xl,xn),xp) = sdtasdt0(xp,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_16017,c_4260]) ).
tcf(c_28713,plain,
sdtasdt0(sdtasdt0(xl,xq),xp) = sdtasdt0(xp,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_16434,c_4260]) ).
tcf(c_28714,plain,
sdtasdt0(sdtasdt0(xm,xn),xp) = sdtasdt0(xp,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_19471,c_4260]) ).
tcf(c_28715,plain,
sdtasdt0(sdtasdt0(xm,xr),xp) = sdtasdt0(xp,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_19732,c_4260]) ).
tcf(c_28716,plain,
sdtasdt0(sdtasdt0(xm,xp),xp) = sdtasdt0(xp,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_19902,c_4260]) ).
tcf(c_28717,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_20102,c_4260]) ).
tcf(c_28718,plain,
sdtasdt0(sdtasdt0(xm,xq),xp) = sdtasdt0(xp,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_20344,c_4260]) ).
tcf(c_28719,plain,
sdtasdt0(sdtasdt0(xn,xr),xp) = sdtasdt0(xp,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_21980,c_4260]) ).
tcf(c_28720,plain,
sdtasdt0(sdtasdt0(xp,xn),xp) = sdtasdt0(xp,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_22540,c_4260]) ).
tcf(c_28721,plain,
sdtasdt0(sdtasdt0(xn,xq),xp) = sdtasdt0(xp,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_22836,c_4260]) ).
tcf(c_28823,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xr))
| ( sz00 = xp )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_28695,c_87]) ).
tcf(c_28824,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,xr))
| ( sz00 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_28695,c_83]) ).
tcf(c_28825,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xp,xr))
| ( sz00 = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_28695,c_85]) ).
tcf(c_28826,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_28695,c_90]) ).
tcf(c_28829,plain,
( ( sz00 = xr )
| ( sz00 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ( sdtasdt0(xp,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_28695,c_88]) ).
tcf(c_28830,plain,
( doDivides0(xr,sdtasdt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_28695,c_140]) ).
tcf(c_28831,plain,
( aNaturalNumber0(sdtasdt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_28695,c_107]) ).
tcf(c_28832,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_28695,c_87]) ).
tcf(c_28833,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_28695,c_89]) ).
tcf(c_28834,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_28695,c_85]) ).
tcf(c_28835,plain,
aNaturalNumber0(sdtasdt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_28831,c_4939,c_3837]) ).
tcf(c_28836,plain,
doDivides0(xr,sdtasdt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_28830,c_4939,c_3837]) ).
tcf(c_28837,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,xr))
| ( sz00 = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28824,c_4939,c_3837]) ).
tcf(c_28840,plain,
( ( sz00 = xr )
| ( sz00 = xp )
| ( sdtasdt0(xp,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28829,c_4939,c_3837]) ).
tcf(c_28844,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28833,c_4939,c_3837]) ).
tcf(c_28849,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28826,c_4939,c_3837]) ).
tcf(c_28854,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28834,c_4939,c_3837]) ).
tcf(c_28860,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28832,c_4939,c_3837]) ).
tcf(c_28866,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xp,xr))
| ( sz00 = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28825,c_4939,c_3837]) ).
tcf(c_28872,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xr))
| ( sz00 = xp )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28823,c_4939,c_3837]) ).
tcf(c_28882,plain,
sdtasdt0(sdtasdt0(xp,xr),xp) = sdtasdt0(xp,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_28835,c_4260]) ).
tcf(c_28883,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xp,xr)),xp) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_28835,c_4259]) ).
tcf(c_28884,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xp,xr)),xl) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_28835,c_4186]) ).
tcf(c_28885,plain,
sdtpldt0(sdtasdt0(xp,xr),sdtmndt0(sdtasdt0(xp,xr),sdtasdt0(xp,xr))) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_28835,c_4041]) ).
tcf(c_28886,plain,
sdtpldt0(sdtasdt0(xp,xr),sK0(sdtasdt0(xp,xr),sdtasdt0(xp,xr))) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_28835,c_3458]) ).
tcf(c_28887,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xp,xr)),sz00) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_28835,c_3195]) ).
tcf(c_28888,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xp,xr)),xn) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_28835,c_3190]) ).
tcf(c_28889,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xp,xr)),xm) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_28835,c_3189]) ).
tcf(c_28890,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xp,xr)),xl) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_28835,c_3188]) ).
tcf(c_28891,plain,
sdtasdt0(sdtasdt0(xp,xr),sz00) = sdtasdt0(sz00,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_28835,c_3101]) ).
tcf(c_28892,plain,
sdtasdt0(sdtasdt0(xp,xr),xn) = sdtasdt0(xn,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_28835,c_3096]) ).
tcf(c_28893,plain,
sdtasdt0(sdtasdt0(xp,xr),xm) = sdtasdt0(xm,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_28835,c_3095]) ).
tcf(c_28894,plain,
sdtasdt0(sdtasdt0(xp,xr),xl) = sdtasdt0(xl,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_28835,c_3094]) ).
tcf(c_28895,plain,
sdtpldt0(sdtasdt0(xp,xr),sz00) = sdtpldt0(sz00,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_28835,c_2815]) ).
tcf(c_28896,plain,
sdtpldt0(sdtasdt0(xp,xr),xn) = sdtpldt0(xn,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_28835,c_2811]) ).
tcf(c_28897,plain,
sdtpldt0(sdtasdt0(xp,xr),xm) = sdtpldt0(xm,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_28835,c_2810]) ).
tcf(c_28898,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xp,xr),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xp,xr)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28835,c_72]) ).
tcf(c_28899,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xp,xr))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xp,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28835,c_71]) ).
tcf(c_28900,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xp,xr)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xp,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28835,c_105]) ).
tcf(c_28901,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xp,xr)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xp,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28835,c_75]) ).
tcf(c_28902,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xp,xr),X0),sdtasdt0(xp,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28835,c_153]) ).
tcf(c_28903,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xp,xr),X0),sdtasdt0(xp,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28835,c_146]) ).
tcf(c_28904,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,xr),X0) = sdtasdt0(X0,sdtasdt0(xp,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28835,c_106]) ).
tcf(c_28905,plain,
sdtpldt0(sdtasdt0(xp,xr),xl) = sdtpldt0(xl,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_28835,c_2809]) ).
tcf(c_28906,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,xr),X0) = sdtpldt0(X0,sdtasdt0(xp,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28835,c_76]) ).
tcf(c_28907,plain,
sdtasdt0(sz00,sdtasdt0(xp,xr)) = sz00,
inference(superposition,[status(thm)],[c_28835,c_92]) ).
tcf(c_28908,plain,
sdtasdt0(sdtasdt0(xp,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_28835,c_91]) ).
tcf(c_28909,plain,
sdtpldt0(sz00,sdtasdt0(xp,xr)) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_28835,c_74]) ).
tcf(c_28910,plain,
sdtpldt0(sdtasdt0(xp,xr),sz00) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_28835,c_73]) ).
tcf(c_29040,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28836,c_79]) ).
tcf(c_29041,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xr),xr)) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28836,c_96]) ).
tcf(c_29042,plain,
( ( sdtasdt0(xr,sK1(xr,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28836,c_82]) ).
tcf(c_29043,plain,
sdtasdt0(xr,sK1(xr,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_29042,c_4939,c_28835]) ).
tcf(c_29044,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29040,c_4939,c_28835]) ).
tcf(c_29048,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xr),xr)) = sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29041,c_4939,c_28835]) ).
tcf(c_29052,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xq))
| ( sz00 = xp )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_28697,c_87]) ).
tcf(c_29053,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xq))
| ( sz00 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_28697,c_83]) ).
tcf(c_29054,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sdtasdt0(xp,xq))
| ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_28697,c_85]) ).
tcf(c_29055,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_28697,c_90]) ).
tcf(c_29058,plain,
( ( sz00 = xq )
| ( sz00 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ( sdtasdt0(xp,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_28697,c_88]) ).
tcf(c_29059,plain,
( doDivides0(xq,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_28697,c_140]) ).
tcf(c_29060,plain,
( aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_28697,c_107]) ).
tcf(c_29061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_28697,c_87]) ).
tcf(c_29062,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sdtasdt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_28697,c_89]) ).
tcf(c_29063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_28697,c_85]) ).
tcf(c_29064,plain,
aNaturalNumber0(sdtasdt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_29060,c_4938,c_3837]) ).
tcf(c_29065,plain,
doDivides0(xq,sdtasdt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_29059,c_4938,c_3837]) ).
tcf(c_29066,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xq))
| ( sz00 = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29053,c_4938,c_3837]) ).
tcf(c_29069,plain,
( ( sz00 = xq )
| ( sz00 = xp )
| ( sdtasdt0(xp,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29058,c_4938,c_3837]) ).
tcf(c_29073,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29062,c_4938,c_3837]) ).
tcf(c_29078,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29055,c_4938,c_3837]) ).
tcf(c_29083,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29063,c_4938,c_3837]) ).
tcf(c_29089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29061,c_4938,c_3837]) ).
tcf(c_29095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sdtasdt0(xp,xq))
| ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29054,c_4938,c_3837]) ).
tcf(c_29101,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xq))
| ( sz00 = xp )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29052,c_4938,c_3837]) ).
tcf(c_29111,plain,
sdtasdt0(sdtasdt0(xp,xq),xp) = sdtasdt0(xp,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_29064,c_4260]) ).
tcf(c_29112,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xp,xq)),xp) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_29064,c_4259]) ).
tcf(c_29113,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xp,xq)),xl) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_29064,c_4186]) ).
tcf(c_29114,plain,
sdtpldt0(sdtasdt0(xp,xq),sdtmndt0(sdtasdt0(xp,xq),sdtasdt0(xp,xq))) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_29064,c_4041]) ).
tcf(c_29115,plain,
sdtpldt0(sdtasdt0(xp,xq),sK0(sdtasdt0(xp,xq),sdtasdt0(xp,xq))) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_29064,c_3458]) ).
tcf(c_29116,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xp,xq)),sz00) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_29064,c_3195]) ).
tcf(c_29117,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xp,xq)),xn) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_29064,c_3190]) ).
tcf(c_29118,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xp,xq)),xm) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_29064,c_3189]) ).
tcf(c_29119,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xp,xq)),xl) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_29064,c_3188]) ).
tcf(c_29120,plain,
sdtasdt0(sdtasdt0(xp,xq),sz00) = sdtasdt0(sz00,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_29064,c_3101]) ).
tcf(c_29121,plain,
sdtasdt0(sdtasdt0(xp,xq),xn) = sdtasdt0(xn,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_29064,c_3096]) ).
tcf(c_29122,plain,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtasdt0(xm,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_29064,c_3095]) ).
tcf(c_29123,plain,
sdtasdt0(sdtasdt0(xp,xq),xl) = sdtasdt0(xl,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_29064,c_3094]) ).
tcf(c_29124,plain,
sdtpldt0(sdtasdt0(xp,xq),sz00) = sdtpldt0(sz00,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_29064,c_2815]) ).
tcf(c_29125,plain,
sdtpldt0(sdtasdt0(xp,xq),xn) = sdtpldt0(xn,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_29064,c_2811]) ).
tcf(c_29126,plain,
sdtpldt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xm,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_29064,c_2810]) ).
tcf(c_29127,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xp,xq),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xp,xq)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29064,c_72]) ).
tcf(c_29128,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xp,xq))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xp,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29064,c_71]) ).
tcf(c_29129,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xp,xq)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xp,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29064,c_105]) ).
tcf(c_29130,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xp,xq)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xp,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29064,c_75]) ).
tcf(c_29131,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xp,xq),X0),sdtasdt0(xp,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29064,c_153]) ).
tcf(c_29132,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xp,xq),X0),sdtasdt0(xp,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29064,c_146]) ).
tcf(c_29133,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,xq),X0) = sdtasdt0(X0,sdtasdt0(xp,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29064,c_106]) ).
tcf(c_29134,plain,
sdtpldt0(sdtasdt0(xp,xq),xl) = sdtpldt0(xl,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_29064,c_2809]) ).
tcf(c_29135,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,xq),X0) = sdtpldt0(X0,sdtasdt0(xp,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29064,c_76]) ).
tcf(c_29136,plain,
sdtasdt0(sz00,sdtasdt0(xp,xq)) = sz00,
inference(superposition,[status(thm)],[c_29064,c_92]) ).
tcf(c_29137,plain,
sdtasdt0(sdtasdt0(xp,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_29064,c_91]) ).
tcf(c_29138,plain,
sdtpldt0(sz00,sdtasdt0(xp,xq)) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_29064,c_74]) ).
tcf(c_29139,plain,
sdtpldt0(sdtasdt0(xp,xq),sz00) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_29064,c_73]) ).
tcf(c_29562,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29065,c_79]) ).
tcf(c_29563,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xp,xq),xq)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29065,c_96]) ).
tcf(c_29564,plain,
( ( sdtasdt0(xq,sK1(xq,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29065,c_82]) ).
tcf(c_29565,plain,
sdtasdt0(xq,sK1(xq,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_29564,c_4938,c_29064]) ).
tcf(c_29566,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29562,c_4938,c_29064]) ).
tcf(c_29570,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xp,xq),xq)) = sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29563,c_4938,c_29064]) ).
tcf(c_29574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28907,c_87]) ).
tcf(c_29577,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtasdt0(X0,sdtasdt0(xp,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_28907,c_90]) ).
tcf(c_29583,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28907,c_87]) ).
tcf(c_29586,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29577,c_93,c_28835]) ).
tcf(c_29591,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29583,c_93,c_28835]) ).
tcf(c_29597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29574,c_93,c_28835]) ).
tcf(c_29606,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28908,c_85]) ).
tcf(c_29611,plain,
( doDivides0(sdtasdt0(xp,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28908,c_140]) ).
tcf(c_29614,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtasdt0(sdtasdt0(xp,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_28908,c_89]) ).
tcf(c_29615,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28908,c_85]) ).
tcf(c_29616,plain,
doDivides0(sdtasdt0(xp,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_29611,c_93,c_28835]) ).
tcf(c_29617,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29614,c_93,c_28835]) ).
tcf(c_29622,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29615,c_93,c_28835]) ).
tcf(c_29628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29606,c_93,c_28835]) ).
tcf(c_29634,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ doDivides0(X0,sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29616,c_79]) ).
tcf(c_29635,plain,
( ( sdtasdt0(xp,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xr),sdtsldt0(sz00,sdtasdt0(xp,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29616,c_96]) ).
tcf(c_29636,plain,
( ( sdtasdt0(sdtasdt0(xp,xr),sK1(sdtasdt0(xp,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29616,c_82]) ).
tcf(c_29637,plain,
sdtasdt0(sdtasdt0(xp,xr),sK1(sdtasdt0(xp,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_29636,c_93,c_28835]) ).
tcf(c_29638,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29634,c_93,c_28835]) ).
tcf(c_29642,plain,
( ( sdtasdt0(xp,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xr),sdtsldt0(sz00,sdtasdt0(xp,xr))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29635,c_93,c_28835]) ).
tcf(c_29645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29136,c_87]) ).
tcf(c_29648,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ( sdtasdt0(X0,sdtasdt0(xp,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_29136,c_90]) ).
tcf(c_29654,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29136,c_87]) ).
tcf(c_29657,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29648,c_93,c_29064]) ).
tcf(c_29662,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29654,c_93,c_29064]) ).
tcf(c_29668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29645,c_93,c_29064]) ).
tcf(c_29676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29137,c_85]) ).
tcf(c_29681,plain,
( doDivides0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29137,c_140]) ).
tcf(c_29684,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ( sdtasdt0(sdtasdt0(xp,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_29137,c_89]) ).
tcf(c_29685,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29137,c_85]) ).
tcf(c_29686,plain,
doDivides0(sdtasdt0(xp,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_29681,c_93,c_29064]) ).
tcf(c_29687,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29684,c_93,c_29064]) ).
tcf(c_29692,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29685,c_93,c_29064]) ).
tcf(c_29698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29676,c_93,c_29064]) ).
tcf(c_29704,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ doDivides0(X0,sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29686,c_79]) ).
tcf(c_29705,plain,
( ( sdtasdt0(xp,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xq),sdtsldt0(sz00,sdtasdt0(xp,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29686,c_96]) ).
tcf(c_29706,plain,
( ( sdtasdt0(sdtasdt0(xp,xq),sK1(sdtasdt0(xp,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29686,c_82]) ).
tcf(c_29707,plain,
sdtasdt0(sdtasdt0(xp,xq),sK1(sdtasdt0(xp,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_29706,c_93,c_29064]) ).
tcf(c_29708,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29704,c_93,c_29064]) ).
tcf(c_29712,plain,
( ( sdtasdt0(xp,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xq),sdtsldt0(sz00,sdtasdt0(xp,xq))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29705,c_93,c_29064]) ).
tcf(c_29719,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xr))
| ( sz00 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28837,c_99]) ).
tcf(c_29720,plain,
( ( sz00 = xp )
| ( sdtpldt0(xr,sdtmndt0(sdtasdt0(xp,xr),xr)) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28837,c_104]) ).
tcf(c_29721,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),xr) ),
inference(superposition,[status(thm)],[c_28837,c_100]) ).
tcf(c_29722,plain,
( ( sz00 = xp )
| ( sdtpldt0(xr,sK0(xr,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28837,c_66]) ).
tcf(c_29723,plain,
( ( sz00 = xp )
| ( sdtpldt0(xr,sK0(xr,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29722,c_4939,c_28835]) ).
tcf(c_29726,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,xr) = xr )
| ~ sdtlseqdt0(sdtasdt0(xp,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29721,c_4939,c_28835]) ).
tcf(c_29730,plain,
( ( sz00 = xp )
| ( sdtpldt0(xr,sdtmndt0(sdtasdt0(xp,xr),xr)) = sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29720,c_4939,c_28835]) ).
tcf(c_29733,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xr))
| ( sz00 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29719,c_4939,c_28835]) ).
tcf(c_29809,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xq))
| ( sz00 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29066,c_99]) ).
tcf(c_29810,plain,
( ( sz00 = xp )
| ( sdtpldt0(xq,sdtmndt0(sdtasdt0(xp,xq),xq)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29066,c_104]) ).
tcf(c_29811,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),xq) ),
inference(superposition,[status(thm)],[c_29066,c_100]) ).
tcf(c_29812,plain,
( ( sz00 = xp )
| ( sdtpldt0(xq,sK0(xq,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29066,c_66]) ).
tcf(c_29813,plain,
( ( sz00 = xp )
| ( sdtpldt0(xq,sK0(xq,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29812,c_4938,c_29064]) ).
tcf(c_29816,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,xq) = xq )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29811,c_4938,c_29064]) ).
tcf(c_29820,plain,
( ( sz00 = xp )
| ( sdtpldt0(xq,sdtmndt0(sdtasdt0(xp,xq),xq)) = sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29810,c_4938,c_29064]) ).
tcf(c_29823,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xq))
| ( sz00 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29809,c_4938,c_29064]) ).
tcf(c_29842,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28909,c_143]) ).
tcf(c_29844,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtpldt0(X0,sdtasdt0(xp,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28909,c_63]) ).
tcf(c_29845,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_28909,c_69]) ).
tcf(c_29846,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_28909,c_61]) ).
tcf(c_29848,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtpldt0(X0,sdtasdt0(xp,xr)) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_28909,c_70]) ).
tcf(c_29849,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28909,c_61]) ).
tcf(c_29850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xr)),sdtasdt0(xp,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28909,c_63]) ).
tcf(c_29851,plain,
sdtlseqdt0(sz00,sdtasdt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_29842,c_93,c_28835]) ).
tcf(c_29852,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xp,xr)) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29848,c_93,c_28835]) ).
tcf(c_29856,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29845,c_93,c_28835]) ).
tcf(c_29860,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xr)),sdtasdt0(xp,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29850,c_93,c_28835]) ).
tcf(c_29865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtpldt0(X0,sdtasdt0(xp,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29844,c_93,c_28835]) ).
tcf(c_29870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29849,c_93,c_28835]) ).
tcf(c_29875,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29846,c_93,c_28835]) ).
tcf(c_29883,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29851,c_99]) ).
tcf(c_29884,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xp,xr),sz00)) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29851,c_104]) ).
tcf(c_29885,plain,
( ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),sz00) ),
inference(superposition,[status(thm)],[c_29851,c_100]) ).
tcf(c_29886,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29851,c_66]) ).
tcf(c_29887,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_29886,c_93,c_28835]) ).
tcf(c_29888,plain,
( ( sdtasdt0(xp,xr) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xp,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29885,c_93,c_28835]) ).
tcf(c_29891,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xp,xr),sz00)) = sdtasdt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_29884,c_93,c_28835]) ).
tcf(c_29892,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29883,c_93,c_28835]) ).
tcf(c_29900,plain,
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(xp,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28910,c_143]) ).
tcf(c_29902,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_28910,c_63]) ).
tcf(c_29903,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtpldt0(sdtasdt0(xp,xr),X0) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_28910,c_69]) ).
tcf(c_29904,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtpldt0(sdtasdt0(xp,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28910,c_61]) ).
tcf(c_29906,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_28910,c_70]) ).
tcf(c_29907,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xr),X0),sdtasdt0(xp,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28910,c_61]) ).
tcf(c_29908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_28910,c_63]) ).
tcf(c_29909,plain,
sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_29900,c_93,c_28835]) ).
tcf(c_29910,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29906,c_93,c_28835]) ).
tcf(c_29914,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xp,xr),X0) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29903,c_93,c_28835]) ).
tcf(c_29918,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xr),X0),sdtasdt0(xp,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29907,c_93,c_28835]) ).
tcf(c_29923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtpldt0(sdtasdt0(xp,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29904,c_93,c_28835]) ).
tcf(c_29928,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29908,c_93,c_28835]) ).
tcf(c_29933,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29902,c_93,c_28835]) ).
tcf(c_29947,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29138,c_143]) ).
tcf(c_29949,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtpldt0(X0,sdtasdt0(xp,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29138,c_63]) ).
tcf(c_29950,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_29138,c_69]) ).
tcf(c_29951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),X0) ),
inference(superposition,[status(thm)],[c_29138,c_61]) ).
tcf(c_29953,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ( sdtpldt0(X0,sdtasdt0(xp,xq)) != sdtasdt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_29138,c_70]) ).
tcf(c_29954,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xq))
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29138,c_61]) ).
tcf(c_29955,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xq)),sdtasdt0(xp,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29138,c_63]) ).
tcf(c_29956,plain,
sdtlseqdt0(sz00,sdtasdt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_29947,c_93,c_29064]) ).
tcf(c_29957,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xp,xq)) != sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29953,c_93,c_29064]) ).
tcf(c_29961,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29950,c_93,c_29064]) ).
tcf(c_29965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xq)),sdtasdt0(xp,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29955,c_93,c_29064]) ).
tcf(c_29970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtpldt0(X0,sdtasdt0(xp,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29949,c_93,c_29064]) ).
tcf(c_29975,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xq))
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29954,c_93,c_29064]) ).
tcf(c_29980,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29951,c_93,c_29064]) ).
tcf(c_29988,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29956,c_99]) ).
tcf(c_29989,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xp,xq),sz00)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29956,c_104]) ).
tcf(c_29990,plain,
( ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_29956,c_100]) ).
tcf(c_29991,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29956,c_66]) ).
tcf(c_29992,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_29991,c_93,c_29064]) ).
tcf(c_29993,plain,
( ( sdtasdt0(xp,xq) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29990,c_93,c_29064]) ).
tcf(c_29996,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xp,xq),sz00)) = sdtasdt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_29989,c_93,c_29064]) ).
tcf(c_29997,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29988,c_93,c_29064]) ).
tcf(c_30005,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29139,c_143]) ).
tcf(c_30007,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),X0) ),
inference(superposition,[status(thm)],[c_29139,c_63]) ).
tcf(c_30008,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ( sdtpldt0(sdtasdt0(xp,xq),X0) != sdtasdt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_29139,c_69]) ).
tcf(c_30009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtpldt0(sdtasdt0(xp,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29139,c_61]) ).
tcf(c_30011,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_29139,c_70]) ).
tcf(c_30012,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),X0),sdtasdt0(xp,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29139,c_61]) ).
tcf(c_30013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xq))
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_29139,c_63]) ).
tcf(c_30014,plain,
sdtlseqdt0(sdtasdt0(xp,xq),sdtasdt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_30005,c_93,c_29064]) ).
tcf(c_30015,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30011,c_93,c_29064]) ).
tcf(c_30019,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xp,xq),X0) != sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30008,c_93,c_29064]) ).
tcf(c_30023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),X0),sdtasdt0(xp,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30012,c_93,c_29064]) ).
tcf(c_30028,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtpldt0(sdtasdt0(xp,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30009,c_93,c_29064]) ).
tcf(c_30033,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xq))
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30013,c_93,c_29064]) ).
tcf(c_30038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30007,c_93,c_29064]) ).
tcf(c_30054,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(xp,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_4262]) ).
tcf(c_30055,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_65,c_4262]) ).
tcf(c_30056,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xp) = sdtpldt0(xp,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_4262]) ).
tcf(c_30057,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_81,c_4262]) ).
tcf(c_30059,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_95,c_4262]) ).
tcf(c_30060,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),xp) = sdtpldt0(xp,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_4262]) ).
tcf(c_30061,plain,
sdtpldt0(sdtpldt0(xl,xm),xp) = sdtpldt0(xp,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2931,c_4262]) ).
tcf(c_30062,plain,
sdtpldt0(sdtpldt0(xl,xn),xp) = sdtpldt0(xp,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2971,c_4262]) ).
tcf(c_30063,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_3010,c_4262]) ).
tcf(c_30064,plain,
sdtpldt0(xp,xr) = sdtpldt0(xr,xp),
inference(superposition,[status(thm)],[c_4939,c_4262]) ).
tcf(c_30066,plain,
sdtpldt0(xp,xq) = sdtpldt0(xq,xp),
inference(superposition,[status(thm)],[c_4938,c_4262]) ).
tcf(c_30067,plain,
sdtpldt0(sdtasdt0(xl,xr),xp) = sdtpldt0(xp,sdtasdt0(xl,xr)),
inference(superposition,[status(thm)],[c_16212,c_4262]) ).
tcf(c_30068,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_3373,c_4262]) ).
tcf(c_30069,plain,
sdtpldt0(sdtpldt0(xm,xn),xp) = sdtpldt0(xp,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12823,c_4262]) ).
tcf(c_30070,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_5245,c_4262]) ).
tcf(c_30071,plain,
sdtpldt0(sdtpldt0(xl,xp),xp) = sdtpldt0(xp,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_7844,c_4262]) ).
tcf(c_30072,plain,
sdtpldt0(sdtpldt0(xl,xq),xp) = sdtpldt0(xp,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_9733,c_4262]) ).
tcf(c_30073,plain,
sdtpldt0(sdtpldt0(xl,xr),xp) = sdtpldt0(xp,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_10141,c_4262]) ).
tcf(c_30074,plain,
sdtpldt0(sdtpldt0(xm,xr),xp) = sdtpldt0(xp,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_12990,c_4262]) ).
tcf(c_30075,plain,
sdtpldt0(sdtpldt0(xm,xp),xp) = sdtpldt0(xp,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_13190,c_4262]) ).
tcf(c_30076,plain,
sdtpldt0(sdtpldt0(xm,xq),xp) = sdtpldt0(xp,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_13506,c_4262]) ).
tcf(c_30077,plain,
sdtpldt0(sdtasdt0(xl,xm),xp) = sdtpldt0(xp,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_15012,c_4262]) ).
tcf(c_30078,plain,
sdtpldt0(sdtpldt0(xn,xr),xp) = sdtpldt0(xp,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_15397,c_4262]) ).
tcf(c_30079,plain,
sdtpldt0(sdtpldt0(xp,xn),xp) = sdtpldt0(xp,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_15554,c_4262]) ).
tcf(c_30080,plain,
sdtpldt0(sdtpldt0(xn,xq),xp) = sdtpldt0(xp,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_15747,c_4262]) ).
tcf(c_30081,plain,
sdtpldt0(sdtasdt0(xl,xn),xp) = sdtpldt0(xp,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_16017,c_4262]) ).
tcf(c_30082,plain,
sdtpldt0(sdtasdt0(xl,xq),xp) = sdtpldt0(xp,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_16434,c_4262]) ).
tcf(c_30083,plain,
sdtpldt0(sdtasdt0(xm,xn),xp) = sdtpldt0(xp,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_19471,c_4262]) ).
tcf(c_30084,plain,
sdtpldt0(sdtasdt0(xm,xr),xp) = sdtpldt0(xp,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_19732,c_4262]) ).
tcf(c_30085,plain,
sdtpldt0(sdtasdt0(xm,xp),xp) = sdtpldt0(xp,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_19902,c_4262]) ).
tcf(c_30086,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_20102,c_4262]) ).
tcf(c_30087,plain,
sdtpldt0(sdtasdt0(xm,xq),xp) = sdtpldt0(xp,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_20344,c_4262]) ).
tcf(c_30088,plain,
sdtpldt0(sdtasdt0(xn,xr),xp) = sdtpldt0(xp,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_21980,c_4262]) ).
tcf(c_30089,plain,
sdtpldt0(sdtasdt0(xp,xn),xp) = sdtpldt0(xp,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_22540,c_4262]) ).
tcf(c_30090,plain,
sdtpldt0(sdtasdt0(xn,xq),xp) = sdtpldt0(xp,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_22836,c_4262]) ).
tcf(c_30091,plain,
sdtpldt0(sdtasdt0(xp,xr),xp) = sdtpldt0(xp,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_28835,c_4262]) ).
tcf(c_30092,plain,
sdtpldt0(sdtasdt0(xp,xq),xp) = sdtpldt0(xp,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_29064,c_4262]) ).
tcf(c_30197,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_30064,c_68]) ).
tcf(c_30198,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_30064,c_67]) ).
tcf(c_30199,plain,
( sdtlseqdt0(xr,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_30064,c_143]) ).
tcf(c_30200,plain,
( aNaturalNumber0(sdtpldt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_30064,c_77]) ).
tcf(c_30201,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(X0,xp))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_30064,c_63]) ).
tcf(c_30202,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_30064,c_69]) ).
tcf(c_30203,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(xr,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_30064,c_61]) ).
tcf(c_30204,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_30064,c_78]) ).
tcf(c_30205,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_30064,c_70]) ).
tcf(c_30206,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xp,xr))
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_30064,c_61]) ).
tcf(c_30207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_30064,c_63]) ).
tcf(c_30208,plain,
aNaturalNumber0(sdtpldt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_30200,c_4939,c_3837]) ).
tcf(c_30209,plain,
sdtlseqdt0(xr,sdtpldt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_30199,c_4939,c_3837]) ).
tcf(c_30210,plain,
( ( sz00 = xr )
| ( sdtpldt0(xp,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30198,c_4939,c_3837]) ).
tcf(c_30213,plain,
( ( sz00 = xp )
| ( sdtpldt0(xp,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30197,c_4939,c_3837]) ).
tcf(c_30216,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30205,c_4939,c_3837]) ).
tcf(c_30220,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30204,c_4939,c_3837]) ).
tcf(c_30225,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30202,c_4939,c_3837]) ).
tcf(c_30229,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30207,c_4939,c_3837]) ).
tcf(c_30234,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xp,xr))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30206,c_4939,c_3837]) ).
tcf(c_30239,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(xr,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30203,c_4939,c_3837]) ).
tcf(c_30244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(X0,xp))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30201,c_4939,c_3837]) ).
tcf(c_30316,plain,
sdtpldt0(sdtpldt0(xp,xr),xp) = sdtpldt0(xp,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_30208,c_4262]) ).
tcf(c_30317,plain,
sdtasdt0(sdtpldt0(xp,xr),xp) = sdtasdt0(xp,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_30208,c_4260]) ).
tcf(c_30318,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xp,xr)),xp) = sdtpldt0(xp,xr),
inference(superposition,[status(thm)],[c_30208,c_4259]) ).
tcf(c_30319,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xp,xr)),xl) = sdtpldt0(xp,xr),
inference(superposition,[status(thm)],[c_30208,c_4186]) ).
tcf(c_30320,plain,
sdtpldt0(sdtpldt0(xp,xr),sdtmndt0(sdtpldt0(xp,xr),sdtpldt0(xp,xr))) = sdtpldt0(xp,xr),
inference(superposition,[status(thm)],[c_30208,c_4041]) ).
tcf(c_30321,plain,
sdtpldt0(sdtpldt0(xp,xr),sK0(sdtpldt0(xp,xr),sdtpldt0(xp,xr))) = sdtpldt0(xp,xr),
inference(superposition,[status(thm)],[c_30208,c_3458]) ).
tcf(c_30322,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xp,xr)),sz00) = sdtpldt0(xp,xr),
inference(superposition,[status(thm)],[c_30208,c_3195]) ).
tcf(c_30323,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xp,xr)),xn) = sdtpldt0(xp,xr),
inference(superposition,[status(thm)],[c_30208,c_3190]) ).
tcf(c_30324,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xp,xr)),xm) = sdtpldt0(xp,xr),
inference(superposition,[status(thm)],[c_30208,c_3189]) ).
tcf(c_30325,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xp,xr)),xl) = sdtpldt0(xp,xr),
inference(superposition,[status(thm)],[c_30208,c_3188]) ).
tcf(c_30326,plain,
sdtasdt0(sdtpldt0(xp,xr),sz00) = sdtasdt0(sz00,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_30208,c_3101]) ).
tcf(c_30327,plain,
sdtasdt0(sdtpldt0(xp,xr),xn) = sdtasdt0(xn,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_30208,c_3096]) ).
tcf(c_30328,plain,
sdtasdt0(sdtpldt0(xp,xr),xm) = sdtasdt0(xm,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_30208,c_3095]) ).
tcf(c_30329,plain,
sdtasdt0(sdtpldt0(xp,xr),xl) = sdtasdt0(xl,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_30208,c_3094]) ).
tcf(c_30330,plain,
sdtpldt0(sdtpldt0(xp,xr),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_30208,c_2815]) ).
tcf(c_30331,plain,
sdtpldt0(sdtpldt0(xp,xr),xn) = sdtpldt0(xn,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_30208,c_2811]) ).
tcf(c_30332,plain,
sdtpldt0(sdtpldt0(xp,xr),xm) = sdtpldt0(xm,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_30208,c_2810]) ).
tcf(c_30333,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xp,xr),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xp,xr)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30208,c_72]) ).
tcf(c_30334,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xp,xr))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xp,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30208,c_71]) ).
tcf(c_30335,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xp,xr)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xp,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30208,c_105]) ).
tcf(c_30336,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xp,xr)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xp,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30208,c_75]) ).
tcf(c_30337,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,xr),X0),sdtpldt0(xp,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30208,c_153]) ).
tcf(c_30338,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xp,xr),X0),sdtpldt0(xp,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30208,c_146]) ).
tcf(c_30339,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xr),X0) = sdtasdt0(X0,sdtpldt0(xp,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30208,c_106]) ).
tcf(c_30340,plain,
sdtpldt0(sdtpldt0(xp,xr),xl) = sdtpldt0(xl,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_30208,c_2809]) ).
tcf(c_30341,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xr),X0) = sdtpldt0(X0,sdtpldt0(xp,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30208,c_76]) ).
tcf(c_30342,plain,
sdtasdt0(sz00,sdtpldt0(xp,xr)) = sz00,
inference(superposition,[status(thm)],[c_30208,c_92]) ).
tcf(c_30343,plain,
sdtasdt0(sdtpldt0(xp,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_30208,c_91]) ).
tcf(c_30344,plain,
sdtpldt0(sz00,sdtpldt0(xp,xr)) = sdtpldt0(xp,xr),
inference(superposition,[status(thm)],[c_30208,c_74]) ).
tcf(c_30345,plain,
sdtpldt0(sdtpldt0(xp,xr),sz00) = sdtpldt0(xp,xr),
inference(superposition,[status(thm)],[c_30208,c_73]) ).
tcf(c_30373,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30209,c_99]) ).
tcf(c_30374,plain,
( ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xp,xr),xr)) = sdtpldt0(xp,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30209,c_104]) ).
tcf(c_30375,plain,
( ( sdtpldt0(xp,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xr) ),
inference(superposition,[status(thm)],[c_30209,c_100]) ).
tcf(c_30376,plain,
( ( sdtpldt0(xr,sK0(xr,sdtpldt0(xp,xr))) = sdtpldt0(xp,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30209,c_66]) ).
tcf(c_30377,plain,
sdtpldt0(xr,sK0(xr,sdtpldt0(xp,xr))) = sdtpldt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_30376,c_4939,c_30208]) ).
tcf(c_30378,plain,
( ( sdtpldt0(xp,xr) = xr )
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30375,c_4939,c_30208]) ).
tcf(c_30381,plain,
sdtpldt0(xr,sdtmndt0(sdtpldt0(xp,xr),xr)) = sdtpldt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_30374,c_4939,c_30208]) ).
tcf(c_30382,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30373,c_4939,c_30208]) ).
tcf(c_30389,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_30066,c_68]) ).
tcf(c_30390,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_30066,c_67]) ).
tcf(c_30391,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_30066,c_143]) ).
tcf(c_30392,plain,
( aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_30066,c_77]) ).
tcf(c_30393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(X0,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_30066,c_63]) ).
tcf(c_30394,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_30066,c_69]) ).
tcf(c_30395,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(xq,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_30066,c_61]) ).
tcf(c_30396,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_30066,c_78]) ).
tcf(c_30397,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_30066,c_70]) ).
tcf(c_30398,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xp,xq))
| ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_30066,c_61]) ).
tcf(c_30399,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_30066,c_63]) ).
tcf(c_30400,plain,
aNaturalNumber0(sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_30392,c_4938,c_3837]) ).
tcf(c_30401,plain,
sdtlseqdt0(xq,sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_30391,c_4938,c_3837]) ).
tcf(c_30402,plain,
( ( sz00 = xq )
| ( sdtpldt0(xp,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30390,c_4938,c_3837]) ).
tcf(c_30405,plain,
( ( sz00 = xp )
| ( sdtpldt0(xp,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30389,c_4938,c_3837]) ).
tcf(c_30408,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30397,c_4938,c_3837]) ).
tcf(c_30412,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30396,c_4938,c_3837]) ).
tcf(c_30417,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30394,c_4938,c_3837]) ).
tcf(c_30421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30399,c_4938,c_3837]) ).
tcf(c_30426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xp,xq))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30398,c_4938,c_3837]) ).
tcf(c_30431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(xq,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30395,c_4938,c_3837]) ).
tcf(c_30436,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(X0,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30393,c_4938,c_3837]) ).
tcf(c_30446,plain,
sdtpldt0(sdtpldt0(xp,xq),xp) = sdtpldt0(xp,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_30400,c_4262]) ).
tcf(c_30447,plain,
sdtasdt0(sdtpldt0(xp,xq),xp) = sdtasdt0(xp,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_30400,c_4260]) ).
tcf(c_30448,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xp,xq)),xp) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_30400,c_4259]) ).
tcf(c_30449,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xp,xq)),xl) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_30400,c_4186]) ).
tcf(c_30450,plain,
sdtpldt0(sdtpldt0(xp,xq),sdtmndt0(sdtpldt0(xp,xq),sdtpldt0(xp,xq))) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_30400,c_4041]) ).
tcf(c_30451,plain,
sdtpldt0(sdtpldt0(xp,xq),sK0(sdtpldt0(xp,xq),sdtpldt0(xp,xq))) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_30400,c_3458]) ).
tcf(c_30452,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xp,xq)),sz00) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_30400,c_3195]) ).
tcf(c_30453,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xp,xq)),xn) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_30400,c_3190]) ).
tcf(c_30454,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xp,xq)),xm) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_30400,c_3189]) ).
tcf(c_30455,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xp,xq)),xl) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_30400,c_3188]) ).
tcf(c_30456,plain,
sdtasdt0(sdtpldt0(xp,xq),sz00) = sdtasdt0(sz00,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_30400,c_3101]) ).
tcf(c_30457,plain,
sdtasdt0(sdtpldt0(xp,xq),xn) = sdtasdt0(xn,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_30400,c_3096]) ).
tcf(c_30458,plain,
sdtasdt0(sdtpldt0(xp,xq),xm) = sdtasdt0(xm,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_30400,c_3095]) ).
tcf(c_30459,plain,
sdtasdt0(sdtpldt0(xp,xq),xl) = sdtasdt0(xl,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_30400,c_3094]) ).
tcf(c_30460,plain,
sdtpldt0(sdtpldt0(xp,xq),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_30400,c_2815]) ).
tcf(c_30461,plain,
sdtpldt0(sdtpldt0(xp,xq),xn) = sdtpldt0(xn,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_30400,c_2811]) ).
tcf(c_30462,plain,
sdtpldt0(sdtpldt0(xp,xq),xm) = sdtpldt0(xm,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_30400,c_2810]) ).
tcf(c_30463,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xp,xq),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xp,xq)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30400,c_72]) ).
tcf(c_30464,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xp,xq))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xp,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30400,c_71]) ).
tcf(c_30465,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xp,xq)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xp,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30400,c_105]) ).
tcf(c_30466,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xp,xq)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xp,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30400,c_75]) ).
tcf(c_30467,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,xq),X0),sdtpldt0(xp,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30400,c_153]) ).
tcf(c_30468,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xp,xq),X0),sdtpldt0(xp,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30400,c_146]) ).
tcf(c_30469,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xq),X0) = sdtasdt0(X0,sdtpldt0(xp,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30400,c_106]) ).
tcf(c_30470,plain,
sdtpldt0(sdtpldt0(xp,xq),xl) = sdtpldt0(xl,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_30400,c_2809]) ).
tcf(c_30471,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xq),X0) = sdtpldt0(X0,sdtpldt0(xp,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30400,c_76]) ).
tcf(c_30472,plain,
sdtasdt0(sz00,sdtpldt0(xp,xq)) = sz00,
inference(superposition,[status(thm)],[c_30400,c_92]) ).
tcf(c_30473,plain,
sdtasdt0(sdtpldt0(xp,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_30400,c_91]) ).
tcf(c_30474,plain,
sdtpldt0(sz00,sdtpldt0(xp,xq)) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_30400,c_74]) ).
tcf(c_30475,plain,
sdtpldt0(sdtpldt0(xp,xq),sz00) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_30400,c_73]) ).
tcf(c_30565,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30401,c_99]) ).
tcf(c_30566,plain,
( ( sdtpldt0(xq,sdtmndt0(sdtpldt0(xp,xq),xq)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30401,c_104]) ).
tcf(c_30567,plain,
( ( sdtpldt0(xp,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),xq) ),
inference(superposition,[status(thm)],[c_30401,c_100]) ).
tcf(c_30568,plain,
( ( sdtpldt0(xq,sK0(xq,sdtpldt0(xp,xq))) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30401,c_66]) ).
tcf(c_30569,plain,
sdtpldt0(xq,sK0(xq,sdtpldt0(xp,xq))) = sdtpldt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_30568,c_4938,c_30400]) ).
tcf(c_30570,plain,
( ( sdtpldt0(xp,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30567,c_4938,c_30400]) ).
tcf(c_30573,plain,
sdtpldt0(xq,sdtmndt0(sdtpldt0(xp,xq),xq)) = sdtpldt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_30566,c_4938,c_30400]) ).
tcf(c_30574,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30565,c_4938,c_30400]) ).
tcf(c_30585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_6213,c_63]) ).
tcf(c_30586,plain,
! [X0: $i] :
( ( sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_6213,c_69]) ).
tcf(c_30587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_6213,c_61]) ).
tcf(c_30589,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_6213,c_70]) ).
tcf(c_30590,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn))
| ( sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_6213,c_61]) ).
tcf(c_30591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))),sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_6213,c_63]) ).
tcf(c_30592,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30589,c_2971]) ).
tcf(c_30597,plain,
! [X0: $i] :
( ( sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30586,c_2971]) ).
tcf(c_30602,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))),sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30591,c_2971]) ).
tcf(c_30608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30585,c_2971]) ).
tcf(c_30614,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn))
| ( sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30590,c_2971]) ).
tcf(c_30620,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30587,c_2971]) ).
tcf(c_30631,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30342,c_87]) ).
tcf(c_30634,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ( sdtasdt0(X0,sdtpldt0(xp,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_30342,c_90]) ).
tcf(c_30640,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30342,c_87]) ).
tcf(c_30643,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30634,c_93,c_30208]) ).
tcf(c_30648,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30640,c_93,c_30208]) ).
tcf(c_30654,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30631,c_93,c_30208]) ).
tcf(c_30662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30343,c_85]) ).
tcf(c_30667,plain,
( doDivides0(sdtpldt0(xp,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30343,c_140]) ).
tcf(c_30670,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ( sdtasdt0(sdtpldt0(xp,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_30343,c_89]) ).
tcf(c_30671,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30343,c_85]) ).
tcf(c_30672,plain,
doDivides0(sdtpldt0(xp,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_30667,c_93,c_30208]) ).
tcf(c_30673,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30670,c_93,c_30208]) ).
tcf(c_30678,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30671,c_93,c_30208]) ).
tcf(c_30684,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30662,c_93,c_30208]) ).
tcf(c_30690,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ doDivides0(X0,sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30672,c_79]) ).
tcf(c_30691,plain,
( ( sdtpldt0(xp,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xr),sdtsldt0(sz00,sdtpldt0(xp,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30672,c_96]) ).
tcf(c_30692,plain,
( ( sdtasdt0(sdtpldt0(xp,xr),sK1(sdtpldt0(xp,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30672,c_82]) ).
tcf(c_30693,plain,
sdtasdt0(sdtpldt0(xp,xr),sK1(sdtpldt0(xp,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_30692,c_93,c_30208]) ).
tcf(c_30694,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30690,c_93,c_30208]) ).
tcf(c_30698,plain,
( ( sdtpldt0(xp,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xr),sdtsldt0(sz00,sdtpldt0(xp,xr))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30691,c_93,c_30208]) ).
tcf(c_30754,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xq)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30472,c_87]) ).
tcf(c_30757,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ( sdtasdt0(X0,sdtpldt0(xp,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_30472,c_90]) ).
tcf(c_30763,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xq)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30472,c_87]) ).
tcf(c_30766,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30757,c_93,c_30400]) ).
tcf(c_30771,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xq)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30763,c_93,c_30400]) ).
tcf(c_30777,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xq)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30754,c_93,c_30400]) ).
tcf(c_30785,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30473,c_85]) ).
tcf(c_30790,plain,
( doDivides0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30473,c_140]) ).
tcf(c_30793,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ( sdtasdt0(sdtpldt0(xp,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_30473,c_89]) ).
tcf(c_30794,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xq),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30473,c_85]) ).
tcf(c_30795,plain,
doDivides0(sdtpldt0(xp,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_30790,c_93,c_30400]) ).
tcf(c_30796,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30793,c_93,c_30400]) ).
tcf(c_30801,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xq),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30794,c_93,c_30400]) ).
tcf(c_30807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30785,c_93,c_30400]) ).
tcf(c_30813,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ doDivides0(X0,sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30795,c_79]) ).
tcf(c_30814,plain,
( ( sdtpldt0(xp,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xq),sdtsldt0(sz00,sdtpldt0(xp,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30795,c_96]) ).
tcf(c_30815,plain,
( ( sdtasdt0(sdtpldt0(xp,xq),sK1(sdtpldt0(xp,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30795,c_82]) ).
tcf(c_30816,plain,
sdtasdt0(sdtpldt0(xp,xq),sK1(sdtpldt0(xp,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_30815,c_93,c_30400]) ).
tcf(c_30817,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30813,c_93,c_30400]) ).
tcf(c_30821,plain,
( ( sdtpldt0(xp,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xq),sdtsldt0(sz00,sdtpldt0(xp,xq))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30814,c_93,c_30400]) ).
tcf(c_30831,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30344,c_143]) ).
tcf(c_30833,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(X0,sdtpldt0(xp,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30344,c_63]) ).
tcf(c_30834,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_30344,c_69]) ).
tcf(c_30835,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_30344,c_61]) ).
tcf(c_30837,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ( sdtpldt0(X0,sdtpldt0(xp,xr)) != sdtpldt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_30344,c_70]) ).
tcf(c_30838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xr))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30344,c_61]) ).
tcf(c_30839,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xr)),sdtpldt0(xp,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30344,c_63]) ).
tcf(c_30840,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_30831,c_93,c_30208]) ).
tcf(c_30841,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,xr)) != sdtpldt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30837,c_93,c_30208]) ).
tcf(c_30845,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30834,c_93,c_30208]) ).
tcf(c_30849,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xr)),sdtpldt0(xp,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30839,c_93,c_30208]) ).
tcf(c_30854,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(X0,sdtpldt0(xp,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30833,c_93,c_30208]) ).
tcf(c_30859,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xr))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30838,c_93,c_30208]) ).
tcf(c_30864,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30835,c_93,c_30208]) ).
tcf(c_30893,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30840,c_99]) ).
tcf(c_30894,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xp,xr),sz00)) = sdtpldt0(xp,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30840,c_104]) ).
tcf(c_30895,plain,
( ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),sz00) ),
inference(superposition,[status(thm)],[c_30840,c_100]) ).
tcf(c_30896,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xp,xr))) = sdtpldt0(xp,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30840,c_66]) ).
tcf(c_30897,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xp,xr))) = sdtpldt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_30896,c_93,c_30208]) ).
tcf(c_30898,plain,
( ( sdtpldt0(xp,xr) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xp,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30895,c_93,c_30208]) ).
tcf(c_30901,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xp,xr),sz00)) = sdtpldt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_30894,c_93,c_30208]) ).
tcf(c_30902,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30893,c_93,c_30208]) ).
tcf(c_30998,plain,
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(xp,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30345,c_143]) ).
tcf(c_31000,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_30345,c_63]) ).
tcf(c_31001,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ( sdtpldt0(sdtpldt0(xp,xr),X0) != sdtpldt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_30345,c_69]) ).
tcf(c_31002,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(sdtpldt0(xp,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30345,c_61]) ).
tcf(c_31004,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_30345,c_70]) ).
tcf(c_31005,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xr),X0),sdtpldt0(xp,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30345,c_61]) ).
tcf(c_31006,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xr))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30345,c_63]) ).
tcf(c_31007,plain,
sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_30998,c_93,c_30208]) ).
tcf(c_31008,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31004,c_93,c_30208]) ).
tcf(c_31012,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,xr),X0) != sdtpldt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31001,c_93,c_30208]) ).
tcf(c_31016,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xr),X0),sdtpldt0(xp,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31005,c_93,c_30208]) ).
tcf(c_31021,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(sdtpldt0(xp,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31002,c_93,c_30208]) ).
tcf(c_31026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xr))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31006,c_93,c_30208]) ).
tcf(c_31031,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31000,c_93,c_30208]) ).
tcf(c_31165,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30474,c_143]) ).
tcf(c_31167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(X0,sdtpldt0(xp,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30474,c_63]) ).
tcf(c_31168,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_30474,c_69]) ).
tcf(c_31169,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),X0) ),
inference(superposition,[status(thm)],[c_30474,c_61]) ).
tcf(c_31171,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ( sdtpldt0(X0,sdtpldt0(xp,xq)) != sdtpldt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_30474,c_70]) ).
tcf(c_31172,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xq))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30474,c_61]) ).
tcf(c_31173,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xq)),sdtpldt0(xp,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30474,c_63]) ).
tcf(c_31174,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_31165,c_93,c_30400]) ).
tcf(c_31175,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,xq)) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31171,c_93,c_30400]) ).
tcf(c_31179,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31168,c_93,c_30400]) ).
tcf(c_31183,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xq)),sdtpldt0(xp,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31173,c_93,c_30400]) ).
tcf(c_31188,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(X0,sdtpldt0(xp,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31167,c_93,c_30400]) ).
tcf(c_31193,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xq))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31172,c_93,c_30400]) ).
tcf(c_31198,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31169,c_93,c_30400]) ).
tcf(c_31263,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_31174,c_99]) ).
tcf(c_31264,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xp,xq),sz00)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_31174,c_104]) ).
tcf(c_31265,plain,
( ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_31174,c_100]) ).
tcf(c_31266,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xp,xq))) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_31174,c_66]) ).
tcf(c_31267,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xp,xq))) = sdtpldt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_31266,c_93,c_30400]) ).
tcf(c_31268,plain,
( ( sdtpldt0(xp,xq) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31265,c_93,c_30400]) ).
tcf(c_31271,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xp,xq),sz00)) = sdtpldt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_31264,c_93,c_30400]) ).
tcf(c_31272,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31263,c_93,c_30400]) ).
tcf(c_31280,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30475,c_143]) ).
tcf(c_31282,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),X0) ),
inference(superposition,[status(thm)],[c_30475,c_63]) ).
tcf(c_31283,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ( sdtpldt0(sdtpldt0(xp,xq),X0) != sdtpldt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_30475,c_69]) ).
tcf(c_31284,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(sdtpldt0(xp,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30475,c_61]) ).
tcf(c_31286,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_30475,c_70]) ).
tcf(c_31287,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xq),X0),sdtpldt0(xp,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30475,c_61]) ).
tcf(c_31288,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xq))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_30475,c_63]) ).
tcf(c_31289,plain,
sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_31280,c_93,c_30400]) ).
tcf(c_31290,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31286,c_93,c_30400]) ).
tcf(c_31294,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,xq),X0) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31283,c_93,c_30400]) ).
tcf(c_31298,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xq),X0),sdtpldt0(xp,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31287,c_93,c_30400]) ).
tcf(c_31303,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(sdtpldt0(xp,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31284,c_93,c_30400]) ).
tcf(c_31308,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xq))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31288,c_93,c_30400]) ).
tcf(c_31313,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31282,c_93,c_30400]) ).
tcf(c_31343,plain,
sdtmndt0(sdtpldt0(xq,xl),xq) = xl,
inference(superposition,[status(thm)],[c_49,c_4942]) ).
tcf(c_31344,plain,
sdtmndt0(sdtpldt0(xq,xm),xq) = xm,
inference(superposition,[status(thm)],[c_50,c_4942]) ).
tcf(c_31345,plain,
sdtmndt0(sdtpldt0(xq,xn),xq) = xn,
inference(superposition,[status(thm)],[c_51,c_4942]) ).
tcf(c_31346,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xq,sdtpldt0(X0,X1)),xq) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_4942]) ).
tcf(c_31347,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xq,sK0(X0,X1)),xq) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_4942]) ).
tcf(c_31348,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xq,sdtasdt0(X0,X1)),xq) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_4942]) ).
tcf(c_31349,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xq,sK1(X0,X1)),xq) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_4942]) ).
tcf(c_31350,plain,
sdtmndt0(sdtpldt0(xq,sz00),xq) = sz00,
inference(superposition,[status(thm)],[c_93,c_4942]) ).
tcf(c_31351,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xq,sdtsldt0(X1,X0)),xq) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_4942]) ).
tcf(c_31352,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xq,sdtmndt0(X1,X0)),xq) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_4942]) ).
tcf(c_31353,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,xm)),xq) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_2931,c_4942]) ).
tcf(c_31354,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,xn)),xq) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_2971,c_4942]) ).
tcf(c_31355,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),xq) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_3010,c_4942]) ).
tcf(c_31356,plain,
sdtmndt0(sdtpldt0(xq,xr),xq) = xr,
inference(superposition,[status(thm)],[c_4939,c_4942]) ).
tcf(c_31357,plain,
sdtmndt0(sdtpldt0(xq,xp),xq) = xp,
inference(superposition,[status(thm)],[c_3837,c_4942]) ).
tcf(c_31358,plain,
sdtmndt0(sdtpldt0(xq,xq),xq) = xq,
inference(superposition,[status(thm)],[c_4938,c_4942]) ).
tcf(c_31359,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xl,xr)),xq) = sdtasdt0(xl,xr),
inference(superposition,[status(thm)],[c_16212,c_4942]) ).
tcf(c_31360,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),xq) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_3373,c_4942]) ).
tcf(c_31361,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,xn)),xq) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_12823,c_4942]) ).
tcf(c_31362,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xq) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_5245,c_4942]) ).
tcf(c_31363,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,xp)),xq) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_7844,c_4942]) ).
tcf(c_31364,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,xq)),xq) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_9733,c_4942]) ).
tcf(c_31365,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,xr)),xq) = sdtpldt0(xl,xr),
inference(superposition,[status(thm)],[c_10141,c_4942]) ).
tcf(c_31366,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,xr)),xq) = sdtpldt0(xm,xr),
inference(superposition,[status(thm)],[c_12990,c_4942]) ).
tcf(c_31367,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,xp)),xq) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_13190,c_4942]) ).
tcf(c_31368,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,xq)),xq) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_13506,c_4942]) ).
tcf(c_31369,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xl,xm)),xq) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_15012,c_4942]) ).
tcf(c_31370,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xn,xr)),xq) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_15397,c_4942]) ).
tcf(c_31371,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xp,xn)),xq) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_15554,c_4942]) ).
tcf(c_31372,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xn,xq)),xq) = sdtpldt0(xn,xq),
inference(superposition,[status(thm)],[c_15747,c_4942]) ).
tcf(c_31373,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xl,xn)),xq) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_16017,c_4942]) ).
tcf(c_31374,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xl,xq)),xq) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_16434,c_4942]) ).
tcf(c_31375,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xm,xn)),xq) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_19471,c_4942]) ).
tcf(c_31376,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xm,xr)),xq) = sdtasdt0(xm,xr),
inference(superposition,[status(thm)],[c_19732,c_4942]) ).
tcf(c_31377,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xm,xp)),xq) = sdtasdt0(xm,xp),
inference(superposition,[status(thm)],[c_19902,c_4942]) ).
tcf(c_31378,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),xq) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_20102,c_4942]) ).
tcf(c_31379,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xm,xq)),xq) = sdtasdt0(xm,xq),
inference(superposition,[status(thm)],[c_20344,c_4942]) ).
tcf(c_31380,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xn,xr)),xq) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_21980,c_4942]) ).
tcf(c_31381,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xp,xn)),xq) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_22540,c_4942]) ).
tcf(c_31382,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xn,xq)),xq) = sdtasdt0(xn,xq),
inference(superposition,[status(thm)],[c_22836,c_4942]) ).
tcf(c_31383,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xp,xr)),xq) = sdtpldt0(xp,xr),
inference(superposition,[status(thm)],[c_30208,c_4942]) ).
tcf(c_31384,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xq) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_30400,c_4942]) ).
tcf(c_31385,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xp,xr)),xq) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_28835,c_4942]) ).
tcf(c_31386,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xq) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_29064,c_4942]) ).
tcf(c_31387,plain,
sdtmndt0(sdtpldt0(xp,xq),xq) = xp,
inference(light_normalisation,[status(thm)],[c_31357,c_30066]) ).
tcf(c_31388,plain,
sdtmndt0(xq,xq) = sz00,
inference(light_normalisation,[status(thm)],[c_31350,c_4949]) ).
tcf(c_31389,plain,
sdtmndt0(sdtpldt0(xn,xq),xq) = xn,
inference(light_normalisation,[status(thm)],[c_31345,c_14617]) ).
tcf(c_31390,plain,
sdtmndt0(sdtpldt0(xm,xq),xq) = xm,
inference(light_normalisation,[status(thm)],[c_31344,c_12775]) ).
tcf(c_31391,plain,
sdtmndt0(sdtpldt0(xl,xq),xq) = xl,
inference(light_normalisation,[status(thm)],[c_31343,c_4944]) ).
tcf(c_31547,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_6214,c_63]) ).
tcf(c_31548,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_6214,c_69]) ).
tcf(c_31549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_6214,c_61]) ).
tcf(c_31551,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_6214,c_70]) ).
tcf(c_31552,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn))
| ( sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_6214,c_61]) ).
tcf(c_31553,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))),sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_6214,c_63]) ).
tcf(c_31554,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31551,c_2971]) ).
tcf(c_31559,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31548,c_2971]) ).
tcf(c_31564,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))),sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31553,c_2971]) ).
tcf(c_31570,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31547,c_2971]) ).
tcf(c_31576,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn))
| ( sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31552,c_2971]) ).
tcf(c_31582,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31549,c_2971]) ).
tcf(c_31600,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xq) = sdtasdt0(xq,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_4943]) ).
tcf(c_31601,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),xq) = sdtasdt0(xq,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_4943]) ).
tcf(c_31602,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xq) = sdtasdt0(xq,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_4943]) ).
tcf(c_31603,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),xq) = sdtasdt0(xq,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_4943]) ).
tcf(c_31605,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),xq) = sdtasdt0(xq,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_4943]) ).
tcf(c_31606,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),xq) = sdtasdt0(xq,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_4943]) ).
tcf(c_31607,plain,
sdtasdt0(sdtpldt0(xl,xm),xq) = sdtasdt0(xq,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2931,c_4943]) ).
tcf(c_31608,plain,
sdtasdt0(sdtpldt0(xl,xn),xq) = sdtasdt0(xq,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2971,c_4943]) ).
tcf(c_31609,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_3010,c_4943]) ).
tcf(c_31610,plain,
sdtasdt0(xq,xr) = sdtasdt0(xr,xq),
inference(superposition,[status(thm)],[c_4939,c_4943]) ).
tcf(c_31613,plain,
sdtasdt0(sdtasdt0(xl,xr),xq) = sdtasdt0(xq,sdtasdt0(xl,xr)),
inference(superposition,[status(thm)],[c_16212,c_4943]) ).
tcf(c_31614,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_3373,c_4943]) ).
tcf(c_31615,plain,
sdtasdt0(sdtpldt0(xm,xn),xq) = sdtasdt0(xq,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12823,c_4943]) ).
tcf(c_31616,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_5245,c_4943]) ).
tcf(c_31617,plain,
sdtasdt0(sdtpldt0(xl,xp),xq) = sdtasdt0(xq,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_7844,c_4943]) ).
tcf(c_31618,plain,
sdtasdt0(sdtpldt0(xl,xq),xq) = sdtasdt0(xq,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_9733,c_4943]) ).
tcf(c_31619,plain,
sdtasdt0(sdtpldt0(xl,xr),xq) = sdtasdt0(xq,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_10141,c_4943]) ).
tcf(c_31620,plain,
sdtasdt0(sdtpldt0(xm,xr),xq) = sdtasdt0(xq,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_12990,c_4943]) ).
tcf(c_31621,plain,
sdtasdt0(sdtpldt0(xm,xp),xq) = sdtasdt0(xq,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_13190,c_4943]) ).
tcf(c_31622,plain,
sdtasdt0(sdtpldt0(xm,xq),xq) = sdtasdt0(xq,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_13506,c_4943]) ).
tcf(c_31623,plain,
sdtasdt0(sdtasdt0(xl,xm),xq) = sdtasdt0(xq,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_15012,c_4943]) ).
tcf(c_31624,plain,
sdtasdt0(sdtpldt0(xn,xr),xq) = sdtasdt0(xq,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_15397,c_4943]) ).
tcf(c_31625,plain,
sdtasdt0(sdtpldt0(xp,xn),xq) = sdtasdt0(xq,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_15554,c_4943]) ).
tcf(c_31626,plain,
sdtasdt0(sdtpldt0(xn,xq),xq) = sdtasdt0(xq,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_15747,c_4943]) ).
tcf(c_31627,plain,
sdtasdt0(sdtasdt0(xl,xn),xq) = sdtasdt0(xq,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_16017,c_4943]) ).
tcf(c_31628,plain,
sdtasdt0(sdtasdt0(xl,xq),xq) = sdtasdt0(xq,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_16434,c_4943]) ).
tcf(c_31629,plain,
sdtasdt0(sdtasdt0(xm,xn),xq) = sdtasdt0(xq,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_19471,c_4943]) ).
tcf(c_31630,plain,
sdtasdt0(sdtasdt0(xm,xr),xq) = sdtasdt0(xq,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_19732,c_4943]) ).
tcf(c_31631,plain,
sdtasdt0(sdtasdt0(xm,xp),xq) = sdtasdt0(xq,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_19902,c_4943]) ).
tcf(c_31632,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_20102,c_4943]) ).
tcf(c_31633,plain,
sdtasdt0(sdtasdt0(xm,xq),xq) = sdtasdt0(xq,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_20344,c_4943]) ).
tcf(c_31634,plain,
sdtasdt0(sdtasdt0(xn,xr),xq) = sdtasdt0(xq,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_21980,c_4943]) ).
tcf(c_31635,plain,
sdtasdt0(sdtasdt0(xp,xn),xq) = sdtasdt0(xq,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_22540,c_4943]) ).
tcf(c_31636,plain,
sdtasdt0(sdtasdt0(xn,xq),xq) = sdtasdt0(xq,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_22836,c_4943]) ).
tcf(c_31637,plain,
sdtasdt0(sdtpldt0(xp,xr),xq) = sdtasdt0(xq,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_30208,c_4943]) ).
tcf(c_31638,plain,
sdtasdt0(sdtpldt0(xp,xq),xq) = sdtasdt0(xq,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_30400,c_4943]) ).
tcf(c_31639,plain,
sdtasdt0(sdtasdt0(xp,xr),xq) = sdtasdt0(xq,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_28835,c_4943]) ).
tcf(c_31640,plain,
sdtasdt0(sdtasdt0(xp,xq),xq) = sdtasdt0(xq,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_29064,c_4943]) ).
tcf(c_31828,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xq) = sdtpldt0(xq,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_4945]) ).
tcf(c_31829,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),xq) = sdtpldt0(xq,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_4945]) ).
tcf(c_31830,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xq) = sdtpldt0(xq,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_4945]) ).
tcf(c_31831,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),xq) = sdtpldt0(xq,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_4945]) ).
tcf(c_31833,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),xq) = sdtpldt0(xq,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_4945]) ).
tcf(c_31834,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),xq) = sdtpldt0(xq,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_4945]) ).
tcf(c_31835,plain,
sdtpldt0(sdtpldt0(xl,xm),xq) = sdtpldt0(xq,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2931,c_4945]) ).
tcf(c_31836,plain,
sdtpldt0(sdtpldt0(xl,xn),xq) = sdtpldt0(xq,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2971,c_4945]) ).
tcf(c_31837,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_3010,c_4945]) ).
tcf(c_31838,plain,
sdtpldt0(xq,xr) = sdtpldt0(xr,xq),
inference(superposition,[status(thm)],[c_4939,c_4945]) ).
tcf(c_31841,plain,
sdtpldt0(sdtasdt0(xl,xr),xq) = sdtpldt0(xq,sdtasdt0(xl,xr)),
inference(superposition,[status(thm)],[c_16212,c_4945]) ).
tcf(c_31842,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_3373,c_4945]) ).
tcf(c_31843,plain,
sdtpldt0(sdtpldt0(xm,xn),xq) = sdtpldt0(xq,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12823,c_4945]) ).
tcf(c_31844,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_5245,c_4945]) ).
tcf(c_31845,plain,
sdtpldt0(sdtpldt0(xl,xp),xq) = sdtpldt0(xq,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_7844,c_4945]) ).
tcf(c_31846,plain,
sdtpldt0(sdtpldt0(xl,xq),xq) = sdtpldt0(xq,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_9733,c_4945]) ).
tcf(c_31847,plain,
sdtpldt0(sdtpldt0(xl,xr),xq) = sdtpldt0(xq,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_10141,c_4945]) ).
tcf(c_31848,plain,
sdtpldt0(sdtpldt0(xm,xr),xq) = sdtpldt0(xq,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_12990,c_4945]) ).
tcf(c_31849,plain,
sdtpldt0(sdtpldt0(xm,xp),xq) = sdtpldt0(xq,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_13190,c_4945]) ).
tcf(c_31850,plain,
sdtpldt0(sdtpldt0(xm,xq),xq) = sdtpldt0(xq,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_13506,c_4945]) ).
tcf(c_31851,plain,
sdtpldt0(sdtasdt0(xl,xm),xq) = sdtpldt0(xq,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_15012,c_4945]) ).
tcf(c_31852,plain,
sdtpldt0(sdtpldt0(xn,xr),xq) = sdtpldt0(xq,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_15397,c_4945]) ).
tcf(c_31853,plain,
sdtpldt0(sdtpldt0(xp,xn),xq) = sdtpldt0(xq,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_15554,c_4945]) ).
tcf(c_31854,plain,
sdtpldt0(sdtpldt0(xn,xq),xq) = sdtpldt0(xq,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_15747,c_4945]) ).
tcf(c_31855,plain,
sdtpldt0(sdtasdt0(xl,xn),xq) = sdtpldt0(xq,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_16017,c_4945]) ).
tcf(c_31856,plain,
sdtpldt0(sdtasdt0(xl,xq),xq) = sdtpldt0(xq,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_16434,c_4945]) ).
tcf(c_31857,plain,
sdtpldt0(sdtasdt0(xm,xn),xq) = sdtpldt0(xq,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_19471,c_4945]) ).
tcf(c_31858,plain,
sdtpldt0(sdtasdt0(xm,xr),xq) = sdtpldt0(xq,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_19732,c_4945]) ).
tcf(c_31859,plain,
sdtpldt0(sdtasdt0(xm,xp),xq) = sdtpldt0(xq,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_19902,c_4945]) ).
tcf(c_31860,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_20102,c_4945]) ).
tcf(c_31861,plain,
sdtpldt0(sdtasdt0(xm,xq),xq) = sdtpldt0(xq,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_20344,c_4945]) ).
tcf(c_31862,plain,
sdtpldt0(sdtasdt0(xn,xr),xq) = sdtpldt0(xq,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_21980,c_4945]) ).
tcf(c_31863,plain,
sdtpldt0(sdtasdt0(xp,xn),xq) = sdtpldt0(xq,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_22540,c_4945]) ).
tcf(c_31864,plain,
sdtpldt0(sdtasdt0(xn,xq),xq) = sdtpldt0(xq,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_22836,c_4945]) ).
tcf(c_31865,plain,
sdtpldt0(sdtpldt0(xp,xr),xq) = sdtpldt0(xq,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_30208,c_4945]) ).
tcf(c_31866,plain,
sdtpldt0(sdtpldt0(xp,xq),xq) = sdtpldt0(xq,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_30400,c_4945]) ).
tcf(c_31867,plain,
sdtpldt0(sdtasdt0(xp,xr),xq) = sdtpldt0(xq,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_28835,c_4945]) ).
tcf(c_31868,plain,
sdtpldt0(sdtasdt0(xp,xq),xq) = sdtpldt0(xq,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_29064,c_4945]) ).
tcf(c_31957,plain,
sdtmndt0(sdtpldt0(xr,xl),xr) = xl,
inference(superposition,[status(thm)],[c_49,c_4996]) ).
tcf(c_31958,plain,
sdtmndt0(sdtpldt0(xr,xm),xr) = xm,
inference(superposition,[status(thm)],[c_50,c_4996]) ).
tcf(c_31959,plain,
sdtmndt0(sdtpldt0(xr,xn),xr) = xn,
inference(superposition,[status(thm)],[c_51,c_4996]) ).
tcf(c_31960,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xr,sdtpldt0(X0,X1)),xr) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_4996]) ).
tcf(c_31961,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xr,sK0(X0,X1)),xr) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_4996]) ).
tcf(c_31962,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xr,sdtasdt0(X0,X1)),xr) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_4996]) ).
tcf(c_31963,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xr,sK1(X0,X1)),xr) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_4996]) ).
tcf(c_31964,plain,
sdtmndt0(sdtpldt0(xr,sz00),xr) = sz00,
inference(superposition,[status(thm)],[c_93,c_4996]) ).
tcf(c_31965,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xr,sdtsldt0(X1,X0)),xr) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_4996]) ).
tcf(c_31966,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xr,sdtmndt0(X1,X0)),xr) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_4996]) ).
tcf(c_31967,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,xm)),xr) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_2931,c_4996]) ).
tcf(c_31968,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,xn)),xr) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_2971,c_4996]) ).
tcf(c_31969,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xl,xm))),xr) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_3010,c_4996]) ).
tcf(c_31970,plain,
sdtmndt0(sdtpldt0(xr,xr),xr) = xr,
inference(superposition,[status(thm)],[c_4939,c_4996]) ).
tcf(c_31971,plain,
sdtmndt0(sdtpldt0(xr,xp),xr) = xp,
inference(superposition,[status(thm)],[c_3837,c_4996]) ).
tcf(c_31972,plain,
sdtmndt0(sdtpldt0(xr,xq),xr) = xq,
inference(superposition,[status(thm)],[c_4938,c_4996]) ).
tcf(c_31973,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xl,xr)),xr) = sdtasdt0(xl,xr),
inference(superposition,[status(thm)],[c_16212,c_4996]) ).
tcf(c_31974,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xl,xn))),xr) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_3373,c_4996]) ).
tcf(c_31975,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,xn)),xr) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_12823,c_4996]) ).
tcf(c_31976,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xr) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_5245,c_4996]) ).
tcf(c_31977,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,xp)),xr) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_7844,c_4996]) ).
tcf(c_31978,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,xq)),xr) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_9733,c_4996]) ).
tcf(c_31979,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,xr)),xr) = sdtpldt0(xl,xr),
inference(superposition,[status(thm)],[c_10141,c_4996]) ).
tcf(c_31980,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,xr)),xr) = sdtpldt0(xm,xr),
inference(superposition,[status(thm)],[c_12990,c_4996]) ).
tcf(c_31981,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,xp)),xr) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_13190,c_4996]) ).
tcf(c_31982,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,xq)),xr) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_13506,c_4996]) ).
tcf(c_31983,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xl,xm)),xr) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_15012,c_4996]) ).
tcf(c_31984,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,xr)),xr) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_15397,c_4996]) ).
tcf(c_31985,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xp,xn)),xr) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_15554,c_4996]) ).
tcf(c_31986,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,xq)),xr) = sdtpldt0(xn,xq),
inference(superposition,[status(thm)],[c_15747,c_4996]) ).
tcf(c_31987,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xl,xn)),xr) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_16017,c_4996]) ).
tcf(c_31988,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xl,xq)),xr) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_16434,c_4996]) ).
tcf(c_31989,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xm,xn)),xr) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_19471,c_4996]) ).
tcf(c_31990,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xm,xr)),xr) = sdtasdt0(xm,xr),
inference(superposition,[status(thm)],[c_19732,c_4996]) ).
tcf(c_31991,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xm,xp)),xr) = sdtasdt0(xm,xp),
inference(superposition,[status(thm)],[c_19902,c_4996]) ).
tcf(c_31992,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),xr) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_20102,c_4996]) ).
tcf(c_31993,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xm,xq)),xr) = sdtasdt0(xm,xq),
inference(superposition,[status(thm)],[c_20344,c_4996]) ).
tcf(c_31994,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xn,xr)),xr) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_21980,c_4996]) ).
tcf(c_31995,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xp,xn)),xr) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_22540,c_4996]) ).
tcf(c_31996,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xn,xq)),xr) = sdtasdt0(xn,xq),
inference(superposition,[status(thm)],[c_22836,c_4996]) ).
tcf(c_31997,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xp,xr)),xr) = sdtpldt0(xp,xr),
inference(superposition,[status(thm)],[c_30208,c_4996]) ).
tcf(c_31998,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xp,xq)),xr) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_30400,c_4996]) ).
tcf(c_31999,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xp,xr)),xr) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_28835,c_4996]) ).
tcf(c_32000,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xp,xq)),xr) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_29064,c_4996]) ).
tcf(c_32001,plain,
sdtmndt0(sdtpldt0(xq,xr),xr) = xq,
inference(light_normalisation,[status(thm)],[c_31972,c_31838]) ).
tcf(c_32002,plain,
sdtmndt0(sdtpldt0(xp,xr),xr) = xp,
inference(light_normalisation,[status(thm)],[c_31971,c_30064]) ).
tcf(c_32003,plain,
sdtmndt0(xr,xr) = sz00,
inference(light_normalisation,[status(thm)],[c_31964,c_5003]) ).
tcf(c_32004,plain,
sdtmndt0(sdtpldt0(xn,xr),xr) = xn,
inference(light_normalisation,[status(thm)],[c_31959,c_14615]) ).
tcf(c_32005,plain,
sdtmndt0(sdtpldt0(xm,xr),xr) = xm,
inference(light_normalisation,[status(thm)],[c_31958,c_12773]) ).
tcf(c_32006,plain,
sdtmndt0(sdtpldt0(xl,xr),xr) = xl,
inference(light_normalisation,[status(thm)],[c_31957,c_4998]) ).
tcf(c_32192,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sdtasdt0(xq,xr))
| ( sz00 = xq )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_31610,c_87]) ).
tcf(c_32193,plain,
( sdtlseqdt0(xr,sdtasdt0(xq,xr))
| ( sz00 = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_31610,c_83]) ).
tcf(c_32194,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xq,xr))
| ( sz00 = xr )
| ( X0 = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_31610,c_85]) ).
tcf(c_32195,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != sdtasdt0(xq,xr) ) ),
inference(superposition,[status(thm)],[c_31610,c_90]) ).
tcf(c_32198,plain,
( ( sz00 = xr )
| ( sz00 = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ( sdtasdt0(xq,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_31610,c_88]) ).
tcf(c_32199,plain,
( doDivides0(xr,sdtasdt0(xq,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_31610,c_140]) ).
tcf(c_32200,plain,
( aNaturalNumber0(sdtasdt0(xq,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_31610,c_107]) ).
tcf(c_32201,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xr),sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_31610,c_87]) ).
tcf(c_32202,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xq,xr) ) ),
inference(superposition,[status(thm)],[c_31610,c_89]) ).
tcf(c_32203,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_31610,c_85]) ).
tcf(c_32204,plain,
aNaturalNumber0(sdtasdt0(xq,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_32200,c_4939,c_4938]) ).
tcf(c_32205,plain,
doDivides0(xr,sdtasdt0(xq,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_32199,c_4939,c_4938]) ).
tcf(c_32206,plain,
( sdtlseqdt0(xr,sdtasdt0(xq,xr))
| ( sz00 = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32193,c_4939,c_4938]) ).
tcf(c_32209,plain,
( ( sz00 = xr )
| ( sz00 = xq )
| ( sdtasdt0(xq,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32198,c_4939,c_4938]) ).
tcf(c_32213,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xq,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32202,c_4939,c_4938]) ).
tcf(c_32218,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != sdtasdt0(xq,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32195,c_4939,c_4938]) ).
tcf(c_32223,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32203,c_4939,c_4938]) ).
tcf(c_32229,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xr),sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32201,c_4939,c_4938]) ).
tcf(c_32235,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xq,xr))
| ( sz00 = xr )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32194,c_4939,c_4938]) ).
tcf(c_32241,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sdtasdt0(xq,xr))
| ( sz00 = xq )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32192,c_4939,c_4938]) ).
tcf(c_32252,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xq,xr)),xr) = sdtasdt0(xq,xr),
inference(superposition,[status(thm)],[c_32204,c_4996]) ).
tcf(c_32253,plain,
sdtpldt0(sdtasdt0(xq,xr),xq) = sdtpldt0(xq,sdtasdt0(xq,xr)),
inference(superposition,[status(thm)],[c_32204,c_4945]) ).
tcf(c_32254,plain,
sdtasdt0(sdtasdt0(xq,xr),xq) = sdtasdt0(xq,sdtasdt0(xq,xr)),
inference(superposition,[status(thm)],[c_32204,c_4943]) ).
tcf(c_32255,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xq,xr)),xq) = sdtasdt0(xq,xr),
inference(superposition,[status(thm)],[c_32204,c_4942]) ).
tcf(c_32256,plain,
sdtpldt0(sdtasdt0(xq,xr),xp) = sdtpldt0(xp,sdtasdt0(xq,xr)),
inference(superposition,[status(thm)],[c_32204,c_4262]) ).
tcf(c_32257,plain,
sdtasdt0(sdtasdt0(xq,xr),xp) = sdtasdt0(xp,sdtasdt0(xq,xr)),
inference(superposition,[status(thm)],[c_32204,c_4260]) ).
tcf(c_32258,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xq,xr)),xp) = sdtasdt0(xq,xr),
inference(superposition,[status(thm)],[c_32204,c_4259]) ).
tcf(c_32259,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xq,xr)),xl) = sdtasdt0(xq,xr),
inference(superposition,[status(thm)],[c_32204,c_4186]) ).
tcf(c_32260,plain,
sdtpldt0(sdtasdt0(xq,xr),sdtmndt0(sdtasdt0(xq,xr),sdtasdt0(xq,xr))) = sdtasdt0(xq,xr),
inference(superposition,[status(thm)],[c_32204,c_4041]) ).
tcf(c_32261,plain,
sdtpldt0(sdtasdt0(xq,xr),sK0(sdtasdt0(xq,xr),sdtasdt0(xq,xr))) = sdtasdt0(xq,xr),
inference(superposition,[status(thm)],[c_32204,c_3458]) ).
tcf(c_32262,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xq,xr)),sz00) = sdtasdt0(xq,xr),
inference(superposition,[status(thm)],[c_32204,c_3195]) ).
tcf(c_32263,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xq,xr)),xn) = sdtasdt0(xq,xr),
inference(superposition,[status(thm)],[c_32204,c_3190]) ).
tcf(c_32264,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xq,xr)),xm) = sdtasdt0(xq,xr),
inference(superposition,[status(thm)],[c_32204,c_3189]) ).
tcf(c_32265,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xq,xr)),xl) = sdtasdt0(xq,xr),
inference(superposition,[status(thm)],[c_32204,c_3188]) ).
tcf(c_32266,plain,
sdtasdt0(sdtasdt0(xq,xr),sz00) = sdtasdt0(sz00,sdtasdt0(xq,xr)),
inference(superposition,[status(thm)],[c_32204,c_3101]) ).
tcf(c_32267,plain,
sdtasdt0(sdtasdt0(xq,xr),xn) = sdtasdt0(xn,sdtasdt0(xq,xr)),
inference(superposition,[status(thm)],[c_32204,c_3096]) ).
tcf(c_32268,plain,
sdtasdt0(sdtasdt0(xq,xr),xm) = sdtasdt0(xm,sdtasdt0(xq,xr)),
inference(superposition,[status(thm)],[c_32204,c_3095]) ).
tcf(c_32269,plain,
sdtasdt0(sdtasdt0(xq,xr),xl) = sdtasdt0(xl,sdtasdt0(xq,xr)),
inference(superposition,[status(thm)],[c_32204,c_3094]) ).
tcf(c_32270,plain,
sdtpldt0(sdtasdt0(xq,xr),sz00) = sdtpldt0(sz00,sdtasdt0(xq,xr)),
inference(superposition,[status(thm)],[c_32204,c_2815]) ).
tcf(c_32271,plain,
sdtpldt0(sdtasdt0(xq,xr),xn) = sdtpldt0(xn,sdtasdt0(xq,xr)),
inference(superposition,[status(thm)],[c_32204,c_2811]) ).
tcf(c_32272,plain,
sdtpldt0(sdtasdt0(xq,xr),xm) = sdtpldt0(xm,sdtasdt0(xq,xr)),
inference(superposition,[status(thm)],[c_32204,c_2810]) ).
tcf(c_32273,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xq,xr),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xq,xr)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32204,c_72]) ).
tcf(c_32274,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xq,xr))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xq,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32204,c_71]) ).
tcf(c_32275,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xq,xr)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xq,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32204,c_105]) ).
tcf(c_32276,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xq,xr)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xq,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32204,c_75]) ).
tcf(c_32277,plain,
! [X0: $i] :
( ( sdtasdt0(xq,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xq,xr),X0),sdtasdt0(xq,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32204,c_153]) ).
tcf(c_32278,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xq,xr),X0),sdtasdt0(xq,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32204,c_146]) ).
tcf(c_32279,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,xr),X0) = sdtasdt0(X0,sdtasdt0(xq,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32204,c_106]) ).
tcf(c_32280,plain,
sdtpldt0(sdtasdt0(xq,xr),xl) = sdtpldt0(xl,sdtasdt0(xq,xr)),
inference(superposition,[status(thm)],[c_32204,c_2809]) ).
tcf(c_32281,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,xr),X0) = sdtpldt0(X0,sdtasdt0(xq,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32204,c_76]) ).
tcf(c_32282,plain,
sdtasdt0(sz00,sdtasdt0(xq,xr)) = sz00,
inference(superposition,[status(thm)],[c_32204,c_92]) ).
tcf(c_32283,plain,
sdtasdt0(sdtasdt0(xq,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_32204,c_91]) ).
tcf(c_32284,plain,
sdtpldt0(sz00,sdtasdt0(xq,xr)) = sdtasdt0(xq,xr),
inference(superposition,[status(thm)],[c_32204,c_74]) ).
tcf(c_32285,plain,
sdtpldt0(sdtasdt0(xq,xr),sz00) = sdtasdt0(xq,xr),
inference(superposition,[status(thm)],[c_32204,c_73]) ).
tcf(c_32390,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xq,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32205,c_79]) ).
tcf(c_32391,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xq,xr),xr)) = sdtasdt0(xq,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32205,c_96]) ).
tcf(c_32392,plain,
( ( sdtasdt0(xr,sK1(xr,sdtasdt0(xq,xr))) = sdtasdt0(xq,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32205,c_82]) ).
tcf(c_32393,plain,
sdtasdt0(xr,sK1(xr,sdtasdt0(xq,xr))) = sdtasdt0(xq,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_32392,c_4939,c_32204]) ).
tcf(c_32394,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xq,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32390,c_4939,c_32204]) ).
tcf(c_32398,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xq,xr),xr)) = sdtasdt0(xq,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32391,c_4939,c_32204]) ).
tcf(c_32423,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ( sdtpldt0(xq,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_31838,c_68]) ).
tcf(c_32424,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ( sdtpldt0(xq,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_31838,c_67]) ).
tcf(c_32425,plain,
( sdtlseqdt0(xr,sdtpldt0(xq,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_31838,c_143]) ).
tcf(c_32426,plain,
( aNaturalNumber0(sdtpldt0(xq,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_31838,c_77]) ).
tcf(c_32427,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xr),sdtpldt0(X0,xq))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_31838,c_63]) ).
tcf(c_32428,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xq,xr) ) ),
inference(superposition,[status(thm)],[c_31838,c_69]) ).
tcf(c_32429,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xr),sdtpldt0(xr,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_31838,c_61]) ).
tcf(c_32430,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xq,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xq) ),
inference(superposition,[status(thm)],[c_31838,c_78]) ).
tcf(c_32431,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != sdtpldt0(xq,xr) ) ),
inference(superposition,[status(thm)],[c_31838,c_70]) ).
tcf(c_32432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xq,xr))
| ( X0 = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_31838,c_61]) ).
tcf(c_32433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sdtpldt0(xq,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_31838,c_63]) ).
tcf(c_32434,plain,
aNaturalNumber0(sdtpldt0(xq,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_32426,c_4939,c_4938]) ).
tcf(c_32435,plain,
sdtlseqdt0(xr,sdtpldt0(xq,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_32425,c_4939,c_4938]) ).
tcf(c_32436,plain,
( ( sz00 = xr )
| ( sdtpldt0(xq,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32424,c_4939,c_4938]) ).
tcf(c_32439,plain,
( ( sz00 = xq )
| ( sdtpldt0(xq,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32423,c_4939,c_4938]) ).
tcf(c_32442,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != sdtpldt0(xq,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32431,c_4939,c_4938]) ).
tcf(c_32446,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xq,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32430,c_4939,c_4938]) ).
tcf(c_32451,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xq,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32428,c_4939,c_4938]) ).
tcf(c_32455,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sdtpldt0(xq,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32433,c_4939,c_4938]) ).
tcf(c_32460,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xq,xr))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32432,c_4939,c_4938]) ).
tcf(c_32465,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xr),sdtpldt0(xr,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32429,c_4939,c_4938]) ).
tcf(c_32470,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xr),sdtpldt0(X0,xq))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32427,c_4939,c_4938]) ).
tcf(c_32480,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xq,xr)),xr) = sdtpldt0(xq,xr),
inference(superposition,[status(thm)],[c_32434,c_4996]) ).
tcf(c_32481,plain,
sdtpldt0(sdtpldt0(xq,xr),xq) = sdtpldt0(xq,sdtpldt0(xq,xr)),
inference(superposition,[status(thm)],[c_32434,c_4945]) ).
tcf(c_32482,plain,
sdtasdt0(sdtpldt0(xq,xr),xq) = sdtasdt0(xq,sdtpldt0(xq,xr)),
inference(superposition,[status(thm)],[c_32434,c_4943]) ).
tcf(c_32483,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xq,xr)),xq) = sdtpldt0(xq,xr),
inference(superposition,[status(thm)],[c_32434,c_4942]) ).
tcf(c_32484,plain,
sdtpldt0(sdtpldt0(xq,xr),xp) = sdtpldt0(xp,sdtpldt0(xq,xr)),
inference(superposition,[status(thm)],[c_32434,c_4262]) ).
tcf(c_32485,plain,
sdtasdt0(sdtpldt0(xq,xr),xp) = sdtasdt0(xp,sdtpldt0(xq,xr)),
inference(superposition,[status(thm)],[c_32434,c_4260]) ).
tcf(c_32486,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xq,xr)),xp) = sdtpldt0(xq,xr),
inference(superposition,[status(thm)],[c_32434,c_4259]) ).
tcf(c_32487,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xq,xr)),xl) = sdtpldt0(xq,xr),
inference(superposition,[status(thm)],[c_32434,c_4186]) ).
tcf(c_32488,plain,
sdtpldt0(sdtpldt0(xq,xr),sdtmndt0(sdtpldt0(xq,xr),sdtpldt0(xq,xr))) = sdtpldt0(xq,xr),
inference(superposition,[status(thm)],[c_32434,c_4041]) ).
tcf(c_32489,plain,
sdtpldt0(sdtpldt0(xq,xr),sK0(sdtpldt0(xq,xr),sdtpldt0(xq,xr))) = sdtpldt0(xq,xr),
inference(superposition,[status(thm)],[c_32434,c_3458]) ).
tcf(c_32490,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xq,xr)),sz00) = sdtpldt0(xq,xr),
inference(superposition,[status(thm)],[c_32434,c_3195]) ).
tcf(c_32491,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xq,xr)),xn) = sdtpldt0(xq,xr),
inference(superposition,[status(thm)],[c_32434,c_3190]) ).
tcf(c_32492,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xq,xr)),xm) = sdtpldt0(xq,xr),
inference(superposition,[status(thm)],[c_32434,c_3189]) ).
tcf(c_32493,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xq,xr)),xl) = sdtpldt0(xq,xr),
inference(superposition,[status(thm)],[c_32434,c_3188]) ).
tcf(c_32494,plain,
sdtasdt0(sdtpldt0(xq,xr),sz00) = sdtasdt0(sz00,sdtpldt0(xq,xr)),
inference(superposition,[status(thm)],[c_32434,c_3101]) ).
tcf(c_32495,plain,
sdtasdt0(sdtpldt0(xq,xr),xn) = sdtasdt0(xn,sdtpldt0(xq,xr)),
inference(superposition,[status(thm)],[c_32434,c_3096]) ).
tcf(c_32496,plain,
sdtasdt0(sdtpldt0(xq,xr),xm) = sdtasdt0(xm,sdtpldt0(xq,xr)),
inference(superposition,[status(thm)],[c_32434,c_3095]) ).
tcf(c_32497,plain,
sdtasdt0(sdtpldt0(xq,xr),xl) = sdtasdt0(xl,sdtpldt0(xq,xr)),
inference(superposition,[status(thm)],[c_32434,c_3094]) ).
tcf(c_32498,plain,
sdtpldt0(sdtpldt0(xq,xr),sz00) = sdtpldt0(sz00,sdtpldt0(xq,xr)),
inference(superposition,[status(thm)],[c_32434,c_2815]) ).
tcf(c_32499,plain,
sdtpldt0(sdtpldt0(xq,xr),xn) = sdtpldt0(xn,sdtpldt0(xq,xr)),
inference(superposition,[status(thm)],[c_32434,c_2811]) ).
tcf(c_32500,plain,
sdtpldt0(sdtpldt0(xq,xr),xm) = sdtpldt0(xm,sdtpldt0(xq,xr)),
inference(superposition,[status(thm)],[c_32434,c_2810]) ).
tcf(c_32501,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xq,xr),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xq,xr)),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32434,c_72]) ).
tcf(c_32502,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xq,xr))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xq,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32434,c_71]) ).
tcf(c_32503,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xq,xr)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xq,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32434,c_105]) ).
tcf(c_32504,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xq,xr)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xq,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32434,c_75]) ).
tcf(c_32505,plain,
! [X0: $i] :
( ( sdtpldt0(xq,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xq,xr),X0),sdtpldt0(xq,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32434,c_153]) ).
tcf(c_32506,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xq,xr),X0),sdtpldt0(xq,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32434,c_146]) ).
tcf(c_32507,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,xr),X0) = sdtasdt0(X0,sdtpldt0(xq,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32434,c_106]) ).
tcf(c_32508,plain,
sdtpldt0(sdtpldt0(xq,xr),xl) = sdtpldt0(xl,sdtpldt0(xq,xr)),
inference(superposition,[status(thm)],[c_32434,c_2809]) ).
tcf(c_32509,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,xr),X0) = sdtpldt0(X0,sdtpldt0(xq,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32434,c_76]) ).
tcf(c_32510,plain,
sdtasdt0(sz00,sdtpldt0(xq,xr)) = sz00,
inference(superposition,[status(thm)],[c_32434,c_92]) ).
tcf(c_32511,plain,
sdtasdt0(sdtpldt0(xq,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_32434,c_91]) ).
tcf(c_32512,plain,
sdtpldt0(sz00,sdtpldt0(xq,xr)) = sdtpldt0(xq,xr),
inference(superposition,[status(thm)],[c_32434,c_74]) ).
tcf(c_32513,plain,
sdtpldt0(sdtpldt0(xq,xr),sz00) = sdtpldt0(xq,xr),
inference(superposition,[status(thm)],[c_32434,c_73]) ).
tcf(c_32677,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32435,c_99]) ).
tcf(c_32678,plain,
( ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xq,xr),xr)) = sdtpldt0(xq,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32435,c_104]) ).
tcf(c_32679,plain,
( ( sdtpldt0(xq,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xq,xr))
| ~ sdtlseqdt0(sdtpldt0(xq,xr),xr) ),
inference(superposition,[status(thm)],[c_32435,c_100]) ).
tcf(c_32680,plain,
( ( sdtpldt0(xr,sK0(xr,sdtpldt0(xq,xr))) = sdtpldt0(xq,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32435,c_66]) ).
tcf(c_32681,plain,
sdtpldt0(xr,sK0(xr,sdtpldt0(xq,xr))) = sdtpldt0(xq,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_32680,c_4939,c_32434]) ).
tcf(c_32682,plain,
( ( sdtpldt0(xq,xr) = xr )
| ~ sdtlseqdt0(sdtpldt0(xq,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32679,c_4939,c_32434]) ).
tcf(c_32686,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32677,c_4939,c_32434]) ).
tcf(c_32695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xr)),sz00)
| ( sz00 = xr )
| ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6302,c_87]) ).
tcf(c_32696,plain,
( sdtlseqdt0(xr,sz00)
| ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6302,c_83]) ).
tcf(c_32697,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6302,c_85]) ).
tcf(c_32698,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ( sdtasdt0(X0,sdtsldt0(sz00,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6302,c_90]) ).
tcf(c_32701,plain,
( ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6302,c_88]) ).
tcf(c_32704,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xr)))
| ( sz00 = xr )
| ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6302,c_87]) ).
tcf(c_32705,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6302,c_89]) ).
tcf(c_32706,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ sdtlseqdt0(sdtsldt0(sz00,xr),X0) ),
inference(superposition,[status(thm)],[c_6302,c_85]) ).
tcf(c_32707,plain,
( ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32701,c_4939]) ).
tcf(c_32712,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32705,c_4939]) ).
tcf(c_32718,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ sdtlseqdt0(sdtsldt0(sz00,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32706,c_4939]) ).
tcf(c_32725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32697,c_4939]) ).
tcf(c_32732,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ( sdtasdt0(X0,sdtsldt0(sz00,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32698,c_4939]) ).
tcf(c_32739,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xr)))
| ( sz00 = xr )
| ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32704,c_4939]) ).
tcf(c_32747,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xr)),sz00)
| ( sz00 = xr )
| ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32695,c_4939]) ).
tcf(c_32759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32282,c_87]) ).
tcf(c_32762,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xr))
| ( sdtasdt0(X0,sdtasdt0(xq,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_32282,c_90]) ).
tcf(c_32768,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xq,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32282,c_87]) ).
tcf(c_32771,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xq,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32762,c_93,c_32204]) ).
tcf(c_32776,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xq,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32768,c_93,c_32204]) ).
tcf(c_32782,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32759,c_93,c_32204]) ).
tcf(c_32790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xq,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32283,c_85]) ).
tcf(c_32795,plain,
( doDivides0(sdtasdt0(xq,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32283,c_140]) ).
tcf(c_32798,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xr))
| ( sdtasdt0(sdtasdt0(xq,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_32283,c_89]) ).
tcf(c_32799,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xq,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32283,c_85]) ).
tcf(c_32800,plain,
doDivides0(sdtasdt0(xq,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_32795,c_93,c_32204]) ).
tcf(c_32801,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xq,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32798,c_93,c_32204]) ).
tcf(c_32806,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xq,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32799,c_93,c_32204]) ).
tcf(c_32812,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xq,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32790,c_93,c_32204]) ).
tcf(c_32818,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xr))
| ~ doDivides0(X0,sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32800,c_79]) ).
tcf(c_32819,plain,
( ( sdtasdt0(xq,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xq,xr),sdtsldt0(sz00,sdtasdt0(xq,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32800,c_96]) ).
tcf(c_32820,plain,
( ( sdtasdt0(sdtasdt0(xq,xr),sK1(sdtasdt0(xq,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32800,c_82]) ).
tcf(c_32821,plain,
sdtasdt0(sdtasdt0(xq,xr),sK1(sdtasdt0(xq,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_32820,c_93,c_32204]) ).
tcf(c_32822,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xq,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32818,c_93,c_32204]) ).
tcf(c_32826,plain,
( ( sdtasdt0(xq,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xq,xr),sdtsldt0(sz00,sdtasdt0(xq,xr))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32819,c_93,c_32204]) ).
tcf(c_32829,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32510,c_87]) ).
tcf(c_32832,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xr))
| ( sdtasdt0(X0,sdtpldt0(xq,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_32510,c_90]) ).
tcf(c_32838,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xq,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32510,c_87]) ).
tcf(c_32841,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xq,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32832,c_93,c_32434]) ).
tcf(c_32846,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xq,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32838,c_93,c_32434]) ).
tcf(c_32852,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32829,c_93,c_32434]) ).
tcf(c_32866,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32511,c_85]) ).
tcf(c_32871,plain,
( doDivides0(sdtpldt0(xq,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32511,c_140]) ).
tcf(c_32874,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xr))
| ( sdtasdt0(sdtpldt0(xq,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_32511,c_89]) ).
tcf(c_32875,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xq,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32511,c_85]) ).
tcf(c_32876,plain,
doDivides0(sdtpldt0(xq,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_32871,c_93,c_32434]) ).
tcf(c_32877,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xq,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32874,c_93,c_32434]) ).
tcf(c_32882,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xq,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32875,c_93,c_32434]) ).
tcf(c_32888,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32866,c_93,c_32434]) ).
tcf(c_32951,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xr))
| ~ doDivides0(X0,sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32876,c_79]) ).
tcf(c_32952,plain,
( ( sdtpldt0(xq,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xq,xr),sdtsldt0(sz00,sdtpldt0(xq,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32876,c_96]) ).
tcf(c_32953,plain,
( ( sdtasdt0(sdtpldt0(xq,xr),sK1(sdtpldt0(xq,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32876,c_82]) ).
tcf(c_32954,plain,
sdtasdt0(sdtpldt0(xq,xr),sK1(sdtpldt0(xq,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_32953,c_93,c_32434]) ).
tcf(c_32955,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xq,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32951,c_93,c_32434]) ).
tcf(c_32959,plain,
( ( sdtpldt0(xq,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xq,xr),sdtsldt0(sz00,sdtpldt0(xq,xr))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32952,c_93,c_32434]) ).
tcf(c_32966,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,xr))
| ( sz00 = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32206,c_99]) ).
tcf(c_32967,plain,
( ( sz00 = xq )
| ( sdtpldt0(xr,sdtmndt0(sdtasdt0(xq,xr),xr)) = sdtasdt0(xq,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32206,c_104]) ).
tcf(c_32968,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xq,xr))
| ~ sdtlseqdt0(sdtasdt0(xq,xr),xr) ),
inference(superposition,[status(thm)],[c_32206,c_100]) ).
tcf(c_32969,plain,
( ( sz00 = xq )
| ( sdtpldt0(xr,sK0(xr,sdtasdt0(xq,xr))) = sdtasdt0(xq,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32206,c_66]) ).
tcf(c_32970,plain,
( ( sz00 = xq )
| ( sdtpldt0(xr,sK0(xr,sdtasdt0(xq,xr))) = sdtasdt0(xq,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32969,c_4939,c_32204]) ).
tcf(c_32973,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,xr) = xr )
| ~ sdtlseqdt0(sdtasdt0(xq,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32968,c_4939,c_32204]) ).
tcf(c_32977,plain,
( ( sz00 = xq )
| ( sdtpldt0(xr,sdtmndt0(sdtasdt0(xq,xr),xr)) = sdtasdt0(xq,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32967,c_4939,c_32204]) ).
tcf(c_32980,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,xr))
| ( sz00 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32966,c_4939,c_32204]) ).
tcf(c_32990,plain,
( sdtlseqdt0(sz00,sdtasdt0(xq,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32284,c_143]) ).
tcf(c_32992,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xr),sdtpldt0(X0,sdtasdt0(xq,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32284,c_63]) ).
tcf(c_32993,plain,
! [X0: $i] :
( ( sdtasdt0(xq,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xr))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xq,xr) ) ),
inference(superposition,[status(thm)],[c_32284,c_69]) ).
tcf(c_32994,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xq,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xr))
| ~ sdtlseqdt0(sdtasdt0(xq,xr),X0) ),
inference(superposition,[status(thm)],[c_32284,c_61]) ).
tcf(c_32996,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xr))
| ( sdtpldt0(X0,sdtasdt0(xq,xr)) != sdtasdt0(xq,xr) ) ),
inference(superposition,[status(thm)],[c_32284,c_70]) ).
tcf(c_32997,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xq,xr))
| ( sdtasdt0(xq,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32284,c_61]) ).
tcf(c_32998,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xq,xr)),sdtasdt0(xq,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32284,c_63]) ).
tcf(c_32999,plain,
sdtlseqdt0(sz00,sdtasdt0(xq,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_32990,c_93,c_32204]) ).
tcf(c_33000,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xq,xr)) != sdtasdt0(xq,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32996,c_93,c_32204]) ).
tcf(c_33004,plain,
! [X0: $i] :
( ( sdtasdt0(xq,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xq,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32993,c_93,c_32204]) ).
tcf(c_33008,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xq,xr)),sdtasdt0(xq,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32998,c_93,c_32204]) ).
tcf(c_33013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xr),sdtpldt0(X0,sdtasdt0(xq,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32992,c_93,c_32204]) ).
tcf(c_33018,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xq,xr))
| ( sdtasdt0(xq,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32997,c_93,c_32204]) ).
tcf(c_33023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xq,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xq,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32994,c_93,c_32204]) ).
tcf(c_33031,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32999,c_99]) ).
tcf(c_33032,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xq,xr),sz00)) = sdtasdt0(xq,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32999,c_104]) ).
tcf(c_33033,plain,
( ( sdtasdt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xr))
| ~ sdtlseqdt0(sdtasdt0(xq,xr),sz00) ),
inference(superposition,[status(thm)],[c_32999,c_100]) ).
tcf(c_33034,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xq,xr))) = sdtasdt0(xq,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32999,c_66]) ).
tcf(c_33035,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xq,xr))) = sdtasdt0(xq,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_33034,c_93,c_32204]) ).
tcf(c_33036,plain,
( ( sdtasdt0(xq,xr) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xq,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33033,c_93,c_32204]) ).
tcf(c_33039,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xq,xr),sz00)) = sdtasdt0(xq,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_33032,c_93,c_32204]) ).
tcf(c_33040,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33031,c_93,c_32204]) ).
tcf(c_33174,plain,
( sdtlseqdt0(sdtasdt0(xq,xr),sdtasdt0(xq,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32285,c_143]) ).
tcf(c_33176,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xq,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xr))
| ~ sdtlseqdt0(sdtasdt0(xq,xr),X0) ),
inference(superposition,[status(thm)],[c_32285,c_63]) ).
tcf(c_33177,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xr))
| ( sdtpldt0(sdtasdt0(xq,xr),X0) != sdtasdt0(xq,xr) ) ),
inference(superposition,[status(thm)],[c_32285,c_69]) ).
tcf(c_33178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xr),sdtpldt0(sdtasdt0(xq,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32285,c_61]) ).
tcf(c_33180,plain,
! [X0: $i] :
( ( sdtasdt0(xq,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xr))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xq,xr) ) ),
inference(superposition,[status(thm)],[c_32285,c_70]) ).
tcf(c_33181,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xq,xr),X0),sdtasdt0(xq,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32285,c_61]) ).
tcf(c_33182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xq,xr))
| ( sdtasdt0(xq,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32285,c_63]) ).
tcf(c_33183,plain,
sdtlseqdt0(sdtasdt0(xq,xr),sdtasdt0(xq,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_33174,c_93,c_32204]) ).
tcf(c_33184,plain,
! [X0: $i] :
( ( sdtasdt0(xq,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xq,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33180,c_93,c_32204]) ).
tcf(c_33188,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xq,xr),X0) != sdtasdt0(xq,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33177,c_93,c_32204]) ).
tcf(c_33192,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xq,xr),X0),sdtasdt0(xq,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33181,c_93,c_32204]) ).
tcf(c_33197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xr),sdtpldt0(sdtasdt0(xq,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33178,c_93,c_32204]) ).
tcf(c_33202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xq,xr))
| ( sdtasdt0(xq,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33182,c_93,c_32204]) ).
tcf(c_33207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xq,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xq,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33176,c_93,c_32204]) ).
tcf(c_33289,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xq)),sz00)
| ( sz00 = xq )
| ( X0 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_6305,c_87]) ).
tcf(c_33290,plain,
( sdtlseqdt0(xq,sz00)
| ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_6305,c_83]) ).
tcf(c_33291,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sz00)
| ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_6305,c_85]) ).
tcf(c_33292,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ( sdtasdt0(X0,sdtsldt0(sz00,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6305,c_90]) ).
tcf(c_33295,plain,
( ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_6305,c_88]) ).
tcf(c_33298,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xq)))
| ( sz00 = xq )
| ( X0 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_6305,c_87]) ).
tcf(c_33299,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6305,c_89]) ).
tcf(c_33300,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ~ sdtlseqdt0(sdtsldt0(sz00,xq),X0) ),
inference(superposition,[status(thm)],[c_6305,c_85]) ).
tcf(c_33301,plain,
( ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33295,c_4938]) ).
tcf(c_33306,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33299,c_4938]) ).
tcf(c_33312,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ~ sdtlseqdt0(sdtsldt0(sz00,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33300,c_4938]) ).
tcf(c_33319,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sz00)
| ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33291,c_4938]) ).
tcf(c_33326,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ( sdtasdt0(X0,sdtsldt0(sz00,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33292,c_4938]) ).
tcf(c_33333,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xq)))
| ( sz00 = xq )
| ( X0 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33298,c_4938]) ).
tcf(c_33341,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xq)),sz00)
| ( sz00 = xq )
| ( X0 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33289,c_4938]) ).
tcf(c_33360,plain,
( sdtlseqdt0(sz00,sdtpldt0(xq,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32512,c_143]) ).
tcf(c_33362,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xr),sdtpldt0(X0,sdtpldt0(xq,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32512,c_63]) ).
tcf(c_33363,plain,
! [X0: $i] :
( ( sdtpldt0(xq,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xr))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xq,xr) ) ),
inference(superposition,[status(thm)],[c_32512,c_69]) ).
tcf(c_33364,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xq,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xr))
| ~ sdtlseqdt0(sdtpldt0(xq,xr),X0) ),
inference(superposition,[status(thm)],[c_32512,c_61]) ).
tcf(c_33366,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xr))
| ( sdtpldt0(X0,sdtpldt0(xq,xr)) != sdtpldt0(xq,xr) ) ),
inference(superposition,[status(thm)],[c_32512,c_70]) ).
tcf(c_33367,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xq,xr))
| ( sdtpldt0(xq,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32512,c_61]) ).
tcf(c_33368,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xq,xr)),sdtpldt0(xq,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32512,c_63]) ).
tcf(c_33369,plain,
sdtlseqdt0(sz00,sdtpldt0(xq,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_33360,c_93,c_32434]) ).
tcf(c_33370,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xq,xr)) != sdtpldt0(xq,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33366,c_93,c_32434]) ).
tcf(c_33374,plain,
! [X0: $i] :
( ( sdtpldt0(xq,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xq,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33363,c_93,c_32434]) ).
tcf(c_33378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xq,xr)),sdtpldt0(xq,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33368,c_93,c_32434]) ).
tcf(c_33383,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xr),sdtpldt0(X0,sdtpldt0(xq,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33362,c_93,c_32434]) ).
tcf(c_33388,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xq,xr))
| ( sdtpldt0(xq,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33367,c_93,c_32434]) ).
tcf(c_33393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xq,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33364,c_93,c_32434]) ).
tcf(c_33401,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_33369,c_99]) ).
tcf(c_33402,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xq,xr),sz00)) = sdtpldt0(xq,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_33369,c_104]) ).
tcf(c_33403,plain,
( ( sdtpldt0(xq,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xr))
| ~ sdtlseqdt0(sdtpldt0(xq,xr),sz00) ),
inference(superposition,[status(thm)],[c_33369,c_100]) ).
tcf(c_33404,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xq,xr))) = sdtpldt0(xq,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_33369,c_66]) ).
tcf(c_33405,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xq,xr))) = sdtpldt0(xq,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_33404,c_93,c_32434]) ).
tcf(c_33406,plain,
( ( sdtpldt0(xq,xr) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xq,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33403,c_93,c_32434]) ).
tcf(c_33409,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xq,xr),sz00)) = sdtpldt0(xq,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_33402,c_93,c_32434]) ).
tcf(c_33410,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33401,c_93,c_32434]) ).
tcf(c_33418,plain,
( sdtlseqdt0(sdtpldt0(xq,xr),sdtpldt0(xq,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32513,c_143]) ).
tcf(c_33420,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xq,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xr))
| ~ sdtlseqdt0(sdtpldt0(xq,xr),X0) ),
inference(superposition,[status(thm)],[c_32513,c_63]) ).
tcf(c_33421,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xr))
| ( sdtpldt0(sdtpldt0(xq,xr),X0) != sdtpldt0(xq,xr) ) ),
inference(superposition,[status(thm)],[c_32513,c_69]) ).
tcf(c_33422,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xr),sdtpldt0(sdtpldt0(xq,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32513,c_61]) ).
tcf(c_33424,plain,
! [X0: $i] :
( ( sdtpldt0(xq,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xr))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xq,xr) ) ),
inference(superposition,[status(thm)],[c_32513,c_70]) ).
tcf(c_33425,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xr),X0),sdtpldt0(xq,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32513,c_61]) ).
tcf(c_33426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xq,xr))
| ( sdtpldt0(xq,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xr)) ),
inference(superposition,[status(thm)],[c_32513,c_63]) ).
tcf(c_33427,plain,
sdtlseqdt0(sdtpldt0(xq,xr),sdtpldt0(xq,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_33418,c_93,c_32434]) ).
tcf(c_33428,plain,
! [X0: $i] :
( ( sdtpldt0(xq,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xq,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33424,c_93,c_32434]) ).
tcf(c_33432,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xq,xr),X0) != sdtpldt0(xq,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33421,c_93,c_32434]) ).
tcf(c_33436,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xr),X0),sdtpldt0(xq,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33425,c_93,c_32434]) ).
tcf(c_33441,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xr),sdtpldt0(sdtpldt0(xq,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33422,c_93,c_32434]) ).
tcf(c_33446,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xq,xr))
| ( sdtpldt0(xq,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33426,c_93,c_32434]) ).
tcf(c_33451,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xq,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33420,c_93,c_32434]) ).
tcf(c_33467,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xr) = sdtasdt0(xr,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_4997]) ).
tcf(c_33468,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),xr) = sdtasdt0(xr,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_4997]) ).
tcf(c_33469,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xr) = sdtasdt0(xr,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_4997]) ).
tcf(c_33470,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),xr) = sdtasdt0(xr,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_4997]) ).
tcf(c_33472,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),xr) = sdtasdt0(xr,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_4997]) ).
tcf(c_33473,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),xr) = sdtasdt0(xr,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_4997]) ).
tcf(c_33474,plain,
sdtasdt0(sdtpldt0(xl,xm),xr) = sdtasdt0(xr,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2931,c_4997]) ).
tcf(c_33475,plain,
sdtasdt0(sdtpldt0(xl,xn),xr) = sdtasdt0(xr,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2971,c_4997]) ).
tcf(c_33476,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xr) = sdtasdt0(xr,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_3010,c_4997]) ).
tcf(c_33480,plain,
sdtasdt0(sdtasdt0(xl,xr),xr) = sdtasdt0(xr,sdtasdt0(xl,xr)),
inference(superposition,[status(thm)],[c_16212,c_4997]) ).
tcf(c_33481,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xr) = sdtasdt0(xr,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_3373,c_4997]) ).
tcf(c_33482,plain,
sdtasdt0(sdtpldt0(xm,xn),xr) = sdtasdt0(xr,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12823,c_4997]) ).
tcf(c_33483,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xr) = sdtasdt0(xr,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_5245,c_4997]) ).
tcf(c_33484,plain,
sdtasdt0(sdtpldt0(xl,xp),xr) = sdtasdt0(xr,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_7844,c_4997]) ).
tcf(c_33485,plain,
sdtasdt0(sdtpldt0(xl,xq),xr) = sdtasdt0(xr,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_9733,c_4997]) ).
tcf(c_33486,plain,
sdtasdt0(sdtpldt0(xl,xr),xr) = sdtasdt0(xr,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_10141,c_4997]) ).
tcf(c_33487,plain,
sdtasdt0(sdtpldt0(xm,xr),xr) = sdtasdt0(xr,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_12990,c_4997]) ).
tcf(c_33488,plain,
sdtasdt0(sdtpldt0(xm,xp),xr) = sdtasdt0(xr,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_13190,c_4997]) ).
tcf(c_33489,plain,
sdtasdt0(sdtpldt0(xm,xq),xr) = sdtasdt0(xr,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_13506,c_4997]) ).
tcf(c_33490,plain,
sdtasdt0(sdtasdt0(xl,xm),xr) = sdtasdt0(xr,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_15012,c_4997]) ).
tcf(c_33491,plain,
sdtasdt0(sdtpldt0(xn,xr),xr) = sdtasdt0(xr,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_15397,c_4997]) ).
tcf(c_33492,plain,
sdtasdt0(sdtpldt0(xp,xn),xr) = sdtasdt0(xr,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_15554,c_4997]) ).
tcf(c_33493,plain,
sdtasdt0(sdtpldt0(xn,xq),xr) = sdtasdt0(xr,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_15747,c_4997]) ).
tcf(c_33494,plain,
sdtasdt0(sdtasdt0(xl,xn),xr) = sdtasdt0(xr,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_16017,c_4997]) ).
tcf(c_33495,plain,
sdtasdt0(sdtasdt0(xl,xq),xr) = sdtasdt0(xr,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_16434,c_4997]) ).
tcf(c_33496,plain,
sdtasdt0(sdtasdt0(xm,xn),xr) = sdtasdt0(xr,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_19471,c_4997]) ).
tcf(c_33497,plain,
sdtasdt0(sdtasdt0(xm,xr),xr) = sdtasdt0(xr,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_19732,c_4997]) ).
tcf(c_33498,plain,
sdtasdt0(sdtasdt0(xm,xp),xr) = sdtasdt0(xr,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_19902,c_4997]) ).
tcf(c_33499,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xr) = sdtasdt0(xr,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_20102,c_4997]) ).
tcf(c_33500,plain,
sdtasdt0(sdtasdt0(xm,xq),xr) = sdtasdt0(xr,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_20344,c_4997]) ).
tcf(c_33501,plain,
sdtasdt0(sdtasdt0(xn,xr),xr) = sdtasdt0(xr,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_21980,c_4997]) ).
tcf(c_33502,plain,
sdtasdt0(sdtasdt0(xp,xn),xr) = sdtasdt0(xr,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_22540,c_4997]) ).
tcf(c_33503,plain,
sdtasdt0(sdtasdt0(xn,xq),xr) = sdtasdt0(xr,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_22836,c_4997]) ).
tcf(c_33504,plain,
sdtasdt0(sdtpldt0(xp,xr),xr) = sdtasdt0(xr,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_30208,c_4997]) ).
tcf(c_33505,plain,
sdtasdt0(sdtpldt0(xp,xq),xr) = sdtasdt0(xr,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_30400,c_4997]) ).
tcf(c_33506,plain,
sdtasdt0(sdtasdt0(xp,xr),xr) = sdtasdt0(xr,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_28835,c_4997]) ).
tcf(c_33507,plain,
sdtasdt0(sdtasdt0(xp,xq),xr) = sdtasdt0(xr,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_29064,c_4997]) ).
tcf(c_33508,plain,
sdtasdt0(sdtpldt0(xq,xr),xr) = sdtasdt0(xr,sdtpldt0(xq,xr)),
inference(superposition,[status(thm)],[c_32434,c_4997]) ).
tcf(c_33509,plain,
sdtasdt0(sdtasdt0(xq,xr),xr) = sdtasdt0(xr,sdtasdt0(xq,xr)),
inference(superposition,[status(thm)],[c_32204,c_4997]) ).
tcf(c_33766,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(xr,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_77,c_4999]) ).
tcf(c_33767,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),xr) = sdtpldt0(xr,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65,c_4999]) ).
tcf(c_33768,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xr) = sdtpldt0(xr,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107,c_4999]) ).
tcf(c_33769,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),xr) = sdtpldt0(xr,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_81,c_4999]) ).
tcf(c_33771,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),xr) = sdtpldt0(xr,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_4999]) ).
tcf(c_33772,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),xr) = sdtpldt0(xr,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_4999]) ).
tcf(c_33773,plain,
sdtpldt0(sdtpldt0(xl,xm),xr) = sdtpldt0(xr,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2931,c_4999]) ).
tcf(c_33774,plain,
sdtpldt0(sdtpldt0(xl,xn),xr) = sdtpldt0(xr,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2971,c_4999]) ).
tcf(c_33775,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xr) = sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_3010,c_4999]) ).
tcf(c_33779,plain,
sdtpldt0(sdtasdt0(xl,xr),xr) = sdtpldt0(xr,sdtasdt0(xl,xr)),
inference(superposition,[status(thm)],[c_16212,c_4999]) ).
tcf(c_33780,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xr) = sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_3373,c_4999]) ).
tcf(c_33781,plain,
sdtpldt0(sdtpldt0(xm,xn),xr) = sdtpldt0(xr,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12823,c_4999]) ).
tcf(c_33782,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xr) = sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_5245,c_4999]) ).
tcf(c_33783,plain,
sdtpldt0(sdtpldt0(xl,xp),xr) = sdtpldt0(xr,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_7844,c_4999]) ).
tcf(c_33784,plain,
sdtpldt0(sdtpldt0(xl,xq),xr) = sdtpldt0(xr,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_9733,c_4999]) ).
tcf(c_33785,plain,
sdtpldt0(sdtpldt0(xl,xr),xr) = sdtpldt0(xr,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_10141,c_4999]) ).
tcf(c_33786,plain,
sdtpldt0(sdtpldt0(xm,xr),xr) = sdtpldt0(xr,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_12990,c_4999]) ).
tcf(c_33787,plain,
sdtpldt0(sdtpldt0(xm,xp),xr) = sdtpldt0(xr,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_13190,c_4999]) ).
tcf(c_33788,plain,
sdtpldt0(sdtpldt0(xm,xq),xr) = sdtpldt0(xr,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_13506,c_4999]) ).
tcf(c_33789,plain,
sdtpldt0(sdtasdt0(xl,xm),xr) = sdtpldt0(xr,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_15012,c_4999]) ).
tcf(c_33790,plain,
sdtpldt0(sdtpldt0(xn,xr),xr) = sdtpldt0(xr,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_15397,c_4999]) ).
tcf(c_33791,plain,
sdtpldt0(sdtpldt0(xp,xn),xr) = sdtpldt0(xr,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_15554,c_4999]) ).
tcf(c_33792,plain,
sdtpldt0(sdtpldt0(xn,xq),xr) = sdtpldt0(xr,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_15747,c_4999]) ).
tcf(c_33793,plain,
sdtpldt0(sdtasdt0(xl,xn),xr) = sdtpldt0(xr,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_16017,c_4999]) ).
tcf(c_33794,plain,
sdtpldt0(sdtasdt0(xl,xq),xr) = sdtpldt0(xr,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_16434,c_4999]) ).
tcf(c_33795,plain,
sdtpldt0(sdtasdt0(xm,xn),xr) = sdtpldt0(xr,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_19471,c_4999]) ).
tcf(c_33796,plain,
sdtpldt0(sdtasdt0(xm,xr),xr) = sdtpldt0(xr,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_19732,c_4999]) ).
tcf(c_33797,plain,
sdtpldt0(sdtasdt0(xm,xp),xr) = sdtpldt0(xr,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_19902,c_4999]) ).
tcf(c_33798,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xr) = sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_20102,c_4999]) ).
tcf(c_33799,plain,
sdtpldt0(sdtasdt0(xm,xq),xr) = sdtpldt0(xr,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_20344,c_4999]) ).
tcf(c_33800,plain,
sdtpldt0(sdtasdt0(xn,xr),xr) = sdtpldt0(xr,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_21980,c_4999]) ).
tcf(c_33801,plain,
sdtpldt0(sdtasdt0(xp,xn),xr) = sdtpldt0(xr,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_22540,c_4999]) ).
tcf(c_33802,plain,
sdtpldt0(sdtasdt0(xn,xq),xr) = sdtpldt0(xr,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_22836,c_4999]) ).
tcf(c_33803,plain,
sdtpldt0(sdtpldt0(xp,xr),xr) = sdtpldt0(xr,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_30208,c_4999]) ).
tcf(c_33804,plain,
sdtpldt0(sdtpldt0(xp,xq),xr) = sdtpldt0(xr,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_30400,c_4999]) ).
tcf(c_33805,plain,
sdtpldt0(sdtasdt0(xp,xr),xr) = sdtpldt0(xr,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_28835,c_4999]) ).
tcf(c_33806,plain,
sdtpldt0(sdtasdt0(xp,xq),xr) = sdtpldt0(xr,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_29064,c_4999]) ).
tcf(c_33807,plain,
sdtpldt0(sdtpldt0(xq,xr),xr) = sdtpldt0(xr,sdtpldt0(xq,xr)),
inference(superposition,[status(thm)],[c_32434,c_4999]) ).
tcf(c_33808,plain,
sdtpldt0(sdtasdt0(xq,xr),xr) = sdtpldt0(xr,sdtasdt0(xq,xr)),
inference(superposition,[status(thm)],[c_32204,c_4999]) ).
tcf(c_33841,plain,
( ( sK1(xl,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,sz00) ),
inference(superposition,[status(thm)],[c_81,c_6247]) ).
tcf(c_33842,plain,
sK1(xl,sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_33841,c_93,c_49,c_2629]) ).
tcf(c_33873,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xp)),sz00)
| ( sz00 = xp )
| ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_6308,c_87]) ).
tcf(c_33874,plain,
( sdtlseqdt0(xp,sz00)
| ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_6308,c_83]) ).
tcf(c_33875,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_6308,c_85]) ).
tcf(c_33876,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( 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_6308,c_90]) ).
tcf(c_33879,plain,
( ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_6308,c_88]) ).
tcf(c_33882,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xp)))
| ( sz00 = xp )
| ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_6308,c_87]) ).
tcf(c_33883,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_6308,c_89]) ).
tcf(c_33884,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_6308,c_85]) ).
tcf(c_33885,plain,
( ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33879,c_3837]) ).
tcf(c_33890,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33883,c_3837]) ).
tcf(c_33896,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sdtsldt0(sz00,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33884,c_3837]) ).
tcf(c_33903,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33875,c_3837]) ).
tcf(c_33910,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( 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_33876,c_3837]) ).
tcf(c_33917,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xp)))
| ( sz00 = xp )
| ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33882,c_3837]) ).
tcf(c_33925,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xp)),sz00)
| ( sz00 = xp )
| ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33873,c_3837]) ).
tcf(c_34290,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xn)),sz00)
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6311,c_87]) ).
tcf(c_34291,plain,
( sdtlseqdt0(xn,sz00)
| ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6311,c_83]) ).
tcf(c_34292,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6311,c_85]) ).
tcf(c_34293,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ( sdtasdt0(X0,sdtsldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6311,c_90]) ).
tcf(c_34296,plain,
( ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6311,c_88]) ).
tcf(c_34299,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xn)))
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6311,c_87]) ).
tcf(c_34300,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6311,c_89]) ).
tcf(c_34301,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ~ sdtlseqdt0(sdtsldt0(sz00,xn),X0) ),
inference(superposition,[status(thm)],[c_6311,c_85]) ).
tcf(c_34302,plain,
( ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34296,c_51]) ).
tcf(c_34307,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34300,c_51]) ).
tcf(c_34313,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ~ sdtlseqdt0(sdtsldt0(sz00,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34301,c_51]) ).
tcf(c_34320,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34292,c_51]) ).
tcf(c_34327,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ( sdtasdt0(X0,sdtsldt0(sz00,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34293,c_51]) ).
tcf(c_34334,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xn)))
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34299,c_51]) ).
tcf(c_34342,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xn)),sz00)
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34290,c_51]) ).
tcf(c_34389,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = xm )
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_17997,c_3960]) ).
tcf(c_34391,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34389,c_2931]) ).
tcf(c_34398,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_34391,c_99]) ).
tcf(c_34399,plain,
( ( sdtpldt0(xl,xm) = xm )
| ( sdtpldt0(xp,sdtmndt0(sdtpldt0(xl,xm),xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_34391,c_104]) ).
tcf(c_34400,plain,
( ( sdtpldt0(xl,xm) = xp )
| ( sdtpldt0(xl,xm) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),xp) ),
inference(superposition,[status(thm)],[c_34391,c_100]) ).
tcf(c_34401,plain,
( ( sdtpldt0(xl,xm) = xm )
| ( sdtpldt0(xp,sK0(xp,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_34391,c_66]) ).
tcf(c_34402,plain,
( ( sdtpldt0(xl,xm) = xm )
| ( sdtpldt0(xp,sK0(xp,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34401,c_3837,c_2931]) ).
tcf(c_34405,plain,
( ( sdtpldt0(xl,xm) = xp )
| ( sdtpldt0(xl,xm) = xm )
| ~ sdtlseqdt0(sdtpldt0(xl,xm),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34400,c_3837,c_2931]) ).
tcf(c_34409,plain,
( ( sdtpldt0(xl,xm) = xm )
| ( sdtpldt0(xp,sdtmndt0(sdtpldt0(xl,xm),xp)) = sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34399,c_3837,c_2931]) ).
tcf(c_34412,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34398,c_3837,c_2931]) ).
tcf(c_34417,plain,
sdtpldt0(xp,xr) = xq,
inference(global_subsumption_just,[status(thm)],[c_4064,c_3837,c_4064,c_4938]) ).
tcf(c_34419,plain,
( ( sz00 = xp )
| ( sz00 != xq ) ),
inference(demodulation,[status(thm)],[c_30213,c_34417]) ).
tcf(c_34420,plain,
( ( sz00 = xr )
| ( sz00 != xq ) ),
inference(demodulation,[status(thm)],[c_30210,c_34417]) ).
tcf(c_34421,plain,
sdtmndt0(xq,xr) = xp,
inference(demodulation,[status(thm)],[c_32002,c_34417]) ).
tcf(c_34429,plain,
sdtlseqdt0(xr,xq),
inference(demodulation,[status(thm)],[c_30209,c_34417]) ).
tcf(c_34431,plain,
sdtpldt0(xr,xp) = xq,
inference(demodulation,[status(thm)],[c_30064,c_34417]) ).
tcf(c_34439,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ( sz00 != xq ) ),
inference(superposition,[status(thm)],[c_34417,c_68]) ).
tcf(c_34440,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ( sz00 != xq ) ),
inference(superposition,[status(thm)],[c_34417,c_67]) ).
tcf(c_34443,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xr))
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_34417,c_63]) ).
tcf(c_34444,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xq ) ),
inference(superposition,[status(thm)],[c_34417,c_69]) ).
tcf(c_34445,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xp,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_34417,c_61]) ).
tcf(c_34446,plain,
! [X0: $i] :
( doDivides0(X0,xq)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_34417,c_78]) ).
tcf(c_34447,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != xq ) ),
inference(superposition,[status(thm)],[c_34417,c_70]) ).
tcf(c_34448,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xq)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_34417,c_61]) ).
tcf(c_34449,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),xq)
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_34417,c_63]) ).
tcf(c_34452,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34447,c_4939,c_3837]) ).
tcf(c_34456,plain,
! [X0: $i] :
( doDivides0(X0,xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34446,c_4939,c_3837]) ).
tcf(c_34461,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34444,c_4939,c_3837]) ).
tcf(c_34465,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),xq)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34449,c_4939,c_3837]) ).
tcf(c_34470,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xq)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34448,c_4939,c_3837]) ).
tcf(c_34475,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xp,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34445,c_4939,c_3837]) ).
tcf(c_34480,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xr))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34443,c_4939,c_3837]) ).
tcf(c_34485,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_34429,c_99]) ).
tcf(c_34486,plain,
( ( sdtpldt0(xr,sdtmndt0(xq,xr)) = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_34429,c_104]) ).
tcf(c_34487,plain,
( ( xq = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,xr) ),
inference(superposition,[status(thm)],[c_34429,c_100]) ).
tcf(c_34488,plain,
( ( sdtpldt0(xr,sK0(xr,xq)) = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_34429,c_66]) ).
tcf(c_34489,plain,
sdtpldt0(xr,sK0(xr,xq)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_34488,c_4939,c_4938]) ).
tcf(c_34490,plain,
( ( xq = xr )
| ~ sdtlseqdt0(xq,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34487,c_4939,c_4938]) ).
tcf(c_34494,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34485,c_4939,c_4938]) ).
tcf(c_34505,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xp))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_34431,c_63]) ).
tcf(c_34506,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xq ) ),
inference(superposition,[status(thm)],[c_34431,c_69]) ).
tcf(c_34507,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xr,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_34431,c_61]) ).
tcf(c_34509,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xq ) ),
inference(superposition,[status(thm)],[c_34431,c_70]) ).
tcf(c_34510,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xq)
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_34431,c_61]) ).
tcf(c_34511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xq)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_34431,c_63]) ).
tcf(c_34512,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34509,c_4939,c_3837]) ).
tcf(c_34516,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34506,c_4939,c_3837]) ).
tcf(c_34520,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xq)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34511,c_4939,c_3837]) ).
tcf(c_34525,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xq)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34510,c_4939,c_3837]) ).
tcf(c_34530,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xr,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34507,c_4939,c_3837]) ).
tcf(c_34535,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xp))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34505,c_4939,c_3837]) ).
tcf(c_34550,plain,
( ( sK0(xr,xq) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK0(xr,xq))
| ( sz00 != xq ) ),
inference(superposition,[status(thm)],[c_34489,c_68]) ).
tcf(c_34551,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK0(xr,xq))
| ( sz00 != xq ) ),
inference(superposition,[status(thm)],[c_34489,c_67]) ).
tcf(c_34554,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK0(xr,xq)))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,xq)) ),
inference(superposition,[status(thm)],[c_34489,c_63]) ).
tcf(c_34555,plain,
! [X0: $i] :
( ( sK0(xr,xq) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xq))
| ( sdtpldt0(xr,X0) != xq ) ),
inference(superposition,[status(thm)],[c_34489,c_69]) ).
tcf(c_34556,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xr,X0))
| ( sK0(xr,xq) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xq))
| ~ sdtlseqdt0(sK0(xr,xq),X0) ),
inference(superposition,[status(thm)],[c_34489,c_61]) ).
tcf(c_34557,plain,
! [X0: $i] :
( doDivides0(X0,xq)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xq))
| ~ doDivides0(X0,sK0(xr,xq)) ),
inference(superposition,[status(thm)],[c_34489,c_78]) ).
tcf(c_34558,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xq))
| ( sdtpldt0(X0,sK0(xr,xq)) != xq ) ),
inference(superposition,[status(thm)],[c_34489,c_70]) ).
tcf(c_34559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xq)
| ( sK0(xr,xq) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xq))
| ~ sdtlseqdt0(X0,sK0(xr,xq)) ),
inference(superposition,[status(thm)],[c_34489,c_61]) ).
tcf(c_34560,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,xq)),xq)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xq)) ),
inference(superposition,[status(thm)],[c_34489,c_63]) ).
tcf(c_34561,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(sK0(xr,xq))
| ( sz00 != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34551,c_4939]) ).
tcf(c_34565,plain,
( ( sK0(xr,xq) = sz00 )
| ~ aNaturalNumber0(sK0(xr,xq))
| ( sz00 != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34550,c_4939]) ).
tcf(c_34569,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xq))
| ( sdtpldt0(X0,sK0(xr,xq)) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34558,c_4939]) ).
tcf(c_34574,plain,
! [X0: $i] :
( doDivides0(X0,xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xq))
| ~ doDivides0(X0,sK0(xr,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34557,c_4939]) ).
tcf(c_34580,plain,
! [X0: $i] :
( ( sK0(xr,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xq))
| ( sdtpldt0(xr,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34555,c_4939]) ).
tcf(c_34585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,xq)),xq)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34560,c_4939]) ).
tcf(c_34591,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK0(xr,xq)))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34554,c_4939]) ).
tcf(c_34597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xq)
| ( sK0(xr,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xq))
| ~ sdtlseqdt0(X0,sK0(xr,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34559,c_4939]) ).
tcf(c_34603,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xr,X0))
| ( sK0(xr,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xq))
| ~ sdtlseqdt0(sK0(xr,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34556,c_4939]) ).
tcf(c_34696,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xm)),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_6314,c_87]) ).
tcf(c_34697,plain,
( sdtlseqdt0(xm,sz00)
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6314,c_83]) ).
tcf(c_34698,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_6314,c_85]) ).
tcf(c_34699,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( 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_6314,c_90]) ).
tcf(c_34702,plain,
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6314,c_88]) ).
tcf(c_34705,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xm)))
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6314,c_87]) ).
tcf(c_34706,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_6314,c_89]) ).
tcf(c_34707,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_6314,c_85]) ).
tcf(c_34708,plain,
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34702,c_50]) ).
tcf(c_34713,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34706,c_50]) ).
tcf(c_34719,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sdtsldt0(sz00,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34707,c_50]) ).
tcf(c_34726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34698,c_50]) ).
tcf(c_34733,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( 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_34699,c_50]) ).
tcf(c_34740,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xm)))
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34705,c_50]) ).
tcf(c_34748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xm)),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_34696,c_50]) ).
tcf(c_34770,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_34494]) ).
tcf(c_34781,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34770,c_4939]) ).
tcf(c_34791,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xq)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_34781,c_99]) ).
tcf(c_34792,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( sdtpldt0(xr,sdtmndt0(X0,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34781,c_104]) ).
tcf(c_34793,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_34781,c_100]) ).
tcf(c_34794,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( sdtpldt0(xr,sK0(xr,X0)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34781,c_66]) ).
tcf(c_34804,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_34781,c_99]) ).
tcf(c_34805,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( sdtpldt0(X0,sdtmndt0(xq,X0)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34781,c_104]) ).
tcf(c_34806,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_34781,c_100]) ).
tcf(c_34807,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( sdtpldt0(X0,sK0(X0,xq)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34781,c_66]) ).
tcf(c_34808,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( sdtpldt0(X0,sK0(X0,xq)) = xq )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34807,c_4938]) ).
tcf(c_34812,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34806,c_4938]) ).
tcf(c_34817,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( sdtpldt0(X0,sdtmndt0(xq,X0)) = xq )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34805,c_4938]) ).
tcf(c_34821,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( sdtpldt0(xr,sK0(xr,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34794,c_4939]) ).
tcf(c_34825,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34793,c_4939]) ).
tcf(c_34830,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( sdtpldt0(xr,sdtmndt0(X0,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34792,c_4939]) ).
tcf(c_34834,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34804,c_4938]) ).
tcf(c_34840,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xq)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34791,c_4939]) ).
tcf(c_34852,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_78,c_4468]) ).
tcf(c_34860,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_78,c_4472]) ).
tcf(c_34868,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4584,c_99]) ).
tcf(c_34869,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xn),X0)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4584,c_104]) ).
tcf(c_34870,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_4584,c_100]) ).
tcf(c_34871,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4584,c_66]) ).
tcf(c_34872,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34871,c_2971]) ).
tcf(c_34876,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34870,c_2971]) ).
tcf(c_34881,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xn),X0)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34869,c_2971]) ).
tcf(c_34885,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34868,c_2971]) ).
tcf(c_34897,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_4588,c_99]) ).
tcf(c_34898,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),X0)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_4588,c_104]) ).
tcf(c_34899,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_4588,c_100]) ).
tcf(c_34900,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_4588,c_66]) ).
tcf(c_34901,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34900,c_2931]) ).
tcf(c_34905,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34899,c_2931]) ).
tcf(c_34910,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),X0)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34898,c_2931]) ).
tcf(c_34914,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34897,c_2931]) ).
tcf(c_34926,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4592,c_99]) ).
tcf(c_34927,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xn),X0)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4592,c_104]) ).
tcf(c_34928,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_4592,c_100]) ).
tcf(c_34929,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4592,c_66]) ).
tcf(c_34930,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34929,c_2971]) ).
tcf(c_34934,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34928,c_2971]) ).
tcf(c_34939,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xn),X0)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34927,c_2971]) ).
tcf(c_34943,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34926,c_2971]) ).
tcf(c_34955,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_4596,c_99]) ).
tcf(c_34956,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),X0)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_4596,c_104]) ).
tcf(c_34957,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_4596,c_100]) ).
tcf(c_34958,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_4596,c_66]) ).
tcf(c_34959,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34958,c_2931]) ).
tcf(c_34963,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34957,c_2931]) ).
tcf(c_34968,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xm),X0)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34956,c_2931]) ).
tcf(c_34972,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34955,c_2931]) ).
tcf(c_34978,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))),sz00)
| ( sdtpldt0(xl,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_6324,c_87]) ).
tcf(c_34979,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_6324,c_83]) ).
tcf(c_34980,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sz00)
| ( sdtpldt0(xl,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_6324,c_85]) ).
tcf(c_34981,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_6324,c_90]) ).
tcf(c_34984,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_6324,c_88]) ).
tcf(c_34987,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_6324,c_87]) ).
tcf(c_34988,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6324,c_89]) ).
tcf(c_34989,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0))
| ( sdtpldt0(xl,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_6324,c_85]) ).
tcf(c_34990,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34979,c_4300,c_2971]) ).
tcf(c_34994,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34988,c_3441,c_2971]) ).
tcf(c_34999,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34981,c_2971]) ).
tcf(c_35005,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34989,c_3441,c_2971]) ).
tcf(c_35011,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34987,c_2971]) ).
tcf(c_35018,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34980,c_3441,c_2971]) ).
tcf(c_35024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))),sz00)
| ( sdtpldt0(xl,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34978,c_2971]) ).
tcf(c_35153,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))),sz00)
| ( sdtpldt0(xl,xm) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_6325,c_87]) ).
tcf(c_35154,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_6325,c_83]) ).
tcf(c_35155,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sz00)
| ( sdtpldt0(xl,xm) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_6325,c_85]) ).
tcf(c_35156,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_6325,c_90]) ).
tcf(c_35159,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_6325,c_88]) ).
tcf(c_35162,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,xm) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_6325,c_87]) ).
tcf(c_35163,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6325,c_89]) ).
tcf(c_35164,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xm),X0))
| ( sdtpldt0(xl,xm) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_6325,c_85]) ).
tcf(c_35165,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35154,c_3956,c_2931]) ).
tcf(c_35169,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35163,c_3442,c_2931]) ).
tcf(c_35174,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35156,c_2931]) ).
tcf(c_35180,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xm),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35164,c_3442,c_2931]) ).
tcf(c_35186,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,xm) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35162,c_2931]) ).
tcf(c_35193,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35155,c_3442,c_2931]) ).
tcf(c_35199,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))),sz00)
| ( sdtpldt0(xl,xm) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35153,c_2931]) ).
tcf(c_35212,plain,
( ( sz00 = xp )
| ( sK0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK0(xl,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_7246,c_68]) ).
tcf(c_35213,plain,
( ( sz00 = xp )
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK0(xl,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_7246,c_67]) ).
tcf(c_35216,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(xl,xm)))
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK0(xl,xm)) ),
inference(superposition,[status(thm)],[c_7246,c_63]) ).
tcf(c_35217,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ( sdtpldt0(xl,X0) != xm ) ),
inference(superposition,[status(thm)],[c_7246,c_69]) ).
tcf(c_35218,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xl,X0))
| ( sz00 = xp )
| ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(sK0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_7246,c_61]) ).
tcf(c_35219,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ( sz00 = xp )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ doDivides0(X0,sK0(xl,xm)) ),
inference(superposition,[status(thm)],[c_7246,c_78]) ).
tcf(c_35220,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ( sdtpldt0(X0,sK0(xl,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_7246,c_70]) ).
tcf(c_35221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xm)
| ( sz00 = xp )
| ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(X0,sK0(xl,xm)) ),
inference(superposition,[status(thm)],[c_7246,c_61]) ).
tcf(c_35222,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xl,xm)),xm)
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK0(xl,xm)) ),
inference(superposition,[status(thm)],[c_7246,c_63]) ).
tcf(c_35223,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(sK0(xl,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35213,c_54,c_49]) ).
tcf(c_35227,plain,
( ( sz00 = xp )
| ( sK0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sK0(xl,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35212,c_49]) ).
tcf(c_35232,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ( sdtpldt0(X0,sK0(xl,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35220,c_49]) ).
tcf(c_35238,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ( sz00 = xp )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ doDivides0(X0,sK0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35219,c_49]) ).
tcf(c_35245,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ( sdtpldt0(xl,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35217,c_49]) ).
tcf(c_35251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xl,xm)),xm)
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35222,c_49]) ).
tcf(c_35258,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(xl,xm)))
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35216,c_49]) ).
tcf(c_35265,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xm)
| ( sz00 = xp )
| ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(X0,sK0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35221,c_49]) ).
tcf(c_35272,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xl,X0))
| ( sz00 = xp )
| ( sK0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,xm))
| ~ sdtlseqdt0(sK0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35218,c_49]) ).
tcf(c_35440,plain,
( ( sz00 = xp )
| ( sdtmndt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtmndt0(xm,xl))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_7253,c_68]) ).
tcf(c_35441,plain,
( ( sz00 = xp )
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtmndt0(xm,xl))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_7253,c_67]) ).
tcf(c_35444,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,xl)))
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_7253,c_63]) ).
tcf(c_35445,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtmndt0(xm,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xl))
| ( sdtpldt0(xl,X0) != xm ) ),
inference(superposition,[status(thm)],[c_7253,c_69]) ).
tcf(c_35446,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xl,X0))
| ( sz00 = xp )
| ( sdtmndt0(xm,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xl))
| ~ sdtlseqdt0(sdtmndt0(xm,xl),X0) ),
inference(superposition,[status(thm)],[c_7253,c_61]) ).
tcf(c_35447,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ( sz00 = xp )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtmndt0(xm,xl))
| ~ doDivides0(X0,sdtmndt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_7253,c_78]) ).
tcf(c_35448,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xl))
| ( sdtpldt0(X0,sdtmndt0(xm,xl)) != xm ) ),
inference(superposition,[status(thm)],[c_7253,c_70]) ).
tcf(c_35449,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xm)
| ( sz00 = xp )
| ( sdtmndt0(xm,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xl))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_7253,c_61]) ).
tcf(c_35450,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,xl)),xm)
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtmndt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_7253,c_63]) ).
tcf(c_35451,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(sdtmndt0(xm,xl))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35441,c_54,c_49]) ).
tcf(c_35455,plain,
( ( sz00 = xp )
| ( sdtmndt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xm,xl))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35440,c_49]) ).
tcf(c_35460,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xl))
| ( sdtpldt0(X0,sdtmndt0(xm,xl)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35448,c_49]) ).
tcf(c_35466,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ( sz00 = xp )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtmndt0(xm,xl))
| ~ doDivides0(X0,sdtmndt0(xm,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35447,c_49]) ).
tcf(c_35473,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtmndt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xl))
| ( sdtpldt0(xl,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35445,c_49]) ).
tcf(c_35479,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,xl)),xm)
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtmndt0(xm,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35450,c_49]) ).
tcf(c_35486,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,xl)))
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35444,c_49]) ).
tcf(c_35493,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xm)
| ( sz00 = xp )
| ( sdtmndt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xl))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35449,c_49]) ).
tcf(c_35500,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xl,X0))
| ( sz00 = xp )
| ( sdtmndt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xl))
| ~ sdtlseqdt0(sdtmndt0(xm,xl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35446,c_49]) ).
tcf(c_35537,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7898,c_68]) ).
tcf(c_35539,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7898,c_143]) ).
tcf(c_35540,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7898,c_77]) ).
tcf(c_35541,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(superposition,[status(thm)],[c_7898,c_63]) ).
tcf(c_35542,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xl,sdtpldt0(xl,xp)) ) ),
inference(superposition,[status(thm)],[c_7898,c_69]) ).
tcf(c_35543,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7898,c_61]) ).
tcf(c_35544,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ doDivides0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7898,c_78]) ).
tcf(c_35545,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_7898,c_70]) ).
tcf(c_35546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7898,c_61]) ).
tcf(c_35547,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_7898,c_63]) ).
tcf(c_35548,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_35540,c_49,c_7844]) ).
tcf(c_35549,plain,
sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_35539,c_49,c_7844]) ).
tcf(c_35550,plain,
sdtpldt0(xl,sdtpldt0(xl,xp)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_35537,c_54,c_49,c_7844]) ).
tcf(c_35551,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35545,c_49,c_7844]) ).
tcf(c_35555,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35544,c_49,c_7844]) ).
tcf(c_35560,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xl,sdtpldt0(xl,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35542,c_49,c_7844]) ).
tcf(c_35564,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35546,c_49,c_7844]) ).
tcf(c_35569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35543,c_49,c_7844]) ).
tcf(c_35574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35547,c_49,c_7844]) ).
tcf(c_35579,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35541,c_49,c_7844]) ).
tcf(c_35610,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xr) = sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_35548,c_4999]) ).
tcf(c_35611,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xr) = sdtasdt0(xr,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_35548,c_4997]) ).
tcf(c_35612,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xl,xp))),xr) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_35548,c_4996]) ).
tcf(c_35613,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_35548,c_4945]) ).
tcf(c_35614,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_35548,c_4943]) ).
tcf(c_35615,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp))),xq) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_35548,c_4942]) ).
tcf(c_35616,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_35548,c_4262]) ).
tcf(c_35617,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_35548,c_4260]) ).
tcf(c_35618,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,xp))),xp) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_35548,c_4259]) ).
tcf(c_35619,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),xl) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_35548,c_4186]) ).
tcf(c_35620,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_35548,c_4041]) ).
tcf(c_35621,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_35548,c_3458]) ).
tcf(c_35622,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_35548,c_3195]) ).
tcf(c_35623,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xp))),xn) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_35548,c_3190]) ).
tcf(c_35624,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),xm) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_35548,c_3189]) ).
tcf(c_35625,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),xl) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_35548,c_3188]) ).
tcf(c_35626,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_35548,c_3101]) ).
tcf(c_35627,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_35548,c_3096]) ).
tcf(c_35628,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_35548,c_3095]) ).
tcf(c_35629,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_35548,c_3094]) ).
tcf(c_35630,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_35548,c_2815]) ).
tcf(c_35631,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_35548,c_2811]) ).
tcf(c_35632,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_35548,c_2810]) ).
tcf(c_35633,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,xp))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35548,c_72]) ).
tcf(c_35634,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35548,c_71]) ).
tcf(c_35635,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,xp))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35548,c_105]) ).
tcf(c_35636,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,xp))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35548,c_75]) ).
tcf(c_35637,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sdtpldt0(xl,sdtpldt0(xl,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35548,c_153]) ).
tcf(c_35638,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sdtpldt0(xl,sdtpldt0(xl,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35548,c_146]) ).
tcf(c_35639,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35548,c_106]) ).
tcf(c_35640,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_35548,c_2809]) ).
tcf(c_35641,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35548,c_76]) ).
tcf(c_35642,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))) = sz00,
inference(superposition,[status(thm)],[c_35548,c_92]) ).
tcf(c_35643,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) = sz00,
inference(superposition,[status(thm)],[c_35548,c_91]) ).
tcf(c_35644,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_35548,c_74]) ).
tcf(c_35645,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_35548,c_73]) ).
tcf(c_35865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sK0(xp,sdtpldt0(xl,xp))))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_9238,c_63]) ).
tcf(c_35866,plain,
! [X0: $i] :
( ( sK0(xp,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xl,xp)))
| ( sdtpldt0(xp,X0) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_9238,c_69]) ).
tcf(c_35867,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xp,X0))
| ( sK0(xp,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK0(xp,sdtpldt0(xl,xp)),X0) ),
inference(superposition,[status(thm)],[c_9238,c_61]) ).
tcf(c_35868,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xl,xp)))
| ~ doDivides0(X0,sK0(xp,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_9238,c_78]) ).
tcf(c_35869,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xl,xp)))
| ( sdtpldt0(X0,sK0(xp,sdtpldt0(xl,xp))) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_9238,c_70]) ).
tcf(c_35870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xl,xp))
| ( sK0(xp,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sK0(xp,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_9238,c_61]) ).
tcf(c_35871,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,sdtpldt0(xl,xp))),sdtpldt0(xl,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_9238,c_63]) ).
tcf(c_35872,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xl,xp)))
| ( sdtpldt0(X0,sK0(xp,sdtpldt0(xl,xp))) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35869,c_3837]) ).
tcf(c_35877,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xl,xp)))
| ~ doDivides0(X0,sK0(xp,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35868,c_3837]) ).
tcf(c_35883,plain,
! [X0: $i] :
( ( sK0(xp,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xl,xp)))
| ( sdtpldt0(xp,X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35866,c_3837]) ).
tcf(c_35888,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,sdtpldt0(xl,xp))),sdtpldt0(xl,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35871,c_3837]) ).
tcf(c_35894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sK0(xp,sdtpldt0(xl,xp))))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35865,c_3837]) ).
tcf(c_35900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xl,xp))
| ( sK0(xp,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sK0(xp,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35870,c_3837]) ).
tcf(c_35906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xp,X0))
| ( sK0(xp,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK0(xp,sdtpldt0(xl,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35867,c_3837]) ).
tcf(c_36228,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_35549,c_99]) ).
tcf(c_36229,plain,
( ( sdtpldt0(sdtpldt0(xl,xp),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,xp))) = sdtpldt0(xl,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_35549,c_104]) ).
tcf(c_36230,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_35549,c_100]) ).
tcf(c_36231,plain,
( ( sdtpldt0(sdtpldt0(xl,xp),sK0(sdtpldt0(xl,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtpldt0(xl,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_35549,c_66]) ).
tcf(c_36232,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36228,c_7844,c_35548]) ).
tcf(c_36236,plain,
sdtpldt0(sdtpldt0(xl,xp),sK0(sdtpldt0(xl,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_36231,c_7844,c_35548]) ).
tcf(c_36237,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sdtpldt0(xl,xp) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36230,c_7844,c_35548]) ).
tcf(c_36240,plain,
sdtpldt0(sdtpldt0(xl,xp),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,xp))) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_36229,c_7844,c_35548]) ).
tcf(c_36242,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_35642,c_87]) ).
tcf(c_36245,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_35642,c_90]) ).
tcf(c_36251,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_35642,c_87]) ).
tcf(c_36254,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36245,c_35550,c_93,c_35548]) ).
tcf(c_36258,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36251,c_35550,c_93,c_35548]) ).
tcf(c_36263,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36242,c_35550,c_93,c_35548]) ).
tcf(c_36270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_35643,c_85]) ).
tcf(c_36275,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_35643,c_140]) ).
tcf(c_36278,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_35643,c_89]) ).
tcf(c_36279,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_35643,c_85]) ).
tcf(c_36280,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_36275,c_93,c_35548]) ).
tcf(c_36281,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36278,c_35550,c_93,c_35548]) ).
tcf(c_36285,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36279,c_35550,c_93,c_35548]) ).
tcf(c_36290,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36270,c_35550,c_93,c_35548]) ).
tcf(c_36295,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_36280,c_79]) ).
tcf(c_36296,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_36280,c_96]) ).
tcf(c_36297,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK1(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_36280,c_82]) ).
tcf(c_36298,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36295,c_93,c_35548]) ).
tcf(c_36302,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK1(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_36297,c_93,c_35548]) ).
tcf(c_36303,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_36296,c_35550,c_93,c_35548]) ).
tcf(c_36318,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_9243,c_99]) ).
tcf(c_36319,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xp),X0)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_9243,c_104]) ).
tcf(c_36320,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(superposition,[status(thm)],[c_9243,c_100]) ).
tcf(c_36321,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_9243,c_66]) ).
tcf(c_36322,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36321,c_7844]) ).
tcf(c_36326,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36320,c_7844]) ).
tcf(c_36331,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xp),X0)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36319,c_7844]) ).
tcf(c_36335,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36318,c_7844]) ).
tcf(c_36343,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9824,c_68]) ).
tcf(c_36345,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9824,c_143]) ).
tcf(c_36346,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9824,c_77]) ).
tcf(c_36347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_9824,c_63]) ).
tcf(c_36348,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xl,sdtpldt0(xl,xq)) ) ),
inference(superposition,[status(thm)],[c_9824,c_69]) ).
tcf(c_36349,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9824,c_61]) ).
tcf(c_36350,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ doDivides0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9824,c_78]) ).
tcf(c_36351,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_9824,c_70]) ).
tcf(c_36352,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9824,c_61]) ).
tcf(c_36353,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9824,c_63]) ).
tcf(c_36354,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_36346,c_49,c_9733]) ).
tcf(c_36355,plain,
sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_36345,c_49,c_9733]) ).
tcf(c_36356,plain,
sdtpldt0(xl,sdtpldt0(xl,xq)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_36343,c_54,c_49,c_9733]) ).
tcf(c_36357,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36351,c_49,c_9733]) ).
tcf(c_36361,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36350,c_49,c_9733]) ).
tcf(c_36366,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xl,sdtpldt0(xl,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36348,c_49,c_9733]) ).
tcf(c_36370,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36352,c_49,c_9733]) ).
tcf(c_36375,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36349,c_49,c_9733]) ).
tcf(c_36380,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36353,c_49,c_9733]) ).
tcf(c_36385,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36347,c_49,c_9733]) ).
tcf(c_36395,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xr) = sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_36354,c_4999]) ).
tcf(c_36396,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xr) = sdtasdt0(xr,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_36354,c_4997]) ).
tcf(c_36397,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xl,xq))),xr) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_36354,c_4996]) ).
tcf(c_36398,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_36354,c_4945]) ).
tcf(c_36399,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_36354,c_4943]) ).
tcf(c_36400,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xq))),xq) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_36354,c_4942]) ).
tcf(c_36401,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_36354,c_4262]) ).
tcf(c_36402,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_36354,c_4260]) ).
tcf(c_36403,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,xq))),xp) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_36354,c_4259]) ).
tcf(c_36404,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),xl) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_36354,c_4186]) ).
tcf(c_36405,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_36354,c_4041]) ).
tcf(c_36406,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_36354,c_3458]) ).
tcf(c_36407,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_36354,c_3195]) ).
tcf(c_36408,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xq))),xn) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_36354,c_3190]) ).
tcf(c_36409,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),xm) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_36354,c_3189]) ).
tcf(c_36410,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),xl) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_36354,c_3188]) ).
tcf(c_36411,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_36354,c_3101]) ).
tcf(c_36412,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_36354,c_3096]) ).
tcf(c_36413,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_36354,c_3095]) ).
tcf(c_36414,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_36354,c_3094]) ).
tcf(c_36415,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_36354,c_2815]) ).
tcf(c_36416,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_36354,c_2811]) ).
tcf(c_36417,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_36354,c_2810]) ).
tcf(c_36418,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,xq))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36354,c_72]) ).
tcf(c_36419,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36354,c_71]) ).
tcf(c_36420,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,xq))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36354,c_105]) ).
tcf(c_36421,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,xq))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36354,c_75]) ).
tcf(c_36422,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0),sdtpldt0(xl,sdtpldt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36354,c_153]) ).
tcf(c_36423,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0),sdtpldt0(xl,sdtpldt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36354,c_146]) ).
tcf(c_36424,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36354,c_106]) ).
tcf(c_36425,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_36354,c_2809]) ).
tcf(c_36426,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36354,c_76]) ).
tcf(c_36427,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq))) = sz00,
inference(superposition,[status(thm)],[c_36354,c_92]) ).
tcf(c_36428,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_36354,c_91]) ).
tcf(c_36429,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq))) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_36354,c_74]) ).
tcf(c_36430,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_36354,c_73]) ).
tcf(c_36524,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_36355,c_99]) ).
tcf(c_36525,plain,
( ( sdtpldt0(sdtpldt0(xl,xq),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xl,xq))) = sdtpldt0(xl,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_36355,c_104]) ).
tcf(c_36526,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_36355,c_100]) ).
tcf(c_36527,plain,
( ( sdtpldt0(sdtpldt0(xl,xq),sK0(sdtpldt0(xl,xq),sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtpldt0(xl,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_36355,c_66]) ).
tcf(c_36528,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36524,c_9733,c_36354]) ).
tcf(c_36532,plain,
sdtpldt0(sdtpldt0(xl,xq),sK0(sdtpldt0(xl,xq),sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_36527,c_9733,c_36354]) ).
tcf(c_36533,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sdtpldt0(xl,xq) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36526,c_9733,c_36354]) ).
tcf(c_36536,plain,
sdtpldt0(sdtpldt0(xl,xq),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xl,xq))) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_36525,c_9733,c_36354]) ).
tcf(c_36538,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_36427,c_87]) ).
tcf(c_36541,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36427,c_90]) ).
tcf(c_36547,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_36427,c_87]) ).
tcf(c_36550,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36541,c_36356,c_93,c_36354]) ).
tcf(c_36554,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36547,c_36356,c_93,c_36354]) ).
tcf(c_36559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36538,c_36356,c_93,c_36354]) ).
tcf(c_36566,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_36428,c_85]) ).
tcf(c_36571,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_36428,c_140]) ).
tcf(c_36574,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_36428,c_89]) ).
tcf(c_36575,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_36428,c_85]) ).
tcf(c_36576,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_36571,c_93,c_36354]) ).
tcf(c_36577,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36574,c_36356,c_93,c_36354]) ).
tcf(c_36581,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36575,c_36356,c_93,c_36354]) ).
tcf(c_36586,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36566,c_36356,c_93,c_36354]) ).
tcf(c_36591,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_36576,c_79]) ).
tcf(c_36592,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_36576,c_96]) ).
tcf(c_36593,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK1(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_36576,c_82]) ).
tcf(c_36594,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36591,c_93,c_36354]) ).
tcf(c_36598,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK1(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_36593,c_93,c_36354]) ).
tcf(c_36599,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_36592,c_36356,c_93,c_36354]) ).
tcf(c_36606,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sK0(xq,sdtpldt0(xl,xq))))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_9863,c_63]) ).
tcf(c_36607,plain,
! [X0: $i] :
( ( sK0(xq,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xl,xq)))
| ( sdtpldt0(xq,X0) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_9863,c_69]) ).
tcf(c_36608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xq,X0))
| ( sK0(xq,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK0(xq,sdtpldt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_9863,c_61]) ).
tcf(c_36609,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xl,xq)))
| ~ doDivides0(X0,sK0(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_9863,c_78]) ).
tcf(c_36610,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xl,xq)))
| ( sdtpldt0(X0,sK0(xq,sdtpldt0(xl,xq))) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_9863,c_70]) ).
tcf(c_36611,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xl,xq))
| ( sK0(xq,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK0(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_9863,c_61]) ).
tcf(c_36612,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xq,sdtpldt0(xl,xq))),sdtpldt0(xl,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_9863,c_63]) ).
tcf(c_36613,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xl,xq)))
| ( sdtpldt0(X0,sK0(xq,sdtpldt0(xl,xq))) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36610,c_4938]) ).
tcf(c_36618,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xl,xq)))
| ~ doDivides0(X0,sK0(xq,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36609,c_4938]) ).
tcf(c_36624,plain,
! [X0: $i] :
( ( sK0(xq,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xl,xq)))
| ( sdtpldt0(xq,X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36607,c_4938]) ).
tcf(c_36629,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xq,sdtpldt0(xl,xq))),sdtpldt0(xl,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36612,c_4938]) ).
tcf(c_36635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sK0(xq,sdtpldt0(xl,xq))))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36606,c_4938]) ).
tcf(c_36641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xl,xq))
| ( sK0(xq,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK0(xq,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36611,c_4938]) ).
tcf(c_36647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xq,X0))
| ( sK0(xq,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK0(xq,sdtpldt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36608,c_4938]) ).
tcf(c_36757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(superposition,[status(thm)],[c_9255,c_87]) ).
tcf(c_36758,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(superposition,[status(thm)],[c_9255,c_83]) ).
tcf(c_36759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(superposition,[status(thm)],[c_9255,c_85]) ).
tcf(c_36760,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9255,c_90]) ).
tcf(c_36763,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(superposition,[status(thm)],[c_9255,c_88]) ).
tcf(c_36766,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(superposition,[status(thm)],[c_9255,c_87]) ).
tcf(c_36767,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9255,c_89]) ).
tcf(c_36768,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00),X0) ),
inference(superposition,[status(thm)],[c_9255,c_85]) ).
tcf(c_36773,plain,
( ( sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36763,c_3444,c_3010]) ).
tcf(c_36776,plain,
! [X0: $i] :
( ( sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36767,c_3444,c_3010]) ).
tcf(c_36781,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36760,c_3010]) ).
tcf(c_36787,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36768,c_3444,c_3010]) ).
tcf(c_36793,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36766,c_3010]) ).
tcf(c_36800,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00)
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36759,c_3444,c_3010]) ).
tcf(c_36806,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36757,c_3010]) ).
tcf(c_36819,plain,
( sdtlseqdt0(xr,sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = xq )
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_34781,c_9864]) ).
tcf(c_36821,plain,
( sdtlseqdt0(xr,sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36819,c_9733]) ).
tcf(c_36831,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9868,c_99]) ).
tcf(c_36832,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xq),X0)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9868,c_104]) ).
tcf(c_36833,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_9868,c_100]) ).
tcf(c_36834,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_9868,c_66]) ).
tcf(c_36835,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36834,c_9733]) ).
tcf(c_36839,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36833,c_9733]) ).
tcf(c_36844,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xq),X0)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36832,c_9733]) ).
tcf(c_36848,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36831,c_9733]) ).
tcf(c_36860,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(X0,sK0(xr,sdtpldt0(xl,xr))))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_10286,c_63]) ).
tcf(c_36861,plain,
! [X0: $i] :
( ( sK0(xr,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xl,xr)))
| ( sdtpldt0(xr,X0) != sdtpldt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_10286,c_69]) ).
tcf(c_36862,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(xr,X0))
| ( sK0(xr,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(sK0(xr,sdtpldt0(xl,xr)),X0) ),
inference(superposition,[status(thm)],[c_10286,c_61]) ).
tcf(c_36863,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xl,xr)))
| ~ doDivides0(X0,sK0(xr,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_10286,c_78]) ).
tcf(c_36864,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xl,xr)))
| ( sdtpldt0(X0,sK0(xr,sdtpldt0(xl,xr))) != sdtpldt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_10286,c_70]) ).
tcf(c_36865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xl,xr))
| ( sK0(xr,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(X0,sK0(xr,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_10286,c_61]) ).
tcf(c_36866,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,sdtpldt0(xl,xr))),sdtpldt0(xl,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_10286,c_63]) ).
tcf(c_36867,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xl,xr)))
| ( sdtpldt0(X0,sK0(xr,sdtpldt0(xl,xr))) != sdtpldt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36864,c_4939]) ).
tcf(c_36872,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xl,xr)))
| ~ doDivides0(X0,sK0(xr,sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36863,c_4939]) ).
tcf(c_36878,plain,
! [X0: $i] :
( ( sK0(xr,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xl,xr)))
| ( sdtpldt0(xr,X0) != sdtpldt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36861,c_4939]) ).
tcf(c_36883,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,sdtpldt0(xl,xr))),sdtpldt0(xl,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36866,c_4939]) ).
tcf(c_36889,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(X0,sK0(xr,sdtpldt0(xl,xr))))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36860,c_4939]) ).
tcf(c_36895,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xl,xr))
| ( sK0(xr,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(X0,sK0(xr,sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36865,c_4939]) ).
tcf(c_36901,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(xr,X0))
| ( sK0(xr,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(sK0(xr,sdtpldt0(xl,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36862,c_4939]) ).
tcf(c_36917,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_36821,c_99]) ).
tcf(c_36918,plain,
( ( sdtpldt0(xl,xq) = xq )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xl,xq),xr)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_36821,c_104]) ).
tcf(c_36919,plain,
( ( sdtpldt0(xl,xq) = xr )
| ( sdtpldt0(xl,xq) = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),xr) ),
inference(superposition,[status(thm)],[c_36821,c_100]) ).
tcf(c_36920,plain,
( ( sdtpldt0(xl,xq) = xq )
| ( sdtpldt0(xr,sK0(xr,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_36821,c_66]) ).
tcf(c_36921,plain,
( ( sdtpldt0(xl,xq) = xq )
| ( sdtpldt0(xr,sK0(xr,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36920,c_4939,c_9733]) ).
tcf(c_36924,plain,
( ( sdtpldt0(xl,xq) = xr )
| ( sdtpldt0(xl,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xl,xq),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36919,c_4939,c_9733]) ).
tcf(c_36928,plain,
( ( sdtpldt0(xl,xq) = xq )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xl,xq),xr)) = sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36918,c_4939,c_9733]) ).
tcf(c_36931,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36917,c_4939,c_9733]) ).
tcf(c_36938,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtpldt0(xl,sdtpldt0(xl,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10192,c_68]) ).
tcf(c_36940,plain,
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(xl,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10192,c_143]) ).
tcf(c_36941,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10192,c_77]) ).
tcf(c_36942,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0) ),
inference(superposition,[status(thm)],[c_10192,c_63]) ).
tcf(c_36943,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtpldt0(sdtpldt0(xl,xr),X0) != sdtpldt0(xl,sdtpldt0(xl,xr)) ) ),
inference(superposition,[status(thm)],[c_10192,c_69]) ).
tcf(c_36944,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sdtpldt0(sdtpldt0(xl,xr),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10192,c_61]) ).
tcf(c_36945,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ doDivides0(X0,sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10192,c_78]) ).
tcf(c_36946,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtpldt0(xl,sdtpldt0(xl,xr)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_10192,c_70]) ).
tcf(c_36947,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xr),X0),sdtpldt0(xl,sdtpldt0(xl,xr)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10192,c_61]) ).
tcf(c_36948,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xr)))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10192,c_63]) ).
tcf(c_36949,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_36941,c_49,c_10141]) ).
tcf(c_36950,plain,
sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(xl,sdtpldt0(xl,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_36940,c_49,c_10141]) ).
tcf(c_36951,plain,
sdtpldt0(xl,sdtpldt0(xl,xr)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_36938,c_54,c_49,c_10141]) ).
tcf(c_36952,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xr)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36946,c_49,c_10141]) ).
tcf(c_36956,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36945,c_49,c_10141]) ).
tcf(c_36961,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xr),X0) != sdtpldt0(xl,sdtpldt0(xl,xr)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36943,c_49,c_10141]) ).
tcf(c_36965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xr),X0),sdtpldt0(xl,sdtpldt0(xl,xr)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36947,c_49,c_10141]) ).
tcf(c_36970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sdtpldt0(sdtpldt0(xl,xr),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36944,c_49,c_10141]) ).
tcf(c_36975,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xr)))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36948,c_49,c_10141]) ).
tcf(c_36980,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36942,c_49,c_10141]) ).
tcf(c_37030,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xr)),xr) = sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_36949,c_4999]) ).
tcf(c_37031,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),xr) = sdtasdt0(xr,sdtpldt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_36949,c_4997]) ).
tcf(c_37032,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xl,xr))),xr) = sdtpldt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_36949,c_4996]) ).
tcf(c_37033,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xr)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_36949,c_4945]) ).
tcf(c_37034,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_36949,c_4943]) ).
tcf(c_37035,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xr))),xq) = sdtpldt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_36949,c_4942]) ).
tcf(c_37036,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xr)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_36949,c_4262]) ).
tcf(c_37037,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_36949,c_4260]) ).
tcf(c_37038,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,xr))),xp) = sdtpldt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_36949,c_4259]) ).
tcf(c_37039,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xr))),xl) = sdtpldt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_36949,c_4186]) ).
tcf(c_37040,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sdtpldt0(xl,sdtpldt0(xl,xr)))) = sdtpldt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_36949,c_4041]) ).
tcf(c_37041,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sK0(sdtpldt0(xl,sdtpldt0(xl,xr)),sdtpldt0(xl,sdtpldt0(xl,xr)))) = sdtpldt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_36949,c_3458]) ).
tcf(c_37042,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xr))),sz00) = sdtpldt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_36949,c_3195]) ).
tcf(c_37043,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xr))),xn) = sdtpldt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_36949,c_3190]) ).
tcf(c_37044,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xr))),xm) = sdtpldt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_36949,c_3189]) ).
tcf(c_37045,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xr))),xl) = sdtpldt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_36949,c_3188]) ).
tcf(c_37046,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_36949,c_3101]) ).
tcf(c_37047,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_36949,c_3096]) ).
tcf(c_37048,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_36949,c_3095]) ).
tcf(c_37049,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_36949,c_3094]) ).
tcf(c_37050,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_36949,c_2815]) ).
tcf(c_37051,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xr)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_36949,c_2811]) ).
tcf(c_37052,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xr)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_36949,c_2810]) ).
tcf(c_37053,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,xr))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36949,c_72]) ).
tcf(c_37054,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xr)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36949,c_71]) ).
tcf(c_37055,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,xr))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36949,c_105]) ).
tcf(c_37056,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,xr))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36949,c_75]) ).
tcf(c_37057,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xr)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),X0),sdtpldt0(xl,sdtpldt0(xl,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36949,c_153]) ).
tcf(c_37058,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xr)),X0),sdtpldt0(xl,sdtpldt0(xl,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36949,c_146]) ).
tcf(c_37059,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36949,c_106]) ).
tcf(c_37060,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xr)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_36949,c_2809]) ).
tcf(c_37061,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xr)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36949,c_76]) ).
tcf(c_37062,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xr))) = sz00,
inference(superposition,[status(thm)],[c_36949,c_92]) ).
tcf(c_37063,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sz00) = sz00,
inference(superposition,[status(thm)],[c_36949,c_91]) ).
tcf(c_37064,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xr))) = sdtpldt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_36949,c_74]) ).
tcf(c_37065,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_36949,c_73]) ).
tcf(c_37238,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_36950,c_99]) ).
tcf(c_37239,plain,
( ( sdtpldt0(sdtpldt0(xl,xr),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sdtpldt0(xl,xr))) = sdtpldt0(xl,sdtpldt0(xl,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_36950,c_104]) ).
tcf(c_37240,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xr)) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_36950,c_100]) ).
tcf(c_37241,plain,
( ( sdtpldt0(sdtpldt0(xl,xr),sK0(sdtpldt0(xl,xr),sdtpldt0(xl,sdtpldt0(xl,xr)))) = sdtpldt0(xl,sdtpldt0(xl,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_36950,c_66]) ).
tcf(c_37242,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37238,c_10141,c_36949]) ).
tcf(c_37246,plain,
sdtpldt0(sdtpldt0(xl,xr),sK0(sdtpldt0(xl,xr),sdtpldt0(xl,sdtpldt0(xl,xr)))) = sdtpldt0(xl,sdtpldt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_37241,c_10141,c_36949]) ).
tcf(c_37247,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xr)) = sdtpldt0(xl,xr) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37240,c_10141,c_36949]) ).
tcf(c_37250,plain,
sdtpldt0(sdtpldt0(xl,xr),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sdtpldt0(xl,xr))) = sdtpldt0(xl,sdtpldt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_37239,c_10141,c_36949]) ).
tcf(c_37252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xr))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_37062,c_87]) ).
tcf(c_37255,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xr)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_37062,c_90]) ).
tcf(c_37261,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xr))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_37062,c_87]) ).
tcf(c_37264,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37255,c_36951,c_93,c_36949]) ).
tcf(c_37268,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xr))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37261,c_36951,c_93,c_36949]) ).
tcf(c_37273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xr))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37252,c_36951,c_93,c_36949]) ).
tcf(c_37331,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_37063,c_85]) ).
tcf(c_37336,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xr)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_37063,c_140]) ).
tcf(c_37339,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xr)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_37063,c_89]) ).
tcf(c_37340,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_37063,c_85]) ).
tcf(c_37341,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xl,xr)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_37336,c_93,c_36949]) ).
tcf(c_37342,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37339,c_36951,c_93,c_36949]) ).
tcf(c_37346,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37340,c_36951,c_93,c_36949]) ).
tcf(c_37351,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37331,c_36951,c_93,c_36949]) ).
tcf(c_37356,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xr)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_37341,c_79]) ).
tcf(c_37357,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xr)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xr)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_37341,c_96]) ).
tcf(c_37358,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sK1(sdtpldt0(xl,sdtpldt0(xl,xr)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_37341,c_82]) ).
tcf(c_37359,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37356,c_93,c_36949]) ).
tcf(c_37363,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sK1(sdtpldt0(xl,sdtpldt0(xl,xr)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_37358,c_93,c_36949]) ).
tcf(c_37364,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xr)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xr)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_37357,c_36951,c_93,c_36949]) ).
tcf(c_37379,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10291,c_99]) ).
tcf(c_37380,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xr),X0)) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10291,c_104]) ).
tcf(c_37381,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0) ),
inference(superposition,[status(thm)],[c_10291,c_100]) ).
tcf(c_37382,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xr))) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_10291,c_66]) ).
tcf(c_37383,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xr))) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37382,c_10141]) ).
tcf(c_37387,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37381,c_10141]) ).
tcf(c_37392,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xr),X0)) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37380,c_10141]) ).
tcf(c_37396,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37379,c_10141]) ).
tcf(c_37402,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10525,c_87]) ).
tcf(c_37405,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10525,c_90]) ).
tcf(c_37411,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10525,c_87]) ).
tcf(c_37414,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37405,c_5247,c_93,c_5245]) ).
tcf(c_37418,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37411,c_5247,c_93,c_5245]) ).
tcf(c_37423,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37402,c_5247,c_93,c_5245]) ).
tcf(c_37428,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(global_subsumption_just,[status(thm)],[c_9256,c_3417,c_3442,c_9256]) ).
tcf(c_37430,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_37428,c_87]) ).
tcf(c_37431,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_37428,c_83]) ).
tcf(c_37432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_37428,c_85]) ).
tcf(c_37433,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_37428,c_90]) ).
tcf(c_37436,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_37428,c_88]) ).
tcf(c_37439,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_37428,c_87]) ).
tcf(c_37440,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_37428,c_89]) ).
tcf(c_37441,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(superposition,[status(thm)],[c_37428,c_85]) ).
tcf(c_37446,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37436,c_3444,c_3010]) ).
tcf(c_37449,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37440,c_3444,c_3010]) ).
tcf(c_37454,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37433,c_3010]) ).
tcf(c_37460,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37441,c_3444,c_3010]) ).
tcf(c_37466,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37439,c_3010]) ).
tcf(c_37473,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37432,c_3444,c_3010]) ).
tcf(c_37479,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37430,c_3010]) ).
tcf(c_37588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10526,c_85]) ).
tcf(c_37593,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10526,c_140]) ).
tcf(c_37596,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10526,c_89]) ).
tcf(c_37597,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10526,c_85]) ).
tcf(c_37598,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_37593,c_93,c_5245]) ).
tcf(c_37599,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37596,c_5247,c_93,c_5245]) ).
tcf(c_37603,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37597,c_5247,c_93,c_5245]) ).
tcf(c_37608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37588,c_5247,c_93,c_5245]) ).
tcf(c_37613,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_37598,c_79]) ).
tcf(c_37614,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_37598,c_96]) ).
tcf(c_37615,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sK1(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_37598,c_82]) ).
tcf(c_37616,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37613,c_93,c_5245]) ).
tcf(c_37620,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sK1(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_37615,c_93,c_5245]) ).
tcf(c_37621,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_37614,c_5247,c_93,c_5245]) ).
tcf(c_37622,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xl,xp),sz00)),sz00)
| ( sdtpldt0(xl,xp) = X0 )
| ( sK1(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xp),sz00)) ),
inference(superposition,[status(thm)],[c_11224,c_87]) ).
tcf(c_37623,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sz00)
| ( sK1(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xp),sz00)) ),
inference(superposition,[status(thm)],[c_11224,c_83]) ).
tcf(c_37624,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sz00)
| ( sdtpldt0(xl,xp) = sz00 )
| ( sK1(sdtpldt0(xl,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xp),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xl,xp),sz00)) ),
inference(superposition,[status(thm)],[c_11224,c_85]) ).
tcf(c_37625,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ( sK1(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xp),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xl,xp),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_11224,c_90]) ).
tcf(c_37628,plain,
( ( sdtpldt0(xl,xp) = sz00 )
| ( sK1(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xp),sz00)) ),
inference(superposition,[status(thm)],[c_11224,c_88]) ).
tcf(c_37631,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xl,xp),sz00)))
| ( sdtpldt0(xl,xp) = X0 )
| ( sK1(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xp),sz00)) ),
inference(superposition,[status(thm)],[c_11224,c_87]) ).
tcf(c_37632,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = sz00 )
| ( sK1(sdtpldt0(xl,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xp),sz00))
| ( sdtasdt0(sdtpldt0(xl,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11224,c_89]) ).
tcf(c_37633,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xp),X0))
| ( sdtpldt0(xl,xp) = sz00 )
| ( sK1(sdtpldt0(xl,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xp),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xl,xp),sz00),X0) ),
inference(superposition,[status(thm)],[c_11224,c_85]) ).
tcf(c_37634,plain,
( ( sK1(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37623,c_12313,c_7844]) ).
tcf(c_37638,plain,
! [X0: $i] :
( ( sK1(sdtpldt0(xl,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xp),sz00))
| ( sdtasdt0(sdtpldt0(xl,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37632,c_7849,c_7844]) ).
tcf(c_37643,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ( sK1(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xp),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xl,xp),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37625,c_7844]) ).
tcf(c_37649,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xp),X0))
| ( sK1(sdtpldt0(xl,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xp),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xl,xp),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37633,c_7849,c_7844]) ).
tcf(c_37655,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xl,xp),sz00)))
| ( sdtpldt0(xl,xp) = X0 )
| ( sK1(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37631,c_7844]) ).
tcf(c_37662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sz00)
| ( sK1(sdtpldt0(xl,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xp),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xl,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37624,c_7849,c_7844]) ).
tcf(c_37668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xl,xp),sz00)),sz00)
| ( sdtpldt0(xl,xp) = X0 )
| ( sK1(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37622,c_7844]) ).
tcf(c_37681,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_78,c_11225]) ).
tcf(c_37683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))),sz00)
| ( sdtpldt0(xl,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_11229,c_87]) ).
tcf(c_37684,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_11229,c_83]) ).
tcf(c_37685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sz00)
| ( sdtpldt0(xl,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_11229,c_85]) ).
tcf(c_37686,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11229,c_90]) ).
tcf(c_37689,plain,
( ( sdtpldt0(xl,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_11229,c_88]) ).
tcf(c_37692,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))))
| ( sdtpldt0(xl,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_11229,c_87]) ).
tcf(c_37693,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ( sdtasdt0(sdtpldt0(xl,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11229,c_89]) ).
tcf(c_37694,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xp),X0))
| ( sdtpldt0(xl,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xp)),X0) ),
inference(superposition,[status(thm)],[c_11229,c_85]) ).
tcf(c_37695,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37684,c_12313,c_7844]) ).
tcf(c_37699,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ( sdtasdt0(sdtpldt0(xl,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37693,c_7849,c_7844]) ).
tcf(c_37704,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37686,c_7844]) ).
tcf(c_37710,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xp),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37694,c_7849,c_7844]) ).
tcf(c_37716,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))))
| ( sdtpldt0(xl,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37692,c_7844]) ).
tcf(c_37723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37685,c_7849,c_7844]) ).
tcf(c_37729,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))),sz00)
| ( sdtpldt0(xl,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37683,c_7844]) ).
tcf(c_37736,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xl,xq),sz00)),sz00)
| ( sdtpldt0(xl,xq) = X0 )
| ( sK1(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_11367,c_87]) ).
tcf(c_37737,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sz00)
| ( sK1(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_11367,c_83]) ).
tcf(c_37738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sz00)
| ( sdtpldt0(xl,xq) = sz00 )
| ( sK1(sdtpldt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xq),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_11367,c_85]) ).
tcf(c_37739,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ( sK1(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xq),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xl,xq),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_11367,c_90]) ).
tcf(c_37742,plain,
( ( sdtpldt0(xl,xq) = sz00 )
| ( sK1(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_11367,c_88]) ).
tcf(c_37745,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xl,xq),sz00)))
| ( sdtpldt0(xl,xq) = X0 )
| ( sK1(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_11367,c_87]) ).
tcf(c_37746,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = sz00 )
| ( sK1(sdtpldt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xq),sz00))
| ( sdtasdt0(sdtpldt0(xl,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11367,c_89]) ).
tcf(c_37747,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xq),X0))
| ( sdtpldt0(xl,xq) = sz00 )
| ( sK1(sdtpldt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xq),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xl,xq),sz00),X0) ),
inference(superposition,[status(thm)],[c_11367,c_85]) ).
tcf(c_37748,plain,
( ( sK1(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37737,c_12491,c_9733]) ).
tcf(c_37752,plain,
! [X0: $i] :
( ( sK1(sdtpldt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xq),sz00))
| ( sdtasdt0(sdtpldt0(xl,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37746,c_9738,c_9733]) ).
tcf(c_37757,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ( sK1(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xq),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xl,xq),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37739,c_9733]) ).
tcf(c_37763,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xq),X0))
| ( sK1(sdtpldt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xq),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xl,xq),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37747,c_9738,c_9733]) ).
tcf(c_37769,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xl,xq),sz00)))
| ( sdtpldt0(xl,xq) = X0 )
| ( sK1(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37745,c_9733]) ).
tcf(c_37776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sz00)
| ( sK1(sdtpldt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xq),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37738,c_9738,c_9733]) ).
tcf(c_37782,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xl,xq),sz00)),sz00)
| ( sdtpldt0(xl,xq) = X0 )
| ( sK1(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37736,c_9733]) ).
tcf(c_37852,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_78,c_11368]) ).
tcf(c_37854,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))),sz00)
| ( sdtpldt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11372,c_87]) ).
tcf(c_37855,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11372,c_83]) ).
tcf(c_37856,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sz00)
| ( sdtpldt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11372,c_85]) ).
tcf(c_37857,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11372,c_90]) ).
tcf(c_37860,plain,
( ( sdtpldt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11372,c_88]) ).
tcf(c_37863,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))))
| ( sdtpldt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11372,c_87]) ).
tcf(c_37864,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ( sdtasdt0(sdtpldt0(xl,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11372,c_89]) ).
tcf(c_37865,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xq),X0))
| ( sdtpldt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_11372,c_85]) ).
tcf(c_37866,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37855,c_12491,c_9733]) ).
tcf(c_37870,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ( sdtasdt0(sdtpldt0(xl,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37864,c_9738,c_9733]) ).
tcf(c_37875,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37857,c_9733]) ).
tcf(c_37881,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xq),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37865,c_9738,c_9733]) ).
tcf(c_37887,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))))
| ( sdtpldt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37863,c_9733]) ).
tcf(c_37894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37856,c_9738,c_9733]) ).
tcf(c_37900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))),sz00)
| ( sdtpldt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37854,c_9733]) ).
tcf(c_37975,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xl,xr),sz00)),sz00)
| ( sdtpldt0(xl,xr) = X0 )
| ( sK1(sdtpldt0(xl,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xr),sz00)) ),
inference(superposition,[status(thm)],[c_11438,c_87]) ).
tcf(c_37976,plain,
( sdtlseqdt0(sdtpldt0(xl,xr),sz00)
| ( sK1(sdtpldt0(xl,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xr),sz00)) ),
inference(superposition,[status(thm)],[c_11438,c_83]) ).
tcf(c_37977,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xr),X0),sz00)
| ( sdtpldt0(xl,xr) = sz00 )
| ( sK1(sdtpldt0(xl,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xr),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xl,xr),sz00)) ),
inference(superposition,[status(thm)],[c_11438,c_85]) ).
tcf(c_37978,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ( sK1(sdtpldt0(xl,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xr),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xl,xr),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_11438,c_90]) ).
tcf(c_37981,plain,
( ( sdtpldt0(xl,xr) = sz00 )
| ( sK1(sdtpldt0(xl,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xr),sz00)) ),
inference(superposition,[status(thm)],[c_11438,c_88]) ).
tcf(c_37984,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xl,xr),sz00)))
| ( sdtpldt0(xl,xr) = X0 )
| ( sK1(sdtpldt0(xl,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xr),sz00)) ),
inference(superposition,[status(thm)],[c_11438,c_87]) ).
tcf(c_37985,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = sz00 )
| ( sK1(sdtpldt0(xl,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xr),sz00))
| ( sdtasdt0(sdtpldt0(xl,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11438,c_89]) ).
tcf(c_37986,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xr),X0))
| ( sdtpldt0(xl,xr) = sz00 )
| ( sK1(sdtpldt0(xl,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xr),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xl,xr),sz00),X0) ),
inference(superposition,[status(thm)],[c_11438,c_85]) ).
tcf(c_37987,plain,
( ( sK1(sdtpldt0(xl,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37976,c_12633,c_10141]) ).
tcf(c_37991,plain,
! [X0: $i] :
( ( sK1(sdtpldt0(xl,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xr),sz00))
| ( sdtasdt0(sdtpldt0(xl,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37985,c_10146,c_10141]) ).
tcf(c_37996,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ( sK1(sdtpldt0(xl,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xr),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xl,xr),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37978,c_10141]) ).
tcf(c_38002,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xr),X0))
| ( sK1(sdtpldt0(xl,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xr),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xl,xr),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37986,c_10146,c_10141]) ).
tcf(c_38008,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xl,xr),sz00)))
| ( sdtpldt0(xl,xr) = X0 )
| ( sK1(sdtpldt0(xl,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37984,c_10141]) ).
tcf(c_38015,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xr),X0),sz00)
| ( sK1(sdtpldt0(xl,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xr),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xl,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37977,c_10146,c_10141]) ).
tcf(c_38021,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xl,xr),sz00)),sz00)
| ( sdtpldt0(xl,xr) = X0 )
| ( sK1(sdtpldt0(xl,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37975,c_10141]) ).
tcf(c_38034,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_78,c_11439]) ).
tcf(c_38036,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xr))),sz00)
| ( sdtpldt0(xl,xr) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_11443,c_87]) ).
tcf(c_38037,plain,
( sdtlseqdt0(sdtpldt0(xl,xr),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_11443,c_83]) ).
tcf(c_38038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xr),X0),sz00)
| ( sdtpldt0(xl,xr) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_11443,c_85]) ).
tcf(c_38039,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xr)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11443,c_90]) ).
tcf(c_38042,plain,
( ( sdtpldt0(xl,xr) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_11443,c_88]) ).
tcf(c_38045,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xr))))
| ( sdtpldt0(xl,xr) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_11443,c_87]) ).
tcf(c_38046,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xr)))
| ( sdtasdt0(sdtpldt0(xl,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11443,c_89]) ).
tcf(c_38047,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xr),X0))
| ( sdtpldt0(xl,xr) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xr)),X0) ),
inference(superposition,[status(thm)],[c_11443,c_85]) ).
tcf(c_38048,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38037,c_12633,c_10141]) ).
tcf(c_38052,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xr)))
| ( sdtasdt0(sdtpldt0(xl,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38046,c_10146,c_10141]) ).
tcf(c_38057,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xr)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38039,c_10141]) ).
tcf(c_38063,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xr),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38047,c_10146,c_10141]) ).
tcf(c_38069,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xr))))
| ( sdtpldt0(xl,xr) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38045,c_10141]) ).
tcf(c_38076,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xr),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38038,c_10146,c_10141]) ).
tcf(c_38082,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xr))),sz00)
| ( sdtpldt0(xl,xr) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38036,c_10141]) ).
tcf(c_38095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_12312,c_63]) ).
tcf(c_38096,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xp)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_12312,c_69]) ).
tcf(c_38097,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xl,xp)),X0) ),
inference(superposition,[status(thm)],[c_12312,c_61]) ).
tcf(c_38098,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xp)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_12312,c_78]) ).
tcf(c_38099,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xp)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xp))) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_12312,c_70]) ).
tcf(c_38100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xp))
| ( sK0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_12312,c_61]) ).
tcf(c_38101,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xp))),sdtpldt0(xl,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_12312,c_63]) ).
tcf(c_38102,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xp)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xp))) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38099,c_93]) ).
tcf(c_38107,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xp)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38098,c_93]) ).
tcf(c_38113,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xp)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38096,c_93]) ).
tcf(c_38118,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xp))),sdtpldt0(xl,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38101,c_93]) ).
tcf(c_38124,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38095,c_93]) ).
tcf(c_38130,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xp))
| ( sK0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38100,c_93]) ).
tcf(c_38136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xl,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38097,c_93]) ).
tcf(c_38153,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_12315,c_99]) ).
tcf(c_38154,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xp),X0)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_12315,c_104]) ).
tcf(c_38155,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(superposition,[status(thm)],[c_12315,c_100]) ).
tcf(c_38156,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_12315,c_66]) ).
tcf(c_38157,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38156,c_7844]) ).
tcf(c_38161,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38155,c_7844]) ).
tcf(c_38166,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xp),X0)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38154,c_7844]) ).
tcf(c_38170,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38153,c_7844]) ).
tcf(c_38242,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_12490,c_63]) ).
tcf(c_38243,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xq)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_12490,c_69]) ).
tcf(c_38244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_12490,c_61]) ).
tcf(c_38245,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xq)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_12490,c_78]) ).
tcf(c_38246,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xq)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xq))) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_12490,c_70]) ).
tcf(c_38247,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xq))
| ( sK0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_12490,c_61]) ).
tcf(c_38248,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xq))),sdtpldt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_12490,c_63]) ).
tcf(c_38249,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xq)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xq))) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38246,c_93]) ).
tcf(c_38254,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xq)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38245,c_93]) ).
tcf(c_38260,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xq)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38243,c_93]) ).
tcf(c_38265,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xq))),sdtpldt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38248,c_93]) ).
tcf(c_38271,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38242,c_93]) ).
tcf(c_38277,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xq))
| ( sK0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38247,c_93]) ).
tcf(c_38283,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38244,c_93]) ).
tcf(c_38300,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_9999,c_63]) ).
tcf(c_38301,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_9999,c_69]) ).
tcf(c_38302,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(superposition,[status(thm)],[c_9999,c_61]) ).
tcf(c_38303,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_9999,c_78]) ).
tcf(c_38304,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_9999,c_70]) ).
tcf(c_38305,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_9999,c_61]) ).
tcf(c_38306,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_9999,c_63]) ).
tcf(c_38307,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38304,c_93]) ).
tcf(c_38312,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38303,c_93]) ).
tcf(c_38318,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38301,c_93]) ).
tcf(c_38323,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38306,c_93]) ).
tcf(c_38329,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38300,c_93]) ).
tcf(c_38335,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38305,c_93]) ).
tcf(c_38341,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38302,c_93]) ).
tcf(c_38399,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_12493,c_99]) ).
tcf(c_38400,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xq),X0)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_12493,c_104]) ).
tcf(c_38401,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_12493,c_100]) ).
tcf(c_38402,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_12493,c_66]) ).
tcf(c_38403,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38402,c_9733]) ).
tcf(c_38407,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38401,c_9733]) ).
tcf(c_38412,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xq),X0)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38400,c_9733]) ).
tcf(c_38416,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38399,c_9733]) ).
tcf(c_38428,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xr))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_12632,c_63]) ).
tcf(c_38429,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xr)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_12632,c_69]) ).
tcf(c_38430,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xl,xr)),X0) ),
inference(superposition,[status(thm)],[c_12632,c_61]) ).
tcf(c_38431,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xr)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_12632,c_78]) ).
tcf(c_38432,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xr)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xr))) != sdtpldt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_12632,c_70]) ).
tcf(c_38433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xr))
| ( sK0(sz00,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_12632,c_61]) ).
tcf(c_38434,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xr))),sdtpldt0(xl,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_12632,c_63]) ).
tcf(c_38435,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xr)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xr))) != sdtpldt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38432,c_93]) ).
tcf(c_38440,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xr)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38431,c_93]) ).
tcf(c_38446,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xr)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38429,c_93]) ).
tcf(c_38451,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xr))),sdtpldt0(xl,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38434,c_93]) ).
tcf(c_38457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(X0,sK0(sz00,sdtpldt0(xl,xr))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38428,c_93]) ).
tcf(c_38463,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xr))
| ( sK0(sz00,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38433,c_93]) ).
tcf(c_38469,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xl,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38430,c_93]) ).
tcf(c_38486,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_12635,c_99]) ).
tcf(c_38487,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xr),X0)) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_12635,c_104]) ).
tcf(c_38488,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0) ),
inference(superposition,[status(thm)],[c_12635,c_100]) ).
tcf(c_38489,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xr))) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_12635,c_66]) ).
tcf(c_38490,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xl,xr))) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38489,c_10141]) ).
tcf(c_38494,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38488,c_10141]) ).
tcf(c_38499,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xr),X0)) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38487,c_10141]) ).
tcf(c_38503,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38486,c_10141]) ).
tcf(c_38511,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12770,c_68]) ).
tcf(c_38512,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12770,c_67]) ).
tcf(c_38513,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_12770,c_143]) ).
tcf(c_38514,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_12770,c_77]) ).
tcf(c_38515,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_12770,c_63]) ).
tcf(c_38516,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xm,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_12770,c_69]) ).
tcf(c_38517,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_12770,c_61]) ).
tcf(c_38518,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ doDivides0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_12770,c_78]) ).
tcf(c_38519,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_12770,c_70]) ).
tcf(c_38520,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_12770,c_61]) ).
tcf(c_38521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_12770,c_63]) ).
tcf(c_38522,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_38514,c_50,c_2931]) ).
tcf(c_38523,plain,
sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_38513,c_50,c_2931]) ).
tcf(c_38527,plain,
sdtpldt0(xm,sdtpldt0(xl,xm)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_38512,c_3442,c_50,c_2931]) ).
tcf(c_38528,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38519,c_50,c_2931]) ).
tcf(c_38532,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38518,c_50,c_2931]) ).
tcf(c_38537,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xm,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38516,c_50,c_2931]) ).
tcf(c_38541,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38520,c_50,c_2931]) ).
tcf(c_38546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38517,c_50,c_2931]) ).
tcf(c_38551,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38521,c_50,c_2931]) ).
tcf(c_38556,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38515,c_50,c_2931]) ).
tcf(c_38567,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xr) = sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_38522,c_4999]) ).
tcf(c_38568,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xr) = sdtasdt0(xr,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_38522,c_4997]) ).
tcf(c_38569,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xl,xm))),xr) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_38522,c_4996]) ).
tcf(c_38570,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_38522,c_4945]) ).
tcf(c_38571,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_38522,c_4943]) ).
tcf(c_38572,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xm))),xq) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_38522,c_4942]) ).
tcf(c_38573,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_38522,c_4262]) ).
tcf(c_38574,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_38522,c_4260]) ).
tcf(c_38575,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,xm))),xp) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_38522,c_4259]) ).
tcf(c_38576,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))),xl) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_38522,c_4186]) ).
tcf(c_38577,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(xm,sdtpldt0(xl,xm)))) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_38522,c_4041]) ).
tcf(c_38578,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sK0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(xm,sdtpldt0(xl,xm)))) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_38522,c_3458]) ).
tcf(c_38579,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))),sz00) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_38522,c_3195]) ).
tcf(c_38580,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))),xn) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_38522,c_3190]) ).
tcf(c_38581,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))),xm) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_38522,c_3189]) ).
tcf(c_38582,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))),xl) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_38522,c_3188]) ).
tcf(c_38583,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_38522,c_3101]) ).
tcf(c_38584,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_38522,c_3096]) ).
tcf(c_38585,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_38522,c_3095]) ).
tcf(c_38586,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_38522,c_3094]) ).
tcf(c_38587,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_38522,c_2815]) ).
tcf(c_38588,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_38522,c_2811]) ).
tcf(c_38589,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_38522,c_2810]) ).
tcf(c_38590,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,xm))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38522,c_72]) ).
tcf(c_38591,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38522,c_71]) ).
tcf(c_38592,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,xm))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38522,c_105]) ).
tcf(c_38593,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,xm))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38522,c_75]) ).
tcf(c_38594,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0),sdtpldt0(xm,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38522,c_153]) ).
tcf(c_38595,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0),sdtpldt0(xm,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38522,c_146]) ).
tcf(c_38596,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38522,c_106]) ).
tcf(c_38597,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_38522,c_2809]) ).
tcf(c_38598,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38522,c_76]) ).
tcf(c_38599,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_38522,c_92]) ).
tcf(c_38600,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_38522,c_91]) ).
tcf(c_38601,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_38522,c_74]) ).
tcf(c_38602,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_38522,c_73]) ).
tcf(c_38722,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_38523,c_99]) ).
tcf(c_38723,plain,
( ( sdtpldt0(sdtpldt0(xl,xm),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) = sdtpldt0(xm,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_38523,c_104]) ).
tcf(c_38724,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_38523,c_100]) ).
tcf(c_38725,plain,
( ( sdtpldt0(sdtpldt0(xl,xm),sK0(sdtpldt0(xl,xm),sdtpldt0(xm,sdtpldt0(xl,xm)))) = sdtpldt0(xm,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_38523,c_66]) ).
tcf(c_38726,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38722,c_2931,c_38522]) ).
tcf(c_38730,plain,
sdtpldt0(sdtpldt0(xl,xm),sK0(sdtpldt0(xl,xm),sdtpldt0(xm,sdtpldt0(xl,xm)))) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_38725,c_2931,c_38522]) ).
tcf(c_38731,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38724,c_2931,c_38522]) ).
tcf(c_38734,plain,
sdtpldt0(sdtpldt0(xl,xm),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_38723,c_2931,c_38522]) ).
tcf(c_38736,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_38599,c_87]) ).
tcf(c_38739,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38599,c_90]) ).
tcf(c_38745,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_38599,c_87]) ).
tcf(c_38748,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38739,c_38527,c_93,c_38522]) ).
tcf(c_38752,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38745,c_38527,c_93,c_38522]) ).
tcf(c_38757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38736,c_38527,c_93,c_38522]) ).
tcf(c_38764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_38600,c_85]) ).
tcf(c_38769,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_38600,c_140]) ).
tcf(c_38772,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_38600,c_89]) ).
tcf(c_38773,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_38600,c_85]) ).
tcf(c_38774,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_38769,c_93,c_38522]) ).
tcf(c_38775,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38772,c_38527,c_93,c_38522]) ).
tcf(c_38779,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38773,c_38527,c_93,c_38522]) ).
tcf(c_38784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38764,c_38527,c_93,c_38522]) ).
tcf(c_38789,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_38774,c_79]) ).
tcf(c_38790,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_38774,c_96]) ).
tcf(c_38791,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sK1(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_38774,c_82]) ).
tcf(c_38792,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38789,c_93,c_38522]) ).
tcf(c_38796,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sK1(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_38791,c_93,c_38522]) ).
tcf(c_38797,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_38790,c_38527,c_93,c_38522]) ).
tcf(c_38800,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12771,c_68]) ).
tcf(c_38801,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12771,c_67]) ).
tcf(c_38802,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_12771,c_143]) ).
tcf(c_38803,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_12771,c_77]) ).
tcf(c_38804,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_12771,c_63]) ).
tcf(c_38805,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xm,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_12771,c_69]) ).
tcf(c_38806,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_12771,c_61]) ).
tcf(c_38807,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ doDivides0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_12771,c_78]) ).
tcf(c_38808,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_12771,c_70]) ).
tcf(c_38809,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_12771,c_61]) ).
tcf(c_38810,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_12771,c_63]) ).
tcf(c_38811,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_38803,c_50,c_2971]) ).
tcf(c_38812,plain,
sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_38802,c_50,c_2971]) ).
tcf(c_38816,plain,
sdtpldt0(xm,sdtpldt0(xl,xn)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_38801,c_3441,c_50,c_2971]) ).
tcf(c_38817,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38808,c_50,c_2971]) ).
tcf(c_38821,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38807,c_50,c_2971]) ).
tcf(c_38826,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xm,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38805,c_50,c_2971]) ).
tcf(c_38830,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38809,c_50,c_2971]) ).
tcf(c_38835,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38806,c_50,c_2971]) ).
tcf(c_38840,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38810,c_50,c_2971]) ).
tcf(c_38845,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38804,c_50,c_2971]) ).
tcf(c_38856,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xr) = sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_38811,c_4999]) ).
tcf(c_38857,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xr) = sdtasdt0(xr,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_38811,c_4997]) ).
tcf(c_38858,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xl,xn))),xr) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_38811,c_4996]) ).
tcf(c_38859,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_38811,c_4945]) ).
tcf(c_38860,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_38811,c_4943]) ).
tcf(c_38861,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xn))),xq) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_38811,c_4942]) ).
tcf(c_38862,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_38811,c_4262]) ).
tcf(c_38863,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_38811,c_4260]) ).
tcf(c_38864,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,xn))),xp) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_38811,c_4259]) ).
tcf(c_38865,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))),xl) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_38811,c_4186]) ).
tcf(c_38866,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(xm,sdtpldt0(xl,xn)))) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_38811,c_4041]) ).
tcf(c_38867,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sK0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(xm,sdtpldt0(xl,xn)))) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_38811,c_3458]) ).
tcf(c_38868,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))),sz00) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_38811,c_3195]) ).
tcf(c_38869,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))),xn) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_38811,c_3190]) ).
tcf(c_38870,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))),xm) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_38811,c_3189]) ).
tcf(c_38871,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))),xl) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_38811,c_3188]) ).
tcf(c_38872,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_38811,c_3101]) ).
tcf(c_38873,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_38811,c_3096]) ).
tcf(c_38874,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_38811,c_3095]) ).
tcf(c_38875,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_38811,c_3094]) ).
tcf(c_38876,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_38811,c_2815]) ).
tcf(c_38877,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_38811,c_2811]) ).
tcf(c_38878,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_38811,c_2810]) ).
tcf(c_38879,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,xn))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38811,c_72]) ).
tcf(c_38880,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38811,c_71]) ).
tcf(c_38881,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,xn))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38811,c_105]) ).
tcf(c_38882,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,xn))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38811,c_75]) ).
tcf(c_38883,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0),sdtpldt0(xm,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38811,c_153]) ).
tcf(c_38884,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0),sdtpldt0(xm,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38811,c_146]) ).
tcf(c_38885,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38811,c_106]) ).
tcf(c_38886,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_38811,c_2809]) ).
tcf(c_38887,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38811,c_76]) ).
tcf(c_38888,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_38811,c_92]) ).
tcf(c_38889,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_38811,c_91]) ).
tcf(c_38890,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_38811,c_74]) ).
tcf(c_38891,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_38811,c_73]) ).
tcf(c_39034,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_38812,c_99]) ).
tcf(c_39035,plain,
( ( sdtpldt0(sdtpldt0(xl,xn),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) = sdtpldt0(xm,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_38812,c_104]) ).
tcf(c_39036,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_38812,c_100]) ).
tcf(c_39037,plain,
( ( sdtpldt0(sdtpldt0(xl,xn),sK0(sdtpldt0(xl,xn),sdtpldt0(xm,sdtpldt0(xl,xn)))) = sdtpldt0(xm,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_38812,c_66]) ).
tcf(c_39038,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39034,c_2971,c_38811]) ).
tcf(c_39042,plain,
sdtpldt0(sdtpldt0(xl,xn),sK0(sdtpldt0(xl,xn),sdtpldt0(xm,sdtpldt0(xl,xn)))) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_39037,c_2971,c_38811]) ).
tcf(c_39043,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39036,c_2971,c_38811]) ).
tcf(c_39046,plain,
sdtpldt0(sdtpldt0(xl,xn),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_39035,c_2971,c_38811]) ).
tcf(c_39095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_38888,c_87]) ).
tcf(c_39098,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38888,c_90]) ).
tcf(c_39104,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_38888,c_87]) ).
tcf(c_39107,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39098,c_38816,c_93,c_38811]) ).
tcf(c_39111,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39104,c_38816,c_93,c_38811]) ).
tcf(c_39116,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39095,c_38816,c_93,c_38811]) ).
tcf(c_39124,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_38889,c_85]) ).
tcf(c_39129,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_38889,c_140]) ).
tcf(c_39132,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_38889,c_89]) ).
tcf(c_39133,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_38889,c_85]) ).
tcf(c_39134,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_39129,c_93,c_38811]) ).
tcf(c_39135,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39132,c_38816,c_93,c_38811]) ).
tcf(c_39139,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39133,c_38816,c_93,c_38811]) ).
tcf(c_39144,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39124,c_38816,c_93,c_38811]) ).
tcf(c_39149,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_39134,c_79]) ).
tcf(c_39150,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_39134,c_96]) ).
tcf(c_39151,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sK1(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_39134,c_82]) ).
tcf(c_39152,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39149,c_93,c_38811]) ).
tcf(c_39156,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sK1(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_39151,c_93,c_38811]) ).
tcf(c_39157,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_39150,c_38816,c_93,c_38811]) ).
tcf(c_39160,plain,
( ( sK0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_12967,c_68]) ).
tcf(c_39161,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_12967,c_67]) ).
tcf(c_39164,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(X0,sK0(xn,sdtpldt0(xm,xn))))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_12967,c_63]) ).
tcf(c_39165,plain,
! [X0: $i] :
( ( sK0(xn,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn)))
| ( sdtpldt0(xn,X0) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_12967,c_69]) ).
tcf(c_39166,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xn,X0))
| ( sK0(xn,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(sK0(xn,sdtpldt0(xm,xn)),X0) ),
inference(superposition,[status(thm)],[c_12967,c_61]) ).
tcf(c_39167,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn)))
| ~ doDivides0(X0,sK0(xn,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_12967,c_78]) ).
tcf(c_39168,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn)))
| ( sdtpldt0(X0,sK0(xn,sdtpldt0(xm,xn))) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_12967,c_70]) ).
tcf(c_39169,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xm,xn))
| ( sK0(xn,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(X0,sK0(xn,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_12967,c_61]) ).
tcf(c_39170,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtpldt0(xm,xn))),sdtpldt0(xm,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_12967,c_63]) ).
tcf(c_39171,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39161,c_51]) ).
tcf(c_39175,plain,
( ( sK0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39160,c_51]) ).
tcf(c_39179,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn)))
| ( sdtpldt0(X0,sK0(xn,sdtpldt0(xm,xn))) != sdtpldt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39168,c_51]) ).
tcf(c_39184,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn)))
| ~ doDivides0(X0,sK0(xn,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39167,c_51]) ).
tcf(c_39190,plain,
! [X0: $i] :
( ( sK0(xn,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn)))
| ( sdtpldt0(xn,X0) != sdtpldt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39165,c_51]) ).
tcf(c_39195,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtpldt0(xm,xn))),sdtpldt0(xm,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39170,c_51]) ).
tcf(c_39201,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(X0,sK0(xn,sdtpldt0(xm,xn))))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39164,c_51]) ).
tcf(c_39207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xm,xn))
| ( sK0(xn,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(X0,sK0(xn,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39169,c_51]) ).
tcf(c_39213,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xn,X0))
| ( sK0(xn,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(sK0(xn,sdtpldt0(xm,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39166,c_51]) ).
tcf(c_39291,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12778,c_68]) ).
tcf(c_39292,plain,
( ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12778,c_67]) ).
tcf(c_39293,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_12778,c_143]) ).
tcf(c_39294,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_12778,c_77]) ).
tcf(c_39295,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(superposition,[status(thm)],[c_12778,c_63]) ).
tcf(c_39296,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xm,sdtpldt0(xl,xp)) ) ),
inference(superposition,[status(thm)],[c_12778,c_69]) ).
tcf(c_39297,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_12778,c_61]) ).
tcf(c_39298,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ doDivides0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_12778,c_78]) ).
tcf(c_39299,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_12778,c_70]) ).
tcf(c_39300,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xm,sdtpldt0(xl,xp)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_12778,c_61]) ).
tcf(c_39301,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_12778,c_63]) ).
tcf(c_39302,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_39294,c_50,c_7844]) ).
tcf(c_39303,plain,
sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_39293,c_50,c_7844]) ).
tcf(c_39307,plain,
sdtpldt0(xm,sdtpldt0(xl,xp)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_39292,c_7849,c_50,c_7844]) ).
tcf(c_39308,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39299,c_50,c_7844]) ).
tcf(c_39312,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39298,c_50,c_7844]) ).
tcf(c_39317,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xm,sdtpldt0(xl,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39296,c_50,c_7844]) ).
tcf(c_39321,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xm,sdtpldt0(xl,xp)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39300,c_50,c_7844]) ).
tcf(c_39326,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39297,c_50,c_7844]) ).
tcf(c_39331,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39301,c_50,c_7844]) ).
tcf(c_39336,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39295,c_50,c_7844]) ).
tcf(c_39403,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xr) = sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_39302,c_4999]) ).
tcf(c_39404,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xr) = sdtasdt0(xr,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_39302,c_4997]) ).
tcf(c_39405,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xl,xp))),xr) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_39302,c_4996]) ).
tcf(c_39406,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_39302,c_4945]) ).
tcf(c_39407,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_39302,c_4943]) ).
tcf(c_39408,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xp))),xq) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_39302,c_4942]) ).
tcf(c_39409,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_39302,c_4262]) ).
tcf(c_39410,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_39302,c_4260]) ).
tcf(c_39411,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,xp))),xp) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_39302,c_4259]) ).
tcf(c_39412,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xp))),xl) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_39302,c_4186]) ).
tcf(c_39413,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(xm,sdtpldt0(xl,xp)))) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_39302,c_4041]) ).
tcf(c_39414,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sK0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(xm,sdtpldt0(xl,xp)))) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_39302,c_3458]) ).
tcf(c_39415,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp))),sz00) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_39302,c_3195]) ).
tcf(c_39416,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xp))),xn) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_39302,c_3190]) ).
tcf(c_39417,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xp))),xm) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_39302,c_3189]) ).
tcf(c_39418,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xp))),xl) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_39302,c_3188]) ).
tcf(c_39419,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_39302,c_3101]) ).
tcf(c_39420,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_39302,c_3096]) ).
tcf(c_39421,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_39302,c_3095]) ).
tcf(c_39422,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_39302,c_3094]) ).
tcf(c_39423,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_39302,c_2815]) ).
tcf(c_39424,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_39302,c_2811]) ).
tcf(c_39425,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_39302,c_2810]) ).
tcf(c_39426,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,xp))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39302,c_72]) ).
tcf(c_39427,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39302,c_71]) ).
tcf(c_39428,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,xp))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39302,c_105]) ).
tcf(c_39429,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,xp))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39302,c_75]) ).
tcf(c_39430,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0),sdtpldt0(xm,sdtpldt0(xl,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39302,c_153]) ).
tcf(c_39431,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0),sdtpldt0(xm,sdtpldt0(xl,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39302,c_146]) ).
tcf(c_39432,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39302,c_106]) ).
tcf(c_39433,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_39302,c_2809]) ).
tcf(c_39434,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39302,c_76]) ).
tcf(c_39435,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp))) = sz00,
inference(superposition,[status(thm)],[c_39302,c_92]) ).
tcf(c_39436,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) = sz00,
inference(superposition,[status(thm)],[c_39302,c_91]) ).
tcf(c_39437,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp))) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_39302,c_74]) ).
tcf(c_39438,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_39302,c_73]) ).
tcf(c_39598,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_39303,c_99]) ).
tcf(c_39599,plain,
( ( sdtpldt0(sdtpldt0(xl,xp),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(xl,xp))) = sdtpldt0(xm,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_39303,c_104]) ).
tcf(c_39600,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_39303,c_100]) ).
tcf(c_39601,plain,
( ( sdtpldt0(sdtpldt0(xl,xp),sK0(sdtpldt0(xl,xp),sdtpldt0(xm,sdtpldt0(xl,xp)))) = sdtpldt0(xm,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_39303,c_66]) ).
tcf(c_39602,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39598,c_7844,c_39302]) ).
tcf(c_39606,plain,
sdtpldt0(sdtpldt0(xl,xp),sK0(sdtpldt0(xl,xp),sdtpldt0(xm,sdtpldt0(xl,xp)))) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_39601,c_7844,c_39302]) ).
tcf(c_39607,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sdtpldt0(xl,xp) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39600,c_7844,c_39302]) ).
tcf(c_39610,plain,
sdtpldt0(sdtpldt0(xl,xp),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(xl,xp))) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_39599,c_7844,c_39302]) ).
tcf(c_39612,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_39435,c_87]) ).
tcf(c_39615,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_39435,c_90]) ).
tcf(c_39621,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_39435,c_87]) ).
tcf(c_39624,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39615,c_39307,c_93,c_39302]) ).
tcf(c_39628,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39621,c_39307,c_93,c_39302]) ).
tcf(c_39633,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39612,c_39307,c_93,c_39302]) ).
tcf(c_39640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_39436,c_85]) ).
tcf(c_39645,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_39436,c_140]) ).
tcf(c_39648,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_39436,c_89]) ).
tcf(c_39649,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_39436,c_85]) ).
tcf(c_39650,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_39645,c_93,c_39302]) ).
tcf(c_39651,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39648,c_39307,c_93,c_39302]) ).
tcf(c_39655,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39649,c_39307,c_93,c_39302]) ).
tcf(c_39660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39640,c_39307,c_93,c_39302]) ).
tcf(c_39665,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_39650,c_79]) ).
tcf(c_39666,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_39650,c_96]) ).
tcf(c_39667,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sK1(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_39650,c_82]) ).
tcf(c_39668,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39665,c_93,c_39302]) ).
tcf(c_39672,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sK1(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_39667,c_93,c_39302]) ).
tcf(c_39673,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_39666,c_39307,c_93,c_39302]) ).
tcf(c_39676,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12779,c_68]) ).
tcf(c_39677,plain,
( ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12779,c_67]) ).
tcf(c_39678,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_12779,c_143]) ).
tcf(c_39679,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_12779,c_77]) ).
tcf(c_39680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_12779,c_63]) ).
tcf(c_39681,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xm,sdtpldt0(xl,xq)) ) ),
inference(superposition,[status(thm)],[c_12779,c_69]) ).
tcf(c_39682,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_12779,c_61]) ).
tcf(c_39683,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ doDivides0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_12779,c_78]) ).
tcf(c_39684,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_12779,c_70]) ).
tcf(c_39685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xm,sdtpldt0(xl,xq)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_12779,c_61]) ).
tcf(c_39686,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xq)))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_12779,c_63]) ).
tcf(c_39687,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_39679,c_50,c_9733]) ).
tcf(c_39688,plain,
sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_39678,c_50,c_9733]) ).
tcf(c_39692,plain,
sdtpldt0(xm,sdtpldt0(xl,xq)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_39677,c_9738,c_50,c_9733]) ).
tcf(c_39693,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39684,c_50,c_9733]) ).
tcf(c_39697,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39683,c_50,c_9733]) ).
tcf(c_39702,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xm,sdtpldt0(xl,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39681,c_50,c_9733]) ).
tcf(c_39706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xm,sdtpldt0(xl,xq)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39685,c_50,c_9733]) ).
tcf(c_39711,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39682,c_50,c_9733]) ).
tcf(c_39716,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xq)))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39686,c_50,c_9733]) ).
tcf(c_39721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39680,c_50,c_9733]) ).
tcf(c_39732,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xr) = sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_39687,c_4999]) ).
tcf(c_39733,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xr) = sdtasdt0(xr,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_39687,c_4997]) ).
tcf(c_39734,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xl,xq))),xr) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_39687,c_4996]) ).
tcf(c_39735,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_39687,c_4945]) ).
tcf(c_39736,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_39687,c_4943]) ).
tcf(c_39737,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xq))),xq) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_39687,c_4942]) ).
tcf(c_39738,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_39687,c_4262]) ).
tcf(c_39739,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_39687,c_4260]) ).
tcf(c_39740,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,xq))),xp) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_39687,c_4259]) ).
tcf(c_39741,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xq))),xl) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_39687,c_4186]) ).
tcf(c_39742,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(xm,sdtpldt0(xl,xq)))) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_39687,c_4041]) ).
tcf(c_39743,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sK0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(xm,sdtpldt0(xl,xq)))) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_39687,c_3458]) ).
tcf(c_39744,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq))),sz00) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_39687,c_3195]) ).
tcf(c_39745,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xq))),xn) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_39687,c_3190]) ).
tcf(c_39746,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xq))),xm) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_39687,c_3189]) ).
tcf(c_39747,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xq))),xl) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_39687,c_3188]) ).
tcf(c_39748,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_39687,c_3101]) ).
tcf(c_39749,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_39687,c_3096]) ).
tcf(c_39750,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_39687,c_3095]) ).
tcf(c_39751,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_39687,c_3094]) ).
tcf(c_39752,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_39687,c_2815]) ).
tcf(c_39753,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_39687,c_2811]) ).
tcf(c_39754,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_39687,c_2810]) ).
tcf(c_39755,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,xq))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39687,c_72]) ).
tcf(c_39756,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39687,c_71]) ).
tcf(c_39757,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,xq))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39687,c_105]) ).
tcf(c_39758,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,xq))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39687,c_75]) ).
tcf(c_39759,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0),sdtpldt0(xm,sdtpldt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39687,c_153]) ).
tcf(c_39760,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0),sdtpldt0(xm,sdtpldt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39687,c_146]) ).
tcf(c_39761,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39687,c_106]) ).
tcf(c_39762,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_39687,c_2809]) ).
tcf(c_39763,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39687,c_76]) ).
tcf(c_39764,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq))) = sz00,
inference(superposition,[status(thm)],[c_39687,c_92]) ).
tcf(c_39765,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_39687,c_91]) ).
tcf(c_39766,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq))) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_39687,c_74]) ).
tcf(c_39767,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_39687,c_73]) ).
tcf(c_39862,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_39688,c_99]) ).
tcf(c_39863,plain,
( ( sdtpldt0(sdtpldt0(xl,xq),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(xl,xq))) = sdtpldt0(xm,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_39688,c_104]) ).
tcf(c_39864,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_39688,c_100]) ).
tcf(c_39865,plain,
( ( sdtpldt0(sdtpldt0(xl,xq),sK0(sdtpldt0(xl,xq),sdtpldt0(xm,sdtpldt0(xl,xq)))) = sdtpldt0(xm,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_39688,c_66]) ).
tcf(c_39866,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39862,c_9733,c_39687]) ).
tcf(c_39870,plain,
sdtpldt0(sdtpldt0(xl,xq),sK0(sdtpldt0(xl,xq),sdtpldt0(xm,sdtpldt0(xl,xq)))) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_39865,c_9733,c_39687]) ).
tcf(c_39871,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sdtpldt0(xl,xq) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39864,c_9733,c_39687]) ).
tcf(c_39874,plain,
sdtpldt0(sdtpldt0(xl,xq),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(xl,xq))) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_39863,c_9733,c_39687]) ).
tcf(c_39891,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_39764,c_87]) ).
tcf(c_39894,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_39764,c_90]) ).
tcf(c_39900,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_39764,c_87]) ).
tcf(c_39903,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39894,c_39692,c_93,c_39687]) ).
tcf(c_39907,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39900,c_39692,c_93,c_39687]) ).
tcf(c_39912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39891,c_39692,c_93,c_39687]) ).
tcf(c_39919,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10523,c_68]) ).
tcf(c_39921,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10523,c_143]) ).
tcf(c_39922,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10523,c_77]) ).
tcf(c_39923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(superposition,[status(thm)],[c_10523,c_63]) ).
tcf(c_39924,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ) ),
inference(superposition,[status(thm)],[c_10523,c_69]) ).
tcf(c_39925,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10523,c_61]) ).
tcf(c_39926,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10523,c_78]) ).
tcf(c_39927,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_10523,c_70]) ).
tcf(c_39928,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10523,c_61]) ).
tcf(c_39929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10523,c_63]) ).
tcf(c_39930,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(forward_subsumption_resolution,[status(thm)],[c_39922,c_49,c_5245]) ).
tcf(c_39931,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(forward_subsumption_resolution,[status(thm)],[c_39921,c_49,c_5245]) ).
tcf(c_39932,plain,
sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_39919,c_54,c_49,c_5245]) ).
tcf(c_39933,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39927,c_49,c_5245]) ).
tcf(c_39937,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39926,c_49,c_5245]) ).
tcf(c_39942,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39924,c_49,c_5245]) ).
tcf(c_39946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39928,c_49,c_5245]) ).
tcf(c_39951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39925,c_49,c_5245]) ).
tcf(c_39956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39929,c_49,c_5245]) ).
tcf(c_39961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39923,c_49,c_5245]) ).
tcf(c_39993,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_39765,c_85]) ).
tcf(c_39998,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_39765,c_140]) ).
tcf(c_40001,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_39765,c_89]) ).
tcf(c_40002,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_39765,c_85]) ).
tcf(c_40003,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_39998,c_93,c_39687]) ).
tcf(c_40004,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40001,c_39692,c_93,c_39687]) ).
tcf(c_40008,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40002,c_39692,c_93,c_39687]) ).
tcf(c_40013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39993,c_39692,c_93,c_39687]) ).
tcf(c_40018,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_40003,c_79]) ).
tcf(c_40019,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_40003,c_96]) ).
tcf(c_40020,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sK1(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_40003,c_82]) ).
tcf(c_40021,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40018,c_93,c_39687]) ).
tcf(c_40025,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sK1(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_40020,c_93,c_39687]) ).
tcf(c_40026,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_40019,c_39692,c_93,c_39687]) ).
tcf(c_40027,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xr) = sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_39930,c_4999]) ).
tcf(c_40028,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xr) = sdtasdt0(xr,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_39930,c_4997]) ).
tcf(c_40029,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),xr) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_39930,c_4996]) ).
tcf(c_40030,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_39930,c_4945]) ).
tcf(c_40031,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_39930,c_4943]) ).
tcf(c_40032,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),xq) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_39930,c_4942]) ).
tcf(c_40033,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_39930,c_4262]) ).
tcf(c_40034,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_39930,c_4260]) ).
tcf(c_40035,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),xp) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_39930,c_4259]) ).
tcf(c_40036,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_39930,c_4186]) ).
tcf(c_40037,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_39930,c_4041]) ).
tcf(c_40038,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sK0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_39930,c_3458]) ).
tcf(c_40039,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_39930,c_3195]) ).
tcf(c_40040,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),xn) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_39930,c_3190]) ).
tcf(c_40041,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),xm) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_39930,c_3189]) ).
tcf(c_40042,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_39930,c_3188]) ).
tcf(c_40043,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_39930,c_3101]) ).
tcf(c_40044,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_39930,c_3096]) ).
tcf(c_40045,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_39930,c_3095]) ).
tcf(c_40046,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_39930,c_3094]) ).
tcf(c_40047,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_39930,c_2815]) ).
tcf(c_40048,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_39930,c_2811]) ).
tcf(c_40049,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_39930,c_2810]) ).
tcf(c_40050,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39930,c_72]) ).
tcf(c_40051,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39930,c_71]) ).
tcf(c_40052,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39930,c_105]) ).
tcf(c_40053,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39930,c_75]) ).
tcf(c_40054,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39930,c_153]) ).
tcf(c_40055,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39930,c_146]) ).
tcf(c_40056,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39930,c_106]) ).
tcf(c_40057,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_39930,c_2809]) ).
tcf(c_40058,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39930,c_76]) ).
tcf(c_40059,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_39930,c_92]) ).
tcf(c_40060,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39930,c_91]) ).
tcf(c_40061,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_39930,c_74]) ).
tcf(c_40062,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_39930,c_73]) ).
tcf(c_40198,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtpldt0(xm,sdtpldt0(xl,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12780,c_68]) ).
tcf(c_40199,plain,
( ( sdtpldt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtpldt0(xm,sdtpldt0(xl,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12780,c_67]) ).
tcf(c_40200,plain,
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(xm,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_12780,c_143]) ).
tcf(c_40201,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_12780,c_77]) ).
tcf(c_40202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0) ),
inference(superposition,[status(thm)],[c_12780,c_63]) ).
tcf(c_40203,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtpldt0(sdtpldt0(xl,xr),X0) != sdtpldt0(xm,sdtpldt0(xl,xr)) ) ),
inference(superposition,[status(thm)],[c_12780,c_69]) ).
tcf(c_40204,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sdtpldt0(sdtpldt0(xl,xr),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_12780,c_61]) ).
tcf(c_40205,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ doDivides0(X0,sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_12780,c_78]) ).
tcf(c_40206,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtpldt0(xm,sdtpldt0(xl,xr)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_12780,c_70]) ).
tcf(c_40207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xr),X0),sdtpldt0(xm,sdtpldt0(xl,xr)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_12780,c_61]) ).
tcf(c_40208,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xr)))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_12780,c_63]) ).
tcf(c_40209,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_40201,c_50,c_10141]) ).
tcf(c_40210,plain,
sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(xm,sdtpldt0(xl,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_40200,c_50,c_10141]) ).
tcf(c_40214,plain,
sdtpldt0(xm,sdtpldt0(xl,xr)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_40199,c_10146,c_50,c_10141]) ).
tcf(c_40215,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,xr)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40206,c_50,c_10141]) ).
tcf(c_40219,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40205,c_50,c_10141]) ).
tcf(c_40224,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xr),X0) != sdtpldt0(xm,sdtpldt0(xl,xr)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40203,c_50,c_10141]) ).
tcf(c_40228,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xr),X0),sdtpldt0(xm,sdtpldt0(xl,xr)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40207,c_50,c_10141]) ).
tcf(c_40233,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sdtpldt0(sdtpldt0(xl,xr),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40204,c_50,c_10141]) ).
tcf(c_40238,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xr)))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40208,c_50,c_10141]) ).
tcf(c_40243,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40202,c_50,c_10141]) ).
tcf(c_40254,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xr)),xr) = sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_40209,c_4999]) ).
tcf(c_40255,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),xr) = sdtasdt0(xr,sdtpldt0(xm,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_40209,c_4997]) ).
tcf(c_40256,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xl,xr))),xr) = sdtpldt0(xm,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_40209,c_4996]) ).
tcf(c_40257,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xr)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_40209,c_4945]) ).
tcf(c_40258,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_40209,c_4943]) ).
tcf(c_40259,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xr))),xq) = sdtpldt0(xm,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_40209,c_4942]) ).
tcf(c_40260,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xr)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_40209,c_4262]) ).
tcf(c_40261,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_40209,c_4260]) ).
tcf(c_40262,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,xr))),xp) = sdtpldt0(xm,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_40209,c_4259]) ).
tcf(c_40263,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xr))),xl) = sdtpldt0(xm,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_40209,c_4186]) ).
tcf(c_40264,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sdtpldt0(xm,sdtpldt0(xl,xr)))) = sdtpldt0(xm,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_40209,c_4041]) ).
tcf(c_40265,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sK0(sdtpldt0(xm,sdtpldt0(xl,xr)),sdtpldt0(xm,sdtpldt0(xl,xr)))) = sdtpldt0(xm,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_40209,c_3458]) ).
tcf(c_40266,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xr))),sz00) = sdtpldt0(xm,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_40209,c_3195]) ).
tcf(c_40267,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xr))),xn) = sdtpldt0(xm,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_40209,c_3190]) ).
tcf(c_40268,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xr))),xm) = sdtpldt0(xm,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_40209,c_3189]) ).
tcf(c_40269,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xr))),xl) = sdtpldt0(xm,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_40209,c_3188]) ).
tcf(c_40270,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_40209,c_3101]) ).
tcf(c_40271,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_40209,c_3096]) ).
tcf(c_40272,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_40209,c_3095]) ).
tcf(c_40273,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_40209,c_3094]) ).
tcf(c_40274,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_40209,c_2815]) ).
tcf(c_40275,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xr)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_40209,c_2811]) ).
tcf(c_40276,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xr)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_40209,c_2810]) ).
tcf(c_40277,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,xr))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40209,c_72]) ).
tcf(c_40278,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xr)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40209,c_71]) ).
tcf(c_40279,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,xr))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40209,c_105]) ).
tcf(c_40280,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,xr))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40209,c_75]) ).
tcf(c_40281,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,xr)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),X0),sdtpldt0(xm,sdtpldt0(xl,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40209,c_153]) ).
tcf(c_40282,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xr)),X0),sdtpldt0(xm,sdtpldt0(xl,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40209,c_146]) ).
tcf(c_40283,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40209,c_106]) ).
tcf(c_40284,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xr)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_40209,c_2809]) ).
tcf(c_40285,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xr)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40209,c_76]) ).
tcf(c_40286,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xr))) = sz00,
inference(superposition,[status(thm)],[c_40209,c_92]) ).
tcf(c_40287,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sz00) = sz00,
inference(superposition,[status(thm)],[c_40209,c_91]) ).
tcf(c_40288,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xr))) = sdtpldt0(xm,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_40209,c_74]) ).
tcf(c_40289,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sz00) = sdtpldt0(xm,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_40209,c_73]) ).
tcf(c_40424,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_40210,c_99]) ).
tcf(c_40425,plain,
( ( sdtpldt0(sdtpldt0(xl,xr),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sdtpldt0(xl,xr))) = sdtpldt0(xm,sdtpldt0(xl,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_40210,c_104]) ).
tcf(c_40426,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xr)) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_40210,c_100]) ).
tcf(c_40427,plain,
( ( sdtpldt0(sdtpldt0(xl,xr),sK0(sdtpldt0(xl,xr),sdtpldt0(xm,sdtpldt0(xl,xr)))) = sdtpldt0(xm,sdtpldt0(xl,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_40210,c_66]) ).
tcf(c_40428,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40424,c_10141,c_40209]) ).
tcf(c_40432,plain,
sdtpldt0(sdtpldt0(xl,xr),sK0(sdtpldt0(xl,xr),sdtpldt0(xm,sdtpldt0(xl,xr)))) = sdtpldt0(xm,sdtpldt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_40427,c_10141,c_40209]) ).
tcf(c_40433,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xr)) = sdtpldt0(xl,xr) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40426,c_10141,c_40209]) ).
tcf(c_40436,plain,
sdtpldt0(sdtpldt0(xl,xr),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sdtpldt0(xl,xr))) = sdtpldt0(xm,sdtpldt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_40425,c_10141,c_40209]) ).
tcf(c_40438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xr))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_40286,c_87]) ).
tcf(c_40441,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xr)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_40286,c_90]) ).
tcf(c_40447,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xr))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_40286,c_87]) ).
tcf(c_40450,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40441,c_40214,c_93,c_40209]) ).
tcf(c_40454,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xr))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40447,c_40214,c_93,c_40209]) ).
tcf(c_40459,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xr))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40438,c_40214,c_93,c_40209]) ).
tcf(c_40466,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_40287,c_85]) ).
tcf(c_40471,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xr)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_40287,c_140]) ).
tcf(c_40474,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xr)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_40287,c_89]) ).
tcf(c_40475,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_40287,c_85]) ).
tcf(c_40476,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xl,xr)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_40471,c_93,c_40209]) ).
tcf(c_40477,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40474,c_40214,c_93,c_40209]) ).
tcf(c_40481,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40475,c_40214,c_93,c_40209]) ).
tcf(c_40486,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40466,c_40214,c_93,c_40209]) ).
tcf(c_40491,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xr)))
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_40476,c_79]) ).
tcf(c_40492,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xr)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xr)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_40476,c_96]) ).
tcf(c_40493,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sK1(sdtpldt0(xm,sdtpldt0(xl,xr)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_40476,c_82]) ).
tcf(c_40494,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40491,c_93,c_40209]) ).
tcf(c_40498,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sK1(sdtpldt0(xm,sdtpldt0(xl,xr)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_40493,c_93,c_40209]) ).
tcf(c_40499,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xr)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xr)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_40492,c_40214,c_93,c_40209]) ).
tcf(c_40502,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12871,c_68]) ).
tcf(c_40503,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12871,c_67]) ).
tcf(c_40504,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xm,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12871,c_143]) ).
tcf(c_40505,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12871,c_77]) ).
tcf(c_40506,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sdtpldt0(X0,xm))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0) ),
inference(superposition,[status(thm)],[c_12871,c_63]) ).
tcf(c_40507,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),X0) != sdtpldt0(xm,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_12871,c_69]) ).
tcf(c_40508,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sdtpldt0(sdtpldt0(xm,xn),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12871,c_61]) ).
tcf(c_40509,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ doDivides0(X0,sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12871,c_78]) ).
tcf(c_40510,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_12871,c_70]) ).
tcf(c_40511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xn),X0),sdtpldt0(xm,sdtpldt0(xm,xn)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12871,c_61]) ).
tcf(c_40512,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12871,c_63]) ).
tcf(c_40513,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_40505,c_50,c_12823]) ).
tcf(c_40514,plain,
sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_40504,c_50,c_12823]) ).
tcf(c_40515,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40502,c_50,c_12823]) ).
tcf(c_40518,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40503,c_50,c_12823]) ).
tcf(c_40521,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40510,c_50,c_12823]) ).
tcf(c_40525,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40509,c_50,c_12823]) ).
tcf(c_40530,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xn),X0) != sdtpldt0(xm,sdtpldt0(xm,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40507,c_50,c_12823]) ).
tcf(c_40534,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xn),X0),sdtpldt0(xm,sdtpldt0(xm,xn)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40511,c_50,c_12823]) ).
tcf(c_40539,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sdtpldt0(sdtpldt0(xm,xn),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40508,c_50,c_12823]) ).
tcf(c_40544,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40512,c_50,c_12823]) ).
tcf(c_40549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sdtpldt0(X0,xm))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40506,c_50,c_12823]) ).
tcf(c_40560,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xr) = sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40513,c_4999]) ).
tcf(c_40561,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xr) = sdtasdt0(xr,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40513,c_4997]) ).
tcf(c_40562,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xm,xn))),xr) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40513,c_4996]) ).
tcf(c_40563,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40513,c_4945]) ).
tcf(c_40564,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40513,c_4943]) ).
tcf(c_40565,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xn))),xq) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40513,c_4942]) ).
tcf(c_40566,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40513,c_4262]) ).
tcf(c_40567,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40513,c_4260]) ).
tcf(c_40568,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xm,xn))),xp) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40513,c_4259]) ).
tcf(c_40569,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))),xl) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40513,c_4186]) ).
tcf(c_40570,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sdtpldt0(xm,sdtpldt0(xm,xn)))) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40513,c_4041]) ).
tcf(c_40571,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sK0(sdtpldt0(xm,sdtpldt0(xm,xn)),sdtpldt0(xm,sdtpldt0(xm,xn)))) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40513,c_3458]) ).
tcf(c_40572,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))),sz00) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40513,c_3195]) ).
tcf(c_40573,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))),xn) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40513,c_3190]) ).
tcf(c_40574,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))),xm) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40513,c_3189]) ).
tcf(c_40575,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))),xl) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40513,c_3188]) ).
tcf(c_40576,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40513,c_3101]) ).
tcf(c_40577,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40513,c_3096]) ).
tcf(c_40578,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40513,c_3095]) ).
tcf(c_40579,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40513,c_3094]) ).
tcf(c_40580,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40513,c_2815]) ).
tcf(c_40581,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40513,c_2811]) ).
tcf(c_40582,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40513,c_2810]) ).
tcf(c_40583,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xm,xn))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40513,c_72]) ).
tcf(c_40584,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xn)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40513,c_71]) ).
tcf(c_40585,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,sdtpldt0(xm,xn))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40513,c_105]) ).
tcf(c_40586,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xm,xn))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40513,c_75]) ).
tcf(c_40587,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0),sdtpldt0(xm,sdtpldt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40513,c_153]) ).
tcf(c_40588,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0),sdtpldt0(xm,sdtpldt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40513,c_146]) ).
tcf(c_40589,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40513,c_106]) ).
tcf(c_40590,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40513,c_2809]) ).
tcf(c_40591,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40513,c_76]) ).
tcf(c_40592,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_40513,c_92]) ).
tcf(c_40593,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_40513,c_91]) ).
tcf(c_40594,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40513,c_74]) ).
tcf(c_40595,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sz00) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40513,c_73]) ).
tcf(c_40706,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_40514,c_99]) ).
tcf(c_40707,plain,
( ( sdtpldt0(sdtpldt0(xm,xn),sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sdtpldt0(xm,xn))) = sdtpldt0(xm,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_40514,c_104]) ).
tcf(c_40708,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_40514,c_100]) ).
tcf(c_40709,plain,
( ( sdtpldt0(sdtpldt0(xm,xn),sK0(sdtpldt0(xm,xn),sdtpldt0(xm,sdtpldt0(xm,xn)))) = sdtpldt0(xm,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_40514,c_66]) ).
tcf(c_40710,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40706,c_12823,c_40513]) ).
tcf(c_40714,plain,
sdtpldt0(sdtpldt0(xm,xn),sK0(sdtpldt0(xm,xn),sdtpldt0(xm,sdtpldt0(xm,xn)))) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_40709,c_12823,c_40513]) ).
tcf(c_40715,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sdtpldt0(xm,xn) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40708,c_12823,c_40513]) ).
tcf(c_40718,plain,
sdtpldt0(sdtpldt0(xm,xn),sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sdtpldt0(xm,xn))) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_40707,c_12823,c_40513]) ).
tcf(c_40720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xn))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_40592,c_87]) ).
tcf(c_40723,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_40592,c_90]) ).
tcf(c_40729,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xn))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_40592,c_87]) ).
tcf(c_40732,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xn))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40723,c_93,c_40513]) ).
tcf(c_40737,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xn))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40729,c_93,c_40513]) ).
tcf(c_40743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xn))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40720,c_93,c_40513]) ).
tcf(c_40751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_40593,c_85]) ).
tcf(c_40756,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xm,xn)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_40593,c_140]) ).
tcf(c_40759,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_40593,c_89]) ).
tcf(c_40760,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_40593,c_85]) ).
tcf(c_40761,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xm,xn)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_40756,c_93,c_40513]) ).
tcf(c_40762,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40759,c_93,c_40513]) ).
tcf(c_40767,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40760,c_93,c_40513]) ).
tcf(c_40773,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40751,c_93,c_40513]) ).
tcf(c_40783,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10527,c_143]) ).
tcf(c_40785,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10527,c_63]) ).
tcf(c_40786,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_10527,c_69]) ).
tcf(c_40787,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(superposition,[status(thm)],[c_10527,c_61]) ).
tcf(c_40789,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) ) ),
inference(superposition,[status(thm)],[c_10527,c_70]) ).
tcf(c_40790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10527,c_61]) ).
tcf(c_40791,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10527,c_63]) ).
tcf(c_40792,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(forward_subsumption_resolution,[status(thm)],[c_40783,c_93,c_5245]) ).
tcf(c_40793,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40789,c_93,c_5245]) ).
tcf(c_40797,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(sz00,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40786,c_93,c_5245]) ).
tcf(c_40801,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40791,c_93,c_5245]) ).
tcf(c_40806,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40785,c_93,c_5245]) ).
tcf(c_40811,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40790,c_93,c_5245]) ).
tcf(c_40816,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40787,c_93,c_5245]) ).
tcf(c_40881,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn)))
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_40761,c_79]) ).
tcf(c_40882,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_40761,c_96]) ).
tcf(c_40883,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sK1(sdtpldt0(xm,sdtpldt0(xm,xn)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_40761,c_82]) ).
tcf(c_40884,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40881,c_93,c_40513]) ).
tcf(c_40888,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sK1(sdtpldt0(xm,sdtpldt0(xm,xn)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_40883,c_93,c_40513]) ).
tcf(c_40889,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40882,c_93,c_40513]) ).
tcf(c_40892,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_40792,c_99]) ).
tcf(c_40893,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00)) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_40792,c_104]) ).
tcf(c_40894,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(superposition,[status(thm)],[c_40792,c_100]) ).
tcf(c_40895,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_40792,c_66]) ).
tcf(c_40896,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40892,c_93,c_5245]) ).
tcf(c_40900,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_40895,c_93,c_5245]) ).
tcf(c_40901,plain,
~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_40894,c_5247,c_93,c_5245]) ).
tcf(c_40911,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12972,c_99]) ).
tcf(c_40912,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xm,xn),X0)) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12972,c_104]) ).
tcf(c_40913,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0) ),
inference(superposition,[status(thm)],[c_12972,c_100]) ).
tcf(c_40914,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12972,c_66]) ).
tcf(c_40915,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40914,c_12823]) ).
tcf(c_40919,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40913,c_12823]) ).
tcf(c_40924,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xm,xn),X0)) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40912,c_12823]) ).
tcf(c_40928,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40911,c_12823]) ).
tcf(c_40980,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xl,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12879,c_68]) ).
tcf(c_40982,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12879,c_143]) ).
tcf(c_40983,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12879,c_77]) ).
tcf(c_40984,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sdtpldt0(X0,xl))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0) ),
inference(superposition,[status(thm)],[c_12879,c_63]) ).
tcf(c_40985,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),X0) != sdtpldt0(xl,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_12879,c_69]) ).
tcf(c_40986,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sdtpldt0(sdtpldt0(xm,xn),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12879,c_61]) ).
tcf(c_40987,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ doDivides0(X0,sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12879,c_78]) ).
tcf(c_40988,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xl,sdtpldt0(xm,xn)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_12879,c_70]) ).
tcf(c_40989,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xn),X0),sdtpldt0(xl,sdtpldt0(xm,xn)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12879,c_61]) ).
tcf(c_40990,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_12879,c_63]) ).
tcf(c_40991,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_40983,c_49,c_12823]) ).
tcf(c_40992,plain,
sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_40982,c_49,c_12823]) ).
tcf(c_40993,plain,
sdtpldt0(xl,sdtpldt0(xm,xn)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_40980,c_54,c_49,c_12823]) ).
tcf(c_40994,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xm,xn)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40988,c_49,c_12823]) ).
tcf(c_40998,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40987,c_49,c_12823]) ).
tcf(c_41003,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xn),X0) != sdtpldt0(xl,sdtpldt0(xm,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40985,c_49,c_12823]) ).
tcf(c_41007,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xn),X0),sdtpldt0(xl,sdtpldt0(xm,xn)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40989,c_49,c_12823]) ).
tcf(c_41012,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sdtpldt0(sdtpldt0(xm,xn),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40986,c_49,c_12823]) ).
tcf(c_41017,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40990,c_49,c_12823]) ).
tcf(c_41022,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sdtpldt0(X0,xl))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40984,c_49,c_12823]) ).
tcf(c_41032,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xr) = sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40991,c_4999]) ).
tcf(c_41033,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xr) = sdtasdt0(xr,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40991,c_4997]) ).
tcf(c_41034,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xm,xn))),xr) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40991,c_4996]) ).
tcf(c_41035,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40991,c_4945]) ).
tcf(c_41036,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40991,c_4943]) ).
tcf(c_41037,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xn))),xq) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40991,c_4942]) ).
tcf(c_41038,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40991,c_4262]) ).
tcf(c_41039,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40991,c_4260]) ).
tcf(c_41040,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xm,xn))),xp) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40991,c_4259]) ).
tcf(c_41041,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))),xl) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40991,c_4186]) ).
tcf(c_41042,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sdtpldt0(xl,sdtpldt0(xm,xn)))) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40991,c_4041]) ).
tcf(c_41043,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sK0(sdtpldt0(xl,sdtpldt0(xm,xn)),sdtpldt0(xl,sdtpldt0(xm,xn)))) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40991,c_3458]) ).
tcf(c_41044,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))),sz00) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40991,c_3195]) ).
tcf(c_41045,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))),xn) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40991,c_3190]) ).
tcf(c_41046,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))),xm) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40991,c_3189]) ).
tcf(c_41047,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))),xl) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40991,c_3188]) ).
tcf(c_41048,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40991,c_3101]) ).
tcf(c_41049,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40991,c_3096]) ).
tcf(c_41050,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40991,c_3095]) ).
tcf(c_41051,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40991,c_3094]) ).
tcf(c_41052,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40991,c_2815]) ).
tcf(c_41053,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40991,c_2811]) ).
tcf(c_41054,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40991,c_2810]) ).
tcf(c_41055,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xm,xn))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40991,c_72]) ).
tcf(c_41056,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xn)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40991,c_71]) ).
tcf(c_41057,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,sdtpldt0(xm,xn))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40991,c_105]) ).
tcf(c_41058,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xm,xn))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40991,c_75]) ).
tcf(c_41059,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0),sdtpldt0(xl,sdtpldt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40991,c_153]) ).
tcf(c_41060,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0),sdtpldt0(xl,sdtpldt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40991,c_146]) ).
tcf(c_41061,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40991,c_106]) ).
tcf(c_41062,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_40991,c_2809]) ).
tcf(c_41063,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40991,c_76]) ).
tcf(c_41064,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_40991,c_92]) ).
tcf(c_41065,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_40991,c_91]) ).
tcf(c_41066,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40991,c_74]) ).
tcf(c_41067,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sz00) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_40991,c_73]) ).
tcf(c_41183,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_40992,c_99]) ).
tcf(c_41184,plain,
( ( sdtpldt0(sdtpldt0(xm,xn),sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sdtpldt0(xm,xn))) = sdtpldt0(xl,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_40992,c_104]) ).
tcf(c_41185,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xn)) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_40992,c_100]) ).
tcf(c_41186,plain,
( ( sdtpldt0(sdtpldt0(xm,xn),sK0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtpldt0(xm,xn)))) = sdtpldt0(xl,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_40992,c_66]) ).
tcf(c_41187,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41183,c_12823,c_40991]) ).
tcf(c_41191,plain,
sdtpldt0(sdtpldt0(xm,xn),sK0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtpldt0(xm,xn)))) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_41186,c_12823,c_40991]) ).
tcf(c_41192,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xn)) = sdtpldt0(xm,xn) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41185,c_12823,c_40991]) ).
tcf(c_41195,plain,
sdtpldt0(sdtpldt0(xm,xn),sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sdtpldt0(xm,xn))) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_41184,c_12823,c_40991]) ).
tcf(c_41197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xn))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_41064,c_87]) ).
tcf(c_41200,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_41064,c_90]) ).
tcf(c_41206,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xn))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_41064,c_87]) ).
tcf(c_41209,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xn))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41200,c_40993,c_93,c_40991]) ).
tcf(c_41213,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41206,c_40993,c_93,c_40991]) ).
tcf(c_41218,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xn))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41197,c_40993,c_93,c_40991]) ).
tcf(c_41225,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_41065,c_85]) ).
tcf(c_41230,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xm,xn)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_41065,c_140]) ).
tcf(c_41233,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_41065,c_89]) ).
tcf(c_41234,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_41065,c_85]) ).
tcf(c_41235,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xm,xn)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_41230,c_93,c_40991]) ).
tcf(c_41236,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41233,c_40993,c_93,c_40991]) ).
tcf(c_41240,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41234,c_40993,c_93,c_40991]) ).
tcf(c_41245,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41225,c_40993,c_93,c_40991]) ).
tcf(c_41269,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_41235,c_79]) ).
tcf(c_41270,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_41235,c_96]) ).
tcf(c_41271,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sK1(sdtpldt0(xl,sdtpldt0(xm,xn)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_41235,c_82]) ).
tcf(c_41272,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41269,c_93,c_40991]) ).
tcf(c_41276,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sK1(sdtpldt0(xl,sdtpldt0(xm,xn)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_41271,c_93,c_40991]) ).
tcf(c_41277,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_41270,c_40993,c_93,c_40991]) ).
tcf(c_41280,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13120,c_68]) ).
tcf(c_41281,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13120,c_67]) ).
tcf(c_41282,plain,
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(xm,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13120,c_143]) ).
tcf(c_41283,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13120,c_77]) ).
tcf(c_41284,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sdtpldt0(X0,xm))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_13120,c_63]) ).
tcf(c_41285,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(sdtpldt0(xm,xr),X0) != sdtpldt0(xm,sdtpldt0(xm,xr)) ) ),
inference(superposition,[status(thm)],[c_13120,c_69]) ).
tcf(c_41286,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sdtpldt0(sdtpldt0(xm,xr),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13120,c_61]) ).
tcf(c_41287,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ doDivides0(X0,sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13120,c_78]) ).
tcf(c_41288,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_13120,c_70]) ).
tcf(c_41289,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),X0),sdtpldt0(xm,sdtpldt0(xm,xr)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13120,c_61]) ).
tcf(c_41290,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xm,xr)))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13120,c_63]) ).
tcf(c_41291,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_41283,c_50,c_12990]) ).
tcf(c_41292,plain,
sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(xm,sdtpldt0(xm,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_41282,c_50,c_12990]) ).
tcf(c_41293,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41280,c_50,c_12990]) ).
tcf(c_41296,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41281,c_50,c_12990]) ).
tcf(c_41299,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41288,c_50,c_12990]) ).
tcf(c_41303,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41287,c_50,c_12990]) ).
tcf(c_41308,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xr),X0) != sdtpldt0(xm,sdtpldt0(xm,xr)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41285,c_50,c_12990]) ).
tcf(c_41312,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),X0),sdtpldt0(xm,sdtpldt0(xm,xr)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41289,c_50,c_12990]) ).
tcf(c_41317,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sdtpldt0(sdtpldt0(xm,xr),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41286,c_50,c_12990]) ).
tcf(c_41322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xm,xr)))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41290,c_50,c_12990]) ).
tcf(c_41327,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sdtpldt0(X0,xm))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41284,c_50,c_12990]) ).
tcf(c_41393,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xr)),xr) = sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_41291,c_4999]) ).
tcf(c_41394,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),xr) = sdtasdt0(xr,sdtpldt0(xm,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_41291,c_4997]) ).
tcf(c_41395,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xm,xr))),xr) = sdtpldt0(xm,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_41291,c_4996]) ).
tcf(c_41396,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xr)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_41291,c_4945]) ).
tcf(c_41397,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_41291,c_4943]) ).
tcf(c_41398,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xr))),xq) = sdtpldt0(xm,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_41291,c_4942]) ).
tcf(c_41399,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xr)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_41291,c_4262]) ).
tcf(c_41400,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_41291,c_4260]) ).
tcf(c_41401,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xm,xr))),xp) = sdtpldt0(xm,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_41291,c_4259]) ).
tcf(c_41402,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xr))),xl) = sdtpldt0(xm,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_41291,c_4186]) ).
tcf(c_41403,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sdtpldt0(xm,sdtpldt0(xm,xr)))) = sdtpldt0(xm,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_41291,c_4041]) ).
tcf(c_41404,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sK0(sdtpldt0(xm,sdtpldt0(xm,xr)),sdtpldt0(xm,sdtpldt0(xm,xr)))) = sdtpldt0(xm,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_41291,c_3458]) ).
tcf(c_41405,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xr))),sz00) = sdtpldt0(xm,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_41291,c_3195]) ).
tcf(c_41406,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xr))),xn) = sdtpldt0(xm,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_41291,c_3190]) ).
tcf(c_41407,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xr))),xm) = sdtpldt0(xm,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_41291,c_3189]) ).
tcf(c_41408,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xr))),xl) = sdtpldt0(xm,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_41291,c_3188]) ).
tcf(c_41409,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_41291,c_3101]) ).
tcf(c_41410,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_41291,c_3096]) ).
tcf(c_41411,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_41291,c_3095]) ).
tcf(c_41412,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_41291,c_3094]) ).
tcf(c_41413,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_41291,c_2815]) ).
tcf(c_41414,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xr)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_41291,c_2811]) ).
tcf(c_41415,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xr)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_41291,c_2810]) ).
tcf(c_41416,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xm,xr))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41291,c_72]) ).
tcf(c_41417,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xr)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xm,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41291,c_71]) ).
tcf(c_41418,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,sdtpldt0(xm,xr))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xm,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41291,c_105]) ).
tcf(c_41419,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xm,xr))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xm,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41291,c_75]) ).
tcf(c_41420,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),X0),sdtpldt0(xm,sdtpldt0(xm,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41291,c_153]) ).
tcf(c_41421,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xr)),X0),sdtpldt0(xm,sdtpldt0(xm,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41291,c_146]) ).
tcf(c_41422,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41291,c_106]) ).
tcf(c_41423,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xr)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_41291,c_2809]) ).
tcf(c_41424,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xr)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xm,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41291,c_76]) ).
tcf(c_41425,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xr))) = sz00,
inference(superposition,[status(thm)],[c_41291,c_92]) ).
tcf(c_41426,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sz00) = sz00,
inference(superposition,[status(thm)],[c_41291,c_91]) ).
tcf(c_41427,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xr))) = sdtpldt0(xm,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_41291,c_74]) ).
tcf(c_41428,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sz00) = sdtpldt0(xm,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_41291,c_73]) ).
tcf(c_41709,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_41292,c_99]) ).
tcf(c_41710,plain,
( ( sdtpldt0(sdtpldt0(xm,xr),sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sdtpldt0(xm,xr))) = sdtpldt0(xm,sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_41292,c_104]) ).
tcf(c_41711,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xr)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_41292,c_100]) ).
tcf(c_41712,plain,
( ( sdtpldt0(sdtpldt0(xm,xr),sK0(sdtpldt0(xm,xr),sdtpldt0(xm,sdtpldt0(xm,xr)))) = sdtpldt0(xm,sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_41292,c_66]) ).
tcf(c_41713,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41709,c_12990,c_41291]) ).
tcf(c_41717,plain,
sdtpldt0(sdtpldt0(xm,xr),sK0(sdtpldt0(xm,xr),sdtpldt0(xm,sdtpldt0(xm,xr)))) = sdtpldt0(xm,sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_41712,c_12990,c_41291]) ).
tcf(c_41718,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sdtpldt0(xm,xr) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41711,c_12990,c_41291]) ).
tcf(c_41721,plain,
sdtpldt0(sdtpldt0(xm,xr),sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sdtpldt0(xm,xr))) = sdtpldt0(xm,sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_41710,c_12990,c_41291]) ).
tcf(c_41754,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xr))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_41425,c_87]) ).
tcf(c_41757,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xr)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_41425,c_90]) ).
tcf(c_41763,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xr))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_41425,c_87]) ).
tcf(c_41766,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41757,c_93,c_41291]) ).
tcf(c_41771,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xr))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41763,c_93,c_41291]) ).
tcf(c_41777,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xr))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41754,c_93,c_41291]) ).
tcf(c_41843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_41426,c_85]) ).
tcf(c_41848,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xm,xr)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_41426,c_140]) ).
tcf(c_41851,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xr)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_41426,c_89]) ).
tcf(c_41852,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_41426,c_85]) ).
tcf(c_41853,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xm,xr)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_41848,c_93,c_41291]) ).
tcf(c_41854,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41851,c_93,c_41291]) ).
tcf(c_41859,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41852,c_93,c_41291]) ).
tcf(c_41865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41843,c_93,c_41291]) ).
tcf(c_41875,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10528,c_143]) ).
tcf(c_41877,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(superposition,[status(thm)],[c_10528,c_63]) ).
tcf(c_41878,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) ) ),
inference(superposition,[status(thm)],[c_10528,c_69]) ).
tcf(c_41879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10528,c_61]) ).
tcf(c_41881,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_10528,c_70]) ).
tcf(c_41882,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10528,c_61]) ).
tcf(c_41883,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_10528,c_63]) ).
tcf(c_41884,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(forward_subsumption_resolution,[status(thm)],[c_41875,c_93,c_5245]) ).
tcf(c_41885,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(X0,sz00) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41881,c_93,c_5245]) ).
tcf(c_41889,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41878,c_93,c_5245]) ).
tcf(c_41893,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41882,c_93,c_5245]) ).
tcf(c_41898,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41879,c_93,c_5245]) ).
tcf(c_41903,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41883,c_93,c_5245]) ).
tcf(c_41908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41877,c_93,c_5245]) ).
tcf(c_42041,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xr)))
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_41853,c_79]) ).
tcf(c_42042,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xr)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_41853,c_96]) ).
tcf(c_42043,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sK1(sdtpldt0(xm,sdtpldt0(xm,xr)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_41853,c_82]) ).
tcf(c_42044,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42041,c_93,c_41291]) ).
tcf(c_42048,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sK1(sdtpldt0(xm,sdtpldt0(xm,xr)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_42043,c_93,c_41291]) ).
tcf(c_42049,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xr)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xr)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xr)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42042,c_93,c_41291]) ).
tcf(c_42054,plain,
( ( sK0(xr,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr)))
| ( sdtpldt0(xm,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_13167,c_68]) ).
tcf(c_42055,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr)))
| ( sdtpldt0(xm,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_13167,c_67]) ).
tcf(c_42058,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(X0,sK0(xr,sdtpldt0(xm,xr))))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_13167,c_63]) ).
tcf(c_42059,plain,
! [X0: $i] :
( ( sK0(xr,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr)))
| ( sdtpldt0(xr,X0) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_13167,c_69]) ).
tcf(c_42060,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(xr,X0))
| ( sK0(xr,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr)))
| ~ sdtlseqdt0(sK0(xr,sdtpldt0(xm,xr)),X0) ),
inference(superposition,[status(thm)],[c_13167,c_61]) ).
tcf(c_42061,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr)))
| ~ doDivides0(X0,sK0(xr,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_13167,c_78]) ).
tcf(c_42062,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr)))
| ( sdtpldt0(X0,sK0(xr,sdtpldt0(xm,xr))) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_13167,c_70]) ).
tcf(c_42063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xm,xr))
| ( sK0(xr,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr)))
| ~ sdtlseqdt0(X0,sK0(xr,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_13167,c_61]) ).
tcf(c_42064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,sdtpldt0(xm,xr))),sdtpldt0(xm,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_13167,c_63]) ).
tcf(c_42065,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr)))
| ( sdtpldt0(xm,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42055,c_4939]) ).
tcf(c_42069,plain,
( ( sK0(xr,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr)))
| ( sdtpldt0(xm,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42054,c_4939]) ).
tcf(c_42073,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr)))
| ( sdtpldt0(X0,sK0(xr,sdtpldt0(xm,xr))) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42062,c_4939]) ).
tcf(c_42078,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr)))
| ~ doDivides0(X0,sK0(xr,sdtpldt0(xm,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42061,c_4939]) ).
tcf(c_42084,plain,
! [X0: $i] :
( ( sK0(xr,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr)))
| ( sdtpldt0(xr,X0) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42059,c_4939]) ).
tcf(c_42089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,sdtpldt0(xm,xr))),sdtpldt0(xm,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42064,c_4939]) ).
tcf(c_42095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(X0,sK0(xr,sdtpldt0(xm,xr))))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42058,c_4939]) ).
tcf(c_42101,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xm,xr))
| ( sK0(xr,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr)))
| ~ sdtlseqdt0(X0,sK0(xr,sdtpldt0(xm,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42063,c_4939]) ).
tcf(c_42107,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(xr,X0))
| ( sK0(xr,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xm,xr)))
| ~ sdtlseqdt0(sK0(xr,sdtpldt0(xm,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42060,c_4939]) ).
tcf(c_42129,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(xl,sdtpldt0(xm,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13128,c_68]) ).
tcf(c_42131,plain,
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(xl,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13128,c_143]) ).
tcf(c_42132,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13128,c_77]) ).
tcf(c_42133,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sdtpldt0(X0,xl))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_13128,c_63]) ).
tcf(c_42134,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(sdtpldt0(xm,xr),X0) != sdtpldt0(xl,sdtpldt0(xm,xr)) ) ),
inference(superposition,[status(thm)],[c_13128,c_69]) ).
tcf(c_42135,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sdtpldt0(sdtpldt0(xm,xr),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13128,c_61]) ).
tcf(c_42136,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ doDivides0(X0,sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13128,c_78]) ).
tcf(c_42137,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(xl,sdtpldt0(xm,xr)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_13128,c_70]) ).
tcf(c_42138,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),X0),sdtpldt0(xl,sdtpldt0(xm,xr)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13128,c_61]) ).
tcf(c_42139,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xm,xr)))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13128,c_63]) ).
tcf(c_42140,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_42132,c_49,c_12990]) ).
tcf(c_42141,plain,
sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(xl,sdtpldt0(xm,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_42131,c_49,c_12990]) ).
tcf(c_42142,plain,
sdtpldt0(xl,sdtpldt0(xm,xr)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_42129,c_54,c_49,c_12990]) ).
tcf(c_42143,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xm,xr)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42137,c_49,c_12990]) ).
tcf(c_42147,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42136,c_49,c_12990]) ).
tcf(c_42152,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xr),X0) != sdtpldt0(xl,sdtpldt0(xm,xr)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42134,c_49,c_12990]) ).
tcf(c_42156,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),X0),sdtpldt0(xl,sdtpldt0(xm,xr)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42138,c_49,c_12990]) ).
tcf(c_42161,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sdtpldt0(sdtpldt0(xm,xr),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42135,c_49,c_12990]) ).
tcf(c_42166,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xm,xr)))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42139,c_49,c_12990]) ).
tcf(c_42171,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sdtpldt0(X0,xl))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42133,c_49,c_12990]) ).
tcf(c_42181,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xr)),xr) = sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_42140,c_4999]) ).
tcf(c_42182,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),xr) = sdtasdt0(xr,sdtpldt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_42140,c_4997]) ).
tcf(c_42183,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xm,xr))),xr) = sdtpldt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_42140,c_4996]) ).
tcf(c_42184,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xr)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_42140,c_4945]) ).
tcf(c_42185,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_42140,c_4943]) ).
tcf(c_42186,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xr))),xq) = sdtpldt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_42140,c_4942]) ).
tcf(c_42187,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xr)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_42140,c_4262]) ).
tcf(c_42188,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_42140,c_4260]) ).
tcf(c_42189,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xm,xr))),xp) = sdtpldt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_42140,c_4259]) ).
tcf(c_42190,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xr))),xl) = sdtpldt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_42140,c_4186]) ).
tcf(c_42191,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sdtpldt0(xl,sdtpldt0(xm,xr)))) = sdtpldt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_42140,c_4041]) ).
tcf(c_42192,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sK0(sdtpldt0(xl,sdtpldt0(xm,xr)),sdtpldt0(xl,sdtpldt0(xm,xr)))) = sdtpldt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_42140,c_3458]) ).
tcf(c_42193,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xr))),sz00) = sdtpldt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_42140,c_3195]) ).
tcf(c_42194,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xr))),xn) = sdtpldt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_42140,c_3190]) ).
tcf(c_42195,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xr))),xm) = sdtpldt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_42140,c_3189]) ).
tcf(c_42196,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xr))),xl) = sdtpldt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_42140,c_3188]) ).
tcf(c_42197,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_42140,c_3101]) ).
tcf(c_42198,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_42140,c_3096]) ).
tcf(c_42199,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_42140,c_3095]) ).
tcf(c_42200,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_42140,c_3094]) ).
tcf(c_42201,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_42140,c_2815]) ).
tcf(c_42202,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xr)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_42140,c_2811]) ).
tcf(c_42203,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xr)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_42140,c_2810]) ).
tcf(c_42204,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xm,xr))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42140,c_72]) ).
tcf(c_42205,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xr)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xm,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42140,c_71]) ).
tcf(c_42206,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,sdtpldt0(xm,xr))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xm,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42140,c_105]) ).
tcf(c_42207,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xm,xr))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xm,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42140,c_75]) ).
tcf(c_42208,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),X0),sdtpldt0(xl,sdtpldt0(xm,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42140,c_153]) ).
tcf(c_42209,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xr)),X0),sdtpldt0(xl,sdtpldt0(xm,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42140,c_146]) ).
tcf(c_42210,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42140,c_106]) ).
tcf(c_42211,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xr)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_42140,c_2809]) ).
tcf(c_42212,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xr)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xm,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42140,c_76]) ).
tcf(c_42213,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xr))) = sz00,
inference(superposition,[status(thm)],[c_42140,c_92]) ).
tcf(c_42214,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sz00) = sz00,
inference(superposition,[status(thm)],[c_42140,c_91]) ).
tcf(c_42215,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xr))) = sdtpldt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_42140,c_74]) ).
tcf(c_42216,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sz00) = sdtpldt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_42140,c_73]) ).
tcf(c_42323,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_42141,c_99]) ).
tcf(c_42324,plain,
( ( sdtpldt0(sdtpldt0(xm,xr),sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sdtpldt0(xm,xr))) = sdtpldt0(xl,sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_42141,c_104]) ).
tcf(c_42325,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xr)) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xr)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_42141,c_100]) ).
tcf(c_42326,plain,
( ( sdtpldt0(sdtpldt0(xm,xr),sK0(sdtpldt0(xm,xr),sdtpldt0(xl,sdtpldt0(xm,xr)))) = sdtpldt0(xl,sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_42141,c_66]) ).
tcf(c_42327,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42323,c_12990,c_42140]) ).
tcf(c_42331,plain,
sdtpldt0(sdtpldt0(xm,xr),sK0(sdtpldt0(xm,xr),sdtpldt0(xl,sdtpldt0(xm,xr)))) = sdtpldt0(xl,sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_42326,c_12990,c_42140]) ).
tcf(c_42332,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xr)) = sdtpldt0(xm,xr) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42325,c_12990,c_42140]) ).
tcf(c_42335,plain,
sdtpldt0(sdtpldt0(xm,xr),sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sdtpldt0(xm,xr))) = sdtpldt0(xl,sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_42324,c_12990,c_42140]) ).
tcf(c_42337,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xr))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_42213,c_87]) ).
tcf(c_42340,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xr)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_42213,c_90]) ).
tcf(c_42346,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xr))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_42213,c_87]) ).
tcf(c_42349,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42340,c_42142,c_93,c_42140]) ).
tcf(c_42353,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xr))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42346,c_42142,c_93,c_42140]) ).
tcf(c_42358,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xr))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42337,c_42142,c_93,c_42140]) ).
tcf(c_42371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_42214,c_85]) ).
tcf(c_42376,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xm,xr)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_42214,c_140]) ).
tcf(c_42379,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xr)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_42214,c_89]) ).
tcf(c_42380,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_42214,c_85]) ).
tcf(c_42381,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xm,xr)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_42376,c_93,c_42140]) ).
tcf(c_42382,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42379,c_42142,c_93,c_42140]) ).
tcf(c_42386,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42380,c_42142,c_93,c_42140]) ).
tcf(c_42391,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42371,c_42142,c_93,c_42140]) ).
tcf(c_42486,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xr)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_42381,c_79]) ).
tcf(c_42487,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xr)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_42381,c_96]) ).
tcf(c_42488,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sK1(sdtpldt0(xl,sdtpldt0(xm,xr)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_42381,c_82]) ).
tcf(c_42489,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42486,c_93,c_42140]) ).
tcf(c_42493,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sK1(sdtpldt0(xl,sdtpldt0(xm,xr)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_42488,c_93,c_42140]) ).
tcf(c_42494,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xr)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xr)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_42487,c_42142,c_93,c_42140]) ).
tcf(c_42501,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13172,c_99]) ).
tcf(c_42502,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xm,xr),X0)) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13172,c_104]) ).
tcf(c_42503,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_13172,c_100]) ).
tcf(c_42504,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xm,xr))) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_13172,c_66]) ).
tcf(c_42505,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xm,xr))) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42504,c_12990]) ).
tcf(c_42509,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42503,c_12990]) ).
tcf(c_42514,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xm,xr),X0)) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42502,c_12990]) ).
tcf(c_42518,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42501,c_12990]) ).
tcf(c_42526,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13286,c_68]) ).
tcf(c_42527,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13286,c_67]) ).
tcf(c_42528,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13286,c_143]) ).
tcf(c_42529,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13286,c_77]) ).
tcf(c_42530,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(X0,xm))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_13286,c_63]) ).
tcf(c_42531,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(sdtpldt0(xm,xp),X0) != sdtpldt0(xm,sdtpldt0(xm,xp)) ) ),
inference(superposition,[status(thm)],[c_13286,c_69]) ).
tcf(c_42532,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xm,xp),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13286,c_61]) ).
tcf(c_42533,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ doDivides0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13286,c_78]) ).
tcf(c_42534,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_13286,c_70]) ).
tcf(c_42535,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sdtpldt0(xm,sdtpldt0(xm,xp)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13286,c_61]) ).
tcf(c_42536,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13286,c_63]) ).
tcf(c_42537,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_42529,c_50,c_13190]) ).
tcf(c_42538,plain,
sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_42528,c_50,c_13190]) ).
tcf(c_42539,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42526,c_50,c_13190]) ).
tcf(c_42542,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42527,c_50,c_13190]) ).
tcf(c_42545,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42534,c_50,c_13190]) ).
tcf(c_42549,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42533,c_50,c_13190]) ).
tcf(c_42554,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xp),X0) != sdtpldt0(xm,sdtpldt0(xm,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42531,c_50,c_13190]) ).
tcf(c_42558,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sdtpldt0(xm,sdtpldt0(xm,xp)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42535,c_50,c_13190]) ).
tcf(c_42563,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xm,xp),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42532,c_50,c_13190]) ).
tcf(c_42568,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42536,c_50,c_13190]) ).
tcf(c_42573,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(X0,xm))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42530,c_50,c_13190]) ).
tcf(c_42637,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xr) = sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_42537,c_4999]) ).
tcf(c_42638,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xr) = sdtasdt0(xr,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_42537,c_4997]) ).
tcf(c_42639,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xm,xp))),xr) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_42537,c_4996]) ).
tcf(c_42640,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_42537,c_4945]) ).
tcf(c_42641,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_42537,c_4943]) ).
tcf(c_42642,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xp))),xq) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_42537,c_4942]) ).
tcf(c_42643,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_42537,c_4262]) ).
tcf(c_42644,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_42537,c_4260]) ).
tcf(c_42645,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xm,xp))),xp) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_42537,c_4259]) ).
tcf(c_42646,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xp))),xl) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_42537,c_4186]) ).
tcf(c_42647,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(xm,sdtpldt0(xm,xp)))) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_42537,c_4041]) ).
tcf(c_42648,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sK0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(xm,sdtpldt0(xm,xp)))) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_42537,c_3458]) ).
tcf(c_42649,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp))),sz00) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_42537,c_3195]) ).
tcf(c_42650,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xp))),xn) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_42537,c_3190]) ).
tcf(c_42651,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xp))),xm) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_42537,c_3189]) ).
tcf(c_42652,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xp))),xl) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_42537,c_3188]) ).
tcf(c_42653,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_42537,c_3101]) ).
tcf(c_42654,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_42537,c_3096]) ).
tcf(c_42655,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_42537,c_3095]) ).
tcf(c_42656,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_42537,c_3094]) ).
tcf(c_42657,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_42537,c_2815]) ).
tcf(c_42658,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_42537,c_2811]) ).
tcf(c_42659,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_42537,c_2810]) ).
tcf(c_42660,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xm,xp))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42537,c_72]) ).
tcf(c_42661,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42537,c_71]) ).
tcf(c_42662,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,sdtpldt0(xm,xp))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42537,c_105]) ).
tcf(c_42663,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xm,xp))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42537,c_75]) ).
tcf(c_42664,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0),sdtpldt0(xm,sdtpldt0(xm,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42537,c_153]) ).
tcf(c_42665,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0),sdtpldt0(xm,sdtpldt0(xm,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42537,c_146]) ).
tcf(c_42666,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42537,c_106]) ).
tcf(c_42667,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_42537,c_2809]) ).
tcf(c_42668,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42537,c_76]) ).
tcf(c_42669,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp))) = sz00,
inference(superposition,[status(thm)],[c_42537,c_92]) ).
tcf(c_42670,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) = sz00,
inference(superposition,[status(thm)],[c_42537,c_91]) ).
tcf(c_42671,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp))) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_42537,c_74]) ).
tcf(c_42672,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_42537,c_73]) ).
tcf(c_42816,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_42538,c_99]) ).
tcf(c_42817,plain,
( ( sdtpldt0(sdtpldt0(xm,xp),sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(xm,xp))) = sdtpldt0(xm,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_42538,c_104]) ).
tcf(c_42818,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_42538,c_100]) ).
tcf(c_42819,plain,
( ( sdtpldt0(sdtpldt0(xm,xp),sK0(sdtpldt0(xm,xp),sdtpldt0(xm,sdtpldt0(xm,xp)))) = sdtpldt0(xm,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_42538,c_66]) ).
tcf(c_42820,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42816,c_13190,c_42537]) ).
tcf(c_42824,plain,
sdtpldt0(sdtpldt0(xm,xp),sK0(sdtpldt0(xm,xp),sdtpldt0(xm,sdtpldt0(xm,xp)))) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_42819,c_13190,c_42537]) ).
tcf(c_42825,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sdtpldt0(xm,xp) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42818,c_13190,c_42537]) ).
tcf(c_42828,plain,
sdtpldt0(sdtpldt0(xm,xp),sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(xm,xp))) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_42817,c_13190,c_42537]) ).
tcf(c_42830,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_42669,c_87]) ).
tcf(c_42833,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_42669,c_90]) ).
tcf(c_42839,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_42669,c_87]) ).
tcf(c_42842,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42833,c_93,c_42537]) ).
tcf(c_42847,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42839,c_93,c_42537]) ).
tcf(c_42853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42830,c_93,c_42537]) ).
tcf(c_42865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_11519,c_63]) ).
tcf(c_42866,plain,
! [X0: $i] :
( ( sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_11519,c_69]) ).
tcf(c_42867,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),X0) ),
inference(superposition,[status(thm)],[c_11519,c_61]) ).
tcf(c_42868,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ doDivides0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_11519,c_78]) ).
tcf(c_42869,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtpldt0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_11519,c_70]) ).
tcf(c_42870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_11519,c_61]) ).
tcf(c_42871,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_11519,c_63]) ).
tcf(c_42872,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtpldt0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42869,c_2971]) ).
tcf(c_42877,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ doDivides0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42868,c_2971]) ).
tcf(c_42883,plain,
! [X0: $i] :
( ( sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42866,c_2971]) ).
tcf(c_42888,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42871,c_2971]) ).
tcf(c_42894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42865,c_2971]) ).
tcf(c_42900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42870,c_2971]) ).
tcf(c_42906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(sK0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42867,c_2971]) ).
tcf(c_42920,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_42670,c_85]) ).
tcf(c_42925,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_42670,c_140]) ).
tcf(c_42928,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_42670,c_89]) ).
tcf(c_42929,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_42670,c_85]) ).
tcf(c_42930,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_42925,c_93,c_42537]) ).
tcf(c_42931,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42928,c_93,c_42537]) ).
tcf(c_42936,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42929,c_93,c_42537]) ).
tcf(c_42942,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42920,c_93,c_42537]) ).
tcf(c_43001,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_42930,c_79]) ).
tcf(c_43002,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_42930,c_96]) ).
tcf(c_43003,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sK1(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_42930,c_82]) ).
tcf(c_43004,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43001,c_93,c_42537]) ).
tcf(c_43008,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sK1(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_43003,c_93,c_42537]) ).
tcf(c_43009,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43002,c_93,c_42537]) ).
tcf(c_43014,plain,
( ( sK0(xp,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_13351,c_68]) ).
tcf(c_43015,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_13351,c_67]) ).
tcf(c_43018,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,sK0(xp,sdtpldt0(xm,xp))))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_13351,c_63]) ).
tcf(c_43019,plain,
! [X0: $i] :
( ( sK0(xp,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp)))
| ( sdtpldt0(xp,X0) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_13351,c_69]) ).
tcf(c_43020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xp,X0))
| ( sK0(xp,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sK0(xp,sdtpldt0(xm,xp)),X0) ),
inference(superposition,[status(thm)],[c_13351,c_61]) ).
tcf(c_43021,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp)))
| ~ doDivides0(X0,sK0(xp,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_13351,c_78]) ).
tcf(c_43022,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp)))
| ( sdtpldt0(X0,sK0(xp,sdtpldt0(xm,xp))) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_13351,c_70]) ).
tcf(c_43023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xm,xp))
| ( sK0(xp,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(X0,sK0(xp,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_13351,c_61]) ).
tcf(c_43024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,sdtpldt0(xm,xp))),sdtpldt0(xm,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_13351,c_63]) ).
tcf(c_43025,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43015,c_3837]) ).
tcf(c_43029,plain,
( ( sK0(xp,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43014,c_3837]) ).
tcf(c_43033,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp)))
| ( sdtpldt0(X0,sK0(xp,sdtpldt0(xm,xp))) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43022,c_3837]) ).
tcf(c_43038,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp)))
| ~ doDivides0(X0,sK0(xp,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43021,c_3837]) ).
tcf(c_43044,plain,
! [X0: $i] :
( ( sK0(xp,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp)))
| ( sdtpldt0(xp,X0) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43019,c_3837]) ).
tcf(c_43049,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,sdtpldt0(xm,xp))),sdtpldt0(xm,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43024,c_3837]) ).
tcf(c_43055,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,sK0(xp,sdtpldt0(xm,xp))))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43018,c_3837]) ).
tcf(c_43061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xm,xp))
| ( sK0(xp,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(X0,sK0(xp,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43023,c_3837]) ).
tcf(c_43067,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xp,X0))
| ( sK0(xp,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sK0(xp,sdtpldt0(xm,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43020,c_3837]) ).
tcf(c_43088,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13294,c_68]) ).
tcf(c_43090,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13294,c_143]) ).
tcf(c_43091,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13294,c_77]) ).
tcf(c_43092,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(X0,xl))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_13294,c_63]) ).
tcf(c_43093,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(sdtpldt0(xm,xp),X0) != sdtpldt0(xl,sdtpldt0(xm,xp)) ) ),
inference(superposition,[status(thm)],[c_13294,c_69]) ).
tcf(c_43094,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xm,xp),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13294,c_61]) ).
tcf(c_43095,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ doDivides0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13294,c_78]) ).
tcf(c_43096,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_13294,c_70]) ).
tcf(c_43097,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sdtpldt0(xl,sdtpldt0(xm,xp)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13294,c_61]) ).
tcf(c_43098,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13294,c_63]) ).
tcf(c_43099,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_43091,c_49,c_13190]) ).
tcf(c_43100,plain,
sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_43090,c_49,c_13190]) ).
tcf(c_43101,plain,
sdtpldt0(xl,sdtpldt0(xm,xp)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_43088,c_54,c_49,c_13190]) ).
tcf(c_43102,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43096,c_49,c_13190]) ).
tcf(c_43106,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43095,c_49,c_13190]) ).
tcf(c_43111,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xp),X0) != sdtpldt0(xl,sdtpldt0(xm,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43093,c_49,c_13190]) ).
tcf(c_43115,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sdtpldt0(xl,sdtpldt0(xm,xp)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43097,c_49,c_13190]) ).
tcf(c_43120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xm,xp),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43094,c_49,c_13190]) ).
tcf(c_43125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43098,c_49,c_13190]) ).
tcf(c_43130,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(X0,xl))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43092,c_49,c_13190]) ).
tcf(c_43155,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xr) = sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_43099,c_4999]) ).
tcf(c_43156,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xr) = sdtasdt0(xr,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_43099,c_4997]) ).
tcf(c_43157,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xm,xp))),xr) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_43099,c_4996]) ).
tcf(c_43158,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_43099,c_4945]) ).
tcf(c_43159,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_43099,c_4943]) ).
tcf(c_43160,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xp))),xq) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_43099,c_4942]) ).
tcf(c_43161,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_43099,c_4262]) ).
tcf(c_43162,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_43099,c_4260]) ).
tcf(c_43163,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xm,xp))),xp) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_43099,c_4259]) ).
tcf(c_43164,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xp))),xl) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_43099,c_4186]) ).
tcf(c_43165,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(xl,sdtpldt0(xm,xp)))) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_43099,c_4041]) ).
tcf(c_43166,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sK0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(xl,sdtpldt0(xm,xp)))) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_43099,c_3458]) ).
tcf(c_43167,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp))),sz00) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_43099,c_3195]) ).
tcf(c_43168,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xp))),xn) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_43099,c_3190]) ).
tcf(c_43169,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xp))),xm) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_43099,c_3189]) ).
tcf(c_43170,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xp))),xl) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_43099,c_3188]) ).
tcf(c_43171,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_43099,c_3101]) ).
tcf(c_43172,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_43099,c_3096]) ).
tcf(c_43173,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_43099,c_3095]) ).
tcf(c_43174,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_43099,c_3094]) ).
tcf(c_43175,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_43099,c_2815]) ).
tcf(c_43176,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_43099,c_2811]) ).
tcf(c_43177,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_43099,c_2810]) ).
tcf(c_43178,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xm,xp))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43099,c_72]) ).
tcf(c_43179,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43099,c_71]) ).
tcf(c_43180,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,sdtpldt0(xm,xp))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43099,c_105]) ).
tcf(c_43181,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xm,xp))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43099,c_75]) ).
tcf(c_43182,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0),sdtpldt0(xl,sdtpldt0(xm,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43099,c_153]) ).
tcf(c_43183,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0),sdtpldt0(xl,sdtpldt0(xm,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43099,c_146]) ).
tcf(c_43184,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43099,c_106]) ).
tcf(c_43185,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_43099,c_2809]) ).
tcf(c_43186,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43099,c_76]) ).
tcf(c_43187,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp))) = sz00,
inference(superposition,[status(thm)],[c_43099,c_92]) ).
tcf(c_43188,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) = sz00,
inference(superposition,[status(thm)],[c_43099,c_91]) ).
tcf(c_43189,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp))) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_43099,c_74]) ).
tcf(c_43190,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_43099,c_73]) ).
tcf(c_43323,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_43100,c_99]) ).
tcf(c_43324,plain,
( ( sdtpldt0(sdtpldt0(xm,xp),sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(xm,xp))) = sdtpldt0(xl,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_43100,c_104]) ).
tcf(c_43325,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_43100,c_100]) ).
tcf(c_43326,plain,
( ( sdtpldt0(sdtpldt0(xm,xp),sK0(sdtpldt0(xm,xp),sdtpldt0(xl,sdtpldt0(xm,xp)))) = sdtpldt0(xl,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_43100,c_66]) ).
tcf(c_43327,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43323,c_13190,c_43099]) ).
tcf(c_43331,plain,
sdtpldt0(sdtpldt0(xm,xp),sK0(sdtpldt0(xm,xp),sdtpldt0(xl,sdtpldt0(xm,xp)))) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_43326,c_13190,c_43099]) ).
tcf(c_43332,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sdtpldt0(xm,xp) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43325,c_13190,c_43099]) ).
tcf(c_43335,plain,
sdtpldt0(sdtpldt0(xm,xp),sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(xm,xp))) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_43324,c_13190,c_43099]) ).
tcf(c_43337,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_43187,c_87]) ).
tcf(c_43340,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_43187,c_90]) ).
tcf(c_43346,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_43187,c_87]) ).
tcf(c_43349,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43340,c_43101,c_93,c_43099]) ).
tcf(c_43353,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43346,c_43101,c_93,c_43099]) ).
tcf(c_43358,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43337,c_43101,c_93,c_43099]) ).
tcf(c_43365,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_43188,c_85]) ).
tcf(c_43370,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_43188,c_140]) ).
tcf(c_43373,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_43188,c_89]) ).
tcf(c_43374,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_43188,c_85]) ).
tcf(c_43375,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_43370,c_93,c_43099]) ).
tcf(c_43376,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43373,c_43101,c_93,c_43099]) ).
tcf(c_43380,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43374,c_43101,c_93,c_43099]) ).
tcf(c_43385,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43365,c_43101,c_93,c_43099]) ).
tcf(c_43390,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_43375,c_79]) ).
tcf(c_43391,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_43375,c_96]) ).
tcf(c_43392,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sK1(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_43375,c_82]) ).
tcf(c_43393,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43390,c_93,c_43099]) ).
tcf(c_43397,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sK1(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_43392,c_93,c_43099]) ).
tcf(c_43398,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_43391,c_43101,c_93,c_43099]) ).
tcf(c_43406,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13356,c_99]) ).
tcf(c_43407,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xm,xp),X0)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13356,c_104]) ).
tcf(c_43408,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_13356,c_100]) ).
tcf(c_43409,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_13356,c_66]) ).
tcf(c_43410,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43409,c_13190]) ).
tcf(c_43414,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43408,c_13190]) ).
tcf(c_43419,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xm,xp),X0)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43407,c_13190]) ).
tcf(c_43423,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43406,c_13190]) ).
tcf(c_43485,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xm,xn),sz00)),sz00)
| ( sdtpldt0(xm,xn) = X0 )
| ( sK1(sdtpldt0(xm,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xn),sz00)) ),
inference(superposition,[status(thm)],[c_13423,c_87]) ).
tcf(c_43486,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),sz00)
| ( sK1(sdtpldt0(xm,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xn),sz00)) ),
inference(superposition,[status(thm)],[c_13423,c_83]) ).
tcf(c_43487,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xn),X0),sz00)
| ( sdtpldt0(xm,xn) = sz00 )
| ( sK1(sdtpldt0(xm,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xn),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xm,xn),sz00)) ),
inference(superposition,[status(thm)],[c_13423,c_85]) ).
tcf(c_43488,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ( sK1(sdtpldt0(xm,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xn),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xm,xn),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13423,c_90]) ).
tcf(c_43491,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ( sK1(sdtpldt0(xm,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xn),sz00)) ),
inference(superposition,[status(thm)],[c_13423,c_88]) ).
tcf(c_43494,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xm,xn),sz00)))
| ( sdtpldt0(xm,xn) = X0 )
| ( sK1(sdtpldt0(xm,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xn),sz00)) ),
inference(superposition,[status(thm)],[c_13423,c_87]) ).
tcf(c_43495,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = sz00 )
| ( sK1(sdtpldt0(xm,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xn),sz00))
| ( sdtasdt0(sdtpldt0(xm,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13423,c_89]) ).
tcf(c_43496,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xn),X0))
| ( sdtpldt0(xm,xn) = sz00 )
| ( sK1(sdtpldt0(xm,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xn),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xm,xn),sz00),X0) ),
inference(superposition,[status(thm)],[c_13423,c_85]) ).
tcf(c_43497,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),sz00)
| ( sK1(sdtpldt0(xm,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43486,c_12823]) ).
tcf(c_43501,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ( sK1(sdtpldt0(xm,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43491,c_12823]) ).
tcf(c_43505,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = sz00 )
| ( sK1(sdtpldt0(xm,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xn),sz00))
| ( sdtasdt0(sdtpldt0(xm,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43495,c_12823]) ).
tcf(c_43511,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ( sK1(sdtpldt0(xm,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xn),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xm,xn),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43488,c_12823]) ).
tcf(c_43517,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xn),X0))
| ( sdtpldt0(xm,xn) = sz00 )
| ( sK1(sdtpldt0(xm,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xn),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xm,xn),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43496,c_12823]) ).
tcf(c_43524,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xm,xn),sz00)))
| ( sdtpldt0(xm,xn) = X0 )
| ( sK1(sdtpldt0(xm,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43494,c_12823]) ).
tcf(c_43531,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xn),X0),sz00)
| ( sdtpldt0(xm,xn) = sz00 )
| ( sK1(sdtpldt0(xm,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xn),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xm,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43487,c_12823]) ).
tcf(c_43538,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xm,xn),sz00)),sz00)
| ( sdtpldt0(xm,xn) = X0 )
| ( sK1(sdtpldt0(xm,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43485,c_12823]) ).
tcf(c_43556,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_78,c_13424]) ).
tcf(c_43560,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13553,c_68]) ).
tcf(c_43561,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13553,c_67]) ).
tcf(c_43562,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13553,c_143]) ).
tcf(c_43563,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13553,c_77]) ).
tcf(c_43564,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(X0,xm))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_13553,c_63]) ).
tcf(c_43565,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(sdtpldt0(xm,xq),X0) != sdtpldt0(xm,sdtpldt0(xm,xq)) ) ),
inference(superposition,[status(thm)],[c_13553,c_69]) ).
tcf(c_43566,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(sdtpldt0(xm,xq),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13553,c_61]) ).
tcf(c_43567,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ doDivides0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13553,c_78]) ).
tcf(c_43568,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_13553,c_70]) ).
tcf(c_43569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sdtpldt0(xm,sdtpldt0(xm,xq)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13553,c_61]) ).
tcf(c_43570,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13553,c_63]) ).
tcf(c_43571,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_43563,c_50,c_13506]) ).
tcf(c_43572,plain,
sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_43562,c_50,c_13506]) ).
tcf(c_43573,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43560,c_50,c_13506]) ).
tcf(c_43576,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43561,c_50,c_13506]) ).
tcf(c_43579,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43568,c_50,c_13506]) ).
tcf(c_43583,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43567,c_50,c_13506]) ).
tcf(c_43588,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xq),X0) != sdtpldt0(xm,sdtpldt0(xm,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43565,c_50,c_13506]) ).
tcf(c_43592,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sdtpldt0(xm,sdtpldt0(xm,xq)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43569,c_50,c_13506]) ).
tcf(c_43597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(sdtpldt0(xm,xq),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43566,c_50,c_13506]) ).
tcf(c_43602,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43570,c_50,c_13506]) ).
tcf(c_43607,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(X0,xm))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43564,c_50,c_13506]) ).
tcf(c_43630,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_11523,c_63]) ).
tcf(c_43631,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_11523,c_69]) ).
tcf(c_43632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_11523,c_61]) ).
tcf(c_43633,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_11523,c_78]) ).
tcf(c_43634,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_11523,c_70]) ).
tcf(c_43635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_11523,c_61]) ).
tcf(c_43636,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_11523,c_63]) ).
tcf(c_43637,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43634,c_2971]) ).
tcf(c_43642,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43633,c_2971]) ).
tcf(c_43648,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43631,c_2971]) ).
tcf(c_43653,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43636,c_2971]) ).
tcf(c_43659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43630,c_2971]) ).
tcf(c_43665,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43635,c_2971]) ).
tcf(c_43671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43632,c_2971]) ).
tcf(c_43722,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xr) = sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43571,c_4999]) ).
tcf(c_43723,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xr) = sdtasdt0(xr,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43571,c_4997]) ).
tcf(c_43724,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xm,xq))),xr) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43571,c_4996]) ).
tcf(c_43725,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43571,c_4945]) ).
tcf(c_43726,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43571,c_4943]) ).
tcf(c_43727,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xq))),xq) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43571,c_4942]) ).
tcf(c_43728,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43571,c_4262]) ).
tcf(c_43729,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43571,c_4260]) ).
tcf(c_43730,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xm,xq))),xp) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43571,c_4259]) ).
tcf(c_43731,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xq))),xl) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43571,c_4186]) ).
tcf(c_43732,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(xm,sdtpldt0(xm,xq)))) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43571,c_4041]) ).
tcf(c_43733,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sK0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(xm,sdtpldt0(xm,xq)))) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43571,c_3458]) ).
tcf(c_43734,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq))),sz00) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43571,c_3195]) ).
tcf(c_43735,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xq))),xn) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43571,c_3190]) ).
tcf(c_43736,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xq))),xm) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43571,c_3189]) ).
tcf(c_43737,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xq))),xl) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43571,c_3188]) ).
tcf(c_43738,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43571,c_3101]) ).
tcf(c_43739,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43571,c_3096]) ).
tcf(c_43740,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43571,c_3095]) ).
tcf(c_43741,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43571,c_3094]) ).
tcf(c_43742,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43571,c_2815]) ).
tcf(c_43743,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43571,c_2811]) ).
tcf(c_43744,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43571,c_2810]) ).
tcf(c_43745,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xm,xq))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43571,c_72]) ).
tcf(c_43746,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43571,c_71]) ).
tcf(c_43747,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,sdtpldt0(xm,xq))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43571,c_105]) ).
tcf(c_43748,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xm,xq))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43571,c_75]) ).
tcf(c_43749,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0),sdtpldt0(xm,sdtpldt0(xm,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43571,c_153]) ).
tcf(c_43750,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0),sdtpldt0(xm,sdtpldt0(xm,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43571,c_146]) ).
tcf(c_43751,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43571,c_106]) ).
tcf(c_43752,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43571,c_2809]) ).
tcf(c_43753,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43571,c_76]) ).
tcf(c_43754,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq))) = sz00,
inference(superposition,[status(thm)],[c_43571,c_92]) ).
tcf(c_43755,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_43571,c_91]) ).
tcf(c_43756,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq))) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43571,c_74]) ).
tcf(c_43757,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43571,c_73]) ).
tcf(c_43841,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_43572,c_99]) ).
tcf(c_43842,plain,
( ( sdtpldt0(sdtpldt0(xm,xq),sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(xm,xq))) = sdtpldt0(xm,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_43572,c_104]) ).
tcf(c_43843,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_43572,c_100]) ).
tcf(c_43844,plain,
( ( sdtpldt0(sdtpldt0(xm,xq),sK0(sdtpldt0(xm,xq),sdtpldt0(xm,sdtpldt0(xm,xq)))) = sdtpldt0(xm,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_43572,c_66]) ).
tcf(c_43845,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43841,c_13506,c_43571]) ).
tcf(c_43849,plain,
sdtpldt0(sdtpldt0(xm,xq),sK0(sdtpldt0(xm,xq),sdtpldt0(xm,sdtpldt0(xm,xq)))) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_43844,c_13506,c_43571]) ).
tcf(c_43850,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sdtpldt0(xm,xq) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43843,c_13506,c_43571]) ).
tcf(c_43853,plain,
sdtpldt0(sdtpldt0(xm,xq),sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(xm,xq))) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_43842,c_13506,c_43571]) ).
tcf(c_43855,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_43754,c_87]) ).
tcf(c_43858,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_43754,c_90]) ).
tcf(c_43864,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_43754,c_87]) ).
tcf(c_43867,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43858,c_93,c_43571]) ).
tcf(c_43872,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43864,c_93,c_43571]) ).
tcf(c_43878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43855,c_93,c_43571]) ).
tcf(c_43886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_43755,c_85]) ).
tcf(c_43891,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_43755,c_140]) ).
tcf(c_43894,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_43755,c_89]) ).
tcf(c_43895,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_43755,c_85]) ).
tcf(c_43896,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_43891,c_93,c_43571]) ).
tcf(c_43897,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43894,c_93,c_43571]) ).
tcf(c_43902,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43895,c_93,c_43571]) ).
tcf(c_43908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43886,c_93,c_43571]) ).
tcf(c_43914,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_43896,c_79]) ).
tcf(c_43915,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_43896,c_96]) ).
tcf(c_43916,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sK1(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_43896,c_82]) ).
tcf(c_43917,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43914,c_93,c_43571]) ).
tcf(c_43921,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sK1(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_43916,c_93,c_43571]) ).
tcf(c_43922,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43915,c_93,c_43571]) ).
tcf(c_43927,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13561,c_68]) ).
tcf(c_43929,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13561,c_143]) ).
tcf(c_43930,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13561,c_77]) ).
tcf(c_43931,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(X0,xl))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_13561,c_63]) ).
tcf(c_43932,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(sdtpldt0(xm,xq),X0) != sdtpldt0(xl,sdtpldt0(xm,xq)) ) ),
inference(superposition,[status(thm)],[c_13561,c_69]) ).
tcf(c_43933,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(sdtpldt0(xm,xq),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13561,c_61]) ).
tcf(c_43934,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ doDivides0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13561,c_78]) ).
tcf(c_43935,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_13561,c_70]) ).
tcf(c_43936,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sdtpldt0(xl,sdtpldt0(xm,xq)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13561,c_61]) ).
tcf(c_43937,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13561,c_63]) ).
tcf(c_43938,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_43930,c_49,c_13506]) ).
tcf(c_43939,plain,
sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_43929,c_49,c_13506]) ).
tcf(c_43940,plain,
sdtpldt0(xl,sdtpldt0(xm,xq)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_43927,c_54,c_49,c_13506]) ).
tcf(c_43941,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43935,c_49,c_13506]) ).
tcf(c_43945,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43934,c_49,c_13506]) ).
tcf(c_43950,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xq),X0) != sdtpldt0(xl,sdtpldt0(xm,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43932,c_49,c_13506]) ).
tcf(c_43954,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sdtpldt0(xl,sdtpldt0(xm,xq)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43936,c_49,c_13506]) ).
tcf(c_43959,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(sdtpldt0(xm,xq),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43933,c_49,c_13506]) ).
tcf(c_43964,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43937,c_49,c_13506]) ).
tcf(c_43969,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(X0,xl))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43931,c_49,c_13506]) ).
tcf(c_43979,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xr) = sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43938,c_4999]) ).
tcf(c_43980,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xr) = sdtasdt0(xr,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43938,c_4997]) ).
tcf(c_43981,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xm,xq))),xr) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43938,c_4996]) ).
tcf(c_43982,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43938,c_4945]) ).
tcf(c_43983,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43938,c_4943]) ).
tcf(c_43984,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xq))),xq) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43938,c_4942]) ).
tcf(c_43985,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43938,c_4262]) ).
tcf(c_43986,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43938,c_4260]) ).
tcf(c_43987,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xm,xq))),xp) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43938,c_4259]) ).
tcf(c_43988,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xq))),xl) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43938,c_4186]) ).
tcf(c_43989,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(xl,sdtpldt0(xm,xq)))) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43938,c_4041]) ).
tcf(c_43990,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sK0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(xl,sdtpldt0(xm,xq)))) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43938,c_3458]) ).
tcf(c_43991,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq))),sz00) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43938,c_3195]) ).
tcf(c_43992,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xq))),xn) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43938,c_3190]) ).
tcf(c_43993,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xq))),xm) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43938,c_3189]) ).
tcf(c_43994,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xq))),xl) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43938,c_3188]) ).
tcf(c_43995,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43938,c_3101]) ).
tcf(c_43996,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43938,c_3096]) ).
tcf(c_43997,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43938,c_3095]) ).
tcf(c_43998,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43938,c_3094]) ).
tcf(c_43999,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43938,c_2815]) ).
tcf(c_44000,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43938,c_2811]) ).
tcf(c_44001,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43938,c_2810]) ).
tcf(c_44002,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xm,xq))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43938,c_72]) ).
tcf(c_44003,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43938,c_71]) ).
tcf(c_44004,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,sdtpldt0(xm,xq))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43938,c_105]) ).
tcf(c_44005,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xm,xq))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43938,c_75]) ).
tcf(c_44006,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0),sdtpldt0(xl,sdtpldt0(xm,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43938,c_153]) ).
tcf(c_44007,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0),sdtpldt0(xl,sdtpldt0(xm,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43938,c_146]) ).
tcf(c_44008,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43938,c_106]) ).
tcf(c_44009,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_43938,c_2809]) ).
tcf(c_44010,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43938,c_76]) ).
tcf(c_44011,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq))) = sz00,
inference(superposition,[status(thm)],[c_43938,c_92]) ).
tcf(c_44012,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_43938,c_91]) ).
tcf(c_44013,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq))) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43938,c_74]) ).
tcf(c_44014,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_43938,c_73]) ).
tcf(c_44112,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_43939,c_99]) ).
tcf(c_44113,plain,
( ( sdtpldt0(sdtpldt0(xm,xq),sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(xm,xq))) = sdtpldt0(xl,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_43939,c_104]) ).
tcf(c_44114,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_43939,c_100]) ).
tcf(c_44115,plain,
( ( sdtpldt0(sdtpldt0(xm,xq),sK0(sdtpldt0(xm,xq),sdtpldt0(xl,sdtpldt0(xm,xq)))) = sdtpldt0(xl,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_43939,c_66]) ).
tcf(c_44116,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44112,c_13506,c_43938]) ).
tcf(c_44120,plain,
sdtpldt0(sdtpldt0(xm,xq),sK0(sdtpldt0(xm,xq),sdtpldt0(xl,sdtpldt0(xm,xq)))) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_44115,c_13506,c_43938]) ).
tcf(c_44121,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sdtpldt0(xm,xq) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44114,c_13506,c_43938]) ).
tcf(c_44124,plain,
sdtpldt0(sdtpldt0(xm,xq),sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(xm,xq))) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_44113,c_13506,c_43938]) ).
tcf(c_44126,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_44011,c_87]) ).
tcf(c_44129,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_44011,c_90]) ).
tcf(c_44135,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_44011,c_87]) ).
tcf(c_44138,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44129,c_43940,c_93,c_43938]) ).
tcf(c_44142,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44135,c_43940,c_93,c_43938]) ).
tcf(c_44147,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44126,c_43940,c_93,c_43938]) ).
tcf(c_44154,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_44012,c_85]) ).
tcf(c_44159,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_44012,c_140]) ).
tcf(c_44162,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_44012,c_89]) ).
tcf(c_44163,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_44012,c_85]) ).
tcf(c_44164,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_44159,c_93,c_43938]) ).
tcf(c_44165,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44162,c_43940,c_93,c_43938]) ).
tcf(c_44169,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44163,c_43940,c_93,c_43938]) ).
tcf(c_44174,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44154,c_43940,c_93,c_43938]) ).
tcf(c_44179,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_44164,c_79]) ).
tcf(c_44180,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_44164,c_96]) ).
tcf(c_44181,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sK1(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_44164,c_82]) ).
tcf(c_44182,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44179,c_93,c_43938]) ).
tcf(c_44186,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sK1(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_44181,c_93,c_43938]) ).
tcf(c_44187,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_44180,c_43940,c_93,c_43938]) ).
tcf(c_44245,plain,
( ( sK0(xq,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_13630,c_68]) ).
tcf(c_44246,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_13630,c_67]) ).
tcf(c_44249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,sK0(xq,sdtpldt0(xm,xq))))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_13630,c_63]) ).
tcf(c_44250,plain,
! [X0: $i] :
( ( sK0(xq,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq)))
| ( sdtpldt0(xq,X0) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_13630,c_69]) ).
tcf(c_44251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xq,X0))
| ( sK0(xq,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK0(xq,sdtpldt0(xm,xq)),X0) ),
inference(superposition,[status(thm)],[c_13630,c_61]) ).
tcf(c_44252,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq)))
| ~ doDivides0(X0,sK0(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_13630,c_78]) ).
tcf(c_44253,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq)))
| ( sdtpldt0(X0,sK0(xq,sdtpldt0(xm,xq))) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_13630,c_70]) ).
tcf(c_44254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xm,xq))
| ( sK0(xq,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(X0,sK0(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_13630,c_61]) ).
tcf(c_44255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xq,sdtpldt0(xm,xq))),sdtpldt0(xm,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_13630,c_63]) ).
tcf(c_44256,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44246,c_4938]) ).
tcf(c_44260,plain,
( ( sK0(xq,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44245,c_4938]) ).
tcf(c_44264,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq)))
| ( sdtpldt0(X0,sK0(xq,sdtpldt0(xm,xq))) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44253,c_4938]) ).
tcf(c_44269,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq)))
| ~ doDivides0(X0,sK0(xq,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44252,c_4938]) ).
tcf(c_44275,plain,
! [X0: $i] :
( ( sK0(xq,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq)))
| ( sdtpldt0(xq,X0) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44250,c_4938]) ).
tcf(c_44280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xq,sdtpldt0(xm,xq))),sdtpldt0(xm,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44255,c_4938]) ).
tcf(c_44286,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,sK0(xq,sdtpldt0(xm,xq))))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44249,c_4938]) ).
tcf(c_44292,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xm,xq))
| ( sK0(xq,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(X0,sK0(xq,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44254,c_4938]) ).
tcf(c_44298,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xq,X0))
| ( sK0(xq,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK0(xq,sdtpldt0(xm,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44251,c_4938]) ).
tcf(c_44375,plain,
( sdtlseqdt0(xr,sdtpldt0(xm,xq))
| ( sdtpldt0(xm,xq) = xq )
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_34781,c_13631]) ).
tcf(c_44377,plain,
( sdtlseqdt0(xr,sdtpldt0(xm,xq))
| ( sdtpldt0(xm,xq) = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44375,c_13506]) ).
tcf(c_44384,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ( sdtpldt0(xm,xq) = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_44377,c_99]) ).
tcf(c_44385,plain,
( ( sdtpldt0(xm,xq) = xq )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xm,xq),xr)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_44377,c_104]) ).
tcf(c_44386,plain,
( ( sdtpldt0(xm,xq) = xr )
| ( sdtpldt0(xm,xq) = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),xr) ),
inference(superposition,[status(thm)],[c_44377,c_100]) ).
tcf(c_44387,plain,
( ( sdtpldt0(xm,xq) = xq )
| ( sdtpldt0(xr,sK0(xr,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_44377,c_66]) ).
tcf(c_44388,plain,
( ( sdtpldt0(xm,xq) = xq )
| ( sdtpldt0(xr,sK0(xr,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44387,c_4939,c_13506]) ).
tcf(c_44391,plain,
( ( sdtpldt0(xm,xq) = xr )
| ( sdtpldt0(xm,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xm,xq),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44386,c_4939,c_13506]) ).
tcf(c_44395,plain,
( ( sdtpldt0(xm,xq) = xq )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xm,xq),xr)) = sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44385,c_4939,c_13506]) ).
tcf(c_44398,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ( sdtpldt0(xm,xq) = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44384,c_4939,c_13506]) ).
tcf(c_44404,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(superposition,[status(thm)],[c_11624,c_87]) ).
tcf(c_44405,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(superposition,[status(thm)],[c_11624,c_83]) ).
tcf(c_44406,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(superposition,[status(thm)],[c_11624,c_85]) ).
tcf(c_44407,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_11624,c_90]) ).
tcf(c_44410,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(superposition,[status(thm)],[c_11624,c_88]) ).
tcf(c_44413,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(superposition,[status(thm)],[c_11624,c_87]) ).
tcf(c_44414,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11624,c_89]) ).
tcf(c_44415,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00),X0) ),
inference(superposition,[status(thm)],[c_11624,c_85]) ).
tcf(c_44416,plain,
( ( sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44405,c_20937,c_3373]) ).
tcf(c_44420,plain,
! [X0: $i] :
( ( sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44414,c_3443,c_3373]) ).
tcf(c_44425,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44407,c_3373]) ).
tcf(c_44431,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44415,c_3443,c_3373]) ).
tcf(c_44437,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44413,c_3373]) ).
tcf(c_44444,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00)
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44406,c_3443,c_3373]) ).
tcf(c_44450,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK1(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44404,c_3373]) ).
tcf(c_44463,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13635,c_99]) ).
tcf(c_44464,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xm,xq),X0)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13635,c_104]) ).
tcf(c_44465,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_13635,c_100]) ).
tcf(c_44466,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_13635,c_66]) ).
tcf(c_44467,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44466,c_13506]) ).
tcf(c_44471,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44465,c_13506]) ).
tcf(c_44476,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xm,xq),X0)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44464,c_13506]) ).
tcf(c_44480,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44463,c_13506]) ).
tcf(c_44486,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xm,xr),sz00)),sz00)
| ( sdtpldt0(xm,xr) = X0 )
| ( sK1(sdtpldt0(xm,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xr),sz00)) ),
inference(superposition,[status(thm)],[c_13712,c_87]) ).
tcf(c_44487,plain,
( sdtlseqdt0(sdtpldt0(xm,xr),sz00)
| ( sK1(sdtpldt0(xm,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xr),sz00)) ),
inference(superposition,[status(thm)],[c_13712,c_83]) ).
tcf(c_44488,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xr),X0),sz00)
| ( sdtpldt0(xm,xr) = sz00 )
| ( sK1(sdtpldt0(xm,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xr),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xm,xr),sz00)) ),
inference(superposition,[status(thm)],[c_13712,c_85]) ).
tcf(c_44489,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ( sK1(sdtpldt0(xm,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xr),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xm,xr),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13712,c_90]) ).
tcf(c_44492,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ( sK1(sdtpldt0(xm,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xr),sz00)) ),
inference(superposition,[status(thm)],[c_13712,c_88]) ).
tcf(c_44495,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xm,xr),sz00)))
| ( sdtpldt0(xm,xr) = X0 )
| ( sK1(sdtpldt0(xm,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xr),sz00)) ),
inference(superposition,[status(thm)],[c_13712,c_87]) ).
tcf(c_44496,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = sz00 )
| ( sK1(sdtpldt0(xm,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xr),sz00))
| ( sdtasdt0(sdtpldt0(xm,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13712,c_89]) ).
tcf(c_44497,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xr),X0))
| ( sdtpldt0(xm,xr) = sz00 )
| ( sK1(sdtpldt0(xm,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xr),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xm,xr),sz00),X0) ),
inference(superposition,[status(thm)],[c_13712,c_85]) ).
tcf(c_44498,plain,
( sdtlseqdt0(sdtpldt0(xm,xr),sz00)
| ( sK1(sdtpldt0(xm,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44487,c_12990]) ).
tcf(c_44502,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ( sK1(sdtpldt0(xm,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44492,c_12990]) ).
tcf(c_44506,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = sz00 )
| ( sK1(sdtpldt0(xm,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xr),sz00))
| ( sdtasdt0(sdtpldt0(xm,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44496,c_12990]) ).
tcf(c_44512,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ( sK1(sdtpldt0(xm,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xr),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xm,xr),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44489,c_12990]) ).
tcf(c_44518,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xr),X0))
| ( sdtpldt0(xm,xr) = sz00 )
| ( sK1(sdtpldt0(xm,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xr),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xm,xr),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44497,c_12990]) ).
tcf(c_44525,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xm,xr),sz00)))
| ( sdtpldt0(xm,xr) = X0 )
| ( sK1(sdtpldt0(xm,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44495,c_12990]) ).
tcf(c_44532,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xr),X0),sz00)
| ( sdtpldt0(xm,xr) = sz00 )
| ( sK1(sdtpldt0(xm,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xr),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xm,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44488,c_12990]) ).
tcf(c_44539,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xm,xr),sz00)),sz00)
| ( sdtpldt0(xm,xr) = X0 )
| ( sK1(sdtpldt0(xm,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44486,c_12990]) ).
tcf(c_44556,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_78,c_13713]) ).
tcf(c_44558,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xm,xp),sz00)),sz00)
| ( sdtpldt0(xm,xp) = X0 )
| ( sK1(sdtpldt0(xm,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xp),sz00)) ),
inference(superposition,[status(thm)],[c_13790,c_87]) ).
tcf(c_44559,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sz00)
| ( sK1(sdtpldt0(xm,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xp),sz00)) ),
inference(superposition,[status(thm)],[c_13790,c_83]) ).
tcf(c_44560,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xp),X0),sz00)
| ( sdtpldt0(xm,xp) = sz00 )
| ( sK1(sdtpldt0(xm,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xp),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xm,xp),sz00)) ),
inference(superposition,[status(thm)],[c_13790,c_85]) ).
tcf(c_44561,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ( sK1(sdtpldt0(xm,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xp),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xm,xp),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13790,c_90]) ).
tcf(c_44564,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ( sK1(sdtpldt0(xm,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xp),sz00)) ),
inference(superposition,[status(thm)],[c_13790,c_88]) ).
tcf(c_44567,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xm,xp),sz00)))
| ( sdtpldt0(xm,xp) = X0 )
| ( sK1(sdtpldt0(xm,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xp),sz00)) ),
inference(superposition,[status(thm)],[c_13790,c_87]) ).
tcf(c_44568,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = sz00 )
| ( sK1(sdtpldt0(xm,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xp),sz00))
| ( sdtasdt0(sdtpldt0(xm,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13790,c_89]) ).
tcf(c_44569,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xp),X0))
| ( sdtpldt0(xm,xp) = sz00 )
| ( sK1(sdtpldt0(xm,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xp),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xm,xp),sz00),X0) ),
inference(superposition,[status(thm)],[c_13790,c_85]) ).
tcf(c_44570,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sz00)
| ( sK1(sdtpldt0(xm,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44559,c_13190]) ).
tcf(c_44574,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ( sK1(sdtpldt0(xm,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44564,c_13190]) ).
tcf(c_44578,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = sz00 )
| ( sK1(sdtpldt0(xm,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xp),sz00))
| ( sdtasdt0(sdtpldt0(xm,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44568,c_13190]) ).
tcf(c_44584,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ( sK1(sdtpldt0(xm,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xp),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xm,xp),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44561,c_13190]) ).
tcf(c_44590,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xp),X0))
| ( sdtpldt0(xm,xp) = sz00 )
| ( sK1(sdtpldt0(xm,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xp),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xm,xp),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44569,c_13190]) ).
tcf(c_44597,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xm,xp),sz00)))
| ( sdtpldt0(xm,xp) = X0 )
| ( sK1(sdtpldt0(xm,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44567,c_13190]) ).
tcf(c_44604,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xp),X0),sz00)
| ( sdtpldt0(xm,xp) = sz00 )
| ( sK1(sdtpldt0(xm,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xp),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xm,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44560,c_13190]) ).
tcf(c_44611,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xm,xp),sz00)),sz00)
| ( sdtpldt0(xm,xp) = X0 )
| ( sK1(sdtpldt0(xm,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44558,c_13190]) ).
tcf(c_44687,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_78,c_13791]) ).
tcf(c_44689,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xm,xq),sz00)),sz00)
| ( sdtpldt0(xm,xq) = X0 )
| ( sK1(sdtpldt0(xm,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xq),sz00)) ),
inference(superposition,[status(thm)],[c_13877,c_87]) ).
tcf(c_44690,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sz00)
| ( sK1(sdtpldt0(xm,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xq),sz00)) ),
inference(superposition,[status(thm)],[c_13877,c_83]) ).
tcf(c_44691,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xq),X0),sz00)
| ( sdtpldt0(xm,xq) = sz00 )
| ( sK1(sdtpldt0(xm,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xq),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xm,xq),sz00)) ),
inference(superposition,[status(thm)],[c_13877,c_85]) ).
tcf(c_44692,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ( sK1(sdtpldt0(xm,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xq),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xm,xq),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13877,c_90]) ).
tcf(c_44695,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ( sK1(sdtpldt0(xm,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xq),sz00)) ),
inference(superposition,[status(thm)],[c_13877,c_88]) ).
tcf(c_44698,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xm,xq),sz00)))
| ( sdtpldt0(xm,xq) = X0 )
| ( sK1(sdtpldt0(xm,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xq),sz00)) ),
inference(superposition,[status(thm)],[c_13877,c_87]) ).
tcf(c_44699,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = sz00 )
| ( sK1(sdtpldt0(xm,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xq),sz00))
| ( sdtasdt0(sdtpldt0(xm,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13877,c_89]) ).
tcf(c_44700,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xq),X0))
| ( sdtpldt0(xm,xq) = sz00 )
| ( sK1(sdtpldt0(xm,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xq),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xm,xq),sz00),X0) ),
inference(superposition,[status(thm)],[c_13877,c_85]) ).
tcf(c_44701,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sz00)
| ( sK1(sdtpldt0(xm,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44690,c_13506]) ).
tcf(c_44705,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ( sK1(sdtpldt0(xm,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44695,c_13506]) ).
tcf(c_44709,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = sz00 )
| ( sK1(sdtpldt0(xm,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xq),sz00))
| ( sdtasdt0(sdtpldt0(xm,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44699,c_13506]) ).
tcf(c_44715,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ( sK1(sdtpldt0(xm,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xq),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xm,xq),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44692,c_13506]) ).
tcf(c_44721,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xq),X0))
| ( sdtpldt0(xm,xq) = sz00 )
| ( sK1(sdtpldt0(xm,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xq),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xm,xq),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44700,c_13506]) ).
tcf(c_44728,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xm,xq),sz00)))
| ( sdtpldt0(xm,xq) = X0 )
| ( sK1(sdtpldt0(xm,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44698,c_13506]) ).
tcf(c_44735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xq),X0),sz00)
| ( sdtpldt0(xm,xq) = sz00 )
| ( sK1(sdtpldt0(xm,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xq),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xm,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44691,c_13506]) ).
tcf(c_44742,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xm,xq),sz00)),sz00)
| ( sdtpldt0(xm,xq) = X0 )
| ( sK1(sdtpldt0(xm,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK1(sdtpldt0(xm,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44689,c_13506]) ).
tcf(c_44816,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_78,c_13878]) ).
tcf(c_44820,plain,
( ( sK0(sz00,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_14035,c_68]) ).
tcf(c_44824,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_14035,c_63]) ).
tcf(c_44825,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xn)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_14035,c_69]) ).
tcf(c_44826,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xm,xn)),X0) ),
inference(superposition,[status(thm)],[c_14035,c_61]) ).
tcf(c_44827,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xn)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_14035,c_78]) ).
tcf(c_44828,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xn)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xn))) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_14035,c_70]) ).
tcf(c_44829,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xn))
| ( sK0(sz00,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_14035,c_61]) ).
tcf(c_44830,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xn))),sdtpldt0(xm,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_14035,c_63]) ).
tcf(c_44831,plain,
( ( sK0(sz00,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44820,c_93]) ).
tcf(c_44835,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xn)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xn))) != sdtpldt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44828,c_93]) ).
tcf(c_44840,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xn)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44827,c_93]) ).
tcf(c_44846,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xn)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44825,c_93]) ).
tcf(c_44851,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xn))),sdtpldt0(xm,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44830,c_93]) ).
tcf(c_44857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44824,c_93]) ).
tcf(c_44863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xn))
| ( sK0(sz00,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44829,c_93]) ).
tcf(c_44869,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xm,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44826,c_93]) ).
tcf(c_44892,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14040,c_99]) ).
tcf(c_44893,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xm,xn),X0)) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14040,c_104]) ).
tcf(c_44894,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0) ),
inference(superposition,[status(thm)],[c_14040,c_100]) ).
tcf(c_44895,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14040,c_66]) ).
tcf(c_44896,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44895,c_12823]) ).
tcf(c_44900,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44894,c_12823]) ).
tcf(c_44905,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xm,xn),X0)) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44893,c_12823]) ).
tcf(c_44909,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44892,c_12823]) ).
tcf(c_44917,plain,
( ( sK0(sz00,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xr)))
| ( sdtpldt0(xm,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_14166,c_68]) ).
tcf(c_44921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xr))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_14166,c_63]) ).
tcf(c_44922,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xr)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_14166,c_69]) ).
tcf(c_44923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xr)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xm,xr)),X0) ),
inference(superposition,[status(thm)],[c_14166,c_61]) ).
tcf(c_44924,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xr)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_14166,c_78]) ).
tcf(c_44925,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xr)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xr))) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_14166,c_70]) ).
tcf(c_44926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xr))
| ( sK0(sz00,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xr)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_14166,c_61]) ).
tcf(c_44927,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xr))),sdtpldt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_14166,c_63]) ).
tcf(c_44928,plain,
( ( sK0(sz00,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xr)))
| ( sdtpldt0(xm,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44917,c_93]) ).
tcf(c_44932,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xr)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xr))) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44925,c_93]) ).
tcf(c_44937,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xr)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xm,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44924,c_93]) ).
tcf(c_44943,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xr)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44922,c_93]) ).
tcf(c_44948,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xr))),sdtpldt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44927,c_93]) ).
tcf(c_44954,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xr))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44921,c_93]) ).
tcf(c_44960,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xr))
| ( sK0(sz00,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xr)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xm,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44926,c_93]) ).
tcf(c_44966,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xr)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xm,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44923,c_93]) ).
tcf(c_44989,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14171,c_99]) ).
tcf(c_44990,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xm,xr),X0)) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14171,c_104]) ).
tcf(c_44991,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_14171,c_100]) ).
tcf(c_44992,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xm,xr))) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14171,c_66]) ).
tcf(c_44993,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xm,xr))) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44992,c_12990]) ).
tcf(c_44997,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44991,c_12990]) ).
tcf(c_45002,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xm,xr),X0)) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44990,c_12990]) ).
tcf(c_45006,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44989,c_12990]) ).
tcf(c_45014,plain,
( ( sK0(sz00,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_14311,c_68]) ).
tcf(c_45018,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_14311,c_63]) ).
tcf(c_45019,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xp)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_14311,c_69]) ).
tcf(c_45020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xm,xp)),X0) ),
inference(superposition,[status(thm)],[c_14311,c_61]) ).
tcf(c_45021,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xp)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_14311,c_78]) ).
tcf(c_45022,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xp)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xp))) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_14311,c_70]) ).
tcf(c_45023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xp))
| ( sK0(sz00,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_14311,c_61]) ).
tcf(c_45024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xp))),sdtpldt0(xm,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_14311,c_63]) ).
tcf(c_45025,plain,
( ( sK0(sz00,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45014,c_93]) ).
tcf(c_45029,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xp)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xp))) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45022,c_93]) ).
tcf(c_45034,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xp)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45021,c_93]) ).
tcf(c_45040,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xp)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45019,c_93]) ).
tcf(c_45045,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xp))),sdtpldt0(xm,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45024,c_93]) ).
tcf(c_45051,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45018,c_93]) ).
tcf(c_45057,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xp))
| ( sK0(sz00,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45023,c_93]) ).
tcf(c_45063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xm,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45020,c_93]) ).
tcf(c_45109,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_11625,c_87]) ).
tcf(c_45110,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_11625,c_83]) ).
tcf(c_45111,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_11625,c_85]) ).
tcf(c_45112,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11625,c_90]) ).
tcf(c_45115,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_11625,c_88]) ).
tcf(c_45118,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_11625,c_87]) ).
tcf(c_45119,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11625,c_89]) ).
tcf(c_45120,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) ),
inference(superposition,[status(thm)],[c_11625,c_85]) ).
tcf(c_45121,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45110,c_20937,c_3373]) ).
tcf(c_45125,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45119,c_3443,c_3373]) ).
tcf(c_45130,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45112,c_3373]) ).
tcf(c_45136,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45120,c_3443,c_3373]) ).
tcf(c_45142,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45118,c_3373]) ).
tcf(c_45149,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45111,c_3443,c_3373]) ).
tcf(c_45155,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45109,c_3373]) ).
tcf(c_45175,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14316,c_99]) ).
tcf(c_45176,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xm,xp),X0)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14316,c_104]) ).
tcf(c_45177,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_14316,c_100]) ).
tcf(c_45178,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14316,c_66]) ).
tcf(c_45179,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45178,c_13190]) ).
tcf(c_45183,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45177,c_13190]) ).
tcf(c_45188,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xm,xp),X0)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45176,c_13190]) ).
tcf(c_45192,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45175,c_13190]) ).
tcf(c_45200,plain,
( ( sK0(sz00,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_14475,c_68]) ).
tcf(c_45204,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_14475,c_63]) ).
tcf(c_45205,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xq)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_14475,c_69]) ).
tcf(c_45206,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xm,xq)),X0) ),
inference(superposition,[status(thm)],[c_14475,c_61]) ).
tcf(c_45207,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xq)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_14475,c_78]) ).
tcf(c_45208,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xq)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xq))) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_14475,c_70]) ).
tcf(c_45209,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xq))
| ( sK0(sz00,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_14475,c_61]) ).
tcf(c_45210,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xq))),sdtpldt0(xm,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_14475,c_63]) ).
tcf(c_45211,plain,
( ( sK0(sz00,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45200,c_93]) ).
tcf(c_45215,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xq)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xq))) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45208,c_93]) ).
tcf(c_45220,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xq)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45207,c_93]) ).
tcf(c_45226,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xq)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45205,c_93]) ).
tcf(c_45231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xq))),sdtpldt0(xm,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45210,c_93]) ).
tcf(c_45237,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,sK0(sz00,sdtpldt0(xm,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45204,c_93]) ).
tcf(c_45243,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xq))
| ( sK0(sz00,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45209,c_93]) ).
tcf(c_45249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xm,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45206,c_93]) ).
tcf(c_45272,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14480,c_99]) ).
tcf(c_45273,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xm,xq),X0)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14480,c_104]) ).
tcf(c_45274,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_14480,c_100]) ).
tcf(c_45275,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14480,c_66]) ).
tcf(c_45276,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45275,c_13506]) ).
tcf(c_45280,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45274,c_13506]) ).
tcf(c_45285,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xm,xq),X0)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45273,c_13506]) ).
tcf(c_45289,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45272,c_13506]) ).
tcf(c_45297,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14612,c_68]) ).
tcf(c_45298,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14612,c_67]) ).
tcf(c_45299,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14612,c_143]) ).
tcf(c_45300,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14612,c_77]) ).
tcf(c_45301,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sdtpldt0(X0,xn))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_14612,c_63]) ).
tcf(c_45302,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xn,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_14612,c_69]) ).
tcf(c_45303,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14612,c_61]) ).
tcf(c_45304,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ doDivides0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14612,c_78]) ).
tcf(c_45305,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_14612,c_70]) ).
tcf(c_45306,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xn,sdtpldt0(xl,xm)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14612,c_61]) ).
tcf(c_45307,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14612,c_63]) ).
tcf(c_45308,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_45300,c_51,c_2931]) ).
tcf(c_45309,plain,
sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_45299,c_51,c_2931]) ).
tcf(c_45313,plain,
sdtpldt0(xn,sdtpldt0(xl,xm)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_45298,c_3442,c_51,c_2931]) ).
tcf(c_45314,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45305,c_51,c_2931]) ).
tcf(c_45318,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45304,c_51,c_2931]) ).
tcf(c_45323,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xn,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45302,c_51,c_2931]) ).
tcf(c_45327,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xn,sdtpldt0(xl,xm)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45306,c_51,c_2931]) ).
tcf(c_45332,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45303,c_51,c_2931]) ).
tcf(c_45337,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45307,c_51,c_2931]) ).
tcf(c_45342,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sdtpldt0(X0,xn))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45301,c_51,c_2931]) ).
tcf(c_45409,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_45308,c_4999]) ).
tcf(c_45410,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xr) = sdtasdt0(xr,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_45308,c_4997]) ).
tcf(c_45411,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xl,xm))),xr) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_45308,c_4996]) ).
tcf(c_45412,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xq) = sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_45308,c_4945]) ).
tcf(c_45413,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xq) = sdtasdt0(xq,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_45308,c_4943]) ).
tcf(c_45414,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xl,xm))),xq) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_45308,c_4942]) ).
tcf(c_45415,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_45308,c_4262]) ).
tcf(c_45416,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_45308,c_4260]) ).
tcf(c_45417,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xl,xm))),xp) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_45308,c_4259]) ).
tcf(c_45418,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))),xl) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_45308,c_4186]) ).
tcf(c_45419,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sdtpldt0(xn,sdtpldt0(xl,xm)))) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_45308,c_4041]) ).
tcf(c_45420,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sK0(sdtpldt0(xn,sdtpldt0(xl,xm)),sdtpldt0(xn,sdtpldt0(xl,xm)))) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_45308,c_3458]) ).
tcf(c_45421,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))),sz00) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_45308,c_3195]) ).
tcf(c_45422,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))),xn) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_45308,c_3190]) ).
tcf(c_45423,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))),xm) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_45308,c_3189]) ).
tcf(c_45424,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))),xl) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_45308,c_3188]) ).
tcf(c_45425,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_45308,c_3101]) ).
tcf(c_45426,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_45308,c_3096]) ).
tcf(c_45427,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_45308,c_3095]) ).
tcf(c_45428,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_45308,c_3094]) ).
tcf(c_45429,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_45308,c_2815]) ).
tcf(c_45430,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_45308,c_2811]) ).
tcf(c_45431,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_45308,c_2810]) ).
tcf(c_45432,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xl,xm))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45308,c_72]) ).
tcf(c_45433,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xm)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45308,c_71]) ).
tcf(c_45434,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xn,sdtpldt0(xl,xm))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45308,c_105]) ).
tcf(c_45435,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xl,xm))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45308,c_75]) ).
tcf(c_45436,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0),sdtpldt0(xn,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45308,c_153]) ).
tcf(c_45437,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0),sdtpldt0(xn,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45308,c_146]) ).
tcf(c_45438,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45308,c_106]) ).
tcf(c_45439,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_45308,c_2809]) ).
tcf(c_45440,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45308,c_76]) ).
tcf(c_45441,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_45308,c_92]) ).
tcf(c_45442,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_45308,c_91]) ).
tcf(c_45443,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_45308,c_74]) ).
tcf(c_45444,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sz00) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_45308,c_73]) ).
tcf(c_45487,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_45309,c_99]) ).
tcf(c_45488,plain,
( ( sdtpldt0(sdtpldt0(xl,xm),sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) = sdtpldt0(xn,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_45309,c_104]) ).
tcf(c_45489,plain,
( ( sdtpldt0(xn,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_45309,c_100]) ).
tcf(c_45490,plain,
( ( sdtpldt0(sdtpldt0(xl,xm),sK0(sdtpldt0(xl,xm),sdtpldt0(xn,sdtpldt0(xl,xm)))) = sdtpldt0(xn,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_45309,c_66]) ).
tcf(c_45491,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45487,c_2931,c_45308]) ).
tcf(c_45495,plain,
sdtpldt0(sdtpldt0(xl,xm),sK0(sdtpldt0(xl,xm),sdtpldt0(xn,sdtpldt0(xl,xm)))) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_45490,c_2931,c_45308]) ).
tcf(c_45496,plain,
( ( sdtpldt0(xn,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45489,c_2931,c_45308]) ).
tcf(c_45499,plain,
sdtpldt0(sdtpldt0(xl,xm),sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_45488,c_2931,c_45308]) ).
tcf(c_45501,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_45441,c_87]) ).
tcf(c_45504,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_45441,c_90]) ).
tcf(c_45510,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_45441,c_87]) ).
tcf(c_45513,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xm))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45504,c_45313,c_93,c_45308]) ).
tcf(c_45517,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45510,c_45313,c_93,c_45308]) ).
tcf(c_45522,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45501,c_45313,c_93,c_45308]) ).
tcf(c_45529,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_45442,c_85]) ).
tcf(c_45534,plain,
( doDivides0(sdtpldt0(xn,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_45442,c_140]) ).
tcf(c_45537,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_45442,c_89]) ).
tcf(c_45538,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_45442,c_85]) ).
tcf(c_45539,plain,
doDivides0(sdtpldt0(xn,sdtpldt0(xl,xm)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_45534,c_93,c_45308]) ).
tcf(c_45540,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45537,c_45313,c_93,c_45308]) ).
tcf(c_45544,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45538,c_45313,c_93,c_45308]) ).
tcf(c_45549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45529,c_45313,c_93,c_45308]) ).
tcf(c_45618,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_45539,c_79]) ).
tcf(c_45619,plain,
( ( sdtpldt0(xn,sdtpldt0(xl,xm)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_45539,c_96]) ).
tcf(c_45620,plain,
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sK1(sdtpldt0(xn,sdtpldt0(xl,xm)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_45539,c_82]) ).
tcf(c_45621,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45618,c_93,c_45308]) ).
tcf(c_45625,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sK1(sdtpldt0(xn,sdtpldt0(xl,xm)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_45620,c_93,c_45308]) ).
tcf(c_45626,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_45619,c_45313,c_93,c_45308]) ).
tcf(c_45629,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14613,c_68]) ).
tcf(c_45630,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14613,c_67]) ).
tcf(c_45631,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xn,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14613,c_143]) ).
tcf(c_45632,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14613,c_77]) ).
tcf(c_45633,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sdtpldt0(X0,xn))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_14613,c_63]) ).
tcf(c_45634,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xn,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_14613,c_69]) ).
tcf(c_45635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14613,c_61]) ).
tcf(c_45636,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ doDivides0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14613,c_78]) ).
tcf(c_45637,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_14613,c_70]) ).
tcf(c_45638,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xn,sdtpldt0(xl,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14613,c_61]) ).
tcf(c_45639,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14613,c_63]) ).
tcf(c_45640,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_45632,c_51,c_2971]) ).
tcf(c_45641,plain,
sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_45631,c_51,c_2971]) ).
tcf(c_45645,plain,
sdtpldt0(xn,sdtpldt0(xl,xn)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_45630,c_3441,c_51,c_2971]) ).
tcf(c_45646,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45637,c_51,c_2971]) ).
tcf(c_45650,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45636,c_51,c_2971]) ).
tcf(c_45655,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xn,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45634,c_51,c_2971]) ).
tcf(c_45659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xn,sdtpldt0(xl,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45638,c_51,c_2971]) ).
tcf(c_45664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45635,c_51,c_2971]) ).
tcf(c_45669,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45639,c_51,c_2971]) ).
tcf(c_45674,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sdtpldt0(X0,xn))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45633,c_51,c_2971]) ).
tcf(c_45777,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_45640,c_4999]) ).
tcf(c_45778,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xr) = sdtasdt0(xr,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_45640,c_4997]) ).
tcf(c_45779,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xl,xn))),xr) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_45640,c_4996]) ).
tcf(c_45780,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xq) = sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_45640,c_4945]) ).
tcf(c_45781,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xq) = sdtasdt0(xq,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_45640,c_4943]) ).
tcf(c_45782,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xl,xn))),xq) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_45640,c_4942]) ).
tcf(c_45783,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_45640,c_4262]) ).
tcf(c_45784,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_45640,c_4260]) ).
tcf(c_45785,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xl,xn))),xp) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_45640,c_4259]) ).
tcf(c_45786,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))),xl) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_45640,c_4186]) ).
tcf(c_45787,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sdtpldt0(xn,sdtpldt0(xl,xn)))) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_45640,c_4041]) ).
tcf(c_45788,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sK0(sdtpldt0(xn,sdtpldt0(xl,xn)),sdtpldt0(xn,sdtpldt0(xl,xn)))) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_45640,c_3458]) ).
tcf(c_45789,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))),sz00) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_45640,c_3195]) ).
tcf(c_45790,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))),xn) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_45640,c_3190]) ).
tcf(c_45791,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))),xm) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_45640,c_3189]) ).
tcf(c_45792,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))),xl) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_45640,c_3188]) ).
tcf(c_45793,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_45640,c_3101]) ).
tcf(c_45794,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_45640,c_3096]) ).
tcf(c_45795,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_45640,c_3095]) ).
tcf(c_45796,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_45640,c_3094]) ).
tcf(c_45797,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_45640,c_2815]) ).
tcf(c_45798,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_45640,c_2811]) ).
tcf(c_45799,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_45640,c_2810]) ).
tcf(c_45800,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xl,xn))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45640,c_72]) ).
tcf(c_45801,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xn)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45640,c_71]) ).
tcf(c_45802,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xn,sdtpldt0(xl,xn))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45640,c_105]) ).
tcf(c_45803,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xl,xn))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45640,c_75]) ).
tcf(c_45804,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0),sdtpldt0(xn,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45640,c_153]) ).
tcf(c_45805,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0),sdtpldt0(xn,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45640,c_146]) ).
tcf(c_45806,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45640,c_106]) ).
tcf(c_45807,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_45640,c_2809]) ).
tcf(c_45808,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45640,c_76]) ).
tcf(c_45809,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_45640,c_92]) ).
tcf(c_45810,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_45640,c_91]) ).
tcf(c_45811,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_45640,c_74]) ).
tcf(c_45812,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sz00) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_45640,c_73]) ).
tcf(c_45906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_12367,c_63]) ).
tcf(c_45907,plain,
! [X0: $i] :
( ( sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_12367,c_69]) ).
tcf(c_45908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)),X0) ),
inference(superposition,[status(thm)],[c_12367,c_61]) ).
tcf(c_45910,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ( sdtpldt0(X0,sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_12367,c_70]) ).
tcf(c_45911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,xp))
| ( sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_12367,c_61]) ).
tcf(c_45912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))),sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_12367,c_63]) ).
tcf(c_45913,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ( sdtpldt0(X0,sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45910,c_7844]) ).
tcf(c_45918,plain,
! [X0: $i] :
( ( sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45907,c_7844]) ).
tcf(c_45923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))),sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45912,c_7844]) ).
tcf(c_45929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45906,c_7844]) ).
tcf(c_45935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,xp))
| ( sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45911,c_7844]) ).
tcf(c_45941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45908,c_7844]) ).
tcf(c_45952,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_45641,c_99]) ).
tcf(c_45953,plain,
( ( sdtpldt0(sdtpldt0(xl,xn),sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) = sdtpldt0(xn,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_45641,c_104]) ).
tcf(c_45954,plain,
( ( sdtpldt0(xn,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_45641,c_100]) ).
tcf(c_45955,plain,
( ( sdtpldt0(sdtpldt0(xl,xn),sK0(sdtpldt0(xl,xn),sdtpldt0(xn,sdtpldt0(xl,xn)))) = sdtpldt0(xn,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_45641,c_66]) ).
tcf(c_45956,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45952,c_2971,c_45640]) ).
tcf(c_45960,plain,
sdtpldt0(sdtpldt0(xl,xn),sK0(sdtpldt0(xl,xn),sdtpldt0(xn,sdtpldt0(xl,xn)))) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_45955,c_2971,c_45640]) ).
tcf(c_45961,plain,
( ( sdtpldt0(xn,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45954,c_2971,c_45640]) ).
tcf(c_45964,plain,
sdtpldt0(sdtpldt0(xl,xn),sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_45953,c_2971,c_45640]) ).
tcf(c_46017,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xn))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_45809,c_87]) ).
tcf(c_46020,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_45809,c_90]) ).
tcf(c_46026,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_45809,c_87]) ).
tcf(c_46029,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xn))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46020,c_45645,c_93,c_45640]) ).
tcf(c_46033,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46026,c_45645,c_93,c_45640]) ).
tcf(c_46038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xn))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46017,c_45645,c_93,c_45640]) ).
tcf(c_46045,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_45810,c_85]) ).
tcf(c_46050,plain,
( doDivides0(sdtpldt0(xn,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_45810,c_140]) ).
tcf(c_46053,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_45810,c_89]) ).
tcf(c_46054,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_45810,c_85]) ).
tcf(c_46055,plain,
doDivides0(sdtpldt0(xn,sdtpldt0(xl,xn)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_46050,c_93,c_45640]) ).
tcf(c_46056,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46053,c_45645,c_93,c_45640]) ).
tcf(c_46060,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46054,c_45645,c_93,c_45640]) ).
tcf(c_46065,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46045,c_45645,c_93,c_45640]) ).
tcf(c_46126,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_46055,c_79]) ).
tcf(c_46127,plain,
( ( sdtpldt0(xn,sdtpldt0(xl,xn)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_46055,c_96]) ).
tcf(c_46128,plain,
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sK1(sdtpldt0(xn,sdtpldt0(xl,xn)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_46055,c_82]) ).
tcf(c_46129,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46126,c_93,c_45640]) ).
tcf(c_46133,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sK1(sdtpldt0(xn,sdtpldt0(xl,xn)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_46128,c_93,c_45640]) ).
tcf(c_46134,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_46127,c_45645,c_93,c_45640]) ).
tcf(c_46137,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14619,c_68]) ).
tcf(c_46138,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14619,c_67]) ).
tcf(c_46139,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xn,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14619,c_143]) ).
tcf(c_46140,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14619,c_77]) ).
tcf(c_46141,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sdtpldt0(X0,xn))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0) ),
inference(superposition,[status(thm)],[c_14619,c_63]) ).
tcf(c_46142,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),X0) != sdtpldt0(xn,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_14619,c_69]) ).
tcf(c_46143,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sdtpldt0(sdtpldt0(xm,xn),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14619,c_61]) ).
tcf(c_46144,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ doDivides0(X0,sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14619,c_78]) ).
tcf(c_46145,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_14619,c_70]) ).
tcf(c_46146,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xn),X0),sdtpldt0(xn,sdtpldt0(xm,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14619,c_61]) ).
tcf(c_46147,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14619,c_63]) ).
tcf(c_46148,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_46140,c_51,c_12823]) ).
tcf(c_46149,plain,
sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_46139,c_51,c_12823]) ).
tcf(c_46150,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46137,c_51,c_12823]) ).
tcf(c_46153,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46138,c_51,c_12823]) ).
tcf(c_46156,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46145,c_51,c_12823]) ).
tcf(c_46160,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46144,c_51,c_12823]) ).
tcf(c_46165,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xn),X0) != sdtpldt0(xn,sdtpldt0(xm,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46142,c_51,c_12823]) ).
tcf(c_46169,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xn),X0),sdtpldt0(xn,sdtpldt0(xm,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46146,c_51,c_12823]) ).
tcf(c_46174,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sdtpldt0(sdtpldt0(xm,xn),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46143,c_51,c_12823]) ).
tcf(c_46179,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46147,c_51,c_12823]) ).
tcf(c_46184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sdtpldt0(X0,xn))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46141,c_51,c_12823]) ).
tcf(c_46195,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_46148,c_4999]) ).
tcf(c_46196,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xr) = sdtasdt0(xr,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_46148,c_4997]) ).
tcf(c_46197,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xm,xn))),xr) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_46148,c_4996]) ).
tcf(c_46198,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xq) = sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_46148,c_4945]) ).
tcf(c_46199,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xq) = sdtasdt0(xq,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_46148,c_4943]) ).
tcf(c_46200,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xm,xn))),xq) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_46148,c_4942]) ).
tcf(c_46201,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_46148,c_4262]) ).
tcf(c_46202,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_46148,c_4260]) ).
tcf(c_46203,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xm,xn))),xp) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_46148,c_4259]) ).
tcf(c_46204,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))),xl) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_46148,c_4186]) ).
tcf(c_46205,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sdtpldt0(xn,sdtpldt0(xm,xn)))) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_46148,c_4041]) ).
tcf(c_46206,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sK0(sdtpldt0(xn,sdtpldt0(xm,xn)),sdtpldt0(xn,sdtpldt0(xm,xn)))) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_46148,c_3458]) ).
tcf(c_46207,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))),sz00) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_46148,c_3195]) ).
tcf(c_46208,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))),xn) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_46148,c_3190]) ).
tcf(c_46209,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))),xm) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_46148,c_3189]) ).
tcf(c_46210,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))),xl) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_46148,c_3188]) ).
tcf(c_46211,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_46148,c_3101]) ).
tcf(c_46212,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_46148,c_3096]) ).
tcf(c_46213,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_46148,c_3095]) ).
tcf(c_46214,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_46148,c_3094]) ).
tcf(c_46215,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_46148,c_2815]) ).
tcf(c_46216,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_46148,c_2811]) ).
tcf(c_46217,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_46148,c_2810]) ).
tcf(c_46218,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xm,xn))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46148,c_72]) ).
tcf(c_46219,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xn)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46148,c_71]) ).
tcf(c_46220,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xn,sdtpldt0(xm,xn))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46148,c_105]) ).
tcf(c_46221,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xm,xn))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46148,c_75]) ).
tcf(c_46222,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0),sdtpldt0(xn,sdtpldt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46148,c_153]) ).
tcf(c_46223,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0),sdtpldt0(xn,sdtpldt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46148,c_146]) ).
tcf(c_46224,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46148,c_106]) ).
tcf(c_46225,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_46148,c_2809]) ).
tcf(c_46226,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46148,c_76]) ).
tcf(c_46227,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_46148,c_92]) ).
tcf(c_46228,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_46148,c_91]) ).
tcf(c_46229,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_46148,c_74]) ).
tcf(c_46230,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sz00) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_46148,c_73]) ).
tcf(c_46356,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_46149,c_99]) ).
tcf(c_46357,plain,
( ( sdtpldt0(sdtpldt0(xm,xn),sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sdtpldt0(xm,xn))) = sdtpldt0(xn,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_46149,c_104]) ).
tcf(c_46358,plain,
( ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_46149,c_100]) ).
tcf(c_46359,plain,
( ( sdtpldt0(sdtpldt0(xm,xn),sK0(sdtpldt0(xm,xn),sdtpldt0(xn,sdtpldt0(xm,xn)))) = sdtpldt0(xn,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_46149,c_66]) ).
tcf(c_46360,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46356,c_12823,c_46148]) ).
tcf(c_46364,plain,
sdtpldt0(sdtpldt0(xm,xn),sK0(sdtpldt0(xm,xn),sdtpldt0(xn,sdtpldt0(xm,xn)))) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_46359,c_12823,c_46148]) ).
tcf(c_46365,plain,
( ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sdtpldt0(xm,xn) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46358,c_12823,c_46148]) ).
tcf(c_46368,plain,
sdtpldt0(sdtpldt0(xm,xn),sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sdtpldt0(xm,xn))) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_46357,c_12823,c_46148]) ).
tcf(c_46370,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xn))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_46227,c_87]) ).
tcf(c_46373,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_46227,c_90]) ).
tcf(c_46379,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xn))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_46227,c_87]) ).
tcf(c_46382,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xn))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46373,c_93,c_46148]) ).
tcf(c_46387,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xn))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46379,c_93,c_46148]) ).
tcf(c_46393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xn))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46370,c_93,c_46148]) ).
tcf(c_46421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_46228,c_85]) ).
tcf(c_46426,plain,
( doDivides0(sdtpldt0(xn,sdtpldt0(xm,xn)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_46228,c_140]) ).
tcf(c_46429,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_46228,c_89]) ).
tcf(c_46430,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_46228,c_85]) ).
tcf(c_46431,plain,
doDivides0(sdtpldt0(xn,sdtpldt0(xm,xn)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_46426,c_93,c_46148]) ).
tcf(c_46432,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46429,c_93,c_46148]) ).
tcf(c_46437,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46430,c_93,c_46148]) ).
tcf(c_46443,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46421,c_93,c_46148]) ).
tcf(c_46541,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_46431,c_79]) ).
tcf(c_46542,plain,
( ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_46431,c_96]) ).
tcf(c_46543,plain,
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sK1(sdtpldt0(xn,sdtpldt0(xm,xn)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_46431,c_82]) ).
tcf(c_46544,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46541,c_93,c_46148]) ).
tcf(c_46548,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sK1(sdtpldt0(xn,sdtpldt0(xm,xn)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_46543,c_93,c_46148]) ).
tcf(c_46549,plain,
( ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46542,c_93,c_46148]) ).
tcf(c_46554,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(xn,sdtpldt0(xl,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14621,c_68]) ).
tcf(c_46555,plain,
( ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(xn,sdtpldt0(xl,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14621,c_67]) ).
tcf(c_46556,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xn,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_14621,c_143]) ).
tcf(c_46557,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_14621,c_77]) ).
tcf(c_46558,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sdtpldt0(X0,xn))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(superposition,[status(thm)],[c_14621,c_63]) ).
tcf(c_46559,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xn,sdtpldt0(xl,xp)) ) ),
inference(superposition,[status(thm)],[c_14621,c_69]) ).
tcf(c_46560,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_14621,c_61]) ).
tcf(c_46561,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ doDivides0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_14621,c_78]) ).
tcf(c_46562,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(xn,sdtpldt0(xl,xp)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_14621,c_70]) ).
tcf(c_46563,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xn,sdtpldt0(xl,xp)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_14621,c_61]) ).
tcf(c_46564,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_14621,c_63]) ).
tcf(c_46565,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_46557,c_51,c_7844]) ).
tcf(c_46566,plain,
sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xn,sdtpldt0(xl,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_46556,c_51,c_7844]) ).
tcf(c_46570,plain,
sdtpldt0(xn,sdtpldt0(xl,xp)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_46555,c_7849,c_51,c_7844]) ).
tcf(c_46571,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xl,xp)) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46562,c_51,c_7844]) ).
tcf(c_46575,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46561,c_51,c_7844]) ).
tcf(c_46580,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xn,sdtpldt0(xl,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46559,c_51,c_7844]) ).
tcf(c_46584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xn,sdtpldt0(xl,xp)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46563,c_51,c_7844]) ).
tcf(c_46589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46560,c_51,c_7844]) ).
tcf(c_46594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46564,c_51,c_7844]) ).
tcf(c_46599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sdtpldt0(X0,xn))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46558,c_51,c_7844]) ).
tcf(c_46610,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xp)),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_46565,c_4999]) ).
tcf(c_46611,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),xr) = sdtasdt0(xr,sdtpldt0(xn,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_46565,c_4997]) ).
tcf(c_46612,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xl,xp))),xr) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_46565,c_4996]) ).
tcf(c_46613,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xp)),xq) = sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_46565,c_4945]) ).
tcf(c_46614,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),xq) = sdtasdt0(xq,sdtpldt0(xn,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_46565,c_4943]) ).
tcf(c_46615,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xl,xp))),xq) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_46565,c_4942]) ).
tcf(c_46616,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xp)),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_46565,c_4262]) ).
tcf(c_46617,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_46565,c_4260]) ).
tcf(c_46618,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xl,xp))),xp) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_46565,c_4259]) ).
tcf(c_46619,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xp))),xl) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_46565,c_4186]) ).
tcf(c_46620,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sdtpldt0(xn,sdtpldt0(xl,xp)))) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_46565,c_4041]) ).
tcf(c_46621,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sK0(sdtpldt0(xn,sdtpldt0(xl,xp)),sdtpldt0(xn,sdtpldt0(xl,xp)))) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_46565,c_3458]) ).
tcf(c_46622,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xp))),sz00) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_46565,c_3195]) ).
tcf(c_46623,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xp))),xn) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_46565,c_3190]) ).
tcf(c_46624,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xp))),xm) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_46565,c_3189]) ).
tcf(c_46625,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xp))),xl) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_46565,c_3188]) ).
tcf(c_46626,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_46565,c_3101]) ).
tcf(c_46627,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_46565,c_3096]) ).
tcf(c_46628,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_46565,c_3095]) ).
tcf(c_46629,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_46565,c_3094]) ).
tcf(c_46630,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_46565,c_2815]) ).
tcf(c_46631,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xp)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_46565,c_2811]) ).
tcf(c_46632,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xp)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_46565,c_2810]) ).
tcf(c_46633,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xl,xp))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46565,c_72]) ).
tcf(c_46634,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xp)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46565,c_71]) ).
tcf(c_46635,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xn,sdtpldt0(xl,xp))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46565,c_105]) ).
tcf(c_46636,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xl,xp))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46565,c_75]) ).
tcf(c_46637,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xl,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),X0),sdtpldt0(xn,sdtpldt0(xl,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46565,c_153]) ).
tcf(c_46638,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xp)),X0),sdtpldt0(xn,sdtpldt0(xl,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46565,c_146]) ).
tcf(c_46639,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46565,c_106]) ).
tcf(c_46640,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xp)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_46565,c_2809]) ).
tcf(c_46641,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xp)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46565,c_76]) ).
tcf(c_46642,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xp))) = sz00,
inference(superposition,[status(thm)],[c_46565,c_92]) ).
tcf(c_46643,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sz00) = sz00,
inference(superposition,[status(thm)],[c_46565,c_91]) ).
tcf(c_46644,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xp))) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_46565,c_74]) ).
tcf(c_46645,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sz00) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_46565,c_73]) ).
tcf(c_46809,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_46566,c_99]) ).
tcf(c_46810,plain,
( ( sdtpldt0(sdtpldt0(xl,xp),sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sdtpldt0(xl,xp))) = sdtpldt0(xn,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_46566,c_104]) ).
tcf(c_46811,plain,
( ( sdtpldt0(xn,sdtpldt0(xl,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_46566,c_100]) ).
tcf(c_46812,plain,
( ( sdtpldt0(sdtpldt0(xl,xp),sK0(sdtpldt0(xl,xp),sdtpldt0(xn,sdtpldt0(xl,xp)))) = sdtpldt0(xn,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_46566,c_66]) ).
tcf(c_46813,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46809,c_7844,c_46565]) ).
tcf(c_46817,plain,
sdtpldt0(sdtpldt0(xl,xp),sK0(sdtpldt0(xl,xp),sdtpldt0(xn,sdtpldt0(xl,xp)))) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_46812,c_7844,c_46565]) ).
tcf(c_46818,plain,
( ( sdtpldt0(xn,sdtpldt0(xl,xp)) = sdtpldt0(xl,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46811,c_7844,c_46565]) ).
tcf(c_46821,plain,
sdtpldt0(sdtpldt0(xl,xp),sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sdtpldt0(xl,xp))) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_46810,c_7844,c_46565]) ).
tcf(c_46823,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xp))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_46642,c_87]) ).
tcf(c_46826,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xp)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_46642,c_90]) ).
tcf(c_46832,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_46642,c_87]) ).
tcf(c_46835,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46826,c_46570,c_93,c_46565]) ).
tcf(c_46839,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46832,c_46570,c_93,c_46565]) ).
tcf(c_46844,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xp))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46823,c_46570,c_93,c_46565]) ).
tcf(c_46855,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_12368,c_63]) ).
tcf(c_46856,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_12368,c_69]) ).
tcf(c_46857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)),X0) ),
inference(superposition,[status(thm)],[c_12368,c_61]) ).
tcf(c_46859,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_12368,c_70]) ).
tcf(c_46860,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,xp))
| ( sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_12368,c_61]) ).
tcf(c_46861,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))),sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_12368,c_63]) ).
tcf(c_46862,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46859,c_7844]) ).
tcf(c_46867,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46856,c_7844]) ).
tcf(c_46872,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))),sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46861,c_7844]) ).
tcf(c_46878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46855,c_7844]) ).
tcf(c_46884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,xp))
| ( sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46860,c_7844]) ).
tcf(c_46890,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46857,c_7844]) ).
tcf(c_46959,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_46643,c_85]) ).
tcf(c_46964,plain,
( doDivides0(sdtpldt0(xn,sdtpldt0(xl,xp)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_46643,c_140]) ).
tcf(c_46967,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xp)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_46643,c_89]) ).
tcf(c_46968,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_46643,c_85]) ).
tcf(c_46969,plain,
doDivides0(sdtpldt0(xn,sdtpldt0(xl,xp)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_46964,c_93,c_46565]) ).
tcf(c_46970,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46967,c_46570,c_93,c_46565]) ).
tcf(c_46974,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46968,c_46570,c_93,c_46565]) ).
tcf(c_46979,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46959,c_46570,c_93,c_46565]) ).
tcf(c_46984,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xp)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_46969,c_79]) ).
tcf(c_46985,plain,
( ( sdtpldt0(xn,sdtpldt0(xl,xp)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xp)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_46969,c_96]) ).
tcf(c_46986,plain,
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sK1(sdtpldt0(xn,sdtpldt0(xl,xp)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_46969,c_82]) ).
tcf(c_46987,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46984,c_93,c_46565]) ).
tcf(c_46991,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sK1(sdtpldt0(xn,sdtpldt0(xl,xp)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_46986,c_93,c_46565]) ).
tcf(c_46992,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xp)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xp)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_46985,c_46570,c_93,c_46565]) ).
tcf(c_46993,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xm,sdtasdt0(xl,xm))),sdtasdt0(xl,xm))
| ( X0 = xm )
| ( sK1(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_15135,c_87]) ).
tcf(c_46995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xl,xm))
| ( xm = sz00 )
| ( sK1(xm,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sdtasdt0(xl,xm)))
| ~ sdtlseqdt0(X0,sK1(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_15135,c_85]) ).
tcf(c_46996,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK1(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sK1(xm,sdtasdt0(xl,xm))) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_15135,c_90]) ).
tcf(c_46999,plain,
( ( xm = sz00 )
| ( sK1(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(xl,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_15135,c_88]) ).
tcf(c_47002,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(X0,sK1(xm,sdtasdt0(xl,xm))))
| ( X0 = xm )
| ( sK1(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK1(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_15135,c_87]) ).
tcf(c_47003,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK1(xm,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(xm,X0) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_15135,c_89]) ).
tcf(c_47004,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK1(xm,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sdtasdt0(xl,xm)))
| ~ sdtlseqdt0(sK1(xm,sdtasdt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_15135,c_85]) ).
tcf(c_47005,plain,
( ( xm = sz00 )
| ( sK1(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sK1(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(xl,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46999,c_50]) ).
tcf(c_47010,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK1(xm,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(xm,X0) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47003,c_50]) ).
tcf(c_47016,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK1(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sK1(xm,sdtasdt0(xl,xm))) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46996,c_50]) ).
tcf(c_47022,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK1(xm,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sdtasdt0(xl,xm)))
| ~ sdtlseqdt0(sK1(xm,sdtasdt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47004,c_50]) ).
tcf(c_47029,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(X0,sK1(xm,sdtasdt0(xl,xm))))
| ( X0 = xm )
| ( sK1(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK1(xm,sdtasdt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47002,c_50]) ).
tcf(c_47036,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xl,xm))
| ( xm = sz00 )
| ( sK1(xm,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sdtasdt0(xl,xm)))
| ~ sdtlseqdt0(X0,sK1(xm,sdtasdt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46995,c_50]) ).
tcf(c_47043,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xm,sdtasdt0(xl,xm))),sdtasdt0(xl,xm))
| ( X0 = xm )
| ( sK1(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,sdtasdt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46993,c_50]) ).
tcf(c_47062,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xm)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15136,c_79]) ).
tcf(c_47063,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xl,xm),X0)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15136,c_96]) ).
tcf(c_47064,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK1(X0,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15136,c_82]) ).
tcf(c_47065,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK1(X0,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47064,c_15012]) ).
tcf(c_47069,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xm)
| ~ doDivides0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47062,c_15012]) ).
tcf(c_47075,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xl,xm),X0)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47063,c_15012]) ).
tcf(c_47084,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(xn,sdtpldt0(xl,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14622,c_68]) ).
tcf(c_47085,plain,
( ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(xn,sdtpldt0(xl,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14622,c_67]) ).
tcf(c_47086,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xn,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14622,c_143]) ).
tcf(c_47087,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14622,c_77]) ).
tcf(c_47088,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sdtpldt0(X0,xn))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_14622,c_63]) ).
tcf(c_47089,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xn,sdtpldt0(xl,xq)) ) ),
inference(superposition,[status(thm)],[c_14622,c_69]) ).
tcf(c_47090,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14622,c_61]) ).
tcf(c_47091,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ doDivides0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14622,c_78]) ).
tcf(c_47092,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(xn,sdtpldt0(xl,xq)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_14622,c_70]) ).
tcf(c_47093,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xn,sdtpldt0(xl,xq)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14622,c_61]) ).
tcf(c_47094,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xl,xq)))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14622,c_63]) ).
tcf(c_47095,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_47087,c_51,c_9733]) ).
tcf(c_47096,plain,
sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xn,sdtpldt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_47086,c_51,c_9733]) ).
tcf(c_47100,plain,
sdtpldt0(xn,sdtpldt0(xl,xq)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_47085,c_9738,c_51,c_9733]) ).
tcf(c_47101,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xl,xq)) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47092,c_51,c_9733]) ).
tcf(c_47105,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47091,c_51,c_9733]) ).
tcf(c_47110,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xn,sdtpldt0(xl,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47089,c_51,c_9733]) ).
tcf(c_47114,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xn,sdtpldt0(xl,xq)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47093,c_51,c_9733]) ).
tcf(c_47119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47090,c_51,c_9733]) ).
tcf(c_47124,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xl,xq)))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47094,c_51,c_9733]) ).
tcf(c_47129,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sdtpldt0(X0,xn))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47088,c_51,c_9733]) ).
tcf(c_47140,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xq)),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_47095,c_4999]) ).
tcf(c_47141,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),xr) = sdtasdt0(xr,sdtpldt0(xn,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_47095,c_4997]) ).
tcf(c_47142,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xl,xq))),xr) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_47095,c_4996]) ).
tcf(c_47143,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xq)),xq) = sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_47095,c_4945]) ).
tcf(c_47144,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),xq) = sdtasdt0(xq,sdtpldt0(xn,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_47095,c_4943]) ).
tcf(c_47145,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xl,xq))),xq) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_47095,c_4942]) ).
tcf(c_47146,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xq)),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_47095,c_4262]) ).
tcf(c_47147,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_47095,c_4260]) ).
tcf(c_47148,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xl,xq))),xp) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_47095,c_4259]) ).
tcf(c_47149,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xq))),xl) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_47095,c_4186]) ).
tcf(c_47150,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sdtpldt0(xn,sdtpldt0(xl,xq)))) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_47095,c_4041]) ).
tcf(c_47151,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sK0(sdtpldt0(xn,sdtpldt0(xl,xq)),sdtpldt0(xn,sdtpldt0(xl,xq)))) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_47095,c_3458]) ).
tcf(c_47152,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xq))),sz00) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_47095,c_3195]) ).
tcf(c_47153,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xq))),xn) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_47095,c_3190]) ).
tcf(c_47154,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xq))),xm) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_47095,c_3189]) ).
tcf(c_47155,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xq))),xl) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_47095,c_3188]) ).
tcf(c_47156,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_47095,c_3101]) ).
tcf(c_47157,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_47095,c_3096]) ).
tcf(c_47158,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_47095,c_3095]) ).
tcf(c_47159,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_47095,c_3094]) ).
tcf(c_47160,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_47095,c_2815]) ).
tcf(c_47161,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xq)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_47095,c_2811]) ).
tcf(c_47162,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xq)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_47095,c_2810]) ).
tcf(c_47163,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xl,xq))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47095,c_72]) ).
tcf(c_47164,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47095,c_71]) ).
tcf(c_47165,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xn,sdtpldt0(xl,xq))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47095,c_105]) ).
tcf(c_47166,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xl,xq))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47095,c_75]) ).
tcf(c_47167,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xl,xq)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),X0),sdtpldt0(xn,sdtpldt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47095,c_153]) ).
tcf(c_47168,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xq)),X0),sdtpldt0(xn,sdtpldt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47095,c_146]) ).
tcf(c_47169,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47095,c_106]) ).
tcf(c_47170,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xq)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_47095,c_2809]) ).
tcf(c_47171,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xq)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47095,c_76]) ).
tcf(c_47172,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xq))) = sz00,
inference(superposition,[status(thm)],[c_47095,c_92]) ).
tcf(c_47173,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_47095,c_91]) ).
tcf(c_47174,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xq))) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_47095,c_74]) ).
tcf(c_47175,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sz00) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_47095,c_73]) ).
tcf(c_47263,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_47096,c_99]) ).
tcf(c_47264,plain,
( ( sdtpldt0(sdtpldt0(xl,xq),sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sdtpldt0(xl,xq))) = sdtpldt0(xn,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_47096,c_104]) ).
tcf(c_47265,plain,
( ( sdtpldt0(xn,sdtpldt0(xl,xq)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_47096,c_100]) ).
tcf(c_47266,plain,
( ( sdtpldt0(sdtpldt0(xl,xq),sK0(sdtpldt0(xl,xq),sdtpldt0(xn,sdtpldt0(xl,xq)))) = sdtpldt0(xn,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_47096,c_66]) ).
tcf(c_47267,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47263,c_9733,c_47095]) ).
tcf(c_47271,plain,
sdtpldt0(sdtpldt0(xl,xq),sK0(sdtpldt0(xl,xq),sdtpldt0(xn,sdtpldt0(xl,xq)))) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_47266,c_9733,c_47095]) ).
tcf(c_47272,plain,
( ( sdtpldt0(xn,sdtpldt0(xl,xq)) = sdtpldt0(xl,xq) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47265,c_9733,c_47095]) ).
tcf(c_47275,plain,
sdtpldt0(sdtpldt0(xl,xq),sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sdtpldt0(xl,xq))) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_47264,c_9733,c_47095]) ).
tcf(c_47277,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xq))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_47172,c_87]) ).
tcf(c_47280,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xq)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_47172,c_90]) ).
tcf(c_47286,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xq))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_47172,c_87]) ).
tcf(c_47289,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47280,c_47100,c_93,c_47095]) ).
tcf(c_47293,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47286,c_47100,c_93,c_47095]) ).
tcf(c_47298,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xq))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47277,c_47100,c_93,c_47095]) ).
tcf(c_47305,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_47173,c_85]) ).
tcf(c_47310,plain,
( doDivides0(sdtpldt0(xn,sdtpldt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_47173,c_140]) ).
tcf(c_47313,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xq)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_47173,c_89]) ).
tcf(c_47314,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_47173,c_85]) ).
tcf(c_47315,plain,
doDivides0(sdtpldt0(xn,sdtpldt0(xl,xq)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_47310,c_93,c_47095]) ).
tcf(c_47316,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47313,c_47100,c_93,c_47095]) ).
tcf(c_47320,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47314,c_47100,c_93,c_47095]) ).
tcf(c_47325,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47305,c_47100,c_93,c_47095]) ).
tcf(c_47330,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xq)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_47315,c_79]) ).
tcf(c_47331,plain,
( ( sdtpldt0(xn,sdtpldt0(xl,xq)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xq)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_47315,c_96]) ).
tcf(c_47332,plain,
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sK1(sdtpldt0(xn,sdtpldt0(xl,xq)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_47315,c_82]) ).
tcf(c_47333,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47330,c_93,c_47095]) ).
tcf(c_47337,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sK1(sdtpldt0(xn,sdtpldt0(xl,xq)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_47332,c_93,c_47095]) ).
tcf(c_47338,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xq)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xq)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_47331,c_47100,c_93,c_47095]) ).
tcf(c_47356,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtpldt0(xn,sdtpldt0(xl,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14623,c_68]) ).
tcf(c_47357,plain,
( ( sdtpldt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtpldt0(xn,sdtpldt0(xl,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14623,c_67]) ).
tcf(c_47358,plain,
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(xn,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_14623,c_143]) ).
tcf(c_47359,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_14623,c_77]) ).
tcf(c_47360,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sdtpldt0(X0,xn))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0) ),
inference(superposition,[status(thm)],[c_14623,c_63]) ).
tcf(c_47361,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtpldt0(sdtpldt0(xl,xr),X0) != sdtpldt0(xn,sdtpldt0(xl,xr)) ) ),
inference(superposition,[status(thm)],[c_14623,c_69]) ).
tcf(c_47362,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sdtpldt0(sdtpldt0(xl,xr),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_14623,c_61]) ).
tcf(c_47363,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ doDivides0(X0,sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_14623,c_78]) ).
tcf(c_47364,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtpldt0(xn,sdtpldt0(xl,xr)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_14623,c_70]) ).
tcf(c_47365,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xr),X0),sdtpldt0(xn,sdtpldt0(xl,xr)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_14623,c_61]) ).
tcf(c_47366,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xl,xr)))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_14623,c_63]) ).
tcf(c_47367,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_47359,c_51,c_10141]) ).
tcf(c_47368,plain,
sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(xn,sdtpldt0(xl,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_47358,c_51,c_10141]) ).
tcf(c_47372,plain,
sdtpldt0(xn,sdtpldt0(xl,xr)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_47357,c_10146,c_51,c_10141]) ).
tcf(c_47373,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xl,xr)) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47364,c_51,c_10141]) ).
tcf(c_47377,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47363,c_51,c_10141]) ).
tcf(c_47382,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xr),X0) != sdtpldt0(xn,sdtpldt0(xl,xr)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47361,c_51,c_10141]) ).
tcf(c_47386,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xr),X0),sdtpldt0(xn,sdtpldt0(xl,xr)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47365,c_51,c_10141]) ).
tcf(c_47391,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sdtpldt0(sdtpldt0(xl,xr),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47362,c_51,c_10141]) ).
tcf(c_47396,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xl,xr)))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47366,c_51,c_10141]) ).
tcf(c_47401,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sdtpldt0(X0,xn))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47360,c_51,c_10141]) ).
tcf(c_47452,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xr)),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_47367,c_4999]) ).
tcf(c_47453,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),xr) = sdtasdt0(xr,sdtpldt0(xn,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_47367,c_4997]) ).
tcf(c_47454,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xl,xr))),xr) = sdtpldt0(xn,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_47367,c_4996]) ).
tcf(c_47455,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xr)),xq) = sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_47367,c_4945]) ).
tcf(c_47456,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),xq) = sdtasdt0(xq,sdtpldt0(xn,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_47367,c_4943]) ).
tcf(c_47457,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xl,xr))),xq) = sdtpldt0(xn,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_47367,c_4942]) ).
tcf(c_47458,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xr)),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_47367,c_4262]) ).
tcf(c_47459,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_47367,c_4260]) ).
tcf(c_47460,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xl,xr))),xp) = sdtpldt0(xn,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_47367,c_4259]) ).
tcf(c_47461,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xr))),xl) = sdtpldt0(xn,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_47367,c_4186]) ).
tcf(c_47462,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sdtpldt0(xn,sdtpldt0(xl,xr)))) = sdtpldt0(xn,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_47367,c_4041]) ).
tcf(c_47463,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sK0(sdtpldt0(xn,sdtpldt0(xl,xr)),sdtpldt0(xn,sdtpldt0(xl,xr)))) = sdtpldt0(xn,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_47367,c_3458]) ).
tcf(c_47464,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xr))),sz00) = sdtpldt0(xn,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_47367,c_3195]) ).
tcf(c_47465,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xr))),xn) = sdtpldt0(xn,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_47367,c_3190]) ).
tcf(c_47466,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xr))),xm) = sdtpldt0(xn,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_47367,c_3189]) ).
tcf(c_47467,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xr))),xl) = sdtpldt0(xn,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_47367,c_3188]) ).
tcf(c_47468,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_47367,c_3101]) ).
tcf(c_47469,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_47367,c_3096]) ).
tcf(c_47470,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_47367,c_3095]) ).
tcf(c_47471,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_47367,c_3094]) ).
tcf(c_47472,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_47367,c_2815]) ).
tcf(c_47473,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xr)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_47367,c_2811]) ).
tcf(c_47474,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xr)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_47367,c_2810]) ).
tcf(c_47475,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xl,xr))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47367,c_72]) ).
tcf(c_47476,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xr)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xl,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47367,c_71]) ).
tcf(c_47477,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xn,sdtpldt0(xl,xr))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xl,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47367,c_105]) ).
tcf(c_47478,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xl,xr))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xl,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47367,c_75]) ).
tcf(c_47479,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xl,xr)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),X0),sdtpldt0(xn,sdtpldt0(xl,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47367,c_153]) ).
tcf(c_47480,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xr)),X0),sdtpldt0(xn,sdtpldt0(xl,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47367,c_146]) ).
tcf(c_47481,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47367,c_106]) ).
tcf(c_47482,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xr)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_47367,c_2809]) ).
tcf(c_47483,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xr)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xl,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47367,c_76]) ).
tcf(c_47484,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xr))) = sz00,
inference(superposition,[status(thm)],[c_47367,c_92]) ).
tcf(c_47485,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sz00) = sz00,
inference(superposition,[status(thm)],[c_47367,c_91]) ).
tcf(c_47486,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xr))) = sdtpldt0(xn,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_47367,c_74]) ).
tcf(c_47487,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sz00) = sdtpldt0(xn,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_47367,c_73]) ).
tcf(c_47594,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_47368,c_99]) ).
tcf(c_47595,plain,
( ( sdtpldt0(sdtpldt0(xl,xr),sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sdtpldt0(xl,xr))) = sdtpldt0(xn,sdtpldt0(xl,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_47368,c_104]) ).
tcf(c_47596,plain,
( ( sdtpldt0(xn,sdtpldt0(xl,xr)) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_47368,c_100]) ).
tcf(c_47597,plain,
( ( sdtpldt0(sdtpldt0(xl,xr),sK0(sdtpldt0(xl,xr),sdtpldt0(xn,sdtpldt0(xl,xr)))) = sdtpldt0(xn,sdtpldt0(xl,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_47368,c_66]) ).
tcf(c_47598,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47594,c_10141,c_47367]) ).
tcf(c_47602,plain,
sdtpldt0(sdtpldt0(xl,xr),sK0(sdtpldt0(xl,xr),sdtpldt0(xn,sdtpldt0(xl,xr)))) = sdtpldt0(xn,sdtpldt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_47597,c_10141,c_47367]) ).
tcf(c_47603,plain,
( ( sdtpldt0(xn,sdtpldt0(xl,xr)) = sdtpldt0(xl,xr) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47596,c_10141,c_47367]) ).
tcf(c_47606,plain,
sdtpldt0(sdtpldt0(xl,xr),sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sdtpldt0(xl,xr))) = sdtpldt0(xn,sdtpldt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_47595,c_10141,c_47367]) ).
tcf(c_47608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xr))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_47484,c_87]) ).
tcf(c_47611,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xr)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_47484,c_90]) ).
tcf(c_47617,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xr))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_47484,c_87]) ).
tcf(c_47620,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47611,c_47372,c_93,c_47367]) ).
tcf(c_47624,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xr))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47617,c_47372,c_93,c_47367]) ).
tcf(c_47629,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xr))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47608,c_47372,c_93,c_47367]) ).
tcf(c_47640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_12581,c_63]) ).
tcf(c_47641,plain,
! [X0: $i] :
( ( sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_12581,c_69]) ).
tcf(c_47642,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_12581,c_61]) ).
tcf(c_47644,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ( sdtpldt0(X0,sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_12581,c_70]) ).
tcf(c_47645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,xq))
| ( sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_12581,c_61]) ).
tcf(c_47646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))),sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_12581,c_63]) ).
tcf(c_47647,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ( sdtpldt0(X0,sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47644,c_9733]) ).
tcf(c_47652,plain,
! [X0: $i] :
( ( sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47641,c_9733]) ).
tcf(c_47657,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))),sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47646,c_9733]) ).
tcf(c_47663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47640,c_9733]) ).
tcf(c_47669,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,xq))
| ( sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47645,c_9733]) ).
tcf(c_47675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47642,c_9733]) ).
tcf(c_47704,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_47485,c_85]) ).
tcf(c_47709,plain,
( doDivides0(sdtpldt0(xn,sdtpldt0(xl,xr)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_47485,c_140]) ).
tcf(c_47712,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xr)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_47485,c_89]) ).
tcf(c_47713,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_47485,c_85]) ).
tcf(c_47714,plain,
doDivides0(sdtpldt0(xn,sdtpldt0(xl,xr)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_47709,c_93,c_47367]) ).
tcf(c_47715,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47712,c_47372,c_93,c_47367]) ).
tcf(c_47719,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47713,c_47372,c_93,c_47367]) ).
tcf(c_47724,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47704,c_47372,c_93,c_47367]) ).
tcf(c_47729,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xr)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_47714,c_79]) ).
tcf(c_47730,plain,
( ( sdtpldt0(xn,sdtpldt0(xl,xr)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xr)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_47714,c_96]) ).
tcf(c_47731,plain,
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sK1(sdtpldt0(xn,sdtpldt0(xl,xr)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_47714,c_82]) ).
tcf(c_47732,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47729,c_93,c_47367]) ).
tcf(c_47736,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sK1(sdtpldt0(xn,sdtpldt0(xl,xr)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_47731,c_93,c_47367]) ).
tcf(c_47737,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xr)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xr)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_47730,c_47372,c_93,c_47367]) ).
tcf(c_47740,plain,
( ( sK0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(xl,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_15241,c_68]) ).
tcf(c_47741,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(xl,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_15241,c_67]) ).
tcf(c_47744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(X0,sK0(xm,sdtasdt0(xl,xm))))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_15241,c_63]) ).
tcf(c_47745,plain,
! [X0: $i] :
( ( sK0(xm,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm)))
| ( sdtpldt0(xm,X0) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_15241,c_69]) ).
tcf(c_47746,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(xm,X0))
| ( sK0(xm,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm)))
| ~ sdtlseqdt0(sK0(xm,sdtasdt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_15241,c_61]) ).
tcf(c_47747,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm)))
| ~ doDivides0(X0,sK0(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_15241,c_78]) ).
tcf(c_47748,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm)))
| ( sdtpldt0(X0,sK0(xm,sdtasdt0(xl,xm))) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_15241,c_70]) ).
tcf(c_47749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xm))
| ( sK0(xm,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm)))
| ~ sdtlseqdt0(X0,sK0(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_15241,c_61]) ).
tcf(c_47750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,sdtasdt0(xl,xm))),sdtasdt0(xl,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_15241,c_63]) ).
tcf(c_47751,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(xl,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47741,c_50]) ).
tcf(c_47755,plain,
( ( sK0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(xl,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47740,c_50]) ).
tcf(c_47759,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm)))
| ( sdtpldt0(X0,sK0(xm,sdtasdt0(xl,xm))) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47748,c_50]) ).
tcf(c_47765,plain,
! [X0: $i] :
( ( sK0(xm,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm)))
| ( sdtpldt0(xm,X0) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47745,c_50]) ).
tcf(c_47770,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,sdtasdt0(xl,xm))),sdtasdt0(xl,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47750,c_50]) ).
tcf(c_47776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(X0,sK0(xm,sdtasdt0(xl,xm))))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47744,c_50]) ).
tcf(c_47782,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xm))
| ( sK0(xm,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm)))
| ~ sdtlseqdt0(X0,sK0(xm,sdtasdt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47749,c_50]) ).
tcf(c_47788,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(xm,X0))
| ( sK0(xm,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtasdt0(xl,xm)))
| ~ sdtlseqdt0(sK0(xm,sdtasdt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47746,c_50]) ).
tcf(c_47846,plain,
( sdtlseqdt0(xp,sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = xm )
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_17997,c_15242]) ).
tcf(c_47848,plain,
( sdtlseqdt0(xp,sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47846,c_15012]) ).
tcf(c_47855,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_47848,c_99]) ).
tcf(c_47856,plain,
( ( sdtasdt0(xl,xm) = xm )
| ( sdtpldt0(xp,sdtmndt0(sdtasdt0(xl,xm),xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_47848,c_104]) ).
tcf(c_47857,plain,
( ( sdtasdt0(xl,xm) = xp )
| ( sdtasdt0(xl,xm) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),xp) ),
inference(superposition,[status(thm)],[c_47848,c_100]) ).
tcf(c_47858,plain,
( ( sdtasdt0(xl,xm) = xm )
| ( sdtpldt0(xp,sK0(xp,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_47848,c_66]) ).
tcf(c_47859,plain,
( ( sdtasdt0(xl,xm) = xm )
| ( sdtpldt0(xp,sK0(xp,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47858,c_3837,c_15012]) ).
tcf(c_47862,plain,
( ( sdtasdt0(xl,xm) = xp )
| ( sdtasdt0(xl,xm) = xm )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47857,c_3837,c_15012]) ).
tcf(c_47866,plain,
( ( sdtasdt0(xl,xm) = xm )
| ( sdtpldt0(xp,sdtmndt0(sdtasdt0(xl,xm),xp)) = sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47856,c_3837,c_15012]) ).
tcf(c_47869,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47855,c_3837,c_15012]) ).
tcf(c_47876,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14624,c_68]) ).
tcf(c_47877,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14624,c_67]) ).
tcf(c_47878,plain,
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(xn,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14624,c_143]) ).
tcf(c_47879,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14624,c_77]) ).
tcf(c_47880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sdtpldt0(X0,xn))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_14624,c_63]) ).
tcf(c_47881,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(sdtpldt0(xm,xr),X0) != sdtpldt0(xn,sdtpldt0(xm,xr)) ) ),
inference(superposition,[status(thm)],[c_14624,c_69]) ).
tcf(c_47882,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sdtpldt0(sdtpldt0(xm,xr),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14624,c_61]) ).
tcf(c_47883,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ doDivides0(X0,sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14624,c_78]) ).
tcf(c_47884,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_14624,c_70]) ).
tcf(c_47885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),X0),sdtpldt0(xn,sdtpldt0(xm,xr)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14624,c_61]) ).
tcf(c_47886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xm,xr)))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14624,c_63]) ).
tcf(c_47887,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_47879,c_51,c_12990]) ).
tcf(c_47888,plain,
sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(xn,sdtpldt0(xm,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_47878,c_51,c_12990]) ).
tcf(c_47889,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47876,c_51,c_12990]) ).
tcf(c_47892,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47877,c_51,c_12990]) ).
tcf(c_47895,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47884,c_51,c_12990]) ).
tcf(c_47899,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47883,c_51,c_12990]) ).
tcf(c_47904,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xr),X0) != sdtpldt0(xn,sdtpldt0(xm,xr)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47881,c_51,c_12990]) ).
tcf(c_47908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),X0),sdtpldt0(xn,sdtpldt0(xm,xr)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47885,c_51,c_12990]) ).
tcf(c_47913,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sdtpldt0(sdtpldt0(xm,xr),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47882,c_51,c_12990]) ).
tcf(c_47918,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xm,xr)))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47886,c_51,c_12990]) ).
tcf(c_47923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sdtpldt0(X0,xn))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47880,c_51,c_12990]) ).
tcf(c_47953,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xr)),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_47887,c_4999]) ).
tcf(c_47954,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),xr) = sdtasdt0(xr,sdtpldt0(xn,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_47887,c_4997]) ).
tcf(c_47955,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xm,xr))),xr) = sdtpldt0(xn,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_47887,c_4996]) ).
tcf(c_47956,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xr)),xq) = sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_47887,c_4945]) ).
tcf(c_47957,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),xq) = sdtasdt0(xq,sdtpldt0(xn,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_47887,c_4943]) ).
tcf(c_47958,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xm,xr))),xq) = sdtpldt0(xn,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_47887,c_4942]) ).
tcf(c_47959,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xr)),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_47887,c_4262]) ).
tcf(c_47960,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_47887,c_4260]) ).
tcf(c_47961,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xm,xr))),xp) = sdtpldt0(xn,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_47887,c_4259]) ).
tcf(c_47962,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xr))),xl) = sdtpldt0(xn,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_47887,c_4186]) ).
tcf(c_47963,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sdtpldt0(xn,sdtpldt0(xm,xr)))) = sdtpldt0(xn,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_47887,c_4041]) ).
tcf(c_47964,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sK0(sdtpldt0(xn,sdtpldt0(xm,xr)),sdtpldt0(xn,sdtpldt0(xm,xr)))) = sdtpldt0(xn,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_47887,c_3458]) ).
tcf(c_47965,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xr))),sz00) = sdtpldt0(xn,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_47887,c_3195]) ).
tcf(c_47966,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xr))),xn) = sdtpldt0(xn,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_47887,c_3190]) ).
tcf(c_47967,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xr))),xm) = sdtpldt0(xn,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_47887,c_3189]) ).
tcf(c_47968,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xr))),xl) = sdtpldt0(xn,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_47887,c_3188]) ).
tcf(c_47969,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_47887,c_3101]) ).
tcf(c_47970,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_47887,c_3096]) ).
tcf(c_47971,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_47887,c_3095]) ).
tcf(c_47972,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_47887,c_3094]) ).
tcf(c_47973,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_47887,c_2815]) ).
tcf(c_47974,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xr)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_47887,c_2811]) ).
tcf(c_47975,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xr)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_47887,c_2810]) ).
tcf(c_47976,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xm,xr))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47887,c_72]) ).
tcf(c_47977,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xr)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xm,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47887,c_71]) ).
tcf(c_47978,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xn,sdtpldt0(xm,xr))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xm,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47887,c_105]) ).
tcf(c_47979,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xm,xr))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xm,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47887,c_75]) ).
tcf(c_47980,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),X0),sdtpldt0(xn,sdtpldt0(xm,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47887,c_153]) ).
tcf(c_47981,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xr)),X0),sdtpldt0(xn,sdtpldt0(xm,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47887,c_146]) ).
tcf(c_47982,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47887,c_106]) ).
tcf(c_47983,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xr)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_47887,c_2809]) ).
tcf(c_47984,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xr)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xm,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_47887,c_76]) ).
tcf(c_47985,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xr))) = sz00,
inference(superposition,[status(thm)],[c_47887,c_92]) ).
tcf(c_47986,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sz00) = sz00,
inference(superposition,[status(thm)],[c_47887,c_91]) ).
tcf(c_47987,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xr))) = sdtpldt0(xn,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_47887,c_74]) ).
tcf(c_47988,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sz00) = sdtpldt0(xn,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_47887,c_73]) ).
tcf(c_48119,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_47888,c_99]) ).
tcf(c_48120,plain,
( ( sdtpldt0(sdtpldt0(xm,xr),sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sdtpldt0(xm,xr))) = sdtpldt0(xn,sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_47888,c_104]) ).
tcf(c_48121,plain,
( ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_47888,c_100]) ).
tcf(c_48122,plain,
( ( sdtpldt0(sdtpldt0(xm,xr),sK0(sdtpldt0(xm,xr),sdtpldt0(xn,sdtpldt0(xm,xr)))) = sdtpldt0(xn,sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_47888,c_66]) ).
tcf(c_48123,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48119,c_12990,c_47887]) ).
tcf(c_48127,plain,
sdtpldt0(sdtpldt0(xm,xr),sK0(sdtpldt0(xm,xr),sdtpldt0(xn,sdtpldt0(xm,xr)))) = sdtpldt0(xn,sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_48122,c_12990,c_47887]) ).
tcf(c_48128,plain,
( ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sdtpldt0(xm,xr) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48121,c_12990,c_47887]) ).
tcf(c_48131,plain,
sdtpldt0(sdtpldt0(xm,xr),sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sdtpldt0(xm,xr))) = sdtpldt0(xn,sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_48120,c_12990,c_47887]) ).
tcf(c_48133,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xr))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_47985,c_87]) ).
tcf(c_48136,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xr)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_47985,c_90]) ).
tcf(c_48142,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xr))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_47985,c_87]) ).
tcf(c_48145,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48136,c_93,c_47887]) ).
tcf(c_48150,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xr))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48142,c_93,c_47887]) ).
tcf(c_48156,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xr))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48133,c_93,c_47887]) ).
tcf(c_48164,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_47986,c_85]) ).
tcf(c_48169,plain,
( doDivides0(sdtpldt0(xn,sdtpldt0(xm,xr)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_47986,c_140]) ).
tcf(c_48172,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xr)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_47986,c_89]) ).
tcf(c_48173,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_47986,c_85]) ).
tcf(c_48174,plain,
doDivides0(sdtpldt0(xn,sdtpldt0(xm,xr)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_48169,c_93,c_47887]) ).
tcf(c_48175,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48172,c_93,c_47887]) ).
tcf(c_48180,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48173,c_93,c_47887]) ).
tcf(c_48186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48164,c_93,c_47887]) ).
tcf(c_48256,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xr)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_48174,c_79]) ).
tcf(c_48257,plain,
( ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xr)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_48174,c_96]) ).
tcf(c_48258,plain,
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sK1(sdtpldt0(xn,sdtpldt0(xm,xr)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_48174,c_82]) ).
tcf(c_48259,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xm,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48256,c_93,c_47887]) ).
tcf(c_48263,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sK1(sdtpldt0(xn,sdtpldt0(xm,xr)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_48258,c_93,c_47887]) ).
tcf(c_48264,plain,
( ( sdtpldt0(xn,sdtpldt0(xm,xr)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xr)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xr)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48257,c_93,c_47887]) ).
tcf(c_48269,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14625,c_68]) ).
tcf(c_48270,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14625,c_67]) ).
tcf(c_48271,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xn,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14625,c_143]) ).
tcf(c_48272,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14625,c_77]) ).
tcf(c_48273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(X0,xn))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_14625,c_63]) ).
tcf(c_48274,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(sdtpldt0(xm,xp),X0) != sdtpldt0(xn,sdtpldt0(xm,xp)) ) ),
inference(superposition,[status(thm)],[c_14625,c_69]) ).
tcf(c_48275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xm,xp),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14625,c_61]) ).
tcf(c_48276,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ doDivides0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14625,c_78]) ).
tcf(c_48277,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_14625,c_70]) ).
tcf(c_48278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sdtpldt0(xn,sdtpldt0(xm,xp)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14625,c_61]) ).
tcf(c_48279,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14625,c_63]) ).
tcf(c_48280,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_48272,c_51,c_13190]) ).
tcf(c_48281,plain,
sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_48271,c_51,c_13190]) ).
tcf(c_48282,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48269,c_51,c_13190]) ).
tcf(c_48285,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48270,c_51,c_13190]) ).
tcf(c_48288,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48277,c_51,c_13190]) ).
tcf(c_48292,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48276,c_51,c_13190]) ).
tcf(c_48297,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xp),X0) != sdtpldt0(xn,sdtpldt0(xm,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48274,c_51,c_13190]) ).
tcf(c_48301,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sdtpldt0(xn,sdtpldt0(xm,xp)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48278,c_51,c_13190]) ).
tcf(c_48306,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xm,xp),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48275,c_51,c_13190]) ).
tcf(c_48311,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48279,c_51,c_13190]) ).
tcf(c_48316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(X0,xn))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48273,c_51,c_13190]) ).
tcf(c_48379,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xp)),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_48280,c_4999]) ).
tcf(c_48380,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),xr) = sdtasdt0(xr,sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_48280,c_4997]) ).
tcf(c_48381,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xm,xp))),xr) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_48280,c_4996]) ).
tcf(c_48382,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xp)),xq) = sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_48280,c_4945]) ).
tcf(c_48383,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),xq) = sdtasdt0(xq,sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_48280,c_4943]) ).
tcf(c_48384,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xm,xp))),xq) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_48280,c_4942]) ).
tcf(c_48385,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xp)),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_48280,c_4262]) ).
tcf(c_48386,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_48280,c_4260]) ).
tcf(c_48387,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xm,xp))),xp) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_48280,c_4259]) ).
tcf(c_48388,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xp))),xl) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_48280,c_4186]) ).
tcf(c_48389,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp)))) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_48280,c_4041]) ).
tcf(c_48390,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sK0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp)))) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_48280,c_3458]) ).
tcf(c_48391,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xp))),sz00) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_48280,c_3195]) ).
tcf(c_48392,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xp))),xn) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_48280,c_3190]) ).
tcf(c_48393,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xp))),xm) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_48280,c_3189]) ).
tcf(c_48394,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xp))),xl) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_48280,c_3188]) ).
tcf(c_48395,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_48280,c_3101]) ).
tcf(c_48396,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_48280,c_3096]) ).
tcf(c_48397,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_48280,c_3095]) ).
tcf(c_48398,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_48280,c_3094]) ).
tcf(c_48399,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_48280,c_2815]) ).
tcf(c_48400,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xp)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_48280,c_2811]) ).
tcf(c_48401,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xp)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_48280,c_2810]) ).
tcf(c_48402,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xm,xp))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48280,c_72]) ).
tcf(c_48403,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xp)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48280,c_71]) ).
tcf(c_48404,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xn,sdtpldt0(xm,xp))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48280,c_105]) ).
tcf(c_48405,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xm,xp))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48280,c_75]) ).
tcf(c_48406,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),X0),sdtpldt0(xn,sdtpldt0(xm,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48280,c_153]) ).
tcf(c_48407,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xp)),X0),sdtpldt0(xn,sdtpldt0(xm,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48280,c_146]) ).
tcf(c_48408,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48280,c_106]) ).
tcf(c_48409,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xp)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_48280,c_2809]) ).
tcf(c_48410,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xp)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48280,c_76]) ).
tcf(c_48411,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xp))) = sz00,
inference(superposition,[status(thm)],[c_48280,c_92]) ).
tcf(c_48412,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sz00) = sz00,
inference(superposition,[status(thm)],[c_48280,c_91]) ).
tcf(c_48413,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xp))) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_48280,c_74]) ).
tcf(c_48414,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sz00) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_48280,c_73]) ).
tcf(c_48538,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_48281,c_99]) ).
tcf(c_48539,plain,
( ( sdtpldt0(sdtpldt0(xm,xp),sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(xm,xp))) = sdtpldt0(xn,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_48281,c_104]) ).
tcf(c_48540,plain,
( ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_48281,c_100]) ).
tcf(c_48541,plain,
( ( sdtpldt0(sdtpldt0(xm,xp),sK0(sdtpldt0(xm,xp),sdtpldt0(xn,sdtpldt0(xm,xp)))) = sdtpldt0(xn,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_48281,c_66]) ).
tcf(c_48542,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48538,c_13190,c_48280]) ).
tcf(c_48546,plain,
sdtpldt0(sdtpldt0(xm,xp),sK0(sdtpldt0(xm,xp),sdtpldt0(xn,sdtpldt0(xm,xp)))) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_48541,c_13190,c_48280]) ).
tcf(c_48547,plain,
( ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sdtpldt0(xm,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48540,c_13190,c_48280]) ).
tcf(c_48550,plain,
sdtpldt0(sdtpldt0(xm,xp),sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtpldt0(xm,xp))) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_48539,c_13190,c_48280]) ).
tcf(c_48552,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xp))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_48411,c_87]) ).
tcf(c_48555,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_48411,c_90]) ).
tcf(c_48561,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xp))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_48411,c_87]) ).
tcf(c_48564,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48555,c_93,c_48280]) ).
tcf(c_48569,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xp))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48561,c_93,c_48280]) ).
tcf(c_48575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xp))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48552,c_93,c_48280]) ).
tcf(c_48583,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_48412,c_85]) ).
tcf(c_48588,plain,
( doDivides0(sdtpldt0(xn,sdtpldt0(xm,xp)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_48412,c_140]) ).
tcf(c_48591,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_48412,c_89]) ).
tcf(c_48592,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_48412,c_85]) ).
tcf(c_48593,plain,
doDivides0(sdtpldt0(xn,sdtpldt0(xm,xp)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_48588,c_93,c_48280]) ).
tcf(c_48594,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48591,c_93,c_48280]) ).
tcf(c_48599,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48592,c_93,c_48280]) ).
tcf(c_48605,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48583,c_93,c_48280]) ).
tcf(c_48617,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_12582,c_63]) ).
tcf(c_48618,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_12582,c_69]) ).
tcf(c_48619,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_12582,c_61]) ).
tcf(c_48621,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_12582,c_70]) ).
tcf(c_48622,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,xq))
| ( sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_12582,c_61]) ).
tcf(c_48623,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))),sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_12582,c_63]) ).
tcf(c_48624,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48621,c_9733]) ).
tcf(c_48629,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48618,c_9733]) ).
tcf(c_48634,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))),sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48623,c_9733]) ).
tcf(c_48640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48617,c_9733]) ).
tcf(c_48646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,xq))
| ( sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48622,c_9733]) ).
tcf(c_48652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48619,c_9733]) ).
tcf(c_48663,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_48593,c_79]) ).
tcf(c_48664,plain,
( ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xp)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_48593,c_96]) ).
tcf(c_48665,plain,
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sK1(sdtpldt0(xn,sdtpldt0(xm,xp)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_48593,c_82]) ).
tcf(c_48666,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48663,c_93,c_48280]) ).
tcf(c_48670,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sK1(sdtpldt0(xn,sdtpldt0(xm,xp)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_48665,c_93,c_48280]) ).
tcf(c_48671,plain,
( ( sdtpldt0(xn,sdtpldt0(xm,xp)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xp)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xp)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48664,c_93,c_48280]) ).
tcf(c_48716,plain,
( ( sdtmndt0(sdtasdt0(xl,xm),xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm))
| ( sdtasdt0(xl,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_15245,c_68]) ).
tcf(c_48717,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm))
| ( sdtasdt0(xl,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_15245,c_67]) ).
tcf(c_48720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(X0,sdtmndt0(sdtasdt0(xl,xm),xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm)) ),
inference(superposition,[status(thm)],[c_15245,c_63]) ).
tcf(c_48721,plain,
! [X0: $i] :
( ( sdtmndt0(sdtasdt0(xl,xm),xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm))
| ( sdtpldt0(xm,X0) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_15245,c_69]) ).
tcf(c_48722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(xm,X0))
| ( sdtmndt0(sdtasdt0(xl,xm),xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm))
| ~ sdtlseqdt0(sdtmndt0(sdtasdt0(xl,xm),xm),X0) ),
inference(superposition,[status(thm)],[c_15245,c_61]) ).
tcf(c_48723,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm))
| ~ doDivides0(X0,sdtmndt0(sdtasdt0(xl,xm),xm)) ),
inference(superposition,[status(thm)],[c_15245,c_78]) ).
tcf(c_48724,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm))
| ( sdtpldt0(X0,sdtmndt0(sdtasdt0(xl,xm),xm)) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_15245,c_70]) ).
tcf(c_48725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xm))
| ( sdtmndt0(sdtasdt0(xl,xm),xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtasdt0(xl,xm),xm)) ),
inference(superposition,[status(thm)],[c_15245,c_61]) ).
tcf(c_48726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtasdt0(xl,xm),xm)),sdtasdt0(xl,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm)) ),
inference(superposition,[status(thm)],[c_15245,c_63]) ).
tcf(c_48727,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm))
| ( sdtasdt0(xl,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48717,c_50]) ).
tcf(c_48731,plain,
( ( sdtmndt0(sdtasdt0(xl,xm),xm) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm))
| ( sdtasdt0(xl,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48716,c_50]) ).
tcf(c_48735,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm))
| ( sdtpldt0(X0,sdtmndt0(sdtasdt0(xl,xm),xm)) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48724,c_50]) ).
tcf(c_48741,plain,
! [X0: $i] :
( ( sdtmndt0(sdtasdt0(xl,xm),xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm))
| ( sdtpldt0(xm,X0) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48721,c_50]) ).
tcf(c_48746,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtasdt0(xl,xm),xm)),sdtasdt0(xl,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48726,c_50]) ).
tcf(c_48752,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(X0,sdtmndt0(sdtasdt0(xl,xm),xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48720,c_50]) ).
tcf(c_48758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xm))
| ( sdtmndt0(sdtasdt0(xl,xm),xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtasdt0(xl,xm),xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48725,c_50]) ).
tcf(c_48764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(xm,X0))
| ( sdtmndt0(sdtasdt0(xl,xm),xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xl,xm),xm))
| ~ sdtlseqdt0(sdtmndt0(sdtasdt0(xl,xm),xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48722,c_50]) ).
tcf(c_48782,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15246,c_99]) ).
tcf(c_48783,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtasdt0(xl,xm),X0)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15246,c_104]) ).
tcf(c_48784,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_15246,c_100]) ).
tcf(c_48785,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15246,c_66]) ).
tcf(c_48786,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48785,c_15012]) ).
tcf(c_48790,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48784,c_15012]) ).
tcf(c_48795,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtasdt0(xl,xm),X0)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48783,c_15012]) ).
tcf(c_48799,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48782,c_15012]) ).
tcf(c_48809,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xm,xp)),xm)
| ( sz00 = xp )
| ( X0 = xp )
| ( sdtsldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_15367,c_87]) ).
tcf(c_48811,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xm)
| ( sz00 = xp )
| ( sdtsldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtsldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_15367,c_85]) ).
tcf(c_48812,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xp )
| ( sdtsldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xp))
| ( sdtasdt0(X0,sdtsldt0(xm,xp)) != xm ) ),
inference(superposition,[status(thm)],[c_15367,c_90]) ).
tcf(c_48815,plain,
( ( sz00 = xp )
| ( sdtsldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xm,xp))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_15367,c_88]) ).
tcf(c_48818,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sdtsldt0(xm,xp)))
| ( sz00 = xp )
| ( X0 = xp )
| ( sdtsldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_15367,c_87]) ).
tcf(c_48819,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtsldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xp))
| ( sdtasdt0(xp,X0) != xm ) ),
inference(superposition,[status(thm)],[c_15367,c_89]) ).
tcf(c_48820,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sdtsldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xp))
| ~ sdtlseqdt0(sdtsldt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_15367,c_85]) ).
tcf(c_48821,plain,
( ( sz00 = xp )
| ( sdtsldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xp))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48815,c_3837]) ).
tcf(c_48826,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtsldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xp))
| ( sdtasdt0(xp,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48819,c_3837]) ).
tcf(c_48832,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sdtsldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xp))
| ~ sdtlseqdt0(sdtsldt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48820,c_3837]) ).
tcf(c_48839,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xm)
| ( sz00 = xp )
| ( sdtsldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtsldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48811,c_3837]) ).
tcf(c_48846,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xp )
| ( sdtsldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xp))
| ( sdtasdt0(X0,sdtsldt0(xm,xp)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48812,c_3837]) ).
tcf(c_48853,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sdtsldt0(xm,xp)))
| ( sz00 = xp )
| ( X0 = xp )
| ( sdtsldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48818,c_3837]) ).
tcf(c_48861,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xm,xp)),xm)
| ( sz00 = xp )
| ( X0 = xp )
| ( sdtsldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48809,c_3837]) ).
tcf(c_48876,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14626,c_68]) ).
tcf(c_48877,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14626,c_67]) ).
tcf(c_48878,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xn,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14626,c_143]) ).
tcf(c_48879,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14626,c_77]) ).
tcf(c_48880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sdtpldt0(X0,xn))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_14626,c_63]) ).
tcf(c_48881,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(sdtpldt0(xm,xq),X0) != sdtpldt0(xn,sdtpldt0(xm,xq)) ) ),
inference(superposition,[status(thm)],[c_14626,c_69]) ).
tcf(c_48882,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sdtpldt0(sdtpldt0(xm,xq),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14626,c_61]) ).
tcf(c_48883,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ doDivides0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14626,c_78]) ).
tcf(c_48884,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_14626,c_70]) ).
tcf(c_48885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sdtpldt0(xn,sdtpldt0(xm,xq)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14626,c_61]) ).
tcf(c_48886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14626,c_63]) ).
tcf(c_48887,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_48879,c_51,c_13506]) ).
tcf(c_48888,plain,
sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xn,sdtpldt0(xm,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_48878,c_51,c_13506]) ).
tcf(c_48889,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48876,c_51,c_13506]) ).
tcf(c_48892,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48877,c_51,c_13506]) ).
tcf(c_48895,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48884,c_51,c_13506]) ).
tcf(c_48899,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48883,c_51,c_13506]) ).
tcf(c_48904,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xq),X0) != sdtpldt0(xn,sdtpldt0(xm,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48881,c_51,c_13506]) ).
tcf(c_48908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sdtpldt0(xn,sdtpldt0(xm,xq)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48885,c_51,c_13506]) ).
tcf(c_48913,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sdtpldt0(sdtpldt0(xm,xq),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48882,c_51,c_13506]) ).
tcf(c_48918,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48886,c_51,c_13506]) ).
tcf(c_48923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sdtpldt0(X0,xn))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48880,c_51,c_13506]) ).
tcf(c_48974,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xq)),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_48887,c_4999]) ).
tcf(c_48975,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),xr) = sdtasdt0(xr,sdtpldt0(xn,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_48887,c_4997]) ).
tcf(c_48976,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xm,xq))),xr) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_48887,c_4996]) ).
tcf(c_48977,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xq)),xq) = sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_48887,c_4945]) ).
tcf(c_48978,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),xq) = sdtasdt0(xq,sdtpldt0(xn,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_48887,c_4943]) ).
tcf(c_48979,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xm,xq))),xq) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_48887,c_4942]) ).
tcf(c_48980,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xq)),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_48887,c_4262]) ).
tcf(c_48981,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_48887,c_4260]) ).
tcf(c_48982,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xm,xq))),xp) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_48887,c_4259]) ).
tcf(c_48983,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xq))),xl) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_48887,c_4186]) ).
tcf(c_48984,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sdtpldt0(xn,sdtpldt0(xm,xq)))) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_48887,c_4041]) ).
tcf(c_48985,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sK0(sdtpldt0(xn,sdtpldt0(xm,xq)),sdtpldt0(xn,sdtpldt0(xm,xq)))) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_48887,c_3458]) ).
tcf(c_48986,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xq))),sz00) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_48887,c_3195]) ).
tcf(c_48987,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xq))),xn) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_48887,c_3190]) ).
tcf(c_48988,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xq))),xm) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_48887,c_3189]) ).
tcf(c_48989,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xq))),xl) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_48887,c_3188]) ).
tcf(c_48990,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_48887,c_3101]) ).
tcf(c_48991,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_48887,c_3096]) ).
tcf(c_48992,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_48887,c_3095]) ).
tcf(c_48993,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_48887,c_3094]) ).
tcf(c_48994,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_48887,c_2815]) ).
tcf(c_48995,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xq)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_48887,c_2811]) ).
tcf(c_48996,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xq)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_48887,c_2810]) ).
tcf(c_48997,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xm,xq))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48887,c_72]) ).
tcf(c_48998,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48887,c_71]) ).
tcf(c_48999,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xn,sdtpldt0(xm,xq))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48887,c_105]) ).
tcf(c_49000,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xm,xq))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48887,c_75]) ).
tcf(c_49001,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),X0),sdtpldt0(xn,sdtpldt0(xm,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48887,c_153]) ).
tcf(c_49002,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xq)),X0),sdtpldt0(xn,sdtpldt0(xm,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48887,c_146]) ).
tcf(c_49003,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48887,c_106]) ).
tcf(c_49004,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xq)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_48887,c_2809]) ).
tcf(c_49005,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xq)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48887,c_76]) ).
tcf(c_49006,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xq))) = sz00,
inference(superposition,[status(thm)],[c_48887,c_92]) ).
tcf(c_49007,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_48887,c_91]) ).
tcf(c_49008,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xq))) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_48887,c_74]) ).
tcf(c_49009,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sz00) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_48887,c_73]) ).
tcf(c_49089,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_48888,c_99]) ).
tcf(c_49090,plain,
( ( sdtpldt0(sdtpldt0(xm,xq),sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sdtpldt0(xm,xq))) = sdtpldt0(xn,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_48888,c_104]) ).
tcf(c_49091,plain,
( ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_48888,c_100]) ).
tcf(c_49092,plain,
( ( sdtpldt0(sdtpldt0(xm,xq),sK0(sdtpldt0(xm,xq),sdtpldt0(xn,sdtpldt0(xm,xq)))) = sdtpldt0(xn,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_48888,c_66]) ).
tcf(c_49093,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49089,c_13506,c_48887]) ).
tcf(c_49097,plain,
sdtpldt0(sdtpldt0(xm,xq),sK0(sdtpldt0(xm,xq),sdtpldt0(xn,sdtpldt0(xm,xq)))) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_49092,c_13506,c_48887]) ).
tcf(c_49098,plain,
( ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sdtpldt0(xm,xq) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49091,c_13506,c_48887]) ).
tcf(c_49101,plain,
sdtpldt0(sdtpldt0(xm,xq),sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sdtpldt0(xm,xq))) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_49090,c_13506,c_48887]) ).
tcf(c_49103,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xq))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_49006,c_87]) ).
tcf(c_49106,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xq)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_49006,c_90]) ).
tcf(c_49112,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xq))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_49006,c_87]) ).
tcf(c_49115,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49106,c_93,c_48887]) ).
tcf(c_49120,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xq))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49112,c_93,c_48887]) ).
tcf(c_49126,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xq))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49103,c_93,c_48887]) ).
tcf(c_49134,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_49007,c_85]) ).
tcf(c_49139,plain,
( doDivides0(sdtpldt0(xn,sdtpldt0(xm,xq)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_49007,c_140]) ).
tcf(c_49142,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xq)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_49007,c_89]) ).
tcf(c_49143,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_49007,c_85]) ).
tcf(c_49144,plain,
doDivides0(sdtpldt0(xn,sdtpldt0(xm,xq)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_49139,c_93,c_48887]) ).
tcf(c_49145,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49142,c_93,c_48887]) ).
tcf(c_49150,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49143,c_93,c_48887]) ).
tcf(c_49156,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49134,c_93,c_48887]) ).
tcf(c_49162,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xq)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_49144,c_79]) ).
tcf(c_49163,plain,
( ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xq)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_49144,c_96]) ).
tcf(c_49164,plain,
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sK1(sdtpldt0(xn,sdtpldt0(xm,xq)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_49144,c_82]) ).
tcf(c_49165,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49162,c_93,c_48887]) ).
tcf(c_49169,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sK1(sdtpldt0(xn,sdtpldt0(xm,xq)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_49164,c_93,c_48887]) ).
tcf(c_49170,plain,
( ( sdtpldt0(xn,sdtpldt0(xm,xq)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xq)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xq)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49163,c_93,c_48887]) ).
tcf(c_49173,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xl,xm)))
| ( xl = sz00 )
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14851,c_87]) ).
tcf(c_49174,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sdtasdt0(xl,sdtpldt0(xl,xm)))
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14851,c_83]) ).
tcf(c_49175,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sdtasdt0(xl,sdtpldt0(xl,xm)))
| ( X0 = xl )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14851,c_85]) ).
tcf(c_49176,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(xl,sdtpldt0(xl,xm)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_14851,c_90]) ).
tcf(c_49179,plain,
( ( xl = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(xl,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14851,c_88]) ).
tcf(c_49180,plain,
( doDivides0(sdtpldt0(xl,xm),sdtasdt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14851,c_140]) ).
tcf(c_49181,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14851,c_107]) ).
tcf(c_49182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_14851,c_87]) ).
tcf(c_49183,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sdtasdt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_14851,c_89]) ).
tcf(c_49184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtasdt0(sdtpldt0(xl,xm),X0))
| ( X0 = xl )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14851,c_85]) ).
tcf(c_49185,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_49181,c_49,c_2931]) ).
tcf(c_49186,plain,
doDivides0(sdtpldt0(xl,xm),sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_49180,c_49,c_2931]) ).
tcf(c_49187,plain,
sdtlseqdt0(sdtpldt0(xl,xm),sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_49174,c_54,c_49,c_2931]) ).
tcf(c_49188,plain,
sdtasdt0(xl,sdtpldt0(xl,xm)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_49179,c_54,c_3442,c_49,c_2931]) ).
tcf(c_49189,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,sdtpldt0(xl,xm)) != sdtasdt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49176,c_54,c_49,c_2931]) ).
tcf(c_49193,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sdtasdt0(xl,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49183,c_3442,c_49,c_2931]) ).
tcf(c_49197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtasdt0(sdtpldt0(xl,xm),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49184,c_3442,c_49,c_2931]) ).
tcf(c_49202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtasdt0(X0,xl))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49182,c_54,c_49,c_2931]) ).
tcf(c_49207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sdtasdt0(xl,sdtpldt0(xl,xm)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49175,c_3442,c_49,c_2931]) ).
tcf(c_49212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49173,c_54,c_49,c_2931]) ).
tcf(c_49272,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xr) = sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_49185,c_4999]) ).
tcf(c_49273,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xr) = sdtasdt0(xr,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_49185,c_4997]) ).
tcf(c_49274,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xl,xm))),xr) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_49185,c_4996]) ).
tcf(c_49275,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xq) = sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_49185,c_4945]) ).
tcf(c_49276,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xq) = sdtasdt0(xq,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_49185,c_4943]) ).
tcf(c_49277,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xl,xm))),xq) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_49185,c_4942]) ).
tcf(c_49278,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xp) = sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_49185,c_4262]) ).
tcf(c_49279,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xp) = sdtasdt0(xp,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_49185,c_4260]) ).
tcf(c_49280,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xl,xm))),xp) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_49185,c_4259]) ).
tcf(c_49281,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xm))),xl) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_49185,c_4186]) ).
tcf(c_49282,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtmndt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtasdt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_49185,c_4041]) ).
tcf(c_49283,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sK0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtasdt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_49185,c_3458]) ).
tcf(c_49284,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm))),sz00) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_49185,c_3195]) ).
tcf(c_49285,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xm))),xn) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_49185,c_3190]) ).
tcf(c_49286,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xm))),xm) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_49185,c_3189]) ).
tcf(c_49287,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xm))),xl) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_49185,c_3188]) ).
tcf(c_49288,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_49185,c_3101]) ).
tcf(c_49289,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_49185,c_3096]) ).
tcf(c_49290,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_49185,c_3095]) ).
tcf(c_49291,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_49185,c_3094]) ).
tcf(c_49292,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_49185,c_2815]) ).
tcf(c_49293,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_49185,c_2811]) ).
tcf(c_49294,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_49185,c_2810]) ).
tcf(c_49295,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xl,xm))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49185,c_72]) ).
tcf(c_49296,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49185,c_71]) ).
tcf(c_49297,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,sdtpldt0(xl,xm))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49185,c_105]) ).
tcf(c_49298,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xl,xm))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49185,c_75]) ).
tcf(c_49299,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0),sdtasdt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49185,c_153]) ).
tcf(c_49300,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0),sdtasdt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49185,c_146]) ).
tcf(c_49301,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49185,c_106]) ).
tcf(c_49302,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_49185,c_2809]) ).
tcf(c_49303,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49185,c_76]) ).
tcf(c_49304,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_49185,c_92]) ).
tcf(c_49305,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_49185,c_91]) ).
tcf(c_49306,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm))) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_49185,c_74]) ).
tcf(c_49307,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sz00) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_49185,c_73]) ).
tcf(c_49476,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_49186,c_79]) ).
tcf(c_49477,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) = sdtasdt0(xl,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_49186,c_96]) ).
tcf(c_49478,plain,
( ( sdtasdt0(sdtpldt0(xl,xm),sK1(sdtpldt0(xl,xm),sdtasdt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(xl,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_49186,c_82]) ).
tcf(c_49479,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49476,c_2931,c_49185]) ).
tcf(c_49483,plain,
sdtasdt0(sdtpldt0(xl,xm),sK1(sdtpldt0(xl,xm),sdtasdt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_49478,c_2931,c_49185]) ).
tcf(c_49484,plain,
sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_49477,c_3442,c_2931,c_49185]) ).
tcf(c_49486,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_49187,c_99]) ).
tcf(c_49487,plain,
( ( sdtpldt0(sdtpldt0(xl,xm),sdtmndt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) = sdtasdt0(xl,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_49187,c_104]) ).
tcf(c_49488,plain,
( ( sdtasdt0(xl,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_49187,c_100]) ).
tcf(c_49489,plain,
( ( sdtpldt0(sdtpldt0(xl,xm),sK0(sdtpldt0(xl,xm),sdtasdt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(xl,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_49187,c_66]) ).
tcf(c_49490,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49486,c_2931,c_49185]) ).
tcf(c_49494,plain,
sdtpldt0(sdtpldt0(xl,xm),sK0(sdtpldt0(xl,xm),sdtasdt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_49489,c_2931,c_49185]) ).
tcf(c_49495,plain,
( ( sdtasdt0(xl,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm) )
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49488,c_2931,c_49185]) ).
tcf(c_49498,plain,
sdtpldt0(sdtpldt0(xl,xm),sdtmndt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_49487,c_2931,c_49185]) ).
tcf(c_49500,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_49304,c_87]) ).
tcf(c_49503,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_49304,c_90]) ).
tcf(c_49509,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_49304,c_87]) ).
tcf(c_49512,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xm))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49503,c_49188,c_93,c_49185]) ).
tcf(c_49516,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49509,c_49188,c_93,c_49185]) ).
tcf(c_49521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49500,c_49188,c_93,c_49185]) ).
tcf(c_49532,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(X0,sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_12687,c_63]) ).
tcf(c_49533,plain,
! [X0: $i] :
( ( sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)))
| ( sdtpldt0(sdtpldt0(xl,xr),X0) != sdtpldt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_12687,c_69]) ).
tcf(c_49534,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(sdtpldt0(xl,xr),X0))
| ( sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)),X0) ),
inference(superposition,[status(thm)],[c_12687,c_61]) ).
tcf(c_49536,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)))
| ( sdtpldt0(X0,sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) != sdtpldt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_12687,c_70]) ).
tcf(c_49537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xr),X0),sdtpldt0(xl,xr))
| ( sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_12687,c_61]) ).
tcf(c_49538,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))),sdtpldt0(xl,xr))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_12687,c_63]) ).
tcf(c_49539,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)))
| ( sdtpldt0(X0,sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) != sdtpldt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49536,c_10141]) ).
tcf(c_49544,plain,
! [X0: $i] :
( ( sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)))
| ( sdtpldt0(sdtpldt0(xl,xr),X0) != sdtpldt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49533,c_10141]) ).
tcf(c_49549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))),sdtpldt0(xl,xr))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49538,c_10141]) ).
tcf(c_49555,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(X0,sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49532,c_10141]) ).
tcf(c_49561,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xr),X0),sdtpldt0(xl,xr))
| ( sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49537,c_10141]) ).
tcf(c_49567,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(sdtpldt0(xl,xr),X0))
| ( sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(sK0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49534,c_10141]) ).
tcf(c_49648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_49305,c_85]) ).
tcf(c_49653,plain,
( doDivides0(sdtasdt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_49305,c_140]) ).
tcf(c_49656,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_49305,c_89]) ).
tcf(c_49657,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_49305,c_85]) ).
tcf(c_49658,plain,
doDivides0(sdtasdt0(xl,sdtpldt0(xl,xm)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_49653,c_93,c_49185]) ).
tcf(c_49659,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49656,c_49188,c_93,c_49185]) ).
tcf(c_49663,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49657,c_49188,c_93,c_49185]) ).
tcf(c_49668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49648,c_49188,c_93,c_49185]) ).
tcf(c_49673,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_49658,c_79]) ).
tcf(c_49674,plain,
( ( sdtasdt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_49658,c_96]) ).
tcf(c_49675,plain,
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sK1(sdtasdt0(xl,sdtpldt0(xl,xm)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_49658,c_82]) ).
tcf(c_49676,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49673,c_93,c_49185]) ).
tcf(c_49680,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sK1(sdtasdt0(xl,sdtpldt0(xl,xm)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_49675,c_93,c_49185]) ).
tcf(c_49681,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_49674,c_49188,c_93,c_49185]) ).
tcf(c_49684,plain,
( ( sK0(xr,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_15531,c_68]) ).
tcf(c_49685,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_15531,c_67]) ).
tcf(c_49688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sK0(xr,sdtpldt0(xn,xr))))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_15531,c_63]) ).
tcf(c_49689,plain,
! [X0: $i] :
( ( sK0(xr,sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ( sdtpldt0(xr,X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_15531,c_69]) ).
tcf(c_49690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xr,X0))
| ( sK0(xr,sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xr,sdtpldt0(xn,xr)),X0) ),
inference(superposition,[status(thm)],[c_15531,c_61]) ).
tcf(c_49691,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ~ doDivides0(X0,sK0(xr,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_15531,c_78]) ).
tcf(c_49692,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ( sdtpldt0(X0,sK0(xr,sdtpldt0(xn,xr))) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_15531,c_70]) ).
tcf(c_49693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xn,xr))
| ( sK0(xr,sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK0(xr,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_15531,c_61]) ).
tcf(c_49694,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,sdtpldt0(xn,xr))),sdtpldt0(xn,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_15531,c_63]) ).
tcf(c_49695,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49685,c_4939]) ).
tcf(c_49699,plain,
( ( sK0(xr,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49684,c_4939]) ).
tcf(c_49703,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ( sdtpldt0(X0,sK0(xr,sdtpldt0(xn,xr))) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49692,c_4939]) ).
tcf(c_49708,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ~ doDivides0(X0,sK0(xr,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49691,c_4939]) ).
tcf(c_49714,plain,
! [X0: $i] :
( ( sK0(xr,sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ( sdtpldt0(xr,X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49689,c_4939]) ).
tcf(c_49719,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,sdtpldt0(xn,xr))),sdtpldt0(xn,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49694,c_4939]) ).
tcf(c_49725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sK0(xr,sdtpldt0(xn,xr))))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49688,c_4939]) ).
tcf(c_49731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xn,xr))
| ( sK0(xr,sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK0(xr,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49693,c_4939]) ).
tcf(c_49737,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xr,X0))
| ( sK0(xr,sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xr,sdtpldt0(xn,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49690,c_4939]) ).
tcf(c_49799,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xl,xn)))
| ( xl = sz00 )
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14852,c_87]) ).
tcf(c_49800,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sdtasdt0(xl,sdtpldt0(xl,xn)))
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14852,c_83]) ).
tcf(c_49801,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sdtasdt0(xl,sdtpldt0(xl,xn)))
| ( X0 = xl )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14852,c_85]) ).
tcf(c_49802,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(xl,sdtpldt0(xl,xn)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_14852,c_90]) ).
tcf(c_49805,plain,
( ( xl = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(xl,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14852,c_88]) ).
tcf(c_49806,plain,
( doDivides0(sdtpldt0(xl,xn),sdtasdt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14852,c_140]) ).
tcf(c_49807,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14852,c_107]) ).
tcf(c_49808,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_14852,c_87]) ).
tcf(c_49809,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sdtasdt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_14852,c_89]) ).
tcf(c_49810,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtasdt0(sdtpldt0(xl,xn),X0))
| ( X0 = xl )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14852,c_85]) ).
tcf(c_49811,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_49807,c_49,c_2971]) ).
tcf(c_49812,plain,
doDivides0(sdtpldt0(xl,xn),sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_49806,c_49,c_2971]) ).
tcf(c_49813,plain,
sdtlseqdt0(sdtpldt0(xl,xn),sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_49800,c_54,c_49,c_2971]) ).
tcf(c_49814,plain,
sdtasdt0(xl,sdtpldt0(xl,xn)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_49805,c_54,c_3441,c_49,c_2971]) ).
tcf(c_49815,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,sdtpldt0(xl,xn)) != sdtasdt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49802,c_54,c_49,c_2971]) ).
tcf(c_49819,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sdtasdt0(xl,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49809,c_3441,c_49,c_2971]) ).
tcf(c_49823,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtasdt0(sdtpldt0(xl,xn),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49810,c_3441,c_49,c_2971]) ).
tcf(c_49828,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtasdt0(X0,xl))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49808,c_54,c_49,c_2971]) ).
tcf(c_49833,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sdtasdt0(xl,sdtpldt0(xl,xn)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49801,c_3441,c_49,c_2971]) ).
tcf(c_49838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49799,c_54,c_49,c_2971]) ).
tcf(c_49847,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xr) = sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_49811,c_4999]) ).
tcf(c_49848,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xr) = sdtasdt0(xr,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_49811,c_4997]) ).
tcf(c_49849,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xl,xn))),xr) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_49811,c_4996]) ).
tcf(c_49850,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xq) = sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_49811,c_4945]) ).
tcf(c_49851,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xq) = sdtasdt0(xq,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_49811,c_4943]) ).
tcf(c_49852,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xl,xn))),xq) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_49811,c_4942]) ).
tcf(c_49853,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xp) = sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_49811,c_4262]) ).
tcf(c_49854,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xp) = sdtasdt0(xp,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_49811,c_4260]) ).
tcf(c_49855,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xl,xn))),xp) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_49811,c_4259]) ).
tcf(c_49856,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xn))),xl) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_49811,c_4186]) ).
tcf(c_49857,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtmndt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtasdt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_49811,c_4041]) ).
tcf(c_49858,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sK0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtasdt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_49811,c_3458]) ).
tcf(c_49859,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn))),sz00) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_49811,c_3195]) ).
tcf(c_49860,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xn))),xn) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_49811,c_3190]) ).
tcf(c_49861,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xn))),xm) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_49811,c_3189]) ).
tcf(c_49862,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xn))),xl) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_49811,c_3188]) ).
tcf(c_49863,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_49811,c_3101]) ).
tcf(c_49864,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_49811,c_3096]) ).
tcf(c_49865,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_49811,c_3095]) ).
tcf(c_49866,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_49811,c_3094]) ).
tcf(c_49867,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_49811,c_2815]) ).
tcf(c_49868,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_49811,c_2811]) ).
tcf(c_49869,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_49811,c_2810]) ).
tcf(c_49870,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xl,xn))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49811,c_72]) ).
tcf(c_49871,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49811,c_71]) ).
tcf(c_49872,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,sdtpldt0(xl,xn))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49811,c_105]) ).
tcf(c_49873,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xl,xn))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49811,c_75]) ).
tcf(c_49874,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0),sdtasdt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49811,c_153]) ).
tcf(c_49875,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0),sdtasdt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49811,c_146]) ).
tcf(c_49876,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49811,c_106]) ).
tcf(c_49877,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_49811,c_2809]) ).
tcf(c_49878,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49811,c_76]) ).
tcf(c_49879,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_49811,c_92]) ).
tcf(c_49880,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_49811,c_91]) ).
tcf(c_49881,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn))) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_49811,c_74]) ).
tcf(c_49882,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sz00) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_49811,c_73]) ).
tcf(c_50006,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_49812,c_79]) ).
tcf(c_50007,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) = sdtasdt0(xl,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_49812,c_96]) ).
tcf(c_50008,plain,
( ( sdtasdt0(sdtpldt0(xl,xn),sK1(sdtpldt0(xl,xn),sdtasdt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(xl,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_49812,c_82]) ).
tcf(c_50009,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50006,c_2971,c_49811]) ).
tcf(c_50013,plain,
sdtasdt0(sdtpldt0(xl,xn),sK1(sdtpldt0(xl,xn),sdtasdt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_50008,c_2971,c_49811]) ).
tcf(c_50014,plain,
sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_50007,c_3441,c_2971,c_49811]) ).
tcf(c_50016,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_49813,c_99]) ).
tcf(c_50017,plain,
( ( sdtpldt0(sdtpldt0(xl,xn),sdtmndt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) = sdtasdt0(xl,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_49813,c_104]) ).
tcf(c_50018,plain,
( ( sdtasdt0(xl,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_49813,c_100]) ).
tcf(c_50019,plain,
( ( sdtpldt0(sdtpldt0(xl,xn),sK0(sdtpldt0(xl,xn),sdtasdt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(xl,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_49813,c_66]) ).
tcf(c_50020,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50016,c_2971,c_49811]) ).
tcf(c_50024,plain,
sdtpldt0(sdtpldt0(xl,xn),sK0(sdtpldt0(xl,xn),sdtasdt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_50019,c_2971,c_49811]) ).
tcf(c_50025,plain,
( ( sdtasdt0(xl,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn) )
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50018,c_2971,c_49811]) ).
tcf(c_50028,plain,
sdtpldt0(sdtpldt0(xl,xn),sdtmndt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_50017,c_2971,c_49811]) ).
tcf(c_50030,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xn))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_49879,c_87]) ).
tcf(c_50033,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_49879,c_90]) ).
tcf(c_50039,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_49879,c_87]) ).
tcf(c_50042,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xn))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50033,c_49814,c_93,c_49811]) ).
tcf(c_50046,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50039,c_49814,c_93,c_49811]) ).
tcf(c_50051,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xn))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50030,c_49814,c_93,c_49811]) ).
tcf(c_50058,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_49880,c_85]) ).
tcf(c_50063,plain,
( doDivides0(sdtasdt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_49880,c_140]) ).
tcf(c_50066,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_49880,c_89]) ).
tcf(c_50067,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_49880,c_85]) ).
tcf(c_50068,plain,
doDivides0(sdtasdt0(xl,sdtpldt0(xl,xn)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_50063,c_93,c_49811]) ).
tcf(c_50069,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50066,c_49814,c_93,c_49811]) ).
tcf(c_50073,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50067,c_49814,c_93,c_49811]) ).
tcf(c_50078,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50058,c_49814,c_93,c_49811]) ).
tcf(c_50083,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_50068,c_79]) ).
tcf(c_50084,plain,
( ( sdtasdt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_50068,c_96]) ).
tcf(c_50085,plain,
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sK1(sdtasdt0(xl,sdtpldt0(xl,xn)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_50068,c_82]) ).
tcf(c_50086,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50083,c_93,c_49811]) ).
tcf(c_50090,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sK1(sdtasdt0(xl,sdtpldt0(xl,xn)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_50085,c_93,c_49811]) ).
tcf(c_50091,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_50084,c_49814,c_93,c_49811]) ).
tcf(c_50092,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xm,xn)))
| ( xl = sz00 )
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14858,c_87]) ).
tcf(c_50093,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(xl,sdtpldt0(xm,xn)))
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14858,c_83]) ).
tcf(c_50094,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xn),X0),sdtasdt0(xl,sdtpldt0(xm,xn)))
| ( X0 = xl )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14858,c_85]) ).
tcf(c_50095,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_14858,c_90]) ).
tcf(c_50098,plain,
( ( xl = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14858,c_88]) ).
tcf(c_50099,plain,
( doDivides0(sdtpldt0(xm,xn),sdtasdt0(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14858,c_140]) ).
tcf(c_50100,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14858,c_107]) ).
tcf(c_50101,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0) ),
inference(superposition,[status(thm)],[c_14858,c_87]) ).
tcf(c_50102,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(sdtpldt0(xm,xn),X0) != sdtasdt0(xl,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_14858,c_89]) ).
tcf(c_50103,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtasdt0(sdtpldt0(xm,xn),X0))
| ( X0 = xl )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_14858,c_85]) ).
tcf(c_50104,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_50100,c_49,c_12823]) ).
tcf(c_50105,plain,
doDivides0(sdtpldt0(xm,xn),sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_50099,c_49,c_12823]) ).
tcf(c_50106,plain,
sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_50093,c_54,c_49,c_12823]) ).
tcf(c_50107,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50098,c_54,c_49,c_12823]) ).
tcf(c_50110,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) != sdtasdt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50095,c_54,c_49,c_12823]) ).
tcf(c_50114,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xn),X0) != sdtasdt0(xl,sdtpldt0(xm,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50102,c_49,c_12823]) ).
tcf(c_50119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtasdt0(sdtpldt0(xm,xn),X0))
| ( X0 = xl )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50103,c_49,c_12823]) ).
tcf(c_50125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtasdt0(X0,xl))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50101,c_54,c_49,c_12823]) ).
tcf(c_50130,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xn),X0),sdtasdt0(xl,sdtpldt0(xm,xn)))
| ( X0 = xl )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50094,c_49,c_12823]) ).
tcf(c_50136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50092,c_54,c_49,c_12823]) ).
tcf(c_50185,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xr) = sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_50104,c_4999]) ).
tcf(c_50186,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xr) = sdtasdt0(xr,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_50104,c_4997]) ).
tcf(c_50187,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xm,xn))),xr) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_50104,c_4996]) ).
tcf(c_50188,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xq) = sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_50104,c_4945]) ).
tcf(c_50189,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xq) = sdtasdt0(xq,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_50104,c_4943]) ).
tcf(c_50190,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xm,xn))),xq) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_50104,c_4942]) ).
tcf(c_50191,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xp) = sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_50104,c_4262]) ).
tcf(c_50192,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xp) = sdtasdt0(xp,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_50104,c_4260]) ).
tcf(c_50193,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xm,xn))),xp) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_50104,c_4259]) ).
tcf(c_50194,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xn))),xl) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_50104,c_4186]) ).
tcf(c_50195,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtmndt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtasdt0(xl,sdtpldt0(xm,xn)))) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_50104,c_4041]) ).
tcf(c_50196,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sK0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtasdt0(xl,sdtpldt0(xm,xn)))) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_50104,c_3458]) ).
tcf(c_50197,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn))),sz00) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_50104,c_3195]) ).
tcf(c_50198,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xn))),xn) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_50104,c_3190]) ).
tcf(c_50199,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xn))),xm) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_50104,c_3189]) ).
tcf(c_50200,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xn))),xl) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_50104,c_3188]) ).
tcf(c_50201,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_50104,c_3101]) ).
tcf(c_50202,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_50104,c_3096]) ).
tcf(c_50203,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_50104,c_3095]) ).
tcf(c_50204,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_50104,c_3094]) ).
tcf(c_50205,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_50104,c_2815]) ).
tcf(c_50206,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_50104,c_2811]) ).
tcf(c_50207,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_50104,c_2810]) ).
tcf(c_50208,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xm,xn))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50104,c_72]) ).
tcf(c_50209,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xn)))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50104,c_71]) ).
tcf(c_50210,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,sdtpldt0(xm,xn))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50104,c_105]) ).
tcf(c_50211,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xm,xn))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xm,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50104,c_75]) ).
tcf(c_50212,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0),sdtasdt0(xl,sdtpldt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50104,c_153]) ).
tcf(c_50213,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0),sdtasdt0(xl,sdtpldt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50104,c_146]) ).
tcf(c_50214,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50104,c_106]) ).
tcf(c_50215,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_50104,c_2809]) ).
tcf(c_50216,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50104,c_76]) ).
tcf(c_50217,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_50104,c_92]) ).
tcf(c_50218,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_50104,c_91]) ).
tcf(c_50219,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn))) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_50104,c_74]) ).
tcf(c_50220,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sz00) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_50104,c_73]) ).
tcf(c_50288,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ doDivides0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_50105,c_79]) ).
tcf(c_50289,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtpldt0(xm,xn))) = sdtasdt0(xl,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_50105,c_96]) ).
tcf(c_50290,plain,
( ( sdtasdt0(sdtpldt0(xm,xn),sK1(sdtpldt0(xm,xn),sdtasdt0(xl,sdtpldt0(xm,xn)))) = sdtasdt0(xl,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_50105,c_82]) ).
tcf(c_50291,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50288,c_12823,c_50104]) ).
tcf(c_50295,plain,
sdtasdt0(sdtpldt0(xm,xn),sK1(sdtpldt0(xm,xn),sdtasdt0(xl,sdtpldt0(xm,xn)))) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_50290,c_12823,c_50104]) ).
tcf(c_50296,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtpldt0(xm,xn))) = sdtasdt0(xl,sdtpldt0(xm,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50289,c_12823,c_50104]) ).
tcf(c_50300,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_50106,c_99]) ).
tcf(c_50301,plain,
( ( sdtpldt0(sdtpldt0(xm,xn),sdtmndt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtpldt0(xm,xn))) = sdtasdt0(xl,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_50106,c_104]) ).
tcf(c_50302,plain,
( ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sdtpldt0(xm,xn) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_50106,c_100]) ).
tcf(c_50303,plain,
( ( sdtpldt0(sdtpldt0(xm,xn),sK0(sdtpldt0(xm,xn),sdtasdt0(xl,sdtpldt0(xm,xn)))) = sdtasdt0(xl,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_50106,c_66]) ).
tcf(c_50304,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50300,c_12823,c_50104]) ).
tcf(c_50308,plain,
sdtpldt0(sdtpldt0(xm,xn),sK0(sdtpldt0(xm,xn),sdtasdt0(xl,sdtpldt0(xm,xn)))) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_50303,c_12823,c_50104]) ).
tcf(c_50309,plain,
( ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sdtpldt0(xm,xn) )
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50302,c_12823,c_50104]) ).
tcf(c_50312,plain,
sdtpldt0(sdtpldt0(xm,xn),sdtmndt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtpldt0(xm,xn))) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_50301,c_12823,c_50104]) ).
tcf(c_50339,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_12688,c_63]) ).
tcf(c_50340,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)))
| ( sdtpldt0(sdtpldt0(xl,xr),X0) != sdtpldt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_12688,c_69]) ).
tcf(c_50341,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(sdtpldt0(xl,xr),X0))
| ( sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)),X0) ),
inference(superposition,[status(thm)],[c_12688,c_61]) ).
tcf(c_50343,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) != sdtpldt0(xl,xr) ) ),
inference(superposition,[status(thm)],[c_12688,c_70]) ).
tcf(c_50344,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xr),X0),sdtpldt0(xl,xr))
| ( sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_12688,c_61]) ).
tcf(c_50345,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))),sdtpldt0(xl,xr))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_12688,c_63]) ).
tcf(c_50346,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)))
| ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) != sdtpldt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50343,c_10141]) ).
tcf(c_50351,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)))
| ( sdtpldt0(sdtpldt0(xl,xr),X0) != sdtpldt0(xl,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50340,c_10141]) ).
tcf(c_50356,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))),sdtpldt0(xl,xr))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50345,c_10141]) ).
tcf(c_50362,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(X0,sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50339,c_10141]) ).
tcf(c_50368,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xr),X0),sdtpldt0(xl,xr))
| ( sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50344,c_10141]) ).
tcf(c_50374,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xr),sdtpldt0(sdtpldt0(xl,xr),X0))
| ( sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(sdtmndt0(sdtpldt0(xl,xr),sdtpldt0(xl,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50341,c_10141]) ).
tcf(c_50385,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xn))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_50217,c_87]) ).
tcf(c_50388,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_50217,c_90]) ).
tcf(c_50394,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xn))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_50217,c_87]) ).
tcf(c_50397,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xn))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50388,c_93,c_50104]) ).
tcf(c_50402,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xn))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50394,c_93,c_50104]) ).
tcf(c_50408,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xn))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50385,c_93,c_50104]) ).
tcf(c_50416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_50218,c_85]) ).
tcf(c_50421,plain,
( doDivides0(sdtasdt0(xl,sdtpldt0(xm,xn)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_50218,c_140]) ).
tcf(c_50424,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_50218,c_89]) ).
tcf(c_50425,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_50218,c_85]) ).
tcf(c_50426,plain,
doDivides0(sdtasdt0(xl,sdtpldt0(xm,xn)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_50421,c_93,c_50104]) ).
tcf(c_50427,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50424,c_93,c_50104]) ).
tcf(c_50432,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50425,c_93,c_50104]) ).
tcf(c_50438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50416,c_93,c_50104]) ).
tcf(c_50484,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn)))
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_50426,c_79]) ).
tcf(c_50485,plain,
( ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_50426,c_96]) ).
tcf(c_50486,plain,
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sK1(sdtasdt0(xl,sdtpldt0(xm,xn)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_50426,c_82]) ).
tcf(c_50487,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50484,c_93,c_50104]) ).
tcf(c_50491,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sK1(sdtasdt0(xl,sdtpldt0(xm,xn)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_50486,c_93,c_50104]) ).
tcf(c_50492,plain,
( ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50485,c_93,c_50104]) ).
tcf(c_50496,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xl,xp)))
| ( xl = sz00 )
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_14860,c_87]) ).
tcf(c_50497,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sdtasdt0(xl,sdtpldt0(xl,xp)))
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_14860,c_83]) ).
tcf(c_50498,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sdtasdt0(xl,sdtpldt0(xl,xp)))
| ( X0 = xl )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_14860,c_85]) ).
tcf(c_50499,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtasdt0(xl,sdtpldt0(xl,xp)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_14860,c_90]) ).
tcf(c_50502,plain,
( ( xl = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtasdt0(xl,sdtpldt0(xl,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14860,c_88]) ).
tcf(c_50503,plain,
( doDivides0(sdtpldt0(xl,xp),sdtasdt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_14860,c_140]) ).
tcf(c_50504,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_14860,c_107]) ).
tcf(c_50505,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(superposition,[status(thm)],[c_14860,c_87]) ).
tcf(c_50506,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtasdt0(sdtpldt0(xl,xp),X0) != sdtasdt0(xl,sdtpldt0(xl,xp)) ) ),
inference(superposition,[status(thm)],[c_14860,c_89]) ).
tcf(c_50507,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sdtasdt0(sdtpldt0(xl,xp),X0))
| ( X0 = xl )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_14860,c_85]) ).
tcf(c_50508,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_50504,c_49,c_7844]) ).
tcf(c_50509,plain,
doDivides0(sdtpldt0(xl,xp),sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_50503,c_49,c_7844]) ).
tcf(c_50510,plain,
sdtlseqdt0(sdtpldt0(xl,xp),sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_50497,c_54,c_49,c_7844]) ).
tcf(c_50511,plain,
sdtasdt0(xl,sdtpldt0(xl,xp)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_50502,c_54,c_7849,c_49,c_7844]) ).
tcf(c_50512,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,sdtpldt0(xl,xp)) != sdtasdt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50499,c_54,c_49,c_7844]) ).
tcf(c_50516,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xp),X0) != sdtasdt0(xl,sdtpldt0(xl,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50506,c_7849,c_49,c_7844]) ).
tcf(c_50520,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sdtasdt0(sdtpldt0(xl,xp),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50507,c_7849,c_49,c_7844]) ).
tcf(c_50525,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sdtasdt0(X0,xl))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50505,c_54,c_49,c_7844]) ).
tcf(c_50530,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sdtasdt0(xl,sdtpldt0(xl,xp)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50498,c_7849,c_49,c_7844]) ).
tcf(c_50535,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50496,c_54,c_49,c_7844]) ).
tcf(c_50544,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xp)),xr) = sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_50508,c_4999]) ).
tcf(c_50545,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),xr) = sdtasdt0(xr,sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_50508,c_4997]) ).
tcf(c_50546,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xl,xp))),xr) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_50508,c_4996]) ).
tcf(c_50547,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xp)),xq) = sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_50508,c_4945]) ).
tcf(c_50548,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),xq) = sdtasdt0(xq,sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_50508,c_4943]) ).
tcf(c_50549,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xl,xp))),xq) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_50508,c_4942]) ).
tcf(c_50550,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xp)),xp) = sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_50508,c_4262]) ).
tcf(c_50551,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),xp) = sdtasdt0(xp,sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_50508,c_4260]) ).
tcf(c_50552,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xl,xp))),xp) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_50508,c_4259]) ).
tcf(c_50553,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xp))),xl) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_50508,c_4186]) ).
tcf(c_50554,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sdtmndt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sdtasdt0(xl,sdtpldt0(xl,xp)))) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_50508,c_4041]) ).
tcf(c_50555,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sK0(sdtasdt0(xl,sdtpldt0(xl,xp)),sdtasdt0(xl,sdtpldt0(xl,xp)))) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_50508,c_3458]) ).
tcf(c_50556,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xp))),sz00) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_50508,c_3195]) ).
tcf(c_50557,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xp))),xn) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_50508,c_3190]) ).
tcf(c_50558,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xp))),xm) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_50508,c_3189]) ).
tcf(c_50559,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xp))),xl) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_50508,c_3188]) ).
tcf(c_50560,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_50508,c_3101]) ).
tcf(c_50561,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_50508,c_3096]) ).
tcf(c_50562,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_50508,c_3095]) ).
tcf(c_50563,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_50508,c_3094]) ).
tcf(c_50564,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_50508,c_2815]) ).
tcf(c_50565,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xp)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_50508,c_2811]) ).
tcf(c_50566,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xp)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_50508,c_2810]) ).
tcf(c_50567,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xl,xp))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50508,c_72]) ).
tcf(c_50568,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xp)))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50508,c_71]) ).
tcf(c_50569,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,sdtpldt0(xl,xp))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50508,c_105]) ).
tcf(c_50570,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xl,xp))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50508,c_75]) ).
tcf(c_50571,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),X0),sdtasdt0(xl,sdtpldt0(xl,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50508,c_153]) ).
tcf(c_50572,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xp)),X0),sdtasdt0(xl,sdtpldt0(xl,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50508,c_146]) ).
tcf(c_50573,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50508,c_106]) ).
tcf(c_50574,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xp)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_50508,c_2809]) ).
tcf(c_50575,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xp)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50508,c_76]) ).
tcf(c_50576,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xp))) = sz00,
inference(superposition,[status(thm)],[c_50508,c_92]) ).
tcf(c_50577,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sz00) = sz00,
inference(superposition,[status(thm)],[c_50508,c_91]) ).
tcf(c_50578,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xp))) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_50508,c_74]) ).
tcf(c_50579,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sz00) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_50508,c_73]) ).
tcf(c_50695,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ doDivides0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_50509,c_79]) ).
tcf(c_50696,plain,
( ( sdtpldt0(xl,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,xp),sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,xp))) = sdtasdt0(xl,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_50509,c_96]) ).
tcf(c_50697,plain,
( ( sdtasdt0(sdtpldt0(xl,xp),sK1(sdtpldt0(xl,xp),sdtasdt0(xl,sdtpldt0(xl,xp)))) = sdtasdt0(xl,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_50509,c_82]) ).
tcf(c_50698,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50695,c_7844,c_50508]) ).
tcf(c_50702,plain,
sdtasdt0(sdtpldt0(xl,xp),sK1(sdtpldt0(xl,xp),sdtasdt0(xl,sdtpldt0(xl,xp)))) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_50697,c_7844,c_50508]) ).
tcf(c_50703,plain,
sdtasdt0(sdtpldt0(xl,xp),sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,xp))) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_50696,c_7849,c_7844,c_50508]) ).
tcf(c_50705,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_50510,c_99]) ).
tcf(c_50706,plain,
( ( sdtpldt0(sdtpldt0(xl,xp),sdtmndt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,xp))) = sdtasdt0(xl,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_50510,c_104]) ).
tcf(c_50707,plain,
( ( sdtasdt0(xl,sdtpldt0(xl,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_50510,c_100]) ).
tcf(c_50708,plain,
( ( sdtpldt0(sdtpldt0(xl,xp),sK0(sdtpldt0(xl,xp),sdtasdt0(xl,sdtpldt0(xl,xp)))) = sdtasdt0(xl,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_50510,c_66]) ).
tcf(c_50709,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50705,c_7844,c_50508]) ).
tcf(c_50713,plain,
sdtpldt0(sdtpldt0(xl,xp),sK0(sdtpldt0(xl,xp),sdtasdt0(xl,sdtpldt0(xl,xp)))) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_50708,c_7844,c_50508]) ).
tcf(c_50714,plain,
( ( sdtasdt0(xl,sdtpldt0(xl,xp)) = sdtpldt0(xl,xp) )
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50707,c_7844,c_50508]) ).
tcf(c_50717,plain,
sdtpldt0(sdtpldt0(xl,xp),sdtmndt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,xp))) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_50706,c_7844,c_50508]) ).
tcf(c_50775,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xp))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_50576,c_87]) ).
tcf(c_50778,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_50576,c_90]) ).
tcf(c_50784,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_50576,c_87]) ).
tcf(c_50787,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50778,c_50511,c_93,c_50508]) ).
tcf(c_50791,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50784,c_50511,c_93,c_50508]) ).
tcf(c_50796,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xp))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50775,c_50511,c_93,c_50508]) ).
tcf(c_50803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_50577,c_85]) ).
tcf(c_50808,plain,
( doDivides0(sdtasdt0(xl,sdtpldt0(xl,xp)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_50577,c_140]) ).
tcf(c_50811,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_50577,c_89]) ).
tcf(c_50812,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_50577,c_85]) ).
tcf(c_50813,plain,
doDivides0(sdtasdt0(xl,sdtpldt0(xl,xp)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_50808,c_93,c_50508]) ).
tcf(c_50814,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50811,c_50511,c_93,c_50508]) ).
tcf(c_50818,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50812,c_50511,c_93,c_50508]) ).
tcf(c_50823,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50803,c_50511,c_93,c_50508]) ).
tcf(c_50828,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp)))
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_50813,c_79]) ).
tcf(c_50829,plain,
( ( sdtasdt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xp)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_50813,c_96]) ).
tcf(c_50830,plain,
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sK1(sdtasdt0(xl,sdtpldt0(xl,xp)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_50813,c_82]) ).
tcf(c_50831,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50828,c_93,c_50508]) ).
tcf(c_50835,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sK1(sdtasdt0(xl,sdtpldt0(xl,xp)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_50830,c_93,c_50508]) ).
tcf(c_50836,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xp)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xp)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_50829,c_50511,c_93,c_50508]) ).
tcf(c_50837,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xl,xq)))
| ( xl = sz00 )
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14861,c_87]) ).
tcf(c_50838,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sdtasdt0(xl,sdtpldt0(xl,xq)))
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14861,c_83]) ).
tcf(c_50839,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sdtasdt0(xl,sdtpldt0(xl,xq)))
| ( X0 = xl )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14861,c_85]) ).
tcf(c_50840,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtasdt0(xl,sdtpldt0(xl,xq)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_14861,c_90]) ).
tcf(c_50843,plain,
( ( xl = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtasdt0(xl,sdtpldt0(xl,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14861,c_88]) ).
tcf(c_50844,plain,
( doDivides0(sdtpldt0(xl,xq),sdtasdt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14861,c_140]) ).
tcf(c_50845,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14861,c_107]) ).
tcf(c_50846,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_14861,c_87]) ).
tcf(c_50847,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtasdt0(sdtpldt0(xl,xq),X0) != sdtasdt0(xl,sdtpldt0(xl,xq)) ) ),
inference(superposition,[status(thm)],[c_14861,c_89]) ).
tcf(c_50848,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sdtasdt0(sdtpldt0(xl,xq),X0))
| ( X0 = xl )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14861,c_85]) ).
tcf(c_50849,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_50845,c_49,c_9733]) ).
tcf(c_50850,plain,
doDivides0(sdtpldt0(xl,xq),sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_50844,c_49,c_9733]) ).
tcf(c_50851,plain,
sdtlseqdt0(sdtpldt0(xl,xq),sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_50838,c_54,c_49,c_9733]) ).
tcf(c_50852,plain,
sdtasdt0(xl,sdtpldt0(xl,xq)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_50843,c_54,c_9738,c_49,c_9733]) ).
tcf(c_50853,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,sdtpldt0(xl,xq)) != sdtasdt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50840,c_54,c_49,c_9733]) ).
tcf(c_50857,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xq),X0) != sdtasdt0(xl,sdtpldt0(xl,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50847,c_9738,c_49,c_9733]) ).
tcf(c_50861,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sdtasdt0(sdtpldt0(xl,xq),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50848,c_9738,c_49,c_9733]) ).
tcf(c_50866,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sdtasdt0(X0,xl))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50846,c_54,c_49,c_9733]) ).
tcf(c_50871,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sdtasdt0(xl,sdtpldt0(xl,xq)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50839,c_9738,c_49,c_9733]) ).
tcf(c_50876,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xl,xq)))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50837,c_54,c_49,c_9733]) ).
tcf(c_50925,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xq)),xr) = sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_50849,c_4999]) ).
tcf(c_50926,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),xr) = sdtasdt0(xr,sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_50849,c_4997]) ).
tcf(c_50927,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xl,xq))),xr) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_50849,c_4996]) ).
tcf(c_50928,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xq)),xq) = sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_50849,c_4945]) ).
tcf(c_50929,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),xq) = sdtasdt0(xq,sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_50849,c_4943]) ).
tcf(c_50930,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xl,xq))),xq) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_50849,c_4942]) ).
tcf(c_50931,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xq)),xp) = sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_50849,c_4262]) ).
tcf(c_50932,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),xp) = sdtasdt0(xp,sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_50849,c_4260]) ).
tcf(c_50933,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xl,xq))),xp) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_50849,c_4259]) ).
tcf(c_50934,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xq))),xl) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_50849,c_4186]) ).
tcf(c_50935,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sdtmndt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sdtasdt0(xl,sdtpldt0(xl,xq)))) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_50849,c_4041]) ).
tcf(c_50936,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sK0(sdtasdt0(xl,sdtpldt0(xl,xq)),sdtasdt0(xl,sdtpldt0(xl,xq)))) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_50849,c_3458]) ).
tcf(c_50937,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xq))),sz00) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_50849,c_3195]) ).
tcf(c_50938,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xq))),xn) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_50849,c_3190]) ).
tcf(c_50939,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xq))),xm) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_50849,c_3189]) ).
tcf(c_50940,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xq))),xl) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_50849,c_3188]) ).
tcf(c_50941,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_50849,c_3101]) ).
tcf(c_50942,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_50849,c_3096]) ).
tcf(c_50943,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_50849,c_3095]) ).
tcf(c_50944,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_50849,c_3094]) ).
tcf(c_50945,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_50849,c_2815]) ).
tcf(c_50946,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xq)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_50849,c_2811]) ).
tcf(c_50947,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xq)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_50849,c_2810]) ).
tcf(c_50948,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xl,xq))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50849,c_72]) ).
tcf(c_50949,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50849,c_71]) ).
tcf(c_50950,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,sdtpldt0(xl,xq))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50849,c_105]) ).
tcf(c_50951,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xl,xq))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50849,c_75]) ).
tcf(c_50952,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),X0),sdtasdt0(xl,sdtpldt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50849,c_153]) ).
tcf(c_50953,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xq)),X0),sdtasdt0(xl,sdtpldt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50849,c_146]) ).
tcf(c_50954,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50849,c_106]) ).
tcf(c_50955,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xq)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_50849,c_2809]) ).
tcf(c_50956,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xq)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50849,c_76]) ).
tcf(c_50957,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xq))) = sz00,
inference(superposition,[status(thm)],[c_50849,c_92]) ).
tcf(c_50958,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_50849,c_91]) ).
tcf(c_50959,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xq))) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_50849,c_74]) ).
tcf(c_50960,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sz00) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_50849,c_73]) ).
tcf(c_51028,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ doDivides0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_50850,c_79]) ).
tcf(c_51029,plain,
( ( sdtpldt0(xl,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,xq),sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xl,xq))) = sdtasdt0(xl,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_50850,c_96]) ).
tcf(c_51030,plain,
( ( sdtasdt0(sdtpldt0(xl,xq),sK1(sdtpldt0(xl,xq),sdtasdt0(xl,sdtpldt0(xl,xq)))) = sdtasdt0(xl,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_50850,c_82]) ).
tcf(c_51031,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51028,c_9733,c_50849]) ).
tcf(c_51035,plain,
sdtasdt0(sdtpldt0(xl,xq),sK1(sdtpldt0(xl,xq),sdtasdt0(xl,sdtpldt0(xl,xq)))) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_51030,c_9733,c_50849]) ).
tcf(c_51036,plain,
sdtasdt0(sdtpldt0(xl,xq),sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xl,xq))) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_51029,c_9738,c_9733,c_50849]) ).
tcf(c_51038,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_50851,c_99]) ).
tcf(c_51039,plain,
( ( sdtpldt0(sdtpldt0(xl,xq),sdtmndt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xl,xq))) = sdtasdt0(xl,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_50851,c_104]) ).
tcf(c_51040,plain,
( ( sdtasdt0(xl,sdtpldt0(xl,xq)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_50851,c_100]) ).
tcf(c_51041,plain,
( ( sdtpldt0(sdtpldt0(xl,xq),sK0(sdtpldt0(xl,xq),sdtasdt0(xl,sdtpldt0(xl,xq)))) = sdtasdt0(xl,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_50851,c_66]) ).
tcf(c_51042,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51038,c_9733,c_50849]) ).
tcf(c_51046,plain,
sdtpldt0(sdtpldt0(xl,xq),sK0(sdtpldt0(xl,xq),sdtasdt0(xl,sdtpldt0(xl,xq)))) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_51041,c_9733,c_50849]) ).
tcf(c_51047,plain,
( ( sdtasdt0(xl,sdtpldt0(xl,xq)) = sdtpldt0(xl,xq) )
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51040,c_9733,c_50849]) ).
tcf(c_51050,plain,
sdtpldt0(sdtpldt0(xl,xq),sdtmndt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xl,xq))) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_51039,c_9733,c_50849]) ).
tcf(c_51054,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12772,c_68]) ).
tcf(c_51055,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12772,c_67]) ).
tcf(c_51056,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_12772,c_143]) ).
tcf(c_51057,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_12772,c_77]) ).
tcf(c_51058,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_12772,c_63]) ).
tcf(c_51059,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) ) ),
inference(superposition,[status(thm)],[c_12772,c_69]) ).
tcf(c_51060,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_12772,c_61]) ).
tcf(c_51061,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_12772,c_78]) ).
tcf(c_51062,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_12772,c_70]) ).
tcf(c_51063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_12772,c_61]) ).
tcf(c_51064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_12772,c_63]) ).
tcf(c_51065,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(forward_subsumption_resolution,[status(thm)],[c_51057,c_50,c_3010]) ).
tcf(c_51066,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(forward_subsumption_resolution,[status(thm)],[c_51056,c_50,c_3010]) ).
tcf(c_51070,plain,
sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_51055,c_3444,c_50,c_3010]) ).
tcf(c_51071,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51062,c_50,c_3010]) ).
tcf(c_51075,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51061,c_50,c_3010]) ).
tcf(c_51080,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51059,c_50,c_3010]) ).
tcf(c_51084,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51063,c_50,c_3010]) ).
tcf(c_51089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51060,c_50,c_3010]) ).
tcf(c_51094,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51064,c_50,c_3010]) ).
tcf(c_51099,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51058,c_50,c_3010]) ).
tcf(c_51150,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xr) = sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_51065,c_4999]) ).
tcf(c_51151,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xr) = sdtasdt0(xr,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_51065,c_4997]) ).
tcf(c_51152,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),xr) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_51065,c_4996]) ).
tcf(c_51153,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_51065,c_4945]) ).
tcf(c_51154,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_51065,c_4943]) ).
tcf(c_51155,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),xq) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_51065,c_4942]) ).
tcf(c_51156,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_51065,c_4262]) ).
tcf(c_51157,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_51065,c_4260]) ).
tcf(c_51158,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),xp) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_51065,c_4259]) ).
tcf(c_51159,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),xl) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_51065,c_4186]) ).
tcf(c_51160,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_51065,c_4041]) ).
tcf(c_51161,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sK0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_51065,c_3458]) ).
tcf(c_51162,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_51065,c_3195]) ).
tcf(c_51163,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),xn) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_51065,c_3190]) ).
tcf(c_51164,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_51065,c_3189]) ).
tcf(c_51165,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),xl) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_51065,c_3188]) ).
tcf(c_51166,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_51065,c_3101]) ).
tcf(c_51167,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_51065,c_3096]) ).
tcf(c_51168,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_51065,c_3095]) ).
tcf(c_51169,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_51065,c_3094]) ).
tcf(c_51170,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_51065,c_2815]) ).
tcf(c_51171,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_51065,c_2811]) ).
tcf(c_51172,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_51065,c_2810]) ).
tcf(c_51173,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51065,c_72]) ).
tcf(c_51174,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51065,c_71]) ).
tcf(c_51175,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51065,c_105]) ).
tcf(c_51176,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51065,c_75]) ).
tcf(c_51177,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51065,c_153]) ).
tcf(c_51178,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51065,c_146]) ).
tcf(c_51179,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51065,c_106]) ).
tcf(c_51180,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_51065,c_2809]) ).
tcf(c_51181,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51065,c_76]) ).
tcf(c_51182,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_51065,c_92]) ).
tcf(c_51183,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51065,c_91]) ).
tcf(c_51184,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_51065,c_74]) ).
tcf(c_51185,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_51065,c_73]) ).
tcf(c_51268,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xq))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_50957,c_87]) ).
tcf(c_51271,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_50957,c_90]) ).
tcf(c_51277,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xq))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_50957,c_87]) ).
tcf(c_51280,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51271,c_50852,c_93,c_50849]) ).
tcf(c_51284,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51277,c_50852,c_93,c_50849]) ).
tcf(c_51289,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xq))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51268,c_50852,c_93,c_50849]) ).
tcf(c_51296,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_50958,c_85]) ).
tcf(c_51301,plain,
( doDivides0(sdtasdt0(xl,sdtpldt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_50958,c_140]) ).
tcf(c_51304,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_50958,c_89]) ).
tcf(c_51305,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_50958,c_85]) ).
tcf(c_51306,plain,
doDivides0(sdtasdt0(xl,sdtpldt0(xl,xq)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_51301,c_93,c_50849]) ).
tcf(c_51307,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51304,c_50852,c_93,c_50849]) ).
tcf(c_51311,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51305,c_50852,c_93,c_50849]) ).
tcf(c_51316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51296,c_50852,c_93,c_50849]) ).
tcf(c_51370,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq)))
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_51306,c_79]) ).
tcf(c_51371,plain,
( ( sdtasdt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xq)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_51306,c_96]) ).
tcf(c_51372,plain,
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sK1(sdtasdt0(xl,sdtpldt0(xl,xq)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_51306,c_82]) ).
tcf(c_51373,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51370,c_93,c_50849]) ).
tcf(c_51377,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sK1(sdtasdt0(xl,sdtpldt0(xl,xq)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_51372,c_93,c_50849]) ).
tcf(c_51378,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xq)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xq)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_51371,c_50852,c_93,c_50849]) ).
tcf(c_51379,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xl,xr)))
| ( xl = sz00 )
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_14862,c_87]) ).
tcf(c_51380,plain,
( sdtlseqdt0(sdtpldt0(xl,xr),sdtasdt0(xl,sdtpldt0(xl,xr)))
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_14862,c_83]) ).
tcf(c_51381,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xr),X0),sdtasdt0(xl,sdtpldt0(xl,xr)))
| ( X0 = xl )
| ( sdtpldt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_14862,c_85]) ).
tcf(c_51382,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtasdt0(xl,sdtpldt0(xl,xr)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_14862,c_90]) ).
tcf(c_51385,plain,
( ( xl = sz00 )
| ( sdtpldt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtasdt0(xl,sdtpldt0(xl,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14862,c_88]) ).
tcf(c_51386,plain,
( doDivides0(sdtpldt0(xl,xr),sdtasdt0(xl,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_14862,c_140]) ).
tcf(c_51387,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_14862,c_107]) ).
tcf(c_51388,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0) ),
inference(superposition,[status(thm)],[c_14862,c_87]) ).
tcf(c_51389,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ( sdtasdt0(sdtpldt0(xl,xr),X0) != sdtasdt0(xl,sdtpldt0(xl,xr)) ) ),
inference(superposition,[status(thm)],[c_14862,c_89]) ).
tcf(c_51390,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sdtasdt0(sdtpldt0(xl,xr),X0))
| ( X0 = xl )
| ( sdtpldt0(xl,xr) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_14862,c_85]) ).
tcf(c_51391,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_51387,c_49,c_10141]) ).
tcf(c_51392,plain,
doDivides0(sdtpldt0(xl,xr),sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_51386,c_49,c_10141]) ).
tcf(c_51393,plain,
sdtlseqdt0(sdtpldt0(xl,xr),sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_51380,c_54,c_49,c_10141]) ).
tcf(c_51394,plain,
sdtasdt0(xl,sdtpldt0(xl,xr)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_51385,c_54,c_10146,c_49,c_10141]) ).
tcf(c_51395,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,sdtpldt0(xl,xr)) != sdtasdt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51382,c_54,c_49,c_10141]) ).
tcf(c_51399,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xr),X0) != sdtasdt0(xl,sdtpldt0(xl,xr)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51389,c_10146,c_49,c_10141]) ).
tcf(c_51403,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sdtasdt0(sdtpldt0(xl,xr),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51390,c_10146,c_49,c_10141]) ).
tcf(c_51408,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sdtasdt0(X0,xl))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51388,c_54,c_49,c_10141]) ).
tcf(c_51413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xr),X0),sdtasdt0(xl,sdtpldt0(xl,xr)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51381,c_10146,c_49,c_10141]) ).
tcf(c_51418,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xl,xr)))
| ( sdtpldt0(xl,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51379,c_54,c_49,c_10141]) ).
tcf(c_51427,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xr)),xr) = sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_51391,c_4999]) ).
tcf(c_51428,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),xr) = sdtasdt0(xr,sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_51391,c_4997]) ).
tcf(c_51429,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xl,xr))),xr) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_51391,c_4996]) ).
tcf(c_51430,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xr)),xq) = sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_51391,c_4945]) ).
tcf(c_51431,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),xq) = sdtasdt0(xq,sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_51391,c_4943]) ).
tcf(c_51432,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xl,xr))),xq) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_51391,c_4942]) ).
tcf(c_51433,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xr)),xp) = sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_51391,c_4262]) ).
tcf(c_51434,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),xp) = sdtasdt0(xp,sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_51391,c_4260]) ).
tcf(c_51435,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xl,xr))),xp) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_51391,c_4259]) ).
tcf(c_51436,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xr))),xl) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_51391,c_4186]) ).
tcf(c_51437,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sdtmndt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sdtasdt0(xl,sdtpldt0(xl,xr)))) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_51391,c_4041]) ).
tcf(c_51438,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sK0(sdtasdt0(xl,sdtpldt0(xl,xr)),sdtasdt0(xl,sdtpldt0(xl,xr)))) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_51391,c_3458]) ).
tcf(c_51439,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xr))),sz00) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_51391,c_3195]) ).
tcf(c_51440,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xr))),xn) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_51391,c_3190]) ).
tcf(c_51441,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xr))),xm) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_51391,c_3189]) ).
tcf(c_51442,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xr))),xl) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_51391,c_3188]) ).
tcf(c_51443,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_51391,c_3101]) ).
tcf(c_51444,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_51391,c_3096]) ).
tcf(c_51445,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_51391,c_3095]) ).
tcf(c_51446,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_51391,c_3094]) ).
tcf(c_51447,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_51391,c_2815]) ).
tcf(c_51448,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xr)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_51391,c_2811]) ).
tcf(c_51449,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xr)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_51391,c_2810]) ).
tcf(c_51450,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xl,xr))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51391,c_72]) ).
tcf(c_51451,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xr)))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xl,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51391,c_71]) ).
tcf(c_51452,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,sdtpldt0(xl,xr))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xl,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51391,c_105]) ).
tcf(c_51453,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xl,xr))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xl,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51391,c_75]) ).
tcf(c_51454,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xl,xr)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),X0),sdtasdt0(xl,sdtpldt0(xl,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51391,c_153]) ).
tcf(c_51455,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xr)),X0),sdtasdt0(xl,sdtpldt0(xl,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51391,c_146]) ).
tcf(c_51456,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51391,c_106]) ).
tcf(c_51457,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xr)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xr))),
inference(superposition,[status(thm)],[c_51391,c_2809]) ).
tcf(c_51458,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xr)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xl,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51391,c_76]) ).
tcf(c_51459,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xr))) = sz00,
inference(superposition,[status(thm)],[c_51391,c_92]) ).
tcf(c_51460,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sz00) = sz00,
inference(superposition,[status(thm)],[c_51391,c_91]) ).
tcf(c_51461,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xr))) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_51391,c_74]) ).
tcf(c_51462,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sz00) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(superposition,[status(thm)],[c_51391,c_73]) ).
tcf(c_51586,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ doDivides0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_51392,c_79]) ).
tcf(c_51587,plain,
( ( sdtpldt0(xl,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,xr),sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sdtpldt0(xl,xr))) = sdtasdt0(xl,sdtpldt0(xl,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_51392,c_96]) ).
tcf(c_51588,plain,
( ( sdtasdt0(sdtpldt0(xl,xr),sK1(sdtpldt0(xl,xr),sdtasdt0(xl,sdtpldt0(xl,xr)))) = sdtasdt0(xl,sdtpldt0(xl,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_51392,c_82]) ).
tcf(c_51589,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51586,c_10141,c_51391]) ).
tcf(c_51593,plain,
sdtasdt0(sdtpldt0(xl,xr),sK1(sdtpldt0(xl,xr),sdtasdt0(xl,sdtpldt0(xl,xr)))) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_51588,c_10141,c_51391]) ).
tcf(c_51594,plain,
sdtasdt0(sdtpldt0(xl,xr),sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sdtpldt0(xl,xr))) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_51587,c_10146,c_10141,c_51391]) ).
tcf(c_51596,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_51393,c_99]) ).
tcf(c_51597,plain,
( ( sdtpldt0(sdtpldt0(xl,xr),sdtmndt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sdtpldt0(xl,xr))) = sdtasdt0(xl,sdtpldt0(xl,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_51393,c_104]) ).
tcf(c_51598,plain,
( ( sdtasdt0(xl,sdtpldt0(xl,xr)) = sdtpldt0(xl,xr) )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr)))
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sdtpldt0(xl,xr)) ),
inference(superposition,[status(thm)],[c_51393,c_100]) ).
tcf(c_51599,plain,
( ( sdtpldt0(sdtpldt0(xl,xr),sK0(sdtpldt0(xl,xr),sdtasdt0(xl,sdtpldt0(xl,xr)))) = sdtasdt0(xl,sdtpldt0(xl,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_51393,c_66]) ).
tcf(c_51600,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xr)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51596,c_10141,c_51391]) ).
tcf(c_51604,plain,
sdtpldt0(sdtpldt0(xl,xr),sK0(sdtpldt0(xl,xr),sdtasdt0(xl,sdtpldt0(xl,xr)))) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_51599,c_10141,c_51391]) ).
tcf(c_51605,plain,
( ( sdtasdt0(xl,sdtpldt0(xl,xr)) = sdtpldt0(xl,xr) )
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sdtpldt0(xl,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51598,c_10141,c_51391]) ).
tcf(c_51608,plain,
sdtpldt0(sdtpldt0(xl,xr),sdtmndt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sdtpldt0(xl,xr))) = sdtasdt0(xl,sdtpldt0(xl,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_51597,c_10141,c_51391]) ).
tcf(c_51650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xr))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_51459,c_87]) ).
tcf(c_51653,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_51459,c_90]) ).
tcf(c_51659,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xr))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_51459,c_87]) ).
tcf(c_51662,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51653,c_51394,c_93,c_51391]) ).
tcf(c_51666,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xr))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51659,c_51394,c_93,c_51391]) ).
tcf(c_51671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xr))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51650,c_51394,c_93,c_51391]) ).
tcf(c_51678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_51460,c_85]) ).
tcf(c_51683,plain,
( doDivides0(sdtasdt0(xl,sdtpldt0(xl,xr)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_51460,c_140]) ).
tcf(c_51686,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_51460,c_89]) ).
tcf(c_51687,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_51460,c_85]) ).
tcf(c_51688,plain,
doDivides0(sdtasdt0(xl,sdtpldt0(xl,xr)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_51683,c_93,c_51391]) ).
tcf(c_51689,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51686,c_51394,c_93,c_51391]) ).
tcf(c_51693,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51687,c_51394,c_93,c_51391]) ).
tcf(c_51698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51678,c_51394,c_93,c_51391]) ).
tcf(c_51703,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr)))
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_51688,c_79]) ).
tcf(c_51704,plain,
( ( sdtasdt0(xl,sdtpldt0(xl,xr)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xr)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_51688,c_96]) ).
tcf(c_51705,plain,
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sK1(sdtasdt0(xl,sdtpldt0(xl,xr)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xr))) ),
inference(superposition,[status(thm)],[c_51688,c_82]) ).
tcf(c_51706,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xl,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51703,c_93,c_51391]) ).
tcf(c_51710,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sK1(sdtasdt0(xl,sdtpldt0(xl,xr)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_51705,c_93,c_51391]) ).
tcf(c_51711,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xr)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xr)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_51704,c_51394,c_93,c_51391]) ).
tcf(c_51712,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xm,xr)))
| ( xl = sz00 )
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14863,c_87]) ).
tcf(c_51713,plain,
( sdtlseqdt0(sdtpldt0(xm,xr),sdtasdt0(xl,sdtpldt0(xm,xr)))
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14863,c_83]) ).
tcf(c_51714,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xr),X0),sdtasdt0(xl,sdtpldt0(xm,xr)))
| ( X0 = xl )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14863,c_85]) ).
tcf(c_51715,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtasdt0(xl,sdtpldt0(xm,xr)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_14863,c_90]) ).
tcf(c_51718,plain,
( ( xl = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtasdt0(xl,sdtpldt0(xm,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14863,c_88]) ).
tcf(c_51719,plain,
( doDivides0(sdtpldt0(xm,xr),sdtasdt0(xl,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14863,c_140]) ).
tcf(c_51720,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14863,c_107]) ).
tcf(c_51721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_14863,c_87]) ).
tcf(c_51722,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtasdt0(sdtpldt0(xm,xr),X0) != sdtasdt0(xl,sdtpldt0(xm,xr)) ) ),
inference(superposition,[status(thm)],[c_14863,c_89]) ).
tcf(c_51723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sdtasdt0(sdtpldt0(xm,xr),X0))
| ( X0 = xl )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_14863,c_85]) ).
tcf(c_51724,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_51720,c_49,c_12990]) ).
tcf(c_51725,plain,
doDivides0(sdtpldt0(xm,xr),sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_51719,c_49,c_12990]) ).
tcf(c_51726,plain,
sdtlseqdt0(sdtpldt0(xm,xr),sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_51713,c_54,c_49,c_12990]) ).
tcf(c_51727,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51718,c_54,c_49,c_12990]) ).
tcf(c_51730,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,sdtpldt0(xm,xr)) != sdtasdt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51715,c_54,c_49,c_12990]) ).
tcf(c_51734,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xr),X0) != sdtasdt0(xl,sdtpldt0(xm,xr)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51722,c_49,c_12990]) ).
tcf(c_51739,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sdtasdt0(sdtpldt0(xm,xr),X0))
| ( X0 = xl )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51723,c_49,c_12990]) ).
tcf(c_51745,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sdtasdt0(X0,xl))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51721,c_54,c_49,c_12990]) ).
tcf(c_51750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xr),X0),sdtasdt0(xl,sdtpldt0(xm,xr)))
| ( X0 = xl )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51714,c_49,c_12990]) ).
tcf(c_51756,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xm,xr)))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51712,c_54,c_49,c_12990]) ).
tcf(c_51765,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xr)),xr) = sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_51724,c_4999]) ).
tcf(c_51766,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),xr) = sdtasdt0(xr,sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_51724,c_4997]) ).
tcf(c_51767,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xm,xr))),xr) = sdtasdt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_51724,c_4996]) ).
tcf(c_51768,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xr)),xq) = sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_51724,c_4945]) ).
tcf(c_51769,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),xq) = sdtasdt0(xq,sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_51724,c_4943]) ).
tcf(c_51770,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xm,xr))),xq) = sdtasdt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_51724,c_4942]) ).
tcf(c_51771,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xr)),xp) = sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_51724,c_4262]) ).
tcf(c_51772,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),xp) = sdtasdt0(xp,sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_51724,c_4260]) ).
tcf(c_51773,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xm,xr))),xp) = sdtasdt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_51724,c_4259]) ).
tcf(c_51774,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xr))),xl) = sdtasdt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_51724,c_4186]) ).
tcf(c_51775,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sdtmndt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sdtasdt0(xl,sdtpldt0(xm,xr)))) = sdtasdt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_51724,c_4041]) ).
tcf(c_51776,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sK0(sdtasdt0(xl,sdtpldt0(xm,xr)),sdtasdt0(xl,sdtpldt0(xm,xr)))) = sdtasdt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_51724,c_3458]) ).
tcf(c_51777,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xr))),sz00) = sdtasdt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_51724,c_3195]) ).
tcf(c_51778,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xr))),xn) = sdtasdt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_51724,c_3190]) ).
tcf(c_51779,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xr))),xm) = sdtasdt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_51724,c_3189]) ).
tcf(c_51780,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xr))),xl) = sdtasdt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_51724,c_3188]) ).
tcf(c_51781,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_51724,c_3101]) ).
tcf(c_51782,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_51724,c_3096]) ).
tcf(c_51783,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_51724,c_3095]) ).
tcf(c_51784,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_51724,c_3094]) ).
tcf(c_51785,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_51724,c_2815]) ).
tcf(c_51786,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xr)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_51724,c_2811]) ).
tcf(c_51787,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xr)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_51724,c_2810]) ).
tcf(c_51788,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xm,xr))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51724,c_72]) ).
tcf(c_51789,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xr)))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xm,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51724,c_71]) ).
tcf(c_51790,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,sdtpldt0(xm,xr))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xm,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51724,c_105]) ).
tcf(c_51791,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xm,xr))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xm,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51724,c_75]) ).
tcf(c_51792,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),X0),sdtasdt0(xl,sdtpldt0(xm,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51724,c_153]) ).
tcf(c_51793,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xr)),X0),sdtasdt0(xl,sdtpldt0(xm,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51724,c_146]) ).
tcf(c_51794,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51724,c_106]) ).
tcf(c_51795,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xr)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xr))),
inference(superposition,[status(thm)],[c_51724,c_2809]) ).
tcf(c_51796,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xr)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xm,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51724,c_76]) ).
tcf(c_51797,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xr))) = sz00,
inference(superposition,[status(thm)],[c_51724,c_92]) ).
tcf(c_51798,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sz00) = sz00,
inference(superposition,[status(thm)],[c_51724,c_91]) ).
tcf(c_51799,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xr))) = sdtasdt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_51724,c_74]) ).
tcf(c_51800,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sz00) = sdtasdt0(xl,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_51724,c_73]) ).
tcf(c_51902,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12776,c_68]) ).
tcf(c_51903,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12776,c_67]) ).
tcf(c_51904,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_12776,c_143]) ).
tcf(c_51905,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_12776,c_77]) ).
tcf(c_51906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_12776,c_63]) ).
tcf(c_51907,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) ) ),
inference(superposition,[status(thm)],[c_12776,c_69]) ).
tcf(c_51908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_12776,c_61]) ).
tcf(c_51909,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_12776,c_78]) ).
tcf(c_51910,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_12776,c_70]) ).
tcf(c_51911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_12776,c_61]) ).
tcf(c_51912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_12776,c_63]) ).
tcf(c_51913,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(forward_subsumption_resolution,[status(thm)],[c_51905,c_50,c_3373]) ).
tcf(c_51914,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(forward_subsumption_resolution,[status(thm)],[c_51904,c_50,c_3373]) ).
tcf(c_51918,plain,
sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_51903,c_3443,c_50,c_3373]) ).
tcf(c_51919,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51910,c_50,c_3373]) ).
tcf(c_51923,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51909,c_50,c_3373]) ).
tcf(c_51928,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51907,c_50,c_3373]) ).
tcf(c_51932,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51911,c_50,c_3373]) ).
tcf(c_51937,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51908,c_50,c_3373]) ).
tcf(c_51942,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51912,c_50,c_3373]) ).
tcf(c_51947,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51906,c_50,c_3373]) ).
tcf(c_51998,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xr) = sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_51913,c_4999]) ).
tcf(c_51999,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xr) = sdtasdt0(xr,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_51913,c_4997]) ).
tcf(c_52000,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),xr) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_51913,c_4996]) ).
tcf(c_52001,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_51913,c_4945]) ).
tcf(c_52002,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_51913,c_4943]) ).
tcf(c_52003,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),xq) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_51913,c_4942]) ).
tcf(c_52004,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_51913,c_4262]) ).
tcf(c_52005,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_51913,c_4260]) ).
tcf(c_52006,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),xp) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_51913,c_4259]) ).
tcf(c_52007,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),xl) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_51913,c_4186]) ).
tcf(c_52008,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_51913,c_4041]) ).
tcf(c_52009,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sK0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_51913,c_3458]) ).
tcf(c_52010,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_51913,c_3195]) ).
tcf(c_52011,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),xn) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_51913,c_3190]) ).
tcf(c_52012,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_51913,c_3189]) ).
tcf(c_52013,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),xl) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_51913,c_3188]) ).
tcf(c_52014,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_51913,c_3101]) ).
tcf(c_52015,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_51913,c_3096]) ).
tcf(c_52016,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_51913,c_3095]) ).
tcf(c_52017,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_51913,c_3094]) ).
tcf(c_52018,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_51913,c_2815]) ).
tcf(c_52019,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_51913,c_2811]) ).
tcf(c_52020,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_51913,c_2810]) ).
tcf(c_52021,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51913,c_72]) ).
tcf(c_52022,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51913,c_71]) ).
tcf(c_52023,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51913,c_105]) ).
tcf(c_52024,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51913,c_75]) ).
tcf(c_52025,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51913,c_153]) ).
tcf(c_52026,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51913,c_146]) ).
tcf(c_52027,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51913,c_106]) ).
tcf(c_52028,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_51913,c_2809]) ).
tcf(c_52029,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51913,c_76]) ).
tcf(c_52030,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_51913,c_92]) ).
tcf(c_52031,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_51913,c_91]) ).
tcf(c_52032,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_51913,c_74]) ).
tcf(c_52033,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_51913,c_73]) ).
tcf(c_52165,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ doDivides0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_51725,c_79]) ).
tcf(c_52166,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xr),sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sdtpldt0(xm,xr))) = sdtasdt0(xl,sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_51725,c_96]) ).
tcf(c_52167,plain,
( ( sdtasdt0(sdtpldt0(xm,xr),sK1(sdtpldt0(xm,xr),sdtasdt0(xl,sdtpldt0(xm,xr)))) = sdtasdt0(xl,sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_51725,c_82]) ).
tcf(c_52168,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52165,c_12990,c_51724]) ).
tcf(c_52172,plain,
sdtasdt0(sdtpldt0(xm,xr),sK1(sdtpldt0(xm,xr),sdtasdt0(xl,sdtpldt0(xm,xr)))) = sdtasdt0(xl,sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_52167,c_12990,c_51724]) ).
tcf(c_52173,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xr),sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sdtpldt0(xm,xr))) = sdtasdt0(xl,sdtpldt0(xm,xr)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52166,c_12990,c_51724]) ).
tcf(c_52192,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_51726,c_99]) ).
tcf(c_52193,plain,
( ( sdtpldt0(sdtpldt0(xm,xr),sdtmndt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sdtpldt0(xm,xr))) = sdtasdt0(xl,sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_51726,c_104]) ).
tcf(c_52194,plain,
( ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr)))
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_51726,c_100]) ).
tcf(c_52195,plain,
( ( sdtpldt0(sdtpldt0(xm,xr),sK0(sdtpldt0(xm,xr),sdtasdt0(xl,sdtpldt0(xm,xr)))) = sdtasdt0(xl,sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_51726,c_66]) ).
tcf(c_52196,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xr)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52192,c_12990,c_51724]) ).
tcf(c_52200,plain,
sdtpldt0(sdtpldt0(xm,xr),sK0(sdtpldt0(xm,xr),sdtasdt0(xl,sdtpldt0(xm,xr)))) = sdtasdt0(xl,sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_52195,c_12990,c_51724]) ).
tcf(c_52201,plain,
( ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sdtpldt0(xm,xr) )
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52194,c_12990,c_51724]) ).
tcf(c_52204,plain,
sdtpldt0(sdtpldt0(xm,xr),sdtmndt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sdtpldt0(xm,xr))) = sdtasdt0(xl,sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_52193,c_12990,c_51724]) ).
tcf(c_52206,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xr))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_51797,c_87]) ).
tcf(c_52209,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_51797,c_90]) ).
tcf(c_52215,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xr))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_51797,c_87]) ).
tcf(c_52218,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52209,c_93,c_51724]) ).
tcf(c_52223,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xr))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52215,c_93,c_51724]) ).
tcf(c_52229,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xr))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52206,c_93,c_51724]) ).
tcf(c_52237,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_51798,c_85]) ).
tcf(c_52242,plain,
( doDivides0(sdtasdt0(xl,sdtpldt0(xm,xr)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_51798,c_140]) ).
tcf(c_52245,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_51798,c_89]) ).
tcf(c_52246,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_51798,c_85]) ).
tcf(c_52247,plain,
doDivides0(sdtasdt0(xl,sdtpldt0(xm,xr)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_52242,c_93,c_51724]) ).
tcf(c_52248,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52245,c_93,c_51724]) ).
tcf(c_52253,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52246,c_93,c_51724]) ).
tcf(c_52259,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52237,c_93,c_51724]) ).
tcf(c_52284,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr)))
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_52247,c_79]) ).
tcf(c_52285,plain,
( ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xr)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_52247,c_96]) ).
tcf(c_52286,plain,
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sK1(sdtasdt0(xl,sdtpldt0(xm,xr)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_52247,c_82]) ).
tcf(c_52287,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xm,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52284,c_93,c_51724]) ).
tcf(c_52291,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sK1(sdtasdt0(xl,sdtpldt0(xm,xr)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_52286,c_93,c_51724]) ).
tcf(c_52292,plain,
( ( sdtasdt0(xl,sdtpldt0(xm,xr)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xr)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xr)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52285,c_93,c_51724]) ).
tcf(c_52295,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xm,xp)))
| ( xl = sz00 )
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14864,c_87]) ).
tcf(c_52296,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sdtasdt0(xl,sdtpldt0(xm,xp)))
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14864,c_83]) ).
tcf(c_52297,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xp),X0),sdtasdt0(xl,sdtpldt0(xm,xp)))
| ( X0 = xl )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14864,c_85]) ).
tcf(c_52298,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtasdt0(xl,sdtpldt0(xm,xp)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_14864,c_90]) ).
tcf(c_52301,plain,
( ( xl = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtasdt0(xl,sdtpldt0(xm,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14864,c_88]) ).
tcf(c_52302,plain,
( doDivides0(sdtpldt0(xm,xp),sdtasdt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14864,c_140]) ).
tcf(c_52303,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14864,c_107]) ).
tcf(c_52304,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_14864,c_87]) ).
tcf(c_52305,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtasdt0(sdtpldt0(xm,xp),X0) != sdtasdt0(xl,sdtpldt0(xm,xp)) ) ),
inference(superposition,[status(thm)],[c_14864,c_89]) ).
tcf(c_52306,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sdtasdt0(sdtpldt0(xm,xp),X0))
| ( X0 = xl )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_14864,c_85]) ).
tcf(c_52307,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_52303,c_49,c_13190]) ).
tcf(c_52308,plain,
doDivides0(sdtpldt0(xm,xp),sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_52302,c_49,c_13190]) ).
tcf(c_52309,plain,
sdtlseqdt0(sdtpldt0(xm,xp),sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_52296,c_54,c_49,c_13190]) ).
tcf(c_52310,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52301,c_54,c_49,c_13190]) ).
tcf(c_52313,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,sdtpldt0(xm,xp)) != sdtasdt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52298,c_54,c_49,c_13190]) ).
tcf(c_52317,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xp),X0) != sdtasdt0(xl,sdtpldt0(xm,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52305,c_49,c_13190]) ).
tcf(c_52322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sdtasdt0(sdtpldt0(xm,xp),X0))
| ( X0 = xl )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52306,c_49,c_13190]) ).
tcf(c_52328,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sdtasdt0(X0,xl))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52304,c_54,c_49,c_13190]) ).
tcf(c_52333,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xp),X0),sdtasdt0(xl,sdtpldt0(xm,xp)))
| ( X0 = xl )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52297,c_49,c_13190]) ).
tcf(c_52339,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52295,c_54,c_49,c_13190]) ).
tcf(c_52381,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xp)),xr) = sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_52307,c_4999]) ).
tcf(c_52382,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),xr) = sdtasdt0(xr,sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_52307,c_4997]) ).
tcf(c_52383,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xm,xp))),xr) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_52307,c_4996]) ).
tcf(c_52384,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xp)),xq) = sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_52307,c_4945]) ).
tcf(c_52385,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),xq) = sdtasdt0(xq,sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_52307,c_4943]) ).
tcf(c_52386,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xm,xp))),xq) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_52307,c_4942]) ).
tcf(c_52387,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xp)),xp) = sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_52307,c_4262]) ).
tcf(c_52388,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),xp) = sdtasdt0(xp,sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_52307,c_4260]) ).
tcf(c_52389,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xm,xp))),xp) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_52307,c_4259]) ).
tcf(c_52390,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xp))),xl) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_52307,c_4186]) ).
tcf(c_52391,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sdtmndt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sdtasdt0(xl,sdtpldt0(xm,xp)))) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_52307,c_4041]) ).
tcf(c_52392,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sK0(sdtasdt0(xl,sdtpldt0(xm,xp)),sdtasdt0(xl,sdtpldt0(xm,xp)))) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_52307,c_3458]) ).
tcf(c_52393,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xp))),sz00) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_52307,c_3195]) ).
tcf(c_52394,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xp))),xn) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_52307,c_3190]) ).
tcf(c_52395,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xp))),xm) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_52307,c_3189]) ).
tcf(c_52396,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xp))),xl) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_52307,c_3188]) ).
tcf(c_52397,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_52307,c_3101]) ).
tcf(c_52398,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_52307,c_3096]) ).
tcf(c_52399,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_52307,c_3095]) ).
tcf(c_52400,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_52307,c_3094]) ).
tcf(c_52401,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_52307,c_2815]) ).
tcf(c_52402,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xp)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_52307,c_2811]) ).
tcf(c_52403,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xp)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_52307,c_2810]) ).
tcf(c_52404,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xm,xp))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52307,c_72]) ).
tcf(c_52405,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xp)))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52307,c_71]) ).
tcf(c_52406,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,sdtpldt0(xm,xp))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52307,c_105]) ).
tcf(c_52407,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xm,xp))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xm,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52307,c_75]) ).
tcf(c_52408,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),X0),sdtasdt0(xl,sdtpldt0(xm,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52307,c_153]) ).
tcf(c_52409,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xp)),X0),sdtasdt0(xl,sdtpldt0(xm,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52307,c_146]) ).
tcf(c_52410,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52307,c_106]) ).
tcf(c_52411,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xp)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_52307,c_2809]) ).
tcf(c_52412,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xp)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52307,c_76]) ).
tcf(c_52413,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xp))) = sz00,
inference(superposition,[status(thm)],[c_52307,c_92]) ).
tcf(c_52414,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sz00) = sz00,
inference(superposition,[status(thm)],[c_52307,c_91]) ).
tcf(c_52415,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xp))) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_52307,c_74]) ).
tcf(c_52416,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sz00) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_52307,c_73]) ).
tcf(c_52510,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ doDivides0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_52308,c_79]) ).
tcf(c_52511,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xp),sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sdtpldt0(xm,xp))) = sdtasdt0(xl,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_52308,c_96]) ).
tcf(c_52512,plain,
( ( sdtasdt0(sdtpldt0(xm,xp),sK1(sdtpldt0(xm,xp),sdtasdt0(xl,sdtpldt0(xm,xp)))) = sdtasdt0(xl,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_52308,c_82]) ).
tcf(c_52513,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52510,c_13190,c_52307]) ).
tcf(c_52517,plain,
sdtasdt0(sdtpldt0(xm,xp),sK1(sdtpldt0(xm,xp),sdtasdt0(xl,sdtpldt0(xm,xp)))) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_52512,c_13190,c_52307]) ).
tcf(c_52518,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xp),sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sdtpldt0(xm,xp))) = sdtasdt0(xl,sdtpldt0(xm,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52511,c_13190,c_52307]) ).
tcf(c_52550,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_52309,c_99]) ).
tcf(c_52551,plain,
( ( sdtpldt0(sdtpldt0(xm,xp),sdtmndt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sdtpldt0(xm,xp))) = sdtasdt0(xl,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_52309,c_104]) ).
tcf(c_52552,plain,
( ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_52309,c_100]) ).
tcf(c_52553,plain,
( ( sdtpldt0(sdtpldt0(xm,xp),sK0(sdtpldt0(xm,xp),sdtasdt0(xl,sdtpldt0(xm,xp)))) = sdtasdt0(xl,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_52309,c_66]) ).
tcf(c_52554,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52550,c_13190,c_52307]) ).
tcf(c_52558,plain,
sdtpldt0(sdtpldt0(xm,xp),sK0(sdtpldt0(xm,xp),sdtasdt0(xl,sdtpldt0(xm,xp)))) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_52553,c_13190,c_52307]) ).
tcf(c_52559,plain,
( ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sdtpldt0(xm,xp) )
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52552,c_13190,c_52307]) ).
tcf(c_52562,plain,
sdtpldt0(sdtpldt0(xm,xp),sdtmndt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sdtpldt0(xm,xp))) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_52551,c_13190,c_52307]) ).
tcf(c_52578,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xp))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_52413,c_87]) ).
tcf(c_52581,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_52413,c_90]) ).
tcf(c_52587,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xp))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_52413,c_87]) ).
tcf(c_52590,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52581,c_93,c_52307]) ).
tcf(c_52595,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xp))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52587,c_93,c_52307]) ).
tcf(c_52601,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xp))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52578,c_93,c_52307]) ).
tcf(c_52679,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_52414,c_85]) ).
tcf(c_52684,plain,
( doDivides0(sdtasdt0(xl,sdtpldt0(xm,xp)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_52414,c_140]) ).
tcf(c_52687,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_52414,c_89]) ).
tcf(c_52688,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_52414,c_85]) ).
tcf(c_52689,plain,
doDivides0(sdtasdt0(xl,sdtpldt0(xm,xp)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_52684,c_93,c_52307]) ).
tcf(c_52690,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52687,c_93,c_52307]) ).
tcf(c_52695,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52688,c_93,c_52307]) ).
tcf(c_52701,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52679,c_93,c_52307]) ).
tcf(c_52707,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp)))
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_52689,c_79]) ).
tcf(c_52708,plain,
( ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xp)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_52689,c_96]) ).
tcf(c_52709,plain,
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sK1(sdtasdt0(xl,sdtpldt0(xm,xp)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_52689,c_82]) ).
tcf(c_52710,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52707,c_93,c_52307]) ).
tcf(c_52714,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sK1(sdtasdt0(xl,sdtpldt0(xm,xp)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_52709,c_93,c_52307]) ).
tcf(c_52715,plain,
( ( sdtasdt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xp)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xp)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52708,c_93,c_52307]) ).
tcf(c_52718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xm,xq)))
| ( xl = sz00 )
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14865,c_87]) ).
tcf(c_52719,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sdtasdt0(xl,sdtpldt0(xm,xq)))
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14865,c_83]) ).
tcf(c_52720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xq),X0),sdtasdt0(xl,sdtpldt0(xm,xq)))
| ( X0 = xl )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14865,c_85]) ).
tcf(c_52721,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtasdt0(xl,sdtpldt0(xm,xq)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_14865,c_90]) ).
tcf(c_52724,plain,
( ( xl = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtasdt0(xl,sdtpldt0(xm,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14865,c_88]) ).
tcf(c_52725,plain,
( doDivides0(sdtpldt0(xm,xq),sdtasdt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14865,c_140]) ).
tcf(c_52726,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14865,c_107]) ).
tcf(c_52727,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_14865,c_87]) ).
tcf(c_52728,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtasdt0(sdtpldt0(xm,xq),X0) != sdtasdt0(xl,sdtpldt0(xm,xq)) ) ),
inference(superposition,[status(thm)],[c_14865,c_89]) ).
tcf(c_52729,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sdtasdt0(sdtpldt0(xm,xq),X0))
| ( X0 = xl )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_14865,c_85]) ).
tcf(c_52730,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_52726,c_49,c_13506]) ).
tcf(c_52731,plain,
doDivides0(sdtpldt0(xm,xq),sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_52725,c_49,c_13506]) ).
tcf(c_52732,plain,
sdtlseqdt0(sdtpldt0(xm,xq),sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_52719,c_54,c_49,c_13506]) ).
tcf(c_52733,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52724,c_54,c_49,c_13506]) ).
tcf(c_52736,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,sdtpldt0(xm,xq)) != sdtasdt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52721,c_54,c_49,c_13506]) ).
tcf(c_52740,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xq),X0) != sdtasdt0(xl,sdtpldt0(xm,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52728,c_49,c_13506]) ).
tcf(c_52745,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sdtasdt0(sdtpldt0(xm,xq),X0))
| ( X0 = xl )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52729,c_49,c_13506]) ).
tcf(c_52751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sdtasdt0(X0,xl))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52727,c_54,c_49,c_13506]) ).
tcf(c_52756,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xq),X0),sdtasdt0(xl,sdtpldt0(xm,xq)))
| ( X0 = xl )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52720,c_49,c_13506]) ).
tcf(c_52762,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52718,c_54,c_49,c_13506]) ).
tcf(c_52778,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xq)),xr) = sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_52730,c_4999]) ).
tcf(c_52779,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),xr) = sdtasdt0(xr,sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_52730,c_4997]) ).
tcf(c_52780,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xm,xq))),xr) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_52730,c_4996]) ).
tcf(c_52781,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xq)),xq) = sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_52730,c_4945]) ).
tcf(c_52782,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),xq) = sdtasdt0(xq,sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_52730,c_4943]) ).
tcf(c_52783,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xm,xq))),xq) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_52730,c_4942]) ).
tcf(c_52784,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xq)),xp) = sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_52730,c_4262]) ).
tcf(c_52785,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),xp) = sdtasdt0(xp,sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_52730,c_4260]) ).
tcf(c_52786,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xm,xq))),xp) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_52730,c_4259]) ).
tcf(c_52787,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xq))),xl) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_52730,c_4186]) ).
tcf(c_52788,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sdtmndt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sdtasdt0(xl,sdtpldt0(xm,xq)))) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_52730,c_4041]) ).
tcf(c_52789,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sK0(sdtasdt0(xl,sdtpldt0(xm,xq)),sdtasdt0(xl,sdtpldt0(xm,xq)))) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_52730,c_3458]) ).
tcf(c_52790,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xq))),sz00) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_52730,c_3195]) ).
tcf(c_52791,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xq))),xn) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_52730,c_3190]) ).
tcf(c_52792,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xq))),xm) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_52730,c_3189]) ).
tcf(c_52793,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xq))),xl) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_52730,c_3188]) ).
tcf(c_52794,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_52730,c_3101]) ).
tcf(c_52795,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_52730,c_3096]) ).
tcf(c_52796,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_52730,c_3095]) ).
tcf(c_52797,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_52730,c_3094]) ).
tcf(c_52798,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_52730,c_2815]) ).
tcf(c_52799,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xq)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_52730,c_2811]) ).
tcf(c_52800,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xq)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_52730,c_2810]) ).
tcf(c_52801,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xm,xq))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52730,c_72]) ).
tcf(c_52802,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xq)))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52730,c_71]) ).
tcf(c_52803,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,sdtpldt0(xm,xq))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52730,c_105]) ).
tcf(c_52804,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xm,xq))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xm,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52730,c_75]) ).
tcf(c_52805,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),X0),sdtasdt0(xl,sdtpldt0(xm,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52730,c_153]) ).
tcf(c_52806,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xq)),X0),sdtasdt0(xl,sdtpldt0(xm,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52730,c_146]) ).
tcf(c_52807,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52730,c_106]) ).
tcf(c_52808,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xq)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_52730,c_2809]) ).
tcf(c_52809,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xq)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52730,c_76]) ).
tcf(c_52810,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xq))) = sz00,
inference(superposition,[status(thm)],[c_52730,c_92]) ).
tcf(c_52811,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_52730,c_91]) ).
tcf(c_52812,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xq))) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_52730,c_74]) ).
tcf(c_52813,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sz00) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_52730,c_73]) ).
tcf(c_52946,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12777,c_68]) ).
tcf(c_52947,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12777,c_67]) ).
tcf(c_52948,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_12777,c_143]) ).
tcf(c_52949,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_12777,c_77]) ).
tcf(c_52950,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(superposition,[status(thm)],[c_12777,c_63]) ).
tcf(c_52951,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) != sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ) ),
inference(superposition,[status(thm)],[c_12777,c_69]) ).
tcf(c_52952,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_12777,c_61]) ).
tcf(c_52953,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_12777,c_78]) ).
tcf(c_52954,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_12777,c_70]) ).
tcf(c_52955,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_12777,c_61]) ).
tcf(c_52956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_12777,c_63]) ).
tcf(c_52957,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(forward_subsumption_resolution,[status(thm)],[c_52949,c_50,c_5245]) ).
tcf(c_52958,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(forward_subsumption_resolution,[status(thm)],[c_52948,c_50,c_5245]) ).
tcf(c_52962,plain,
sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_52947,c_5247,c_50,c_5245]) ).
tcf(c_52963,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52954,c_50,c_5245]) ).
tcf(c_52967,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52953,c_50,c_5245]) ).
tcf(c_52972,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) != sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52951,c_50,c_5245]) ).
tcf(c_52976,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52955,c_50,c_5245]) ).
tcf(c_52981,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52952,c_50,c_5245]) ).
tcf(c_52986,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52956,c_50,c_5245]) ).
tcf(c_52991,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52950,c_50,c_5245]) ).
tcf(c_53042,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ doDivides0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_52731,c_79]) ).
tcf(c_53043,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xq),sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sdtpldt0(xm,xq))) = sdtasdt0(xl,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_52731,c_96]) ).
tcf(c_53044,plain,
( ( sdtasdt0(sdtpldt0(xm,xq),sK1(sdtpldt0(xm,xq),sdtasdt0(xl,sdtpldt0(xm,xq)))) = sdtasdt0(xl,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_52731,c_82]) ).
tcf(c_53045,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53042,c_13506,c_52730]) ).
tcf(c_53049,plain,
sdtasdt0(sdtpldt0(xm,xq),sK1(sdtpldt0(xm,xq),sdtasdt0(xl,sdtpldt0(xm,xq)))) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_53044,c_13506,c_52730]) ).
tcf(c_53050,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xq),sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sdtpldt0(xm,xq))) = sdtasdt0(xl,sdtpldt0(xm,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53043,c_13506,c_52730]) ).
tcf(c_53054,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_52732,c_99]) ).
tcf(c_53055,plain,
( ( sdtpldt0(sdtpldt0(xm,xq),sdtmndt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sdtpldt0(xm,xq))) = sdtasdt0(xl,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_52732,c_104]) ).
tcf(c_53056,plain,
( ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_52732,c_100]) ).
tcf(c_53057,plain,
( ( sdtpldt0(sdtpldt0(xm,xq),sK0(sdtpldt0(xm,xq),sdtasdt0(xl,sdtpldt0(xm,xq)))) = sdtasdt0(xl,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_52732,c_66]) ).
tcf(c_53058,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53054,c_13506,c_52730]) ).
tcf(c_53062,plain,
sdtpldt0(sdtpldt0(xm,xq),sK0(sdtpldt0(xm,xq),sdtasdt0(xl,sdtpldt0(xm,xq)))) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_53057,c_13506,c_52730]) ).
tcf(c_53063,plain,
( ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sdtpldt0(xm,xq) )
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53056,c_13506,c_52730]) ).
tcf(c_53066,plain,
sdtpldt0(sdtpldt0(xm,xq),sdtmndt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sdtpldt0(xm,xq))) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_53055,c_13506,c_52730]) ).
tcf(c_53068,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xq))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_52810,c_87]) ).
tcf(c_53071,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_52810,c_90]) ).
tcf(c_53077,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xq))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_52810,c_87]) ).
tcf(c_53080,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53071,c_93,c_52730]) ).
tcf(c_53085,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xq))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53077,c_93,c_52730]) ).
tcf(c_53091,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xq))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53068,c_93,c_52730]) ).
tcf(c_53099,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_52811,c_85]) ).
tcf(c_53104,plain,
( doDivides0(sdtasdt0(xl,sdtpldt0(xm,xq)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_52811,c_140]) ).
tcf(c_53107,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_52811,c_89]) ).
tcf(c_53108,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_52811,c_85]) ).
tcf(c_53109,plain,
doDivides0(sdtasdt0(xl,sdtpldt0(xm,xq)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_53104,c_93,c_52730]) ).
tcf(c_53110,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53107,c_93,c_52730]) ).
tcf(c_53115,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53108,c_93,c_52730]) ).
tcf(c_53121,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53099,c_93,c_52730]) ).
tcf(c_53127,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq)))
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_53109,c_79]) ).
tcf(c_53128,plain,
( ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xq)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_53109,c_96]) ).
tcf(c_53129,plain,
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sK1(sdtasdt0(xl,sdtpldt0(xm,xq)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_53109,c_82]) ).
tcf(c_53130,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53127,c_93,c_52730]) ).
tcf(c_53134,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sK1(sdtasdt0(xl,sdtpldt0(xm,xq)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_53129,c_93,c_52730]) ).
tcf(c_53135,plain,
( ( sdtasdt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xq)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xq)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53128,c_93,c_52730]) ).
tcf(c_53138,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xr) = sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_52957,c_4999]) ).
tcf(c_53139,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xr) = sdtasdt0(xr,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_52957,c_4997]) ).
tcf(c_53140,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),xr) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_52957,c_4996]) ).
tcf(c_53141,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_52957,c_4945]) ).
tcf(c_53142,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_52957,c_4943]) ).
tcf(c_53143,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),xq) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_52957,c_4942]) ).
tcf(c_53144,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_52957,c_4262]) ).
tcf(c_53145,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_52957,c_4260]) ).
tcf(c_53146,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),xp) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_52957,c_4259]) ).
tcf(c_53147,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),xl) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_52957,c_4186]) ).
tcf(c_53148,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_52957,c_4041]) ).
tcf(c_53149,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sK0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_52957,c_3458]) ).
tcf(c_53150,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_52957,c_3195]) ).
tcf(c_53151,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),xn) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_52957,c_3190]) ).
tcf(c_53152,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_52957,c_3189]) ).
tcf(c_53153,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),xl) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_52957,c_3188]) ).
tcf(c_53154,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_52957,c_3101]) ).
tcf(c_53155,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_52957,c_3096]) ).
tcf(c_53156,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_52957,c_3095]) ).
tcf(c_53157,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_52957,c_3094]) ).
tcf(c_53158,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_52957,c_2815]) ).
tcf(c_53159,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_52957,c_2811]) ).
tcf(c_53160,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_52957,c_2810]) ).
tcf(c_53161,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52957,c_72]) ).
tcf(c_53162,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52957,c_71]) ).
tcf(c_53163,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52957,c_105]) ).
tcf(c_53164,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52957,c_75]) ).
tcf(c_53165,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52957,c_153]) ).
tcf(c_53166,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52957,c_146]) ).
tcf(c_53167,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52957,c_106]) ).
tcf(c_53168,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))),
inference(superposition,[status(thm)],[c_52957,c_2809]) ).
tcf(c_53169,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52957,c_76]) ).
tcf(c_53170,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_52957,c_92]) ).
tcf(c_53171,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_52957,c_91]) ).
tcf(c_53172,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_52957,c_74]) ).
tcf(c_53173,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_52957,c_73]) ).
tcf(c_53241,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtasdt0(xl,xm)))
| ( xl = sz00 )
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15087,c_87]) ).
tcf(c_53242,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xl,sdtasdt0(xl,xm)))
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15087,c_83]) ).
tcf(c_53243,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xm),X0),sdtasdt0(xl,sdtasdt0(xl,xm)))
| ( X0 = xl )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15087,c_85]) ).
tcf(c_53244,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_15087,c_90]) ).
tcf(c_53247,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15087,c_88]) ).
tcf(c_53248,plain,
( doDivides0(sdtasdt0(xl,xm),sdtasdt0(xl,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15087,c_140]) ).
tcf(c_53249,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15087,c_107]) ).
tcf(c_53250,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_15087,c_87]) ).
tcf(c_53251,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(sdtasdt0(xl,xm),X0) != sdtasdt0(xl,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_15087,c_89]) ).
tcf(c_53252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtasdt0(sdtasdt0(xl,xm),X0))
| ( X0 = xl )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15087,c_85]) ).
tcf(c_53253,plain,
aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_53249,c_49,c_15012]) ).
tcf(c_53254,plain,
doDivides0(sdtasdt0(xl,xm),sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_53248,c_49,c_15012]) ).
tcf(c_53255,plain,
sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_53242,c_54,c_49,c_15012]) ).
tcf(c_53256,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53247,c_54,c_49,c_15012]) ).
tcf(c_53259,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) != sdtasdt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53244,c_54,c_49,c_15012]) ).
tcf(c_53263,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,xm),X0) != sdtasdt0(xl,sdtasdt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53251,c_49,c_15012]) ).
tcf(c_53268,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtasdt0(sdtasdt0(xl,xm),X0))
| ( X0 = xl )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53252,c_49,c_15012]) ).
tcf(c_53274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtasdt0(X0,xl))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53250,c_54,c_49,c_15012]) ).
tcf(c_53279,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xm),X0),sdtasdt0(xl,sdtasdt0(xl,xm)))
| ( X0 = xl )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53243,c_49,c_15012]) ).
tcf(c_53285,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtasdt0(xl,xm)))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53241,c_54,c_49,c_15012]) ).
tcf(c_53334,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xr) = sdtpldt0(xr,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53253,c_4999]) ).
tcf(c_53335,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xr) = sdtasdt0(xr,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53253,c_4997]) ).
tcf(c_53336,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xl,sdtasdt0(xl,xm))),xr) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53253,c_4996]) ).
tcf(c_53337,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xq) = sdtpldt0(xq,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53253,c_4945]) ).
tcf(c_53338,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xq) = sdtasdt0(xq,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53253,c_4943]) ).
tcf(c_53339,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xl,sdtasdt0(xl,xm))),xq) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53253,c_4942]) ).
tcf(c_53340,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xp) = sdtpldt0(xp,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53253,c_4262]) ).
tcf(c_53341,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xp) = sdtasdt0(xp,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53253,c_4260]) ).
tcf(c_53342,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xl,sdtasdt0(xl,xm))),xp) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53253,c_4259]) ).
tcf(c_53343,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(xl,xm))),xl) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53253,c_4186]) ).
tcf(c_53344,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtmndt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtasdt0(xl,sdtasdt0(xl,xm)))) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53253,c_4041]) ).
tcf(c_53345,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sK0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtasdt0(xl,sdtasdt0(xl,xm)))) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53253,c_3458]) ).
tcf(c_53346,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm))),sz00) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53253,c_3195]) ).
tcf(c_53347,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(xl,xm))),xn) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53253,c_3190]) ).
tcf(c_53348,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(xl,xm))),xm) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53253,c_3189]) ).
tcf(c_53349,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(xl,xm))),xl) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53253,c_3188]) ).
tcf(c_53350,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53253,c_3101]) ).
tcf(c_53351,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53253,c_3096]) ).
tcf(c_53352,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53253,c_3095]) ).
tcf(c_53353,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53253,c_3094]) ).
tcf(c_53354,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53253,c_2815]) ).
tcf(c_53355,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53253,c_2811]) ).
tcf(c_53356,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53253,c_2810]) ).
tcf(c_53357,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xl,sdtasdt0(xl,xm))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53253,c_72]) ).
tcf(c_53358,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xm)))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtasdt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53253,c_71]) ).
tcf(c_53359,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,sdtasdt0(xl,xm))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xl,sdtasdt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53253,c_105]) ).
tcf(c_53360,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtasdt0(xl,xm))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtasdt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53253,c_75]) ).
tcf(c_53361,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0),sdtasdt0(xl,sdtasdt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53253,c_153]) ).
tcf(c_53362,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0),sdtasdt0(xl,sdtasdt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53253,c_146]) ).
tcf(c_53363,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53253,c_106]) ).
tcf(c_53364,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53253,c_2809]) ).
tcf(c_53365,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53253,c_76]) ).
tcf(c_53366,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_53253,c_92]) ).
tcf(c_53367,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_53253,c_91]) ).
tcf(c_53368,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm))) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53253,c_74]) ).
tcf(c_53369,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sz00) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53253,c_73]) ).
tcf(c_53456,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ doDivides0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53254,c_79]) ).
tcf(c_53457,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtasdt0(xl,xm))) = sdtasdt0(xl,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53254,c_96]) ).
tcf(c_53458,plain,
( ( sdtasdt0(sdtasdt0(xl,xm),sK1(sdtasdt0(xl,xm),sdtasdt0(xl,sdtasdt0(xl,xm)))) = sdtasdt0(xl,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53254,c_82]) ).
tcf(c_53459,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53456,c_15012,c_53253]) ).
tcf(c_53463,plain,
sdtasdt0(sdtasdt0(xl,xm),sK1(sdtasdt0(xl,xm),sdtasdt0(xl,sdtasdt0(xl,xm)))) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_53458,c_15012,c_53253]) ).
tcf(c_53464,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtasdt0(xl,xm))) = sdtasdt0(xl,sdtasdt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53457,c_15012,c_53253]) ).
tcf(c_53522,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53255,c_99]) ).
tcf(c_53523,plain,
( ( sdtpldt0(sdtasdt0(xl,xm),sdtmndt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtasdt0(xl,xm))) = sdtasdt0(xl,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53255,c_104]) ).
tcf(c_53524,plain,
( ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm)))
| ~ sdtlseqdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_53255,c_100]) ).
tcf(c_53525,plain,
( ( sdtpldt0(sdtasdt0(xl,xm),sK0(sdtasdt0(xl,xm),sdtasdt0(xl,sdtasdt0(xl,xm)))) = sdtasdt0(xl,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53255,c_66]) ).
tcf(c_53526,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53522,c_15012,c_53253]) ).
tcf(c_53530,plain,
sdtpldt0(sdtasdt0(xl,xm),sK0(sdtasdt0(xl,xm),sdtasdt0(xl,sdtasdt0(xl,xm)))) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_53525,c_15012,c_53253]) ).
tcf(c_53531,plain,
( ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sdtasdt0(xl,xm) )
| ~ sdtlseqdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53524,c_15012,c_53253]) ).
tcf(c_53534,plain,
sdtpldt0(sdtasdt0(xl,xm),sdtmndt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtasdt0(xl,xm))) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_53523,c_15012,c_53253]) ).
tcf(c_53536,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53366,c_87]) ).
tcf(c_53539,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_53366,c_90]) ).
tcf(c_53545,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xm))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53366,c_87]) ).
tcf(c_53548,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xm))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53539,c_93,c_53253]) ).
tcf(c_53553,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xm))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53545,c_93,c_53253]) ).
tcf(c_53559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53536,c_93,c_53253]) ).
tcf(c_53567,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53367,c_85]) ).
tcf(c_53572,plain,
( doDivides0(sdtasdt0(xl,sdtasdt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53367,c_140]) ).
tcf(c_53575,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_53367,c_89]) ).
tcf(c_53576,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53367,c_85]) ).
tcf(c_53577,plain,
doDivides0(sdtasdt0(xl,sdtasdt0(xl,xm)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_53572,c_93,c_53253]) ).
tcf(c_53578,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53575,c_93,c_53253]) ).
tcf(c_53583,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53576,c_93,c_53253]) ).
tcf(c_53589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53567,c_93,c_53253]) ).
tcf(c_53595,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm)))
| ~ doDivides0(X0,sdtasdt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53577,c_79]) ).
tcf(c_53596,plain,
( ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtsldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53577,c_96]) ).
tcf(c_53597,plain,
( ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sK1(sdtasdt0(xl,sdtasdt0(xl,xm)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53577,c_82]) ).
tcf(c_53598,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,sdtasdt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53595,c_93,c_53253]) ).
tcf(c_53602,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sK1(sdtasdt0(xl,sdtasdt0(xl,xm)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_53597,c_93,c_53253]) ).
tcf(c_53603,plain,
( ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtsldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53596,c_93,c_53253]) ).
tcf(c_53609,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15089,c_68]) ).
tcf(c_53610,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15089,c_67]) ).
tcf(c_53611,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(xn,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15089,c_143]) ).
tcf(c_53612,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15089,c_77]) ).
tcf(c_53613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sdtpldt0(X0,xn))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_15089,c_63]) ).
tcf(c_53614,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),X0) != sdtpldt0(xn,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_15089,c_69]) ).
tcf(c_53615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sdtpldt0(sdtasdt0(xl,xm),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15089,c_61]) ).
tcf(c_53616,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ doDivides0(X0,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15089,c_78]) ).
tcf(c_53617,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_15089,c_70]) ).
tcf(c_53618,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xm),X0),sdtpldt0(xn,sdtasdt0(xl,xm)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15089,c_61]) ).
tcf(c_53619,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtasdt0(xl,xm)))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15089,c_63]) ).
tcf(c_53620,plain,
aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_53612,c_51,c_15012]) ).
tcf(c_53621,plain,
sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_53611,c_51,c_15012]) ).
tcf(c_53622,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53609,c_51,c_15012]) ).
tcf(c_53625,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53610,c_51,c_15012]) ).
tcf(c_53628,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53617,c_51,c_15012]) ).
tcf(c_53632,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53616,c_51,c_15012]) ).
tcf(c_53637,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xl,xm),X0) != sdtpldt0(xn,sdtasdt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53614,c_51,c_15012]) ).
tcf(c_53641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xm),X0),sdtpldt0(xn,sdtasdt0(xl,xm)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53618,c_51,c_15012]) ).
tcf(c_53646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sdtpldt0(sdtasdt0(xl,xm),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53615,c_51,c_15012]) ).
tcf(c_53651,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtasdt0(xl,xm)))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53619,c_51,c_15012]) ).
tcf(c_53656,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sdtpldt0(X0,xn))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53613,c_51,c_15012]) ).
tcf(c_53707,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53620,c_4999]) ).
tcf(c_53708,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xr) = sdtasdt0(xr,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53620,c_4997]) ).
tcf(c_53709,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,sdtasdt0(xl,xm))),xr) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53620,c_4996]) ).
tcf(c_53710,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xq) = sdtpldt0(xq,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53620,c_4945]) ).
tcf(c_53711,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xq) = sdtasdt0(xq,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53620,c_4943]) ).
tcf(c_53712,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xn,sdtasdt0(xl,xm))),xq) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53620,c_4942]) ).
tcf(c_53713,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53620,c_4262]) ).
tcf(c_53714,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53620,c_4260]) ).
tcf(c_53715,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xn,sdtasdt0(xl,xm))),xp) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53620,c_4259]) ).
tcf(c_53716,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(xl,xm))),xl) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53620,c_4186]) ).
tcf(c_53717,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sdtpldt0(xn,sdtasdt0(xl,xm)))) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53620,c_4041]) ).
tcf(c_53718,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sK0(sdtpldt0(xn,sdtasdt0(xl,xm)),sdtpldt0(xn,sdtasdt0(xl,xm)))) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53620,c_3458]) ).
tcf(c_53719,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm))),sz00) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53620,c_3195]) ).
tcf(c_53720,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(xl,xm))),xn) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53620,c_3190]) ).
tcf(c_53721,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(xl,xm))),xm) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53620,c_3189]) ).
tcf(c_53722,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(xl,xm))),xl) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53620,c_3188]) ).
tcf(c_53723,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53620,c_3101]) ).
tcf(c_53724,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53620,c_3096]) ).
tcf(c_53725,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53620,c_3095]) ).
tcf(c_53726,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53620,c_3094]) ).
tcf(c_53727,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53620,c_2815]) ).
tcf(c_53728,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53620,c_2811]) ).
tcf(c_53729,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53620,c_2810]) ).
tcf(c_53730,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xn,sdtasdt0(xl,xm))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53620,c_72]) ).
tcf(c_53731,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xm)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtasdt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53620,c_71]) ).
tcf(c_53732,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xn,sdtasdt0(xl,xm))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,sdtasdt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53620,c_105]) ).
tcf(c_53733,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtasdt0(xl,xm))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtasdt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53620,c_75]) ).
tcf(c_53734,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0),sdtpldt0(xn,sdtasdt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53620,c_153]) ).
tcf(c_53735,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0),sdtpldt0(xn,sdtasdt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53620,c_146]) ).
tcf(c_53736,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53620,c_106]) ).
tcf(c_53737,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_53620,c_2809]) ).
tcf(c_53738,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53620,c_76]) ).
tcf(c_53739,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_53620,c_92]) ).
tcf(c_53740,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_53620,c_91]) ).
tcf(c_53741,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm))) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53620,c_74]) ).
tcf(c_53742,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sz00) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_53620,c_73]) ).
tcf(c_53892,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xn))),sz00)
| ( sdtpldt0(xm,xn) = sz00 )
| ( sdtpldt0(xm,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_13428,c_87]) ).
tcf(c_53893,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),sz00)
| ( sdtpldt0(xm,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_13428,c_83]) ).
tcf(c_53894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xn),X0),sz00)
| ( sdtpldt0(xm,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_13428,c_85]) ).
tcf(c_53895,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtpldt0(xm,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13428,c_90]) ).
tcf(c_53898,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_13428,c_88]) ).
tcf(c_53901,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xn))))
| ( sdtpldt0(xm,xn) = sz00 )
| ( sdtpldt0(xm,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_13428,c_87]) ).
tcf(c_53902,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(xm,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13428,c_89]) ).
tcf(c_53903,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xn),X0))
| ( sdtpldt0(xm,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xm,xn)),X0) ),
inference(superposition,[status(thm)],[c_13428,c_85]) ).
tcf(c_53904,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53898,c_12823]) ).
tcf(c_53909,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(xm,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53902,c_12823]) ).
tcf(c_53915,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xn),X0))
| ( sdtpldt0(xm,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xm,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53903,c_12823]) ).
tcf(c_53922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xn),X0),sz00)
| ( sdtpldt0(xm,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xn)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53894,c_12823]) ).
tcf(c_53929,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtpldt0(xm,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xn))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53895,c_12823]) ).
tcf(c_53936,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xn))))
| ( sdtpldt0(xm,xn) = sz00 )
| ( sdtpldt0(xm,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xn),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53901,c_12823]) ).
tcf(c_53944,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xn))),sz00)
| ( sdtpldt0(xm,xn) = sz00 )
| ( sdtpldt0(xm,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53892,c_12823]) ).
tcf(c_53956,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53621,c_99]) ).
tcf(c_53957,plain,
( ( sdtpldt0(sdtasdt0(xl,xm),sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sdtasdt0(xl,xm))) = sdtpldt0(xn,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53621,c_104]) ).
tcf(c_53958,plain,
( ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_53621,c_100]) ).
tcf(c_53959,plain,
( ( sdtpldt0(sdtasdt0(xl,xm),sK0(sdtasdt0(xl,xm),sdtpldt0(xn,sdtasdt0(xl,xm)))) = sdtpldt0(xn,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53621,c_66]) ).
tcf(c_53960,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53956,c_15012,c_53620]) ).
tcf(c_53964,plain,
sdtpldt0(sdtasdt0(xl,xm),sK0(sdtasdt0(xl,xm),sdtpldt0(xn,sdtasdt0(xl,xm)))) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_53959,c_15012,c_53620]) ).
tcf(c_53965,plain,
( ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sdtasdt0(xl,xm) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53958,c_15012,c_53620]) ).
tcf(c_53968,plain,
sdtpldt0(sdtasdt0(xl,xm),sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sdtasdt0(xl,xm))) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_53957,c_15012,c_53620]) ).
tcf(c_53970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53739,c_87]) ).
tcf(c_53973,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_53739,c_90]) ).
tcf(c_53979,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xm))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53739,c_87]) ).
tcf(c_53982,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xm))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53973,c_93,c_53620]) ).
tcf(c_53987,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xm))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53979,c_93,c_53620]) ).
tcf(c_53993,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53970,c_93,c_53620]) ).
tcf(c_54001,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53740,c_85]) ).
tcf(c_54006,plain,
( doDivides0(sdtpldt0(xn,sdtasdt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53740,c_140]) ).
tcf(c_54009,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_53740,c_89]) ).
tcf(c_54010,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_53740,c_85]) ).
tcf(c_54011,plain,
doDivides0(sdtpldt0(xn,sdtasdt0(xl,xm)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_54006,c_93,c_53620]) ).
tcf(c_54012,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54009,c_93,c_53620]) ).
tcf(c_54017,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54010,c_93,c_53620]) ).
tcf(c_54023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54001,c_93,c_53620]) ).
tcf(c_54029,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54011,c_79]) ).
tcf(c_54030,plain,
( ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54011,c_96]) ).
tcf(c_54031,plain,
( ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sK1(sdtpldt0(xn,sdtasdt0(xl,xm)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54011,c_82]) ).
tcf(c_54032,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sdtasdt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54029,c_93,c_53620]) ).
tcf(c_54036,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sK1(sdtpldt0(xn,sdtasdt0(xl,xm)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_54031,c_93,c_53620]) ).
tcf(c_54037,plain,
( ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54030,c_93,c_53620]) ).
tcf(c_54042,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15090,c_68]) ).
tcf(c_54043,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15090,c_67]) ).
tcf(c_54044,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(xm,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15090,c_143]) ).
tcf(c_54045,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15090,c_77]) ).
tcf(c_54046,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sdtpldt0(X0,xm))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_15090,c_63]) ).
tcf(c_54047,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),X0) != sdtpldt0(xm,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_15090,c_69]) ).
tcf(c_54048,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sdtpldt0(sdtasdt0(xl,xm),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15090,c_61]) ).
tcf(c_54049,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ doDivides0(X0,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15090,c_78]) ).
tcf(c_54050,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_15090,c_70]) ).
tcf(c_54051,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xm),X0),sdtpldt0(xm,sdtasdt0(xl,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15090,c_61]) ).
tcf(c_54052,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15090,c_63]) ).
tcf(c_54053,plain,
aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_54045,c_50,c_15012]) ).
tcf(c_54054,plain,
sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_54044,c_50,c_15012]) ).
tcf(c_54055,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54042,c_50,c_15012]) ).
tcf(c_54058,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54043,c_50,c_15012]) ).
tcf(c_54061,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54050,c_50,c_15012]) ).
tcf(c_54065,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54049,c_50,c_15012]) ).
tcf(c_54070,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xl,xm),X0) != sdtpldt0(xm,sdtasdt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54047,c_50,c_15012]) ).
tcf(c_54074,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xm),X0),sdtpldt0(xm,sdtasdt0(xl,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54051,c_50,c_15012]) ).
tcf(c_54079,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sdtpldt0(sdtasdt0(xl,xm),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54048,c_50,c_15012]) ).
tcf(c_54084,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54052,c_50,c_15012]) ).
tcf(c_54089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sdtpldt0(X0,xm))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54046,c_50,c_15012]) ).
tcf(c_54100,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xr) = sdtpldt0(xr,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54053,c_4999]) ).
tcf(c_54101,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xr) = sdtasdt0(xr,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54053,c_4997]) ).
tcf(c_54102,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,sdtasdt0(xl,xm))),xr) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54053,c_4996]) ).
tcf(c_54103,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54053,c_4945]) ).
tcf(c_54104,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54053,c_4943]) ).
tcf(c_54105,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xl,xm))),xq) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54053,c_4942]) ).
tcf(c_54106,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54053,c_4262]) ).
tcf(c_54107,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54053,c_4260]) ).
tcf(c_54108,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xl,xm))),xp) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54053,c_4259]) ).
tcf(c_54109,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(xl,xm))),xl) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54053,c_4186]) ).
tcf(c_54110,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sdtpldt0(xm,sdtasdt0(xl,xm)))) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54053,c_4041]) ).
tcf(c_54111,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sK0(sdtpldt0(xm,sdtasdt0(xl,xm)),sdtpldt0(xm,sdtasdt0(xl,xm)))) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54053,c_3458]) ).
tcf(c_54112,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm))),sz00) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54053,c_3195]) ).
tcf(c_54113,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(xl,xm))),xn) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54053,c_3190]) ).
tcf(c_54114,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xl,xm))),xm) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54053,c_3189]) ).
tcf(c_54115,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(xl,xm))),xl) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54053,c_3188]) ).
tcf(c_54116,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54053,c_3101]) ).
tcf(c_54117,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54053,c_3096]) ).
tcf(c_54118,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54053,c_3095]) ).
tcf(c_54119,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54053,c_3094]) ).
tcf(c_54120,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54053,c_2815]) ).
tcf(c_54121,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54053,c_2811]) ).
tcf(c_54122,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54053,c_2810]) ).
tcf(c_54123,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,sdtasdt0(xl,xm))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54053,c_72]) ).
tcf(c_54124,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xm)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtasdt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54053,c_71]) ).
tcf(c_54125,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,sdtasdt0(xl,xm))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,sdtasdt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54053,c_105]) ).
tcf(c_54126,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtasdt0(xl,xm))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtasdt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54053,c_75]) ).
tcf(c_54127,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0),sdtpldt0(xm,sdtasdt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54053,c_153]) ).
tcf(c_54128,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0),sdtpldt0(xm,sdtasdt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54053,c_146]) ).
tcf(c_54129,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54053,c_106]) ).
tcf(c_54130,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54053,c_2809]) ).
tcf(c_54131,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54053,c_76]) ).
tcf(c_54132,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_54053,c_92]) ).
tcf(c_54133,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_54053,c_91]) ).
tcf(c_54134,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm))) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54053,c_74]) ).
tcf(c_54135,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sz00) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54053,c_73]) ).
tcf(c_54207,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54054,c_99]) ).
tcf(c_54208,plain,
( ( sdtpldt0(sdtasdt0(xl,xm),sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sdtasdt0(xl,xm))) = sdtpldt0(xm,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54054,c_104]) ).
tcf(c_54209,plain,
( ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_54054,c_100]) ).
tcf(c_54210,plain,
( ( sdtpldt0(sdtasdt0(xl,xm),sK0(sdtasdt0(xl,xm),sdtpldt0(xm,sdtasdt0(xl,xm)))) = sdtpldt0(xm,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54054,c_66]) ).
tcf(c_54211,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54207,c_15012,c_54053]) ).
tcf(c_54215,plain,
sdtpldt0(sdtasdt0(xl,xm),sK0(sdtasdt0(xl,xm),sdtpldt0(xm,sdtasdt0(xl,xm)))) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_54210,c_15012,c_54053]) ).
tcf(c_54216,plain,
( ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sdtasdt0(xl,xm) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54209,c_15012,c_54053]) ).
tcf(c_54219,plain,
sdtpldt0(sdtasdt0(xl,xm),sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sdtasdt0(xl,xm))) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_54208,c_15012,c_54053]) ).
tcf(c_54221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54132,c_87]) ).
tcf(c_54224,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_54132,c_90]) ).
tcf(c_54230,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xm))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54132,c_87]) ).
tcf(c_54233,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xm))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54224,c_93,c_54053]) ).
tcf(c_54238,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xm))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54230,c_93,c_54053]) ).
tcf(c_54244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54221,c_93,c_54053]) ).
tcf(c_54271,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54133,c_85]) ).
tcf(c_54276,plain,
( doDivides0(sdtpldt0(xm,sdtasdt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54133,c_140]) ).
tcf(c_54279,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_54133,c_89]) ).
tcf(c_54280,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54133,c_85]) ).
tcf(c_54281,plain,
doDivides0(sdtpldt0(xm,sdtasdt0(xl,xm)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_54276,c_93,c_54053]) ).
tcf(c_54282,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54279,c_93,c_54053]) ).
tcf(c_54287,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54280,c_93,c_54053]) ).
tcf(c_54293,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54271,c_93,c_54053]) ).
tcf(c_54299,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm)))
| ~ doDivides0(X0,sdtpldt0(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54281,c_79]) ).
tcf(c_54300,plain,
( ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54281,c_96]) ).
tcf(c_54301,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sK1(sdtpldt0(xm,sdtasdt0(xl,xm)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54281,c_82]) ).
tcf(c_54302,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sdtasdt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54299,c_93,c_54053]) ).
tcf(c_54306,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sK1(sdtpldt0(xm,sdtasdt0(xl,xm)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_54301,c_93,c_54053]) ).
tcf(c_54307,plain,
( ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54300,c_93,c_54053]) ).
tcf(c_54312,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xl,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15098,c_68]) ).
tcf(c_54314,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15098,c_143]) ).
tcf(c_54315,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15098,c_77]) ).
tcf(c_54316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sdtpldt0(X0,xl))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_15098,c_63]) ).
tcf(c_54317,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),X0) != sdtpldt0(xl,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_15098,c_69]) ).
tcf(c_54318,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sdtpldt0(sdtasdt0(xl,xm),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15098,c_61]) ).
tcf(c_54319,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ doDivides0(X0,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15098,c_78]) ).
tcf(c_54320,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xl,sdtasdt0(xl,xm)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_15098,c_70]) ).
tcf(c_54321,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xm),X0),sdtpldt0(xl,sdtasdt0(xl,xm)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15098,c_61]) ).
tcf(c_54322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtasdt0(xl,xm)))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_15098,c_63]) ).
tcf(c_54323,plain,
aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_54315,c_49,c_15012]) ).
tcf(c_54324,plain,
sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_54314,c_49,c_15012]) ).
tcf(c_54325,plain,
sdtpldt0(xl,sdtasdt0(xl,xm)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_54312,c_54,c_49,c_15012]) ).
tcf(c_54326,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtasdt0(xl,xm)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54320,c_49,c_15012]) ).
tcf(c_54330,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54319,c_49,c_15012]) ).
tcf(c_54335,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xl,xm),X0) != sdtpldt0(xl,sdtasdt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54317,c_49,c_15012]) ).
tcf(c_54339,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xm),X0),sdtpldt0(xl,sdtasdt0(xl,xm)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54321,c_49,c_15012]) ).
tcf(c_54344,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sdtpldt0(sdtasdt0(xl,xm),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54318,c_49,c_15012]) ).
tcf(c_54349,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtasdt0(xl,xm)))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54322,c_49,c_15012]) ).
tcf(c_54354,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sdtpldt0(X0,xl))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54316,c_49,c_15012]) ).
tcf(c_54430,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xr) = sdtpldt0(xr,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54323,c_4999]) ).
tcf(c_54431,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xr) = sdtasdt0(xr,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54323,c_4997]) ).
tcf(c_54432,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,sdtasdt0(xl,xm))),xr) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54323,c_4996]) ).
tcf(c_54433,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54323,c_4945]) ).
tcf(c_54434,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54323,c_4943]) ).
tcf(c_54435,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,sdtasdt0(xl,xm))),xq) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54323,c_4942]) ).
tcf(c_54436,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54323,c_4262]) ).
tcf(c_54437,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54323,c_4260]) ).
tcf(c_54438,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,sdtasdt0(xl,xm))),xp) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54323,c_4259]) ).
tcf(c_54439,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(xl,xm))),xl) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54323,c_4186]) ).
tcf(c_54440,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sdtpldt0(xl,sdtasdt0(xl,xm)))) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54323,c_4041]) ).
tcf(c_54441,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sK0(sdtpldt0(xl,sdtasdt0(xl,xm)),sdtpldt0(xl,sdtasdt0(xl,xm)))) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54323,c_3458]) ).
tcf(c_54442,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm))),sz00) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54323,c_3195]) ).
tcf(c_54443,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(xl,xm))),xn) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54323,c_3190]) ).
tcf(c_54444,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xm))),xm) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54323,c_3189]) ).
tcf(c_54445,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xm))),xl) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54323,c_3188]) ).
tcf(c_54446,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54323,c_3101]) ).
tcf(c_54447,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54323,c_3096]) ).
tcf(c_54448,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54323,c_3095]) ).
tcf(c_54449,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54323,c_3094]) ).
tcf(c_54450,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54323,c_2815]) ).
tcf(c_54451,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54323,c_2811]) ).
tcf(c_54452,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54323,c_2810]) ).
tcf(c_54453,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,sdtasdt0(xl,xm))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54323,c_72]) ).
tcf(c_54454,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xm)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtasdt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54323,c_71]) ).
tcf(c_54455,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,sdtasdt0(xl,xm))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,sdtasdt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54323,c_105]) ).
tcf(c_54456,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtasdt0(xl,xm))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtasdt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54323,c_75]) ).
tcf(c_54457,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0),sdtpldt0(xl,sdtasdt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54323,c_153]) ).
tcf(c_54458,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0),sdtpldt0(xl,sdtasdt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54323,c_146]) ).
tcf(c_54459,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54323,c_106]) ).
tcf(c_54460,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_54323,c_2809]) ).
tcf(c_54461,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54323,c_76]) ).
tcf(c_54462,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_54323,c_92]) ).
tcf(c_54463,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_54323,c_91]) ).
tcf(c_54464,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm))) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54323,c_74]) ).
tcf(c_54465,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sz00) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_54323,c_73]) ).
tcf(c_54550,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54324,c_99]) ).
tcf(c_54551,plain,
( ( sdtpldt0(sdtasdt0(xl,xm),sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sdtasdt0(xl,xm))) = sdtpldt0(xl,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54324,c_104]) ).
tcf(c_54552,plain,
( ( sdtpldt0(xl,sdtasdt0(xl,xm)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_54324,c_100]) ).
tcf(c_54553,plain,
( ( sdtpldt0(sdtasdt0(xl,xm),sK0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtasdt0(xl,xm)))) = sdtpldt0(xl,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54324,c_66]) ).
tcf(c_54554,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54550,c_15012,c_54323]) ).
tcf(c_54558,plain,
sdtpldt0(sdtasdt0(xl,xm),sK0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtasdt0(xl,xm)))) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_54553,c_15012,c_54323]) ).
tcf(c_54559,plain,
( ( sdtpldt0(xl,sdtasdt0(xl,xm)) = sdtasdt0(xl,xm) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54552,c_15012,c_54323]) ).
tcf(c_54562,plain,
sdtpldt0(sdtasdt0(xl,xm),sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sdtasdt0(xl,xm))) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_54551,c_15012,c_54323]) ).
tcf(c_54564,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54462,c_87]) ).
tcf(c_54567,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_54462,c_90]) ).
tcf(c_54573,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xm))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54462,c_87]) ).
tcf(c_54576,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xm))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54567,c_54325,c_93,c_54323]) ).
tcf(c_54580,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54573,c_54325,c_93,c_54323]) ).
tcf(c_54585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54564,c_54325,c_93,c_54323]) ).
tcf(c_54656,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54463,c_85]) ).
tcf(c_54661,plain,
( doDivides0(sdtpldt0(xl,sdtasdt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54463,c_140]) ).
tcf(c_54664,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_54463,c_89]) ).
tcf(c_54665,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54463,c_85]) ).
tcf(c_54666,plain,
doDivides0(sdtpldt0(xl,sdtasdt0(xl,xm)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_54661,c_93,c_54323]) ).
tcf(c_54667,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54664,c_54325,c_93,c_54323]) ).
tcf(c_54671,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54665,c_54325,c_93,c_54323]) ).
tcf(c_54676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54656,c_54325,c_93,c_54323]) ).
tcf(c_54725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xr))),sz00)
| ( sdtpldt0(xm,xr) = sz00 )
| ( sdtpldt0(xm,xr) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_13717,c_87]) ).
tcf(c_54726,plain,
( sdtlseqdt0(sdtpldt0(xm,xr),sz00)
| ( sdtpldt0(xm,xr) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_13717,c_83]) ).
tcf(c_54727,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xr),X0),sz00)
| ( sdtpldt0(xm,xr) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xr)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_13717,c_85]) ).
tcf(c_54728,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtpldt0(xm,xr) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xr)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13717,c_90]) ).
tcf(c_54731,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_13717,c_88]) ).
tcf(c_54734,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xr))))
| ( sdtpldt0(xm,xr) = sz00 )
| ( sdtpldt0(xm,xr) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xr))) ),
inference(superposition,[status(thm)],[c_13717,c_87]) ).
tcf(c_54735,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xr)))
| ( sdtasdt0(sdtpldt0(xm,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13717,c_89]) ).
tcf(c_54736,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xr),X0))
| ( sdtpldt0(xm,xr) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xr)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xm,xr)),X0) ),
inference(superposition,[status(thm)],[c_13717,c_85]) ).
tcf(c_54737,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54731,c_12990]) ).
tcf(c_54742,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xr)))
| ( sdtasdt0(sdtpldt0(xm,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54735,c_12990]) ).
tcf(c_54748,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xr),X0))
| ( sdtpldt0(xm,xr) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xr)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xm,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54736,c_12990]) ).
tcf(c_54755,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xr),X0),sz00)
| ( sdtpldt0(xm,xr) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xr)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54727,c_12990]) ).
tcf(c_54762,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtpldt0(xm,xr) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xr)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54728,c_12990]) ).
tcf(c_54769,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xr))))
| ( sdtpldt0(xm,xr) = sz00 )
| ( sdtpldt0(xm,xr) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54734,c_12990]) ).
tcf(c_54777,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xr))),sz00)
| ( sdtpldt0(xm,xr) = sz00 )
| ( sdtpldt0(xm,xr) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54725,c_12990]) ).
tcf(c_54789,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54666,c_79]) ).
tcf(c_54790,plain,
( ( sdtpldt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54666,c_96]) ).
tcf(c_54791,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sK1(sdtpldt0(xl,sdtasdt0(xl,xm)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_54666,c_82]) ).
tcf(c_54792,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,sdtasdt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54789,c_93,c_54323]) ).
tcf(c_54796,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sK1(sdtpldt0(xl,sdtasdt0(xl,xm)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_54791,c_93,c_54323]) ).
tcf(c_54797,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_54790,c_54325,c_93,c_54323]) ).
tcf(c_54804,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15536,c_99]) ).
tcf(c_54805,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xn,xr),X0)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15536,c_104]) ).
tcf(c_54806,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_15536,c_100]) ).
tcf(c_54807,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15536,c_66]) ).
tcf(c_54808,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54807,c_15397]) ).
tcf(c_54812,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54806,c_15397]) ).
tcf(c_54817,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xn,xr),X0)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54805,c_15397]) ).
tcf(c_54821,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54804,c_15397]) ).
tcf(c_54829,plain,
( ( sK0(xn,sdtpldt0(xp,xn)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn)))
| ( sdtpldt0(xp,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_15717,c_68]) ).
tcf(c_54830,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn)))
| ( sdtpldt0(xp,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_15717,c_67]) ).
tcf(c_54833,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(X0,sK0(xn,sdtpldt0(xp,xn))))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_15717,c_63]) ).
tcf(c_54834,plain,
! [X0: $i] :
( ( sK0(xn,sdtpldt0(xp,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn)))
| ( sdtpldt0(xn,X0) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_15717,c_69]) ).
tcf(c_54835,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(xn,X0))
| ( sK0(xn,sdtpldt0(xp,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn)))
| ~ sdtlseqdt0(sK0(xn,sdtpldt0(xp,xn)),X0) ),
inference(superposition,[status(thm)],[c_15717,c_61]) ).
tcf(c_54836,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn)))
| ~ doDivides0(X0,sK0(xn,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_15717,c_78]) ).
tcf(c_54837,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn)))
| ( sdtpldt0(X0,sK0(xn,sdtpldt0(xp,xn))) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_15717,c_70]) ).
tcf(c_54838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xp,xn))
| ( sK0(xn,sdtpldt0(xp,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn)))
| ~ sdtlseqdt0(X0,sK0(xn,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_15717,c_61]) ).
tcf(c_54839,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtpldt0(xp,xn))),sdtpldt0(xp,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_15717,c_63]) ).
tcf(c_54840,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn)))
| ( sdtpldt0(xp,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54830,c_51]) ).
tcf(c_54844,plain,
( ( sK0(xn,sdtpldt0(xp,xn)) = sz00 )
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn)))
| ( sdtpldt0(xp,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54829,c_51]) ).
tcf(c_54848,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn)))
| ( sdtpldt0(X0,sK0(xn,sdtpldt0(xp,xn))) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54837,c_51]) ).
tcf(c_54853,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn)))
| ~ doDivides0(X0,sK0(xn,sdtpldt0(xp,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54836,c_51]) ).
tcf(c_54859,plain,
! [X0: $i] :
( ( sK0(xn,sdtpldt0(xp,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn)))
| ( sdtpldt0(xn,X0) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54834,c_51]) ).
tcf(c_54864,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtpldt0(xp,xn))),sdtpldt0(xp,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54839,c_51]) ).
tcf(c_54870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(X0,sK0(xn,sdtpldt0(xp,xn))))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54833,c_51]) ).
tcf(c_54876,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xp,xn))
| ( sK0(xn,sdtpldt0(xp,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn)))
| ~ sdtlseqdt0(X0,sK0(xn,sdtpldt0(xp,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54838,c_51]) ).
tcf(c_54882,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(xn,X0))
| ( sK0(xn,sdtpldt0(xp,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xp,xn)))
| ~ sdtlseqdt0(sK0(xn,sdtpldt0(xp,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54835,c_51]) ).
tcf(c_54902,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xn,xr)))
| ( xl = sz00 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15444,c_87]) ).
tcf(c_54903,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(xl,sdtpldt0(xn,xr)))
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15444,c_83]) ).
tcf(c_54904,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtasdt0(xl,sdtpldt0(xn,xr)))
| ( X0 = xl )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15444,c_85]) ).
tcf(c_54905,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(xl,sdtpldt0(xn,xr)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_15444,c_90]) ).
tcf(c_54908,plain,
( ( xl = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(xl,sdtpldt0(xn,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15444,c_88]) ).
tcf(c_54909,plain,
( doDivides0(sdtpldt0(xn,xr),sdtasdt0(xl,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15444,c_140]) ).
tcf(c_54910,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15444,c_107]) ).
tcf(c_54911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_15444,c_87]) ).
tcf(c_54912,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sdtasdt0(xl,sdtpldt0(xn,xr)) ) ),
inference(superposition,[status(thm)],[c_15444,c_89]) ).
tcf(c_54913,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sdtasdt0(sdtpldt0(xn,xr),X0))
| ( X0 = xl )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15444,c_85]) ).
tcf(c_54914,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_54910,c_49,c_15397]) ).
tcf(c_54915,plain,
doDivides0(sdtpldt0(xn,xr),sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_54909,c_49,c_15397]) ).
tcf(c_54916,plain,
sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_54903,c_54,c_49,c_15397]) ).
tcf(c_54917,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54908,c_54,c_49,c_15397]) ).
tcf(c_54920,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,sdtpldt0(xn,xr)) != sdtasdt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54905,c_54,c_49,c_15397]) ).
tcf(c_54924,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sdtasdt0(xl,sdtpldt0(xn,xr)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54912,c_49,c_15397]) ).
tcf(c_54929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sdtasdt0(sdtpldt0(xn,xr),X0))
| ( X0 = xl )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54913,c_49,c_15397]) ).
tcf(c_54935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sdtasdt0(X0,xl))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54911,c_54,c_49,c_15397]) ).
tcf(c_54940,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtasdt0(xl,sdtpldt0(xn,xr)))
| ( X0 = xl )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54904,c_49,c_15397]) ).
tcf(c_54946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54902,c_54,c_49,c_15397]) ).
tcf(c_55011,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xn,xr)),xr) = sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_54914,c_4999]) ).
tcf(c_55012,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),xr) = sdtasdt0(xr,sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_54914,c_4997]) ).
tcf(c_55013,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xn,xr))),xr) = sdtasdt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_54914,c_4996]) ).
tcf(c_55014,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xn,xr)),xq) = sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_54914,c_4945]) ).
tcf(c_55015,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),xq) = sdtasdt0(xq,sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_54914,c_4943]) ).
tcf(c_55016,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xn,xr))),xq) = sdtasdt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_54914,c_4942]) ).
tcf(c_55017,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xn,xr)),xp) = sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_54914,c_4262]) ).
tcf(c_55018,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),xp) = sdtasdt0(xp,sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_54914,c_4260]) ).
tcf(c_55019,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xn,xr))),xp) = sdtasdt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_54914,c_4259]) ).
tcf(c_55020,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xn,xr))),xl) = sdtasdt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_54914,c_4186]) ).
tcf(c_55021,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sdtmndt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sdtasdt0(xl,sdtpldt0(xn,xr)))) = sdtasdt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_54914,c_4041]) ).
tcf(c_55022,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sK0(sdtasdt0(xl,sdtpldt0(xn,xr)),sdtasdt0(xl,sdtpldt0(xn,xr)))) = sdtasdt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_54914,c_3458]) ).
tcf(c_55023,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xn,xr))),sz00) = sdtasdt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_54914,c_3195]) ).
tcf(c_55024,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xn,xr))),xn) = sdtasdt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_54914,c_3190]) ).
tcf(c_55025,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xn,xr))),xm) = sdtasdt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_54914,c_3189]) ).
tcf(c_55026,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xn,xr))),xl) = sdtasdt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_54914,c_3188]) ).
tcf(c_55027,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_54914,c_3101]) ).
tcf(c_55028,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_54914,c_3096]) ).
tcf(c_55029,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_54914,c_3095]) ).
tcf(c_55030,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_54914,c_3094]) ).
tcf(c_55031,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_54914,c_2815]) ).
tcf(c_55032,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xn,xr)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_54914,c_2811]) ).
tcf(c_55033,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xn,xr)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_54914,c_2810]) ).
tcf(c_55034,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xn,xr))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54914,c_72]) ).
tcf(c_55035,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,xr)))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xn,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54914,c_71]) ).
tcf(c_55036,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,sdtpldt0(xn,xr))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xn,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54914,c_105]) ).
tcf(c_55037,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xn,xr))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xn,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54914,c_75]) ).
tcf(c_55038,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),X0),sdtasdt0(xl,sdtpldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54914,c_153]) ).
tcf(c_55039,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xn,xr)),X0),sdtasdt0(xl,sdtpldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54914,c_146]) ).
tcf(c_55040,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54914,c_106]) ).
tcf(c_55041,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xn,xr)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_54914,c_2809]) ).
tcf(c_55042,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xn,xr)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xn,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54914,c_76]) ).
tcf(c_55043,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,xr))) = sz00,
inference(superposition,[status(thm)],[c_54914,c_92]) ).
tcf(c_55044,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sz00) = sz00,
inference(superposition,[status(thm)],[c_54914,c_91]) ).
tcf(c_55045,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xn,xr))) = sdtasdt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_54914,c_74]) ).
tcf(c_55046,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sz00) = sdtasdt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_54914,c_73]) ).
tcf(c_55187,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_54915,c_79]) ).
tcf(c_55188,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xr),sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))) = sdtasdt0(xl,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_54915,c_96]) ).
tcf(c_55189,plain,
( ( sdtasdt0(sdtpldt0(xn,xr),sK1(sdtpldt0(xn,xr),sdtasdt0(xl,sdtpldt0(xn,xr)))) = sdtasdt0(xl,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_54915,c_82]) ).
tcf(c_55190,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55187,c_15397,c_54914]) ).
tcf(c_55194,plain,
sdtasdt0(sdtpldt0(xn,xr),sK1(sdtpldt0(xn,xr),sdtasdt0(xl,sdtpldt0(xn,xr)))) = sdtasdt0(xl,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_55189,c_15397,c_54914]) ).
tcf(c_55195,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xr),sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))) = sdtasdt0(xl,sdtpldt0(xn,xr)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55188,c_15397,c_54914]) ).
tcf(c_55199,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_54916,c_99]) ).
tcf(c_55200,plain,
( ( sdtpldt0(sdtpldt0(xn,xr),sdtmndt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))) = sdtasdt0(xl,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_54916,c_104]) ).
tcf(c_55201,plain,
( ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr)))
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_54916,c_100]) ).
tcf(c_55202,plain,
( ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtasdt0(xl,sdtpldt0(xn,xr)))) = sdtasdt0(xl,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_54916,c_66]) ).
tcf(c_55203,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55199,c_15397,c_54914]) ).
tcf(c_55207,plain,
sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtasdt0(xl,sdtpldt0(xn,xr)))) = sdtasdt0(xl,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_55202,c_15397,c_54914]) ).
tcf(c_55208,plain,
( ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr) )
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55201,c_15397,c_54914]) ).
tcf(c_55211,plain,
sdtpldt0(sdtpldt0(xn,xr),sdtmndt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))) = sdtasdt0(xl,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_55200,c_15397,c_54914]) ).
tcf(c_55213,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,xr))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55043,c_87]) ).
tcf(c_55216,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_55043,c_90]) ).
tcf(c_55222,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,xr))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55043,c_87]) ).
tcf(c_55225,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55216,c_93,c_54914]) ).
tcf(c_55230,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,xr))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55222,c_93,c_54914]) ).
tcf(c_55236,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,xr))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55213,c_93,c_54914]) ).
tcf(c_55244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55044,c_85]) ).
tcf(c_55249,plain,
( doDivides0(sdtasdt0(xl,sdtpldt0(xn,xr)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55044,c_140]) ).
tcf(c_55252,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_55044,c_89]) ).
tcf(c_55253,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55044,c_85]) ).
tcf(c_55254,plain,
doDivides0(sdtasdt0(xl,sdtpldt0(xn,xr)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_55249,c_93,c_54914]) ).
tcf(c_55255,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55252,c_93,c_54914]) ).
tcf(c_55260,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55253,c_93,c_54914]) ).
tcf(c_55266,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55244,c_93,c_54914]) ).
tcf(c_55272,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr)))
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55254,c_79]) ).
tcf(c_55273,plain,
( ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xn,xr)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55254,c_96]) ).
tcf(c_55274,plain,
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sK1(sdtasdt0(xl,sdtpldt0(xn,xr)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55254,c_82]) ).
tcf(c_55275,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55272,c_93,c_54914]) ).
tcf(c_55279,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sK1(sdtasdt0(xl,sdtpldt0(xn,xr)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_55274,c_93,c_54914]) ).
tcf(c_55280,plain,
( ( sdtasdt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xr)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xn,xr)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55273,c_93,c_54914]) ).
tcf(c_55326,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15446,c_68]) ).
tcf(c_55327,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15446,c_67]) ).
tcf(c_55328,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15446,c_143]) ).
tcf(c_55329,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15446,c_77]) ).
tcf(c_55330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(X0,xn))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_15446,c_63]) ).
tcf(c_55331,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,sdtpldt0(xn,xr)) ) ),
inference(superposition,[status(thm)],[c_15446,c_69]) ).
tcf(c_55332,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xr),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15446,c_61]) ).
tcf(c_55333,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15446,c_78]) ).
tcf(c_55334,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_15446,c_70]) ).
tcf(c_55335,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15446,c_61]) ).
tcf(c_55336,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15446,c_63]) ).
tcf(c_55337,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_55329,c_51,c_15397]) ).
tcf(c_55338,plain,
sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_55328,c_51,c_15397]) ).
tcf(c_55339,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55326,c_51,c_15397]) ).
tcf(c_55342,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55327,c_51,c_15397]) ).
tcf(c_55345,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55334,c_51,c_15397]) ).
tcf(c_55349,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55333,c_51,c_15397]) ).
tcf(c_55354,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,sdtpldt0(xn,xr)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55331,c_51,c_15397]) ).
tcf(c_55358,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55335,c_51,c_15397]) ).
tcf(c_55363,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xr),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55332,c_51,c_15397]) ).
tcf(c_55368,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55336,c_51,c_15397]) ).
tcf(c_55373,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(X0,xn))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55330,c_51,c_15397]) ).
tcf(c_55384,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55337,c_4999]) ).
tcf(c_55385,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xr) = sdtasdt0(xr,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55337,c_4997]) ).
tcf(c_55386,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xn,xr))),xr) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55337,c_4996]) ).
tcf(c_55387,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xq) = sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55337,c_4945]) ).
tcf(c_55388,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xq) = sdtasdt0(xq,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55337,c_4943]) ).
tcf(c_55389,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xn,xr))),xq) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55337,c_4942]) ).
tcf(c_55390,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55337,c_4262]) ).
tcf(c_55391,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55337,c_4260]) ).
tcf(c_55392,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xn,xr))),xp) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55337,c_4259]) ).
tcf(c_55393,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xn,xr))),xl) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55337,c_4186]) ).
tcf(c_55394,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(xn,sdtpldt0(xn,xr)))) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55337,c_4041]) ).
tcf(c_55395,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sK0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(xn,sdtpldt0(xn,xr)))) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55337,c_3458]) ).
tcf(c_55396,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr))),sz00) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55337,c_3195]) ).
tcf(c_55397,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xr))),xn) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55337,c_3190]) ).
tcf(c_55398,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xn,xr))),xm) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55337,c_3189]) ).
tcf(c_55399,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xn,xr))),xl) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55337,c_3188]) ).
tcf(c_55400,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55337,c_3101]) ).
tcf(c_55401,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55337,c_3096]) ).
tcf(c_55402,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55337,c_3095]) ).
tcf(c_55403,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55337,c_3094]) ).
tcf(c_55404,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55337,c_2815]) ).
tcf(c_55405,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55337,c_2811]) ).
tcf(c_55406,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55337,c_2810]) ).
tcf(c_55407,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xn,xr))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55337,c_72]) ).
tcf(c_55408,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xn,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55337,c_71]) ).
tcf(c_55409,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xn,sdtpldt0(xn,xr))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xn,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55337,c_105]) ).
tcf(c_55410,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xn,xr))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xn,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55337,c_75]) ).
tcf(c_55411,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0),sdtpldt0(xn,sdtpldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55337,c_153]) ).
tcf(c_55412,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0),sdtpldt0(xn,sdtpldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55337,c_146]) ).
tcf(c_55413,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55337,c_106]) ).
tcf(c_55414,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55337,c_2809]) ).
tcf(c_55415,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55337,c_76]) ).
tcf(c_55416,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr))) = sz00,
inference(superposition,[status(thm)],[c_55337,c_92]) ).
tcf(c_55417,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sz00) = sz00,
inference(superposition,[status(thm)],[c_55337,c_91]) ).
tcf(c_55418,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr))) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55337,c_74]) ).
tcf(c_55419,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sz00) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55337,c_73]) ).
tcf(c_55649,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55338,c_99]) ).
tcf(c_55650,plain,
( ( sdtpldt0(sdtpldt0(xn,xr),sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))) = sdtpldt0(xn,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55338,c_104]) ).
tcf(c_55651,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_55338,c_100]) ).
tcf(c_55652,plain,
( ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xr)))) = sdtpldt0(xn,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55338,c_66]) ).
tcf(c_55653,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55649,c_15397,c_55337]) ).
tcf(c_55657,plain,
sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xr)))) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_55652,c_15397,c_55337]) ).
tcf(c_55658,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55651,c_15397,c_55337]) ).
tcf(c_55661,plain,
sdtpldt0(sdtpldt0(xn,xr),sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_55650,c_15397,c_55337]) ).
tcf(c_55663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55416,c_87]) ).
tcf(c_55666,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_55416,c_90]) ).
tcf(c_55672,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55416,c_87]) ).
tcf(c_55675,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55666,c_93,c_55337]) ).
tcf(c_55680,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55672,c_93,c_55337]) ).
tcf(c_55686,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55663,c_93,c_55337]) ).
tcf(c_55696,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xp))),sz00)
| ( sdtpldt0(xm,xp) = sz00 )
| ( sdtpldt0(xm,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_13795,c_87]) ).
tcf(c_55697,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sz00)
| ( sdtpldt0(xm,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_13795,c_83]) ).
tcf(c_55698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xp),X0),sz00)
| ( sdtpldt0(xm,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_13795,c_85]) ).
tcf(c_55699,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtpldt0(xm,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xp)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13795,c_90]) ).
tcf(c_55702,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_13795,c_88]) ).
tcf(c_55705,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xp))))
| ( sdtpldt0(xm,xp) = sz00 )
| ( sdtpldt0(xm,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_13795,c_87]) ).
tcf(c_55706,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xp)))
| ( sdtasdt0(sdtpldt0(xm,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13795,c_89]) ).
tcf(c_55707,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xp),X0))
| ( sdtpldt0(xm,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xm,xp)),X0) ),
inference(superposition,[status(thm)],[c_13795,c_85]) ).
tcf(c_55708,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55702,c_13190]) ).
tcf(c_55713,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xp)))
| ( sdtasdt0(sdtpldt0(xm,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55706,c_13190]) ).
tcf(c_55719,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xp),X0))
| ( sdtpldt0(xm,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xm,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55707,c_13190]) ).
tcf(c_55726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xp),X0),sz00)
| ( sdtpldt0(xm,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55698,c_13190]) ).
tcf(c_55733,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtpldt0(xm,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xp)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55699,c_13190]) ).
tcf(c_55740,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xp))))
| ( sdtpldt0(xm,xp) = sz00 )
| ( sdtpldt0(xm,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55705,c_13190]) ).
tcf(c_55748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xp))),sz00)
| ( sdtpldt0(xm,xp) = sz00 )
| ( sdtpldt0(xm,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55696,c_13190]) ).
tcf(c_55762,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55417,c_85]) ).
tcf(c_55767,plain,
( doDivides0(sdtpldt0(xn,sdtpldt0(xn,xr)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55417,c_140]) ).
tcf(c_55770,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_55417,c_89]) ).
tcf(c_55771,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55417,c_85]) ).
tcf(c_55772,plain,
doDivides0(sdtpldt0(xn,sdtpldt0(xn,xr)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_55767,c_93,c_55337]) ).
tcf(c_55773,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55770,c_93,c_55337]) ).
tcf(c_55778,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55771,c_93,c_55337]) ).
tcf(c_55784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55762,c_93,c_55337]) ).
tcf(c_55790,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55772,c_79]) ).
tcf(c_55791,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55772,c_96]) ).
tcf(c_55792,plain,
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sK1(sdtpldt0(xn,sdtpldt0(xn,xr)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55772,c_82]) ).
tcf(c_55793,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55790,c_93,c_55337]) ).
tcf(c_55797,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sK1(sdtpldt0(xn,sdtpldt0(xn,xr)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_55792,c_93,c_55337]) ).
tcf(c_55798,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55791,c_93,c_55337]) ).
tcf(c_55808,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15722,c_99]) ).
tcf(c_55809,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xp,xn),X0)) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15722,c_104]) ).
tcf(c_55810,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_15722,c_100]) ).
tcf(c_55811,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15722,c_66]) ).
tcf(c_55812,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55811,c_15554]) ).
tcf(c_55816,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55810,c_15554]) ).
tcf(c_55821,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(xp,xn),X0)) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55809,c_15554]) ).
tcf(c_55825,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55808,c_15554]) ).
tcf(c_55833,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15447,c_68]) ).
tcf(c_55834,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15447,c_67]) ).
tcf(c_55835,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xm,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15447,c_143]) ).
tcf(c_55836,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15447,c_77]) ).
tcf(c_55837,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sdtpldt0(X0,xm))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_15447,c_63]) ).
tcf(c_55838,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xm,sdtpldt0(xn,xr)) ) ),
inference(superposition,[status(thm)],[c_15447,c_69]) ).
tcf(c_55839,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xr),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15447,c_61]) ).
tcf(c_55840,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15447,c_78]) ).
tcf(c_55841,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_15447,c_70]) ).
tcf(c_55842,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xm,sdtpldt0(xn,xr)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15447,c_61]) ).
tcf(c_55843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15447,c_63]) ).
tcf(c_55844,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_55836,c_50,c_15397]) ).
tcf(c_55845,plain,
sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xm,sdtpldt0(xn,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_55835,c_50,c_15397]) ).
tcf(c_55846,plain,
( ( xm = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55833,c_50,c_15397]) ).
tcf(c_55849,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55834,c_50,c_15397]) ).
tcf(c_55852,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55841,c_50,c_15397]) ).
tcf(c_55856,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55840,c_50,c_15397]) ).
tcf(c_55861,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xm,sdtpldt0(xn,xr)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55838,c_50,c_15397]) ).
tcf(c_55865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xm,sdtpldt0(xn,xr)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55842,c_50,c_15397]) ).
tcf(c_55870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xr),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55839,c_50,c_15397]) ).
tcf(c_55875,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55843,c_50,c_15397]) ).
tcf(c_55880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sdtpldt0(X0,xm))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55837,c_50,c_15397]) ).
tcf(c_55918,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xn,xr)),xr) = sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55844,c_4999]) ).
tcf(c_55919,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),xr) = sdtasdt0(xr,sdtpldt0(xm,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55844,c_4997]) ).
tcf(c_55920,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xm,sdtpldt0(xn,xr))),xr) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55844,c_4996]) ).
tcf(c_55921,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xn,xr)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55844,c_4945]) ).
tcf(c_55922,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55844,c_4943]) ).
tcf(c_55923,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xn,xr))),xq) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55844,c_4942]) ).
tcf(c_55924,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xn,xr)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55844,c_4262]) ).
tcf(c_55925,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55844,c_4260]) ).
tcf(c_55926,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xn,xr))),xp) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55844,c_4259]) ).
tcf(c_55927,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xn,xr))),xl) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55844,c_4186]) ).
tcf(c_55928,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sdtpldt0(xm,sdtpldt0(xn,xr)))) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55844,c_4041]) ).
tcf(c_55929,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sK0(sdtpldt0(xm,sdtpldt0(xn,xr)),sdtpldt0(xm,sdtpldt0(xn,xr)))) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55844,c_3458]) ).
tcf(c_55930,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xn,xr))),sz00) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55844,c_3195]) ).
tcf(c_55931,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xn,xr))),xn) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55844,c_3190]) ).
tcf(c_55932,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xn,xr))),xm) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55844,c_3189]) ).
tcf(c_55933,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xn,xr))),xl) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55844,c_3188]) ).
tcf(c_55934,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55844,c_3101]) ).
tcf(c_55935,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55844,c_3096]) ).
tcf(c_55936,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55844,c_3095]) ).
tcf(c_55937,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55844,c_3094]) ).
tcf(c_55938,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55844,c_2815]) ).
tcf(c_55939,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xn,xr)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55844,c_2811]) ).
tcf(c_55940,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xn,xr)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55844,c_2810]) ).
tcf(c_55941,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xn,xr))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55844,c_72]) ).
tcf(c_55942,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,xr)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xn,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55844,c_71]) ).
tcf(c_55943,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,sdtpldt0(xn,xr))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xn,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55844,c_105]) ).
tcf(c_55944,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xn,xr))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xm,sdtpldt0(xn,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55844,c_75]) ).
tcf(c_55945,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),X0),sdtpldt0(xm,sdtpldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55844,c_153]) ).
tcf(c_55946,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xn,xr)),X0),sdtpldt0(xm,sdtpldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55844,c_146]) ).
tcf(c_55947,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55844,c_106]) ).
tcf(c_55948,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xn,xr)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_55844,c_2809]) ).
tcf(c_55949,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xn,xr)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xn,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55844,c_76]) ).
tcf(c_55950,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,xr))) = sz00,
inference(superposition,[status(thm)],[c_55844,c_92]) ).
tcf(c_55951,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sz00) = sz00,
inference(superposition,[status(thm)],[c_55844,c_91]) ).
tcf(c_55952,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xn,xr))) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55844,c_74]) ).
tcf(c_55953,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sz00) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_55844,c_73]) ).
tcf(c_56074,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55845,c_99]) ).
tcf(c_56075,plain,
( ( sdtpldt0(sdtpldt0(xn,xr),sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))) = sdtpldt0(xm,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55845,c_104]) ).
tcf(c_56076,plain,
( ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_55845,c_100]) ).
tcf(c_56077,plain,
( ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtpldt0(xm,sdtpldt0(xn,xr)))) = sdtpldt0(xm,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55845,c_66]) ).
tcf(c_56078,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56074,c_15397,c_55844]) ).
tcf(c_56082,plain,
sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtpldt0(xm,sdtpldt0(xn,xr)))) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_56077,c_15397,c_55844]) ).
tcf(c_56083,plain,
( ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56076,c_15397,c_55844]) ).
tcf(c_56086,plain,
sdtpldt0(sdtpldt0(xn,xr),sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_56075,c_15397,c_55844]) ).
tcf(c_56127,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,xr))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55950,c_87]) ).
tcf(c_56130,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xr)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_55950,c_90]) ).
tcf(c_56136,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,xr))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55950,c_87]) ).
tcf(c_56139,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56130,c_93,c_55844]) ).
tcf(c_56144,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,xr))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56136,c_93,c_55844]) ).
tcf(c_56150,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,xr))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56127,c_93,c_55844]) ).
tcf(c_56158,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55951,c_85]) ).
tcf(c_56163,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xn,xr)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55951,c_140]) ).
tcf(c_56166,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xr)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_55951,c_89]) ).
tcf(c_56167,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_55951,c_85]) ).
tcf(c_56168,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xn,xr)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_56163,c_93,c_55844]) ).
tcf(c_56169,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56166,c_93,c_55844]) ).
tcf(c_56174,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56167,c_93,c_55844]) ).
tcf(c_56180,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56158,c_93,c_55844]) ).
tcf(c_56225,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xr)))
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56168,c_79]) ).
tcf(c_56226,plain,
( ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xn,xr)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56168,c_96]) ).
tcf(c_56227,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sK1(sdtpldt0(xm,sdtpldt0(xn,xr)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56168,c_82]) ).
tcf(c_56228,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56225,c_93,c_55844]) ).
tcf(c_56232,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sK1(sdtpldt0(xm,sdtpldt0(xn,xr)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_56227,c_93,c_55844]) ).
tcf(c_56233,plain,
( ( sdtpldt0(xm,sdtpldt0(xn,xr)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xr)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xn,xr)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56226,c_93,c_55844]) ).
tcf(c_56238,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(xl,sdtpldt0(xn,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15455,c_68]) ).
tcf(c_56240,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xl,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15455,c_143]) ).
tcf(c_56241,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15455,c_77]) ).
tcf(c_56242,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sdtpldt0(X0,xl))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_15455,c_63]) ).
tcf(c_56243,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xl,sdtpldt0(xn,xr)) ) ),
inference(superposition,[status(thm)],[c_15455,c_69]) ).
tcf(c_56244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xr),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15455,c_61]) ).
tcf(c_56245,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15455,c_78]) ).
tcf(c_56246,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(xl,sdtpldt0(xn,xr)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_15455,c_70]) ).
tcf(c_56247,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xl,sdtpldt0(xn,xr)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15455,c_61]) ).
tcf(c_56248,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_15455,c_63]) ).
tcf(c_56249,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_56241,c_49,c_15397]) ).
tcf(c_56250,plain,
sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xl,sdtpldt0(xn,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_56240,c_49,c_15397]) ).
tcf(c_56251,plain,
sdtpldt0(xl,sdtpldt0(xn,xr)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_56238,c_54,c_49,c_15397]) ).
tcf(c_56252,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xn,xr)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56246,c_49,c_15397]) ).
tcf(c_56256,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56245,c_49,c_15397]) ).
tcf(c_56261,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xl,sdtpldt0(xn,xr)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56243,c_49,c_15397]) ).
tcf(c_56265,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xl,sdtpldt0(xn,xr)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56247,c_49,c_15397]) ).
tcf(c_56270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xr),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56244,c_49,c_15397]) ).
tcf(c_56275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56248,c_49,c_15397]) ).
tcf(c_56280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sdtpldt0(X0,xl))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56242,c_49,c_15397]) ).
tcf(c_56373,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xn,xr)),xr) = sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_56249,c_4999]) ).
tcf(c_56374,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),xr) = sdtasdt0(xr,sdtpldt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_56249,c_4997]) ).
tcf(c_56375,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xl,sdtpldt0(xn,xr))),xr) = sdtpldt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_56249,c_4996]) ).
tcf(c_56376,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xn,xr)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_56249,c_4945]) ).
tcf(c_56377,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_56249,c_4943]) ).
tcf(c_56378,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xn,xr))),xq) = sdtpldt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_56249,c_4942]) ).
tcf(c_56379,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xn,xr)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_56249,c_4262]) ).
tcf(c_56380,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_56249,c_4260]) ).
tcf(c_56381,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xn,xr))),xp) = sdtpldt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_56249,c_4259]) ).
tcf(c_56382,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xn,xr))),xl) = sdtpldt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_56249,c_4186]) ).
tcf(c_56383,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sdtpldt0(xl,sdtpldt0(xn,xr)))) = sdtpldt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_56249,c_4041]) ).
tcf(c_56384,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sK0(sdtpldt0(xl,sdtpldt0(xn,xr)),sdtpldt0(xl,sdtpldt0(xn,xr)))) = sdtpldt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_56249,c_3458]) ).
tcf(c_56385,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xn,xr))),sz00) = sdtpldt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_56249,c_3195]) ).
tcf(c_56386,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xn,xr))),xn) = sdtpldt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_56249,c_3190]) ).
tcf(c_56387,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xn,xr))),xm) = sdtpldt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_56249,c_3189]) ).
tcf(c_56388,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xn,xr))),xl) = sdtpldt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_56249,c_3188]) ).
tcf(c_56389,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_56249,c_3101]) ).
tcf(c_56390,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_56249,c_3096]) ).
tcf(c_56391,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_56249,c_3095]) ).
tcf(c_56392,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_56249,c_3094]) ).
tcf(c_56393,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_56249,c_2815]) ).
tcf(c_56394,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xn,xr)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_56249,c_2811]) ).
tcf(c_56395,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xn,xr)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_56249,c_2810]) ).
tcf(c_56396,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xn,xr))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56249,c_72]) ).
tcf(c_56397,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,xr)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xn,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56249,c_71]) ).
tcf(c_56398,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,sdtpldt0(xn,xr))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xn,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56249,c_105]) ).
tcf(c_56399,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xn,xr))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xl,sdtpldt0(xn,xr)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56249,c_75]) ).
tcf(c_56400,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),X0),sdtpldt0(xl,sdtpldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56249,c_153]) ).
tcf(c_56401,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xn,xr)),X0),sdtpldt0(xl,sdtpldt0(xn,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56249,c_146]) ).
tcf(c_56402,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56249,c_106]) ).
tcf(c_56403,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xn,xr)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_56249,c_2809]) ).
tcf(c_56404,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xn,xr)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xn,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56249,c_76]) ).
tcf(c_56405,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,xr))) = sz00,
inference(superposition,[status(thm)],[c_56249,c_92]) ).
tcf(c_56406,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sz00) = sz00,
inference(superposition,[status(thm)],[c_56249,c_91]) ).
tcf(c_56407,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xn,xr))) = sdtpldt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_56249,c_74]) ).
tcf(c_56408,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sz00) = sdtpldt0(xl,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_56249,c_73]) ).
tcf(c_56436,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56250,c_99]) ).
tcf(c_56437,plain,
( ( sdtpldt0(sdtpldt0(xn,xr),sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))) = sdtpldt0(xl,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56250,c_104]) ).
tcf(c_56438,plain,
( ( sdtpldt0(xl,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56250,c_100]) ).
tcf(c_56439,plain,
( ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtpldt0(xl,sdtpldt0(xn,xr)))) = sdtpldt0(xl,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56250,c_66]) ).
tcf(c_56440,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56436,c_15397,c_56249]) ).
tcf(c_56444,plain,
sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtpldt0(xl,sdtpldt0(xn,xr)))) = sdtpldt0(xl,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_56439,c_15397,c_56249]) ).
tcf(c_56445,plain,
( ( sdtpldt0(xl,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56438,c_15397,c_56249]) ).
tcf(c_56448,plain,
sdtpldt0(sdtpldt0(xn,xr),sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))) = sdtpldt0(xl,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_56437,c_15397,c_56249]) ).
tcf(c_56450,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,xr))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56405,c_87]) ).
tcf(c_56453,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xr)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_56405,c_90]) ).
tcf(c_56459,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,xr))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56405,c_87]) ).
tcf(c_56462,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56453,c_56251,c_93,c_56249]) ).
tcf(c_56466,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,xr))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56459,c_56251,c_93,c_56249]) ).
tcf(c_56471,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,xr))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56450,c_56251,c_93,c_56249]) ).
tcf(c_56478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56406,c_85]) ).
tcf(c_56483,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xn,xr)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56406,c_140]) ).
tcf(c_56486,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xr)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_56406,c_89]) ).
tcf(c_56487,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56406,c_85]) ).
tcf(c_56488,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xn,xr)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_56483,c_93,c_56249]) ).
tcf(c_56489,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56486,c_56251,c_93,c_56249]) ).
tcf(c_56493,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56487,c_56251,c_93,c_56249]) ).
tcf(c_56498,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56478,c_56251,c_93,c_56249]) ).
tcf(c_56507,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xq))),sz00)
| ( sdtpldt0(xm,xq) = sz00 )
| ( sdtpldt0(xm,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_13882,c_87]) ).
tcf(c_56508,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sz00)
| ( sdtpldt0(xm,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_13882,c_83]) ).
tcf(c_56509,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xq),X0),sz00)
| ( sdtpldt0(xm,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_13882,c_85]) ).
tcf(c_56510,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtpldt0(xm,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xq)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13882,c_90]) ).
tcf(c_56513,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_13882,c_88]) ).
tcf(c_56516,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xq))))
| ( sdtpldt0(xm,xq) = sz00 )
| ( sdtpldt0(xm,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_13882,c_87]) ).
tcf(c_56517,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xq)))
| ( sdtasdt0(sdtpldt0(xm,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13882,c_89]) ).
tcf(c_56518,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xq),X0))
| ( sdtpldt0(xm,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xm,xq)),X0) ),
inference(superposition,[status(thm)],[c_13882,c_85]) ).
tcf(c_56519,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56513,c_13506]) ).
tcf(c_56524,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xq)))
| ( sdtasdt0(sdtpldt0(xm,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56517,c_13506]) ).
tcf(c_56530,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xq),X0))
| ( sdtpldt0(xm,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xm,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56518,c_13506]) ).
tcf(c_56537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xq),X0),sz00)
| ( sdtpldt0(xm,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56509,c_13506]) ).
tcf(c_56544,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtpldt0(xm,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xq)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56510,c_13506]) ).
tcf(c_56551,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xq))))
| ( sdtpldt0(xm,xq) = sz00 )
| ( sdtpldt0(xm,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56516,c_13506]) ).
tcf(c_56559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xq))),sz00)
| ( sdtpldt0(xm,xq) = sz00 )
| ( sdtpldt0(xm,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56507,c_13506]) ).
tcf(c_56571,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xr)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56488,c_79]) ).
tcf(c_56572,plain,
( ( sdtpldt0(xl,sdtpldt0(xn,xr)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xn,xr)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56488,c_96]) ).
tcf(c_56573,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sK1(sdtpldt0(xl,sdtpldt0(xn,xr)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56488,c_82]) ).
tcf(c_56574,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56571,c_93,c_56249]) ).
tcf(c_56578,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sK1(sdtpldt0(xl,sdtpldt0(xn,xr)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_56573,c_93,c_56249]) ).
tcf(c_56579,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xr)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xn,xr)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_56572,c_56251,c_93,c_56249]) ).
tcf(c_56582,plain,
( ( sK0(xq,sdtpldt0(xn,xq)) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq)))
| ( sdtpldt0(xn,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_15989,c_68]) ).
tcf(c_56583,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq)))
| ( sdtpldt0(xn,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_15989,c_67]) ).
tcf(c_56586,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(X0,sK0(xq,sdtpldt0(xn,xq))))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_15989,c_63]) ).
tcf(c_56587,plain,
! [X0: $i] :
( ( sK0(xq,sdtpldt0(xn,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq)))
| ( sdtpldt0(xq,X0) != sdtpldt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_15989,c_69]) ).
tcf(c_56588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(xq,X0))
| ( sK0(xq,sdtpldt0(xn,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq)))
| ~ sdtlseqdt0(sK0(xq,sdtpldt0(xn,xq)),X0) ),
inference(superposition,[status(thm)],[c_15989,c_61]) ).
tcf(c_56589,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq)))
| ~ doDivides0(X0,sK0(xq,sdtpldt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_15989,c_78]) ).
tcf(c_56590,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq)))
| ( sdtpldt0(X0,sK0(xq,sdtpldt0(xn,xq))) != sdtpldt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_15989,c_70]) ).
tcf(c_56591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xn,xq))
| ( sK0(xq,sdtpldt0(xn,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq)))
| ~ sdtlseqdt0(X0,sK0(xq,sdtpldt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_15989,c_61]) ).
tcf(c_56592,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xq,sdtpldt0(xn,xq))),sdtpldt0(xn,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_15989,c_63]) ).
tcf(c_56593,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq)))
| ( sdtpldt0(xn,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56583,c_4938]) ).
tcf(c_56597,plain,
( ( sK0(xq,sdtpldt0(xn,xq)) = sz00 )
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq)))
| ( sdtpldt0(xn,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56582,c_4938]) ).
tcf(c_56601,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq)))
| ( sdtpldt0(X0,sK0(xq,sdtpldt0(xn,xq))) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56590,c_4938]) ).
tcf(c_56606,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq)))
| ~ doDivides0(X0,sK0(xq,sdtpldt0(xn,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56589,c_4938]) ).
tcf(c_56612,plain,
! [X0: $i] :
( ( sK0(xq,sdtpldt0(xn,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq)))
| ( sdtpldt0(xq,X0) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56587,c_4938]) ).
tcf(c_56617,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xq,sdtpldt0(xn,xq))),sdtpldt0(xn,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56592,c_4938]) ).
tcf(c_56623,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(X0,sK0(xq,sdtpldt0(xn,xq))))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56586,c_4938]) ).
tcf(c_56629,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xn,xq))
| ( sK0(xq,sdtpldt0(xn,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq)))
| ~ sdtlseqdt0(X0,sK0(xq,sdtpldt0(xn,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56591,c_4938]) ).
tcf(c_56635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(xq,X0))
| ( sK0(xq,sdtpldt0(xn,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xq,sdtpldt0(xn,xq)))
| ~ sdtlseqdt0(sK0(xq,sdtpldt0(xn,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56588,c_4938]) ).
tcf(c_56653,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xq))
| ( sdtpldt0(xn,xq) = xq )
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_34781,c_15990]) ).
tcf(c_56655,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xq))
| ( sdtpldt0(xn,xq) = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56653,c_15747]) ).
tcf(c_56724,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ( sdtpldt0(xn,xq) = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_56655,c_99]) ).
tcf(c_56725,plain,
( ( sdtpldt0(xn,xq) = xq )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xq),xr)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_56655,c_104]) ).
tcf(c_56726,plain,
( ( sdtpldt0(xn,xq) = xr )
| ( sdtpldt0(xn,xq) = xq )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),xr) ),
inference(superposition,[status(thm)],[c_56655,c_100]) ).
tcf(c_56727,plain,
( ( sdtpldt0(xn,xq) = xq )
| ( sdtpldt0(xr,sK0(xr,sdtpldt0(xn,xq))) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_56655,c_66]) ).
tcf(c_56728,plain,
( ( sdtpldt0(xn,xq) = xq )
| ( sdtpldt0(xr,sK0(xr,sdtpldt0(xn,xq))) = sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56727,c_4939,c_15747]) ).
tcf(c_56731,plain,
( ( sdtpldt0(xn,xq) = xr )
| ( sdtpldt0(xn,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56726,c_4939,c_15747]) ).
tcf(c_56735,plain,
( ( sdtpldt0(xn,xq) = xq )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xq),xr)) = sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56725,c_4939,c_15747]) ).
tcf(c_56738,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ( sdtpldt0(xn,xq) = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56724,c_4939,c_15747]) ).
tcf(c_56743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xp,xn)))
| ( xl = sz00 )
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15601,c_87]) ).
tcf(c_56744,plain,
( sdtlseqdt0(sdtpldt0(xp,xn),sdtasdt0(xl,sdtpldt0(xp,xn)))
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15601,c_83]) ).
tcf(c_56745,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xn),X0),sdtasdt0(xl,sdtpldt0(xp,xn)))
| ( X0 = xl )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15601,c_85]) ).
tcf(c_56746,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtasdt0(xl,sdtpldt0(xp,xn)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_15601,c_90]) ).
tcf(c_56749,plain,
( ( xl = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtasdt0(xl,sdtpldt0(xp,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15601,c_88]) ).
tcf(c_56750,plain,
( doDivides0(sdtpldt0(xp,xn),sdtasdt0(xl,sdtpldt0(xp,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15601,c_140]) ).
tcf(c_56751,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15601,c_107]) ).
tcf(c_56752,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_15601,c_87]) ).
tcf(c_56753,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtasdt0(sdtpldt0(xp,xn),X0) != sdtasdt0(xl,sdtpldt0(xp,xn)) ) ),
inference(superposition,[status(thm)],[c_15601,c_89]) ).
tcf(c_56754,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sdtasdt0(sdtpldt0(xp,xn),X0))
| ( X0 = xl )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15601,c_85]) ).
tcf(c_56755,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_56751,c_49,c_15554]) ).
tcf(c_56756,plain,
doDivides0(sdtpldt0(xp,xn),sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_56750,c_49,c_15554]) ).
tcf(c_56757,plain,
sdtlseqdt0(sdtpldt0(xp,xn),sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_56744,c_54,c_49,c_15554]) ).
tcf(c_56758,plain,
( ( sdtpldt0(xp,xn) = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xp,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56749,c_54,c_49,c_15554]) ).
tcf(c_56761,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,sdtpldt0(xp,xn)) != sdtasdt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56746,c_54,c_49,c_15554]) ).
tcf(c_56765,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xn),X0) != sdtasdt0(xl,sdtpldt0(xp,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56753,c_49,c_15554]) ).
tcf(c_56770,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sdtasdt0(sdtpldt0(xp,xn),X0))
| ( X0 = xl )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56754,c_49,c_15554]) ).
tcf(c_56776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sdtasdt0(X0,xl))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56752,c_54,c_49,c_15554]) ).
tcf(c_56781,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xn),X0),sdtasdt0(xl,sdtpldt0(xp,xn)))
| ( X0 = xl )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56745,c_49,c_15554]) ).
tcf(c_56787,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,sdtpldt0(xp,xn)))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56743,c_54,c_49,c_15554]) ).
tcf(c_56849,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xp,xn)),xr) = sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_56755,c_4999]) ).
tcf(c_56850,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),xr) = sdtasdt0(xr,sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_56755,c_4997]) ).
tcf(c_56851,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xl,sdtpldt0(xp,xn))),xr) = sdtasdt0(xl,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_56755,c_4996]) ).
tcf(c_56852,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xp,xn)),xq) = sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_56755,c_4945]) ).
tcf(c_56853,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),xq) = sdtasdt0(xq,sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_56755,c_4943]) ).
tcf(c_56854,plain,
sdtmndt0(sdtpldt0(xq,sdtasdt0(xl,sdtpldt0(xp,xn))),xq) = sdtasdt0(xl,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_56755,c_4942]) ).
tcf(c_56855,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xp,xn)),xp) = sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_56755,c_4262]) ).
tcf(c_56856,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),xp) = sdtasdt0(xp,sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_56755,c_4260]) ).
tcf(c_56857,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xl,sdtpldt0(xp,xn))),xp) = sdtasdt0(xl,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_56755,c_4259]) ).
tcf(c_56858,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xp,xn))),xl) = sdtasdt0(xl,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_56755,c_4186]) ).
tcf(c_56859,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sdtmndt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sdtasdt0(xl,sdtpldt0(xp,xn)))) = sdtasdt0(xl,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_56755,c_4041]) ).
tcf(c_56860,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sK0(sdtasdt0(xl,sdtpldt0(xp,xn)),sdtasdt0(xl,sdtpldt0(xp,xn)))) = sdtasdt0(xl,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_56755,c_3458]) ).
tcf(c_56861,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xp,xn))),sz00) = sdtasdt0(xl,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_56755,c_3195]) ).
tcf(c_56862,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xp,xn))),xn) = sdtasdt0(xl,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_56755,c_3190]) ).
tcf(c_56863,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xp,xn))),xm) = sdtasdt0(xl,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_56755,c_3189]) ).
tcf(c_56864,plain,
sdtmndt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xp,xn))),xl) = sdtasdt0(xl,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_56755,c_3188]) ).
tcf(c_56865,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_56755,c_3101]) ).
tcf(c_56866,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_56755,c_3096]) ).
tcf(c_56867,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_56755,c_3095]) ).
tcf(c_56868,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_56755,c_3094]) ).
tcf(c_56869,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_56755,c_2815]) ).
tcf(c_56870,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xp,xn)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_56755,c_2811]) ).
tcf(c_56871,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xp,xn)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_56755,c_2810]) ).
tcf(c_56872,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xp,xn))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56755,c_72]) ).
tcf(c_56873,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xp,xn)))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xp,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56755,c_71]) ).
tcf(c_56874,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,sdtpldt0(xp,xn))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xp,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56755,c_105]) ).
tcf(c_56875,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xp,xn))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xl,sdtpldt0(xp,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56755,c_75]) ).
tcf(c_56876,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),X0),sdtasdt0(xl,sdtpldt0(xp,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56755,c_153]) ).
tcf(c_56877,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xp,xn)),X0),sdtasdt0(xl,sdtpldt0(xp,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56755,c_146]) ).
tcf(c_56878,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xp,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56755,c_106]) ).
tcf(c_56879,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xp,xn)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_56755,c_2809]) ).
tcf(c_56880,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xp,xn)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xp,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56755,c_76]) ).
tcf(c_56881,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xp,xn))) = sz00,
inference(superposition,[status(thm)],[c_56755,c_92]) ).
tcf(c_56882,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_56755,c_91]) ).
tcf(c_56883,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xp,xn))) = sdtasdt0(xl,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_56755,c_74]) ).
tcf(c_56884,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sz00) = sdtasdt0(xl,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_56755,c_73]) ).
tcf(c_57031,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xp,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ doDivides0(X0,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_56756,c_79]) ).
tcf(c_57032,plain,
( ( sdtpldt0(xp,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xn),sdtsldt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sdtpldt0(xp,xn))) = sdtasdt0(xl,sdtpldt0(xp,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_56756,c_96]) ).
tcf(c_57033,plain,
( ( sdtasdt0(sdtpldt0(xp,xn),sK1(sdtpldt0(xp,xn),sdtasdt0(xl,sdtpldt0(xp,xn)))) = sdtasdt0(xl,sdtpldt0(xp,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_56756,c_82]) ).
tcf(c_57034,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,sdtpldt0(xp,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57031,c_15554,c_56755]) ).
tcf(c_57038,plain,
sdtasdt0(sdtpldt0(xp,xn),sK1(sdtpldt0(xp,xn),sdtasdt0(xl,sdtpldt0(xp,xn)))) = sdtasdt0(xl,sdtpldt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_57033,c_15554,c_56755]) ).
tcf(c_57039,plain,
( ( sdtpldt0(xp,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xn),sdtsldt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sdtpldt0(xp,xn))) = sdtasdt0(xl,sdtpldt0(xp,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57032,c_15554,c_56755]) ).
tcf(c_57043,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xp,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_56757,c_99]) ).
tcf(c_57044,plain,
( ( sdtpldt0(sdtpldt0(xp,xn),sdtmndt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sdtpldt0(xp,xn))) = sdtasdt0(xl,sdtpldt0(xp,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_56757,c_104]) ).
tcf(c_57045,plain,
( ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn)))
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_56757,c_100]) ).
tcf(c_57046,plain,
( ( sdtpldt0(sdtpldt0(xp,xn),sK0(sdtpldt0(xp,xn),sdtasdt0(xl,sdtpldt0(xp,xn)))) = sdtasdt0(xl,sdtpldt0(xp,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_56757,c_66]) ).
tcf(c_57047,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,sdtpldt0(xp,xn)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57043,c_15554,c_56755]) ).
tcf(c_57051,plain,
sdtpldt0(sdtpldt0(xp,xn),sK0(sdtpldt0(xp,xn),sdtasdt0(xl,sdtpldt0(xp,xn)))) = sdtasdt0(xl,sdtpldt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_57046,c_15554,c_56755]) ).
tcf(c_57052,plain,
( ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sdtpldt0(xp,xn) )
| ~ sdtlseqdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sdtpldt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57045,c_15554,c_56755]) ).
tcf(c_57055,plain,
sdtpldt0(sdtpldt0(xp,xn),sdtmndt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sdtpldt0(xp,xn))) = sdtasdt0(xl,sdtpldt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_57044,c_15554,c_56755]) ).
tcf(c_57057,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xp,xn))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_56881,c_87]) ).
tcf(c_57060,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xp,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_56881,c_90]) ).
tcf(c_57066,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xp,xn))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_56881,c_87]) ).
tcf(c_57069,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xp,xn))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57060,c_93,c_56755]) ).
tcf(c_57074,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xp,xn))))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57066,c_93,c_56755]) ).
tcf(c_57080,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xp,xn))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57057,c_93,c_56755]) ).
tcf(c_57088,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_56882,c_85]) ).
tcf(c_57093,plain,
( doDivides0(sdtasdt0(xl,sdtpldt0(xp,xn)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_56882,c_140]) ).
tcf(c_57096,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_56882,c_89]) ).
tcf(c_57097,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_56882,c_85]) ).
tcf(c_57098,plain,
doDivides0(sdtasdt0(xl,sdtpldt0(xp,xn)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_57093,c_93,c_56755]) ).
tcf(c_57099,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57096,c_93,c_56755]) ).
tcf(c_57104,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57097,c_93,c_56755]) ).
tcf(c_57110,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57088,c_93,c_56755]) ).
tcf(c_57116,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn)))
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_57098,c_79]) ).
tcf(c_57117,plain,
( ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xp,xn)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_57098,c_96]) ).
tcf(c_57118,plain,
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sK1(sdtasdt0(xl,sdtpldt0(xp,xn)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xp,xn))) ),
inference(superposition,[status(thm)],[c_57098,c_82]) ).
tcf(c_57119,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,sdtpldt0(xp,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57116,c_93,c_56755]) ).
tcf(c_57123,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sK1(sdtasdt0(xl,sdtpldt0(xp,xn)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_57118,c_93,c_56755]) ).
tcf(c_57124,plain,
( ( sdtasdt0(xl,sdtpldt0(xp,xn)) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xp,xn)),sdtsldt0(sz00,sdtasdt0(xl,sdtpldt0(xp,xn)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57117,c_93,c_56755]) ).
tcf(c_57130,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtpldt0(xn,sdtpldt0(xp,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15603,c_68]) ).
tcf(c_57131,plain,
( ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtpldt0(xn,sdtpldt0(xp,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15603,c_67]) ).
tcf(c_57132,plain,
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(xn,sdtpldt0(xp,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15603,c_143]) ).
tcf(c_57133,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xp,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15603,c_77]) ).
tcf(c_57134,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xp,xn)),sdtpldt0(X0,xn))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_15603,c_63]) ).
tcf(c_57135,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtpldt0(sdtpldt0(xp,xn),X0) != sdtpldt0(xn,sdtpldt0(xp,xn)) ) ),
inference(superposition,[status(thm)],[c_15603,c_69]) ).
tcf(c_57136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xp,xn)),sdtpldt0(sdtpldt0(xp,xn),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15603,c_61]) ).
tcf(c_57137,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xp,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ doDivides0(X0,sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15603,c_78]) ).
tcf(c_57138,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtpldt0(xn,sdtpldt0(xp,xn)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_15603,c_70]) ).
tcf(c_57139,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xn),X0),sdtpldt0(xn,sdtpldt0(xp,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15603,c_61]) ).
tcf(c_57140,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xp,xn)))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_15603,c_63]) ).
tcf(c_57141,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xp,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_57133,c_51,c_15554]) ).
tcf(c_57142,plain,
sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(xn,sdtpldt0(xp,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_57132,c_51,c_15554]) ).
tcf(c_57143,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xp,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57130,c_51,c_15554]) ).
tcf(c_57146,plain,
( ( sdtpldt0(xp,xn) = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xp,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57131,c_51,c_15554]) ).
tcf(c_57149,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xp,xn)) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57138,c_51,c_15554]) ).
tcf(c_57153,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xp,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57137,c_51,c_15554]) ).
tcf(c_57158,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,xn),X0) != sdtpldt0(xn,sdtpldt0(xp,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57135,c_51,c_15554]) ).
tcf(c_57162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xn),X0),sdtpldt0(xn,sdtpldt0(xp,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57139,c_51,c_15554]) ).
tcf(c_57167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xp,xn)),sdtpldt0(sdtpldt0(xp,xn),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57136,c_51,c_15554]) ).
tcf(c_57172,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xp,xn)))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57140,c_51,c_15554]) ).
tcf(c_57177,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xp,xn)),sdtpldt0(X0,xn))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57134,c_51,c_15554]) ).
tcf(c_57188,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xp,xn)),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_57141,c_4999]) ).
tcf(c_57189,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xp,xn)),xr) = sdtasdt0(xr,sdtpldt0(xn,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_57141,c_4997]) ).
tcf(c_57190,plain,
sdtmndt0(sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xp,xn))),xr) = sdtpldt0(xn,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_57141,c_4996]) ).
tcf(c_57191,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xp,xn)),xq) = sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_57141,c_4945]) ).
tcf(c_57192,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xp,xn)),xq) = sdtasdt0(xq,sdtpldt0(xn,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_57141,c_4943]) ).
tcf(c_57193,plain,
sdtmndt0(sdtpldt0(xq,sdtpldt0(xn,sdtpldt0(xp,xn))),xq) = sdtpldt0(xn,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_57141,c_4942]) ).
tcf(c_57194,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xp,xn)),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_57141,c_4262]) ).
tcf(c_57195,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xp,xn)),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_57141,c_4260]) ).
tcf(c_57196,plain,
sdtmndt0(sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xp,xn))),xp) = sdtpldt0(xn,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_57141,c_4259]) ).
tcf(c_57197,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xp,xn))),xl) = sdtpldt0(xn,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_57141,c_4186]) ).
tcf(c_57198,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xp,xn)),sdtmndt0(sdtpldt0(xn,sdtpldt0(xp,xn)),sdtpldt0(xn,sdtpldt0(xp,xn)))) = sdtpldt0(xn,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_57141,c_4041]) ).
tcf(c_57199,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xp,xn)),sK0(sdtpldt0(xn,sdtpldt0(xp,xn)),sdtpldt0(xn,sdtpldt0(xp,xn)))) = sdtpldt0(xn,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_57141,c_3458]) ).
tcf(c_57200,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xp,xn))),sz00) = sdtpldt0(xn,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_57141,c_3195]) ).
tcf(c_57201,plain,
sdtmndt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xp,xn))),xn) = sdtpldt0(xn,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_57141,c_3190]) ).
tcf(c_57202,plain,
sdtmndt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xp,xn))),xm) = sdtpldt0(xn,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_57141,c_3189]) ).
tcf(c_57203,plain,
sdtmndt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xp,xn))),xl) = sdtpldt0(xn,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_57141,c_3188]) ).
tcf(c_57204,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xp,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_57141,c_3101]) ).
tcf(c_57205,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xp,xn)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_57141,c_3096]) ).
tcf(c_57206,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xp,xn)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_57141,c_3095]) ).
tcf(c_57207,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xp,xn)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_57141,c_3094]) ).
tcf(c_57208,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xp,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_57141,c_2815]) ).
tcf(c_57209,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xp,xn)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_57141,c_2811]) ).
tcf(c_57210,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xp,xn)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_57141,c_2810]) ).
tcf(c_57211,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xp,xn)),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xp,xn))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57141,c_72]) ).
tcf(c_57212,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xp,xn)))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xp,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57141,c_71]) ).
tcf(c_57213,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xn,sdtpldt0(xp,xn))) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xp,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57141,c_105]) ).
tcf(c_57214,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xp,xn))) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xn,sdtpldt0(xp,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57141,c_75]) ).
tcf(c_57215,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xp,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xp,xn)),X0),sdtpldt0(xn,sdtpldt0(xp,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57141,c_153]) ).
tcf(c_57216,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xp,xn)),X0),sdtpldt0(xn,sdtpldt0(xp,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57141,c_146]) ).
tcf(c_57217,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xp,xn)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xp,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57141,c_106]) ).
tcf(c_57218,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xp,xn)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xp,xn))),
inference(superposition,[status(thm)],[c_57141,c_2809]) ).
tcf(c_57219,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xp,xn)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xp,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57141,c_76]) ).
tcf(c_57220,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xp,xn))) = sz00,
inference(superposition,[status(thm)],[c_57141,c_92]) ).
tcf(c_57221,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xp,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_57141,c_91]) ).
tcf(c_57222,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xp,xn))) = sdtpldt0(xn,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_57141,c_74]) ).
tcf(c_57223,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xp,xn)),sz00) = sdtpldt0(xn,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_57141,c_73]) ).
tcf(c_57341,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_57223,c_57222,c_57221,c_57220,c_57219,c_57218,c_57217,c_57216,c_57215,c_57214,c_57213,c_57212,c_57211,c_57210,c_57209,c_57208,c_57207,c_57206,c_57205,c_57204,c_57203,c_57202,c_57201,c_57200,c_57199,c_57198,c_57197,c_57196,c_57195,c_57194,c_57193,c_57192,c_57191,c_57190,c_57189,c_57188,c_57177,c_57172,c_57167,c_57162,c_57158,c_57153,c_57149,c_57146,c_57143,c_57142,c_57141,c_57140,c_57139,c_57137,c_57136,c_57134,c_57133,c_57132,c_57131,c_57130,c_57135,c_57138,c_57124,c_57123,c_57119,c_57118,c_57117,c_57116,c_57110,c_57104,c_57099,c_57098,c_57097,c_57093,c_57096,c_57088,c_57080,c_57074,c_57069,c_57066,c_57060,c_57057,c_57055,c_57052,c_57051,c_57047,c_57046,c_57045,c_57044,c_57043,c_57039,c_57038,c_57034,c_57033,c_57032,c_57031,c_56884,c_56883,c_56882,c_56881,c_56880,c_56879,c_56878,c_56877,c_56876,c_56875,c_56874,c_56873,c_56872,c_56871,c_56870,c_56869,c_56868,c_56867,c_56866,c_56865,c_56864,c_56863,c_56862,c_56861,c_56860,c_56859,c_56858,c_56857,c_56856,c_56855,c_56854,c_56853,c_56852,c_56851,c_56850,c_56849,c_56787,c_56781,c_56776,c_56770,c_56765,c_56761,c_56758,c_56757,c_56756,c_56755,c_56754,c_56752,c_56751,c_56750,c_56749,c_56753,c_56746,c_56745,c_56744,c_56743,c_56738,c_56735,c_56731,c_56728,c_56727,c_56726,c_56725,c_56724,c_56655,c_56653,c_56635,c_56629,c_56623,c_56617,c_56612,c_56606,c_56601,c_56597,c_56593,c_56592,c_56591,c_56589,c_56588,c_56586,c_56583,c_56582,c_56587,c_56590,c_56579,c_56578,c_56574,c_56573,c_56572,c_56571,c_56559,c_56551,c_56544,c_56537,c_56530,c_56524,c_56519,c_56518,c_56516,c_56513,c_56517,c_56510,c_56509,c_56508,c_56507,c_56498,c_56493,c_56489,c_56488,c_56487,c_56483,c_56486,c_56478,c_56471,c_56466,c_56462,c_56459,c_56453,c_56450,c_56448,c_56445,c_56444,c_56440,c_56439,c_56438,c_56437,c_56436,c_56408,c_56407,c_56406,c_56405,c_56404,c_56403,c_56402,c_56401,c_56400,c_56399,c_56398,c_56397,c_56396,c_56395,c_56394,c_56393,c_56392,c_56391,c_56390,c_56389,c_56388,c_56387,c_56386,c_56385,c_56384,c_56383,c_56382,c_56381,c_56380,c_56379,c_56378,c_56377,c_56376,c_56375,c_56374,c_56373,c_56280,c_56275,c_56270,c_56265,c_56261,c_56256,c_56252,c_56251,c_56250,c_56249,c_56248,c_56247,c_56245,c_56244,c_56242,c_56241,c_56240,c_56238,c_56243,c_56246,c_56233,c_56232,c_56228,c_56227,c_56226,c_56225,c_56180,c_56174,c_56169,c_56168,c_56167,c_56163,c_56166,c_56158,c_56150,c_56144,c_56139,c_56136,c_56130,c_56127,c_56086,c_56083,c_56082,c_56078,c_56077,c_56076,c_56075,c_56074,c_55953,c_55952,c_55951,c_55950,c_55949,c_55948,c_55947,c_55946,c_55945,c_55944,c_55943,c_55942,c_55941,c_55940,c_55939,c_55938,c_55937,c_55936,c_55935,c_55934,c_55933,c_55932,c_55931,c_55930,c_55929,c_55928,c_55927,c_55926,c_55925,c_55924,c_55923,c_55922,c_55921,c_55920,c_55919,c_55918,c_55880,c_55875,c_55870,c_55865,c_55861,c_55856,c_55852,c_55849,c_55846,c_55845,c_55844,c_55843,c_55842,c_55840,c_55839,c_55837,c_55836,c_55835,c_55834,c_55833,c_55838,c_55841,c_55825,c_55821,c_55816,c_55812,c_55811,c_55810,c_55809,c_55808,c_55798,c_55797,c_55793,c_55792,c_55791,c_55790,c_55784,c_55778,c_55773,c_55772,c_55771,c_55767,c_55770,c_55762,c_55748,c_55740,c_55733,c_55726,c_55719,c_55713,c_55708,c_55707,c_55705,c_55702,c_55706,c_55699,c_55698,c_55697,c_55696,c_55686,c_55680,c_55675,c_55672,c_55666,c_55663,c_55661,c_55658,c_55657,c_55653,c_55652,c_55651,c_55650,c_55649,c_55419,c_55418,c_55417,c_55416,c_55415,c_55414,c_55413,c_55412,c_55411,c_55410,c_55409,c_55408,c_55407,c_55406,c_55405,c_55404,c_55403,c_55402,c_55401,c_55400,c_55399,c_55398,c_55397,c_55396,c_55395,c_55394,c_55393,c_55392,c_55391,c_55390,c_55389,c_55388,c_55387,c_55386,c_55385,c_55384,c_55373,c_55368,c_55363,c_55358,c_55354,c_55349,c_55345,c_55342,c_55339,c_55338,c_55337,c_55336,c_55335,c_55333,c_55332,c_55330,c_55329,c_55328,c_55327,c_55326,c_55331,c_55334,c_55280,c_55279,c_55275,c_55274,c_55273,c_55272,c_55266,c_55260,c_55255,c_55254,c_55253,c_55249,c_55252,c_55244,c_55236,c_55230,c_55225,c_55222,c_55216,c_55213,c_55211,c_55208,c_55207,c_55203,c_55202,c_55201,c_55200,c_55199,c_55195,c_55194,c_55190,c_55189,c_55188,c_55187,c_55046,c_55045,c_55044,c_55043,c_55042,c_55041,c_55040,c_55039,c_55038,c_55037,c_55036,c_55035,c_55034,c_55033,c_55032,c_55031,c_55030,c_55029,c_55028,c_55027,c_55026,c_55025,c_55024,c_55023,c_55022,c_55021,c_55020,c_55019,c_55018,c_55017,c_55016,c_55015,c_55014,c_55013,c_55012,c_55011,c_54946,c_54940,c_54935,c_54929,c_54924,c_54920,c_54917,c_54916,c_54915,c_54914,c_54913,c_54911,c_54910,c_54909,c_54908,c_54912,c_54905,c_54904,c_54903,c_54902,c_54882,c_54876,c_54870,c_54864,c_54859,c_54853,c_54848,c_54844,c_54840,c_54839,c_54838,c_54836,c_54835,c_54833,c_54830,c_54829,c_54834,c_54837,c_54821,c_54817,c_54812,c_54808,c_54807,c_54806,c_54805,c_54804,c_54797,c_54796,c_54792,c_54791,c_54790,c_54789,c_54777,c_54769,c_54762,c_54755,c_54748,c_54742,c_54737,c_54736,c_54734,c_54731,c_54735,c_54728,c_54727,c_54726,c_54725,c_54676,c_54671,c_54667,c_54666,c_54665,c_54661,c_54664,c_54656,c_54585,c_54580,c_54576,c_54573,c_54567,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM474+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 04:11:35 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 33.06/6.87 % SZS status Started for theBenchmark.p
% 33.06/6.87 % SZS status Theorem for theBenchmark.p
% 33.06/6.87
% 33.06/6.87 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 33.06/6.87
% 33.06/6.87 % ------ iProver source info
% 33.06/6.87
% 33.06/6.87 % git: date: 2026-07-19 20:42:38 +0200
% 33.06/6.87 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 33.06/6.87 % git: non_committed_changes: false
% 33.06/6.87
% 33.06/6.87 % ------ Parsing...
% 33.06/6.87 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 33.06/6.87
% 33.06/6.87 % ------ 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 %
% 33.06/6.87
% 33.06/6.87 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 33.06/6.87
% 33.06/6.87 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 33.06/6.87 % ------ Proving...
% 33.06/6.87 % ------ Problem Properties
% 33.06/6.87
% 33.06/6.87 %
% 33.06/6.87 % clauses 54
% 33.06/6.87 % conjectures 1
% 33.06/6.87 % EPR 12
% 33.06/6.87 % Horn 42
% 33.06/6.87 % unary 12
% 33.06/6.87 % binary 5
% 33.06/6.87 % lits 189
% 33.06/6.87 % lits eq 49
% 33.06/6.87 % fd_pure 0
% 33.06/6.87 % fd_pseudo 0
% 33.06/6.87 % fd_cond 5
% 33.06/6.87 % fd_pseudo_cond 9
% 33.06/6.87 % AC symbols 0
% 33.06/6.87
% 33.06/6.87 % ------ Schedule dynamic 5 is on
% 33.06/6.87
% 33.06/6.87 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 33.06/6.87
% 33.06/6.87
% 33.06/6.87 % ------
% 33.06/6.87 % Current options:
% 33.06/6.87 % ------
% 33.06/6.87
% 33.06/6.87
% 33.06/6.87 %
% 33.06/6.87
% 33.06/6.87 % ------ Proving...
% 33.06/6.87 %
% 33.06/6.87
% 33.06/6.87 % SZS status Theorem for theBenchmark.p
% 33.06/6.87
% 33.06/6.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 43.51/7.17
% 43.51/7.17
%------------------------------------------------------------------------------