%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM473+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:24:59 PM UTC 2026
% Result : Theorem 64.21s 12.97s
% Output : CNFRefutation 87.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 37
% Syntax : Number of formulae : 5502 ( 591 unt; 0 def)
% Number of atoms : 24734 (6467 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 33544 (14312 ~;19057 |; 126 &)
% ( 9 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 4061 ( 0 sgn4044 !; 17 ?;3744 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtpldt0(X0,X1) = sz00
=> ( X1 = sz00
& X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X1 = sz00
| X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& X0 != sz00 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& X0 != sz00 )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivSum) ).
fof(f34,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
fof(f35,axiom,
( doDivides0(xl,sdtpldt0(xm,xn))
& ? [X0] :
( sdtpldt0(xm,xn) = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) )
& doDivides0(xl,xm)
& ? [X0] :
( xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).
fof(f36,axiom,
xl != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1347) ).
fof(f37,axiom,
( xp = sdtsldt0(xm,xl)
& xm = sdtasdt0(xl,xp)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1360) ).
fof(f38,axiom,
( xq = sdtsldt0(sdtpldt0(xm,xn),xl)
& sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
& aNaturalNumber0(xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1379) ).
fof(f39,axiom,
( sdtlseqdt0(xm,sdtpldt0(xm,xn))
& ? [X0] :
( sdtpldt0(xm,X0) = sdtpldt0(xm,xn)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1409) ).
fof(f40,conjecture,
( sdtlseqdt0(xp,xq)
| ? [X0] :
( sdtpldt0(xp,X0) = xq
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f41,negated_conjecture,
~ ( sdtlseqdt0(xp,xq)
| ? [X0] :
( sdtpldt0(xp,X0) = xq
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f42,plain,
( doDivides0(xl,sdtpldt0(xm,xn))
& ? [X1] :
( sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) )
& doDivides0(xl,xm)
& ? [X0] :
( xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) ),
inference(rectify,[],[f35]) ).
fof(f44,plain,
( ~ sdtlseqdt0(xp,xq)
& ! [X0] :
( xq != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f41]) ).
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] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f63,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f65,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,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f67,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ! [X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| X1 = X2 ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f69,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,[],[f68]) ).
fof(f70,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f71,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(f72,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f74,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f75]) ).
fof(f77,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(f78,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f82,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f84,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,[],[f83]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f92,plain,
( doDivides0(xl,sdtpldt0(xm,xn))
& sdtpldt0(xm,xn) = sdtasdt0(xl,sK1)
& aNaturalNumber0(sK1)
& doDivides0(xl,xm)
& xm = sdtasdt0(xl,sK0)
& aNaturalNumber0(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f42]) ).
fof(f93,plain,
( sdtlseqdt0(xm,sdtpldt0(xm,xn))
& sdtpldt0(xm,xn) = sdtpldt0(xm,sK2)
& aNaturalNumber0(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f39]) ).
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,sK3(X0,X1)) = X1
& aNaturalNumber0(sK3(X0,X1)) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(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,[],[f82]) ).
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,sK4(X0,X1)) = X1
& aNaturalNumber0(sK4(X0,X1)) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(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,[],[f84]) ).
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,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f103,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f104,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f105,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f92]) ).
fof(f106,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,sK1),
inference(cnf_transformation,[],[f92]) ).
fof(f107,plain,
aNaturalNumber0(sK1),
inference(cnf_transformation,[],[f92]) ).
fof(f108,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f92]) ).
fof(f109,plain,
xm = sdtasdt0(xl,sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f110,plain,
aNaturalNumber0(sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f111,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f112,plain,
xp = sdtsldt0(xm,xl),
inference(cnf_transformation,[],[f37]) ).
fof(f113,plain,
xm = sdtasdt0(xl,xp),
inference(cnf_transformation,[],[f37]) ).
fof(f114,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f37]) ).
fof(f115,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(cnf_transformation,[],[f38]) ).
fof(f116,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(cnf_transformation,[],[f38]) ).
fof(f117,plain,
aNaturalNumber0(xq),
inference(cnf_transformation,[],[f38]) ).
fof(f118,plain,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f93]) ).
fof(f119,plain,
sdtpldt0(xm,xn) = sdtpldt0(xm,sK2),
inference(cnf_transformation,[],[f93]) ).
fof(f120,plain,
aNaturalNumber0(sK2),
inference(cnf_transformation,[],[f93]) ).
fof(f121,plain,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f44]) ).
fof(f122,plain,
! [X0] :
( xq != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f123,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(f125,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(f127,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK3(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f96]) ).
fof(f128,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sK3(X0,X1)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f130,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f50]) ).
fof(f131,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f50]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f52]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f52]) ).
fof(f134,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(f135,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(f136,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f137,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f138,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(f139,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f140,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f141,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f142,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,[],[f65]) ).
fof(f144,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,[],[f65]) ).
fof(f146,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f67]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f69]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f69]) ).
fof(f149,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f150,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f70]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f152,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f153,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f156,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK4(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f99]) ).
fof(f157,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| aNaturalNumber0(sK4(X0,X1)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f159,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f160,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(f161,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f162,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(f163,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f166,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f90]) ).
fof(f167,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f168,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f129]) ).
fof(f169,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f158]) ).
fof(f170,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,[],[f162]) ).
fof(f171,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f161]) ).
fof(f172,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f160]) ).
tcf(c_49,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f104]) ).
tcf(c_50,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f103]) ).
tcf(c_51,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f102]) ).
tcf(c_52,plain,
aNaturalNumber0(sK0),
inference(cnf_transformation,[],[f110]) ).
tcf(c_53,plain,
sdtasdt0(xl,sK0) = xm,
inference(cnf_transformation,[],[f109]) ).
tcf(c_54,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f108]) ).
tcf(c_55,plain,
aNaturalNumber0(sK1),
inference(cnf_transformation,[],[f107]) ).
tcf(c_56,plain,
sdtasdt0(xl,sK1) = sdtpldt0(xm,xn),
inference(cnf_transformation,[],[f106]) ).
tcf(c_57,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f105]) ).
tcf(c_58,plain,
xl != sz00,
inference(cnf_transformation,[],[f111]) ).
tcf(c_59,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f114]) ).
tcf(c_60,plain,
sdtasdt0(xl,xp) = xm,
inference(cnf_transformation,[],[f113]) ).
tcf(c_61,plain,
sdtsldt0(xm,xl) = xp,
inference(cnf_transformation,[],[f112]) ).
tcf(c_62,plain,
aNaturalNumber0(xq),
inference(cnf_transformation,[],[f117]) ).
tcf(c_63,plain,
sdtasdt0(xl,xq) = sdtpldt0(xm,xn),
inference(cnf_transformation,[],[f116]) ).
tcf(c_64,plain,
sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
inference(cnf_transformation,[],[f115]) ).
tcf(c_65,plain,
aNaturalNumber0(sK2),
inference(cnf_transformation,[],[f120]) ).
tcf(c_66,plain,
sdtpldt0(xm,xn) = sdtpldt0(xm,sK2),
inference(cnf_transformation,[],[f119]) ).
tcf(c_67,plain,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f118]) ).
tcf(c_68,negated_conjecture,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xq ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_69,negated_conjecture,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f121]) ).
tcf(c_71,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,[],[f125]) ).
tcf(c_73,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,[],[f123]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK3(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK3(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2) ) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X2,X1) ) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1)) = sdtasdt0(X0,sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X1,X0)) = sdtasdt0(sdtpldt0(X2,X1),X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_83,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_84,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X2),X1) = sdtpldt0(X0,sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_90,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,[],[f144]) ).
tcf(c_92,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,[],[f142]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_94,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,[],[f148]) ).
tcf(c_95,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,[],[f147]) ).
tcf(c_96,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_97,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X2),X1) = sdtasdt0(X0,sdtasdt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_101,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,[],[f154]) ).
tcf(c_102,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,[],[f155]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK4(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK4(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_106,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f159]) ).
tcf(c_107,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,[],[f170]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_114,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_115,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_117,plain,
( ( sdtpldt0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_124,plain,
( aNaturalNumber0(sK3(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_128,plain,
( ( sz00 = sz00 )
| ~ aNaturalNumber0(sz00)
| ( sdtpldt0(sz00,sz00) != sz00 ) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_103,c_100,c_103]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_74,c_87,c_74]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_107,c_100,c_107,c_145]) ).
tcf(c_542,plain,
sdtsldt0(sdtasdt0(xl,xq),xl) = xq,
inference(demodulation,[status(thm)],[c_64,c_63]) ).
tcf(c_543,plain,
sdtasdt0(xl,xq) = sdtpldt0(xm,sK2),
inference(demodulation,[status(thm)],[c_66,c_63]) ).
tcf(c_544,plain,
doDivides0(xl,sdtasdt0(xl,xq)),
inference(demodulation,[status(thm)],[c_57,c_63]) ).
tcf(c_545,plain,
sdtlseqdt0(xm,sdtasdt0(xl,xq)),
inference(demodulation,[status(thm)],[c_67,c_63]) ).
tcf(c_546,plain,
sdtasdt0(xl,sK1) = sdtasdt0(xl,xq),
inference(light_normalisation,[status(thm)],[c_56,c_63]) ).
tcf(c_1609,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_1611,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1612,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2492,plain,
sdtpldt0(xp,sz00) = xp,
inference(superposition,[status(thm)],[c_59,c_83]) ).
tcf(c_2493,plain,
sdtpldt0(xq,sz00) = xq,
inference(superposition,[status(thm)],[c_62,c_83]) ).
tcf(c_2501,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_50,c_84]) ).
tcf(c_2505,plain,
sdtpldt0(sz00,xp) = xp,
inference(superposition,[status(thm)],[c_59,c_84]) ).
tcf(c_2506,plain,
sdtpldt0(sz00,xq) = xq,
inference(superposition,[status(thm)],[c_62,c_84]) ).
tcf(c_2518,plain,
sdtasdt0(xp,sz00) = sz00,
inference(superposition,[status(thm)],[c_59,c_96]) ).
tcf(c_2531,plain,
sdtasdt0(sz00,xp) = sz00,
inference(superposition,[status(thm)],[c_59,c_97]) ).
tcf(c_2542,plain,
( aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_543,c_87]) ).
tcf(c_2549,plain,
aNaturalNumber0(sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_2542,c_65,c_50]) ).
tcf(c_2568,plain,
sdtpldt0(sz00,sdtasdt0(xl,xq)) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_2549,c_84]) ).
tcf(c_2630,plain,
( sdtlseqdt0(xp,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2492,c_148]) ).
tcf(c_2636,plain,
( sdtlseqdt0(xq,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2493,c_148]) ).
tcf(c_2639,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2501,c_148]) ).
tcf(c_2645,plain,
sdtlseqdt0(sz00,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_2639,c_106,c_50]) ).
tcf(c_2648,plain,
sdtlseqdt0(xq,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_2636,c_62,c_106]) ).
tcf(c_2654,plain,
sdtlseqdt0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_2630,c_59,c_106]) ).
tcf(c_2667,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_111,c_69]) ).
tcf(c_2671,plain,
sdtlseqdt0(xq,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_2667,c_62,c_59]) ).
tcf(c_2723,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_86]) ).
tcf(c_2726,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_86]) ).
tcf(c_2799,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xl) = sdtasdt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_99]) ).
tcf(c_2923,plain,
! [X0: $i] :
( sdtlseqdt0(xp,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_2924,plain,
( sdtlseqdt0(xp,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xp,sz00)
| ~ sdtlseqdt0(sz00,xq) ),
inference(instantiation,[status(thm)],[c_2923]) ).
tcf(c_2932,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2505,c_148]) ).
tcf(c_2934,plain,
sdtlseqdt0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_2932,c_59,c_106]) ).
tcf(c_2935,plain,
( sdtlseqdt0(sz00,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2506,c_148]) ).
tcf(c_2937,plain,
sdtlseqdt0(sz00,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_2935,c_62,c_106]) ).
tcf(c_2990,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_543,c_77]) ).
tcf(c_3008,plain,
( ( xm = sz00 )
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2990,c_65,c_50]) ).
tcf(c_3068,plain,
( ( sdtpldt0(xq,sK3(xq,xq)) = xq )
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_2648,c_76]) ).
tcf(c_3074,plain,
( ( sdtpldt0(xq,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_2671,c_76]) ).
tcf(c_3080,plain,
sdtpldt0(xq,sK3(xq,xq)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_3068,c_62]) ).
tcf(c_3094,plain,
sdtpldt0(xq,sK3(xq,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_3074,c_62,c_59]) ).
tcf(c_3119,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(X2,X1)
| ( xp != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_1617]) ).
tcf(c_3120,plain,
( sdtlseqdt0(xp,sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ( xp != sz00 )
| ( sz00 != sz00 ) ),
inference(instantiation,[status(thm)],[c_3119]) ).
tcf(c_3123,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_3192,plain,
! [X0: $i] :
( aNaturalNumber0(sdtpldt0(xp,X0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_3258,plain,
xp = xp,
inference(instantiation,[status(thm)],[c_1609]) ).
tcf(c_3260,plain,
! [X0: $i,X1: $i] :
( ( xp = X0 )
| ( xp != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_1611]) ).
tcf(c_3337,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00) ),
inference(superposition,[status(thm)],[c_2645,c_113]) ).
tcf(c_3363,plain,
( ( xm = sz00 )
| ~ sdtlseqdt0(xm,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3337,c_106,c_50]) ).
tcf(c_3403,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtsldt0(sdtasdt0(xl,X0),xl) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_155]) ).
tcf(c_3439,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xl,X0),xl) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3403,c_58]) ).
tcf(c_3677,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2937,c_112]) ).
tcf(c_3678,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2934,c_112]) ).
tcf(c_3684,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3678,c_59,c_106]) ).
tcf(c_3688,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3677,c_62,c_106]) ).
tcf(c_3883,plain,
( ( sz00 = xp )
| ( xl = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_60,c_93]) ).
tcf(c_3901,plain,
( ( sz00 = xp )
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3883,c_58,c_59,c_49]) ).
tcf(c_4263,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2568,c_148]) ).
tcf(c_4265,plain,
sdtlseqdt0(sz00,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_4263,c_106,c_2549]) ).
tcf(c_4375,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(xp,X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(xp,X0))
| ~ sdtlseqdt0(X1,sdtpldt0(xp,X0))
| ~ sdtlseqdt0(sdtpldt0(xp,X0),X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_4435,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_2492,c_79]) ).
tcf(c_4452,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(xq,X0) != xp ) ),
inference(superposition,[status(thm)],[c_3094,c_79]) ).
tcf(c_4518,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4435,c_59,c_106]) ).
tcf(c_4530,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(xq,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4452,c_62]) ).
tcf(c_4864,plain,
( ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_4265,c_113]) ).
tcf(c_4867,plain,
( ( sdtasdt0(xl,xq) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4864,c_106,c_2549]) ).
tcf(c_5646,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_3094,c_71]) ).
tcf(c_5650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2492,c_71]) ).
tcf(c_5663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_2505,c_71]) ).
tcf(c_5693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5663,c_59,c_106]) ).
tcf(c_5758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5650,c_59,c_106]) ).
tcf(c_5874,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5646,c_62]) ).
tcf(c_6289,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_111,c_5874]) ).
tcf(c_6469,plain,
( sdtlseqdt0(xp,xq)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_2493,c_6289]) ).
tcf(c_6483,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6469,c_69,c_106]) ).
tcf(c_6569,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_6483,c_112]) ).
tcf(c_6572,plain,
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_6483,c_76]) ).
tcf(c_6579,plain,
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6572,c_106]) ).
tcf(c_6583,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6569,c_106]) ).
tcf(c_6606,plain,
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_75,c_6579]) ).
tcf(c_6607,plain,
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6606,c_62,c_59,c_2671]) ).
tcf(c_6622,plain,
( aNaturalNumber0(sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_6607,c_87]) ).
tcf(c_6623,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(sz00,X0) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_6607,c_79]) ).
tcf(c_6624,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X0))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(sz00,sK3(xq,xp)),X0) ),
inference(superposition,[status(thm)],[c_6607,c_71]) ).
tcf(c_6628,plain,
( aNaturalNumber0(sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6622,c_106]) ).
tcf(c_6649,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(sz00,X0) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6623,c_106]) ).
tcf(c_6662,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X0))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(sz00,sK3(xq,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6624,c_106]) ).
tcf(c_6734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))),sK3(xq,xp))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_6607,c_73]) ).
tcf(c_6970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))),sK3(xq,xp))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6734,c_106]) ).
tcf(c_7136,plain,
! [X0: $i] :
( ( xp = X0 )
| ( xp != xp )
| ( X0 != xp ) ),
inference(instantiation,[status(thm)],[c_3260]) ).
tcf(c_7137,plain,
( ( xp = sz00 )
| ( xp != xp )
| ( sz00 != xp ) ),
inference(instantiation,[status(thm)],[c_7136]) ).
tcf(c_7446,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(xp,X1)
| ( xp != xp )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_3119]) ).
tcf(c_7603,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_2518,c_90]) ).
tcf(c_7711,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7603,c_59,c_106]) ).
tcf(c_8024,plain,
! [X0: $i] :
( ( sK3(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ( sdtpldt0(xq,X0) != xq ) ),
inference(superposition,[status(thm)],[c_3080,c_79]) ).
tcf(c_8029,plain,
( sdtlseqdt0(xp,xq)
| sdtlseqdt0(sK3(xq,xq),sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_3080,c_6289]) ).
tcf(c_8041,plain,
! [X0: $i] :
( ( sK3(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ( sdtpldt0(xq,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8024,c_62]) ).
tcf(c_8058,plain,
( sdtlseqdt0(sK3(xq,xq),sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8029,c_69]) ).
tcf(c_8075,plain,
( ( sK3(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xq))
| ( sdtpldt0(xq,sz00) != xq ) ),
inference(instantiation,[status(thm)],[c_8041]) ).
tcf(c_8172,plain,
( ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtpldt0(sK3(xq,xq),sK3(sK3(xq,xq),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_8058,c_76]) ).
tcf(c_8430,plain,
( ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtpldt0(sK3(xq,xq),sK3(sK3(xq,xq),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_75,c_8172]) ).
tcf(c_8431,plain,
( ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtpldt0(sK3(xq,xq),sK3(sK3(xq,xq),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8430,c_62,c_2648]) ).
tcf(c_8448,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_6583,c_112]) ).
tcf(c_8450,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_6583,c_113]) ).
tcf(c_8755,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_2531,c_92]) ).
tcf(c_8857,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8755,c_59,c_106]) ).
tcf(c_9602,plain,
( ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtpldt0(sK3(xq,xq),sK3(sK3(xq,xq),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_75,c_8431]) ).
tcf(c_9603,plain,
( ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtpldt0(sK3(xq,xq),sK3(sK3(xq,xq),sK3(xq,xp))) = sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9602,c_62,c_59,c_2671]) ).
tcf(c_9629,plain,
( ( sK3(xq,xq) = sz00 )
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(sK3(xq,xq),sK3(xq,xp)))
| ( sK3(xq,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_9603,c_77]) ).
tcf(c_10828,plain,
! [X0: $i] :
( ( sdtpldt0(xp,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ~ sdtlseqdt0(sdtpldt0(xp,X0),xp) ),
inference(instantiation,[status(thm)],[c_4375]) ).
tcf(c_12139,plain,
( ( sK3(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xq)) ),
inference(global_subsumption_just,[status(thm)],[c_9629,c_106,c_2493,c_8075]) ).
tcf(c_12145,plain,
( ( sK3(xq,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,xq) ),
inference(superposition,[status(thm)],[c_75,c_12139]) ).
tcf(c_12146,plain,
sK3(xq,xq) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_12145,c_62,c_2648]) ).
tcf(c_14937,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ( X0 = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_6970,c_59,c_3123,c_3192,c_4518,c_5758,c_10828]) ).
tcf(c_14938,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(renaming,[status(thm)],[c_14937]) ).
tcf(c_14948,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_14938]) ).
tcf(c_14962,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14948,c_106]) ).
tcf(c_16195,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X0))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_111,c_6662]) ).
tcf(c_26438,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X1))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_16195,c_112]) ).
tcf(c_26452,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_16195,c_8448]) ).
tcf(c_26457,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_16195,c_8450]) ).
tcf(c_26821,plain,
! [X0: $i] :
( ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(X0)
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ( sK3(xq,xp) = sz00 )
| sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_26452,c_6628,c_6649,c_26457]) ).
tcf(c_26822,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(renaming,[status(thm)],[c_26821]) ).
tcf(c_26842,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(sz00,sK3(xq,xp)),X0) ),
inference(superposition,[status(thm)],[c_26822,c_113]) ).
tcf(c_37087,plain,
sdtpldt0(xq,sz00) = xq,
inference(superposition,[status(thm)],[c_62,c_83]) ).
tcf(c_37390,plain,
( sdtlseqdt0(xq,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_37087,c_148]) ).
tcf(c_37395,plain,
sdtlseqdt0(xq,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_37390,c_62,c_106]) ).
tcf(c_37411,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_111,c_69]) ).
tcf(c_37415,plain,
sdtlseqdt0(xq,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_37411,c_62,c_59]) ).
tcf(c_37603,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK3(X0,X1)) = sK3(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_84]) ).
tcf(c_37604,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),sz00) = sK3(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_83]) ).
tcf(c_37672,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK3(X0,X1),X2) = sdtpldt0(X2,sK3(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_86]) ).
tcf(c_38167,plain,
( ( sdtpldt0(xq,sK3(xq,xq)) = xq )
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_37395,c_76]) ).
tcf(c_38173,plain,
( ( sdtpldt0(xq,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_37415,c_76]) ).
tcf(c_38175,plain,
sdtpldt0(xq,sK3(xq,xq)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_38167,c_62]) ).
tcf(c_38185,plain,
sdtpldt0(xq,sK3(xq,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_38173,c_62,c_59]) ).
tcf(c_38231,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_38185,c_77]) ).
tcf(c_38234,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38231,c_62]) ).
tcf(c_38242,plain,
sz00 != xp,
inference(global_subsumption_just,[status(thm)],[c_38234,c_106,c_62,c_59,c_69,c_115,c_117,c_128,c_2924,c_2937,c_3120,c_3258,c_7137]) ).
tcf(c_38482,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtsldt0(sdtasdt0(xp,X0),xp) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_155]) ).
tcf(c_38498,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,X0),xp) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38482,c_38242]) ).
tcf(c_38582,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xp,sK3(X0,X1)),xp) = sK3(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_38498]) ).
tcf(c_38675,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_37415,c_112]) ).
tcf(c_38691,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38675,c_62,c_59]) ).
tcf(c_38851,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_38691]) ).
tcf(c_38853,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38851,c_62]) ).
tcf(c_38869,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38853,c_76]) ).
tcf(c_38870,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38869,c_59]) ).
tcf(c_40185,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_38185,c_71]) ).
tcf(c_40479,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40185,c_62]) ).
tcf(c_40767,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_111,c_40479]) ).
tcf(c_40899,plain,
( sdtlseqdt0(xp,xq)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_37087,c_40767]) ).
tcf(c_40900,plain,
( sdtlseqdt0(xp,xq)
| sdtlseqdt0(sK3(xq,xq),sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_38175,c_40767]) ).
tcf(c_40916,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40899,c_69,c_106]) ).
tcf(c_40926,plain,
( sdtlseqdt0(sK3(xq,xq),sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40900,c_69]) ).
tcf(c_41553,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_40916,c_112]) ).
tcf(c_41557,plain,
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_40916,c_76]) ).
tcf(c_41564,plain,
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41557,c_106]) ).
tcf(c_41568,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41553,c_106]) ).
tcf(c_41629,plain,
( ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xq),sK3(xq,xp))),xp) = sK3(sK3(xq,xq),sK3(xq,xp)) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_40926,c_38582]) ).
tcf(c_42085,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_46526,plain,
sdtpldt0(xn,xp) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_59,c_2723]) ).
tcf(c_48657,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_46526,c_77]) ).
tcf(c_48659,plain,
( aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_46526,c_87]) ).
tcf(c_48666,plain,
aNaturalNumber0(sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_48659,c_59,c_51]) ).
tcf(c_48669,plain,
( ( sz00 = xp )
| ( sdtpldt0(xn,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48657,c_59,c_51]) ).
tcf(c_48801,plain,
sdtpldt0(sz00,sdtpldt0(xn,xp)) = sdtpldt0(xn,xp),
inference(superposition,[status(thm)],[c_48666,c_84]) ).
tcf(c_48837,plain,
( ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xq),sK3(xq,xp))),xp) = sK3(sK3(xq,xq),sK3(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_75,c_41629]) ).
tcf(c_48838,plain,
( ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xq),sK3(xq,xp))),xp) = sK3(sK3(xq,xq),sK3(xq,xp)) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48837,c_62,c_37395]) ).
tcf(c_48855,plain,
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) ) ),
inference(global_subsumption_just,[status(thm)],[c_41564,c_6607]) ).
tcf(c_49183,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_41568,c_112]) ).
tcf(c_53993,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_38870,c_49183]) ).
tcf(c_54090,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53993,c_62]) ).
tcf(c_54184,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_48801,c_148]) ).
tcf(c_54214,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_54184,c_106,c_48666]) ).
tcf(c_54491,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_54214,c_113]) ).
tcf(c_54494,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54491,c_106,c_48666]) ).
tcf(c_68962,plain,
sdtpldt0(xp,sK2) = sdtpldt0(sK2,xp),
inference(superposition,[status(thm)],[c_65,c_2726]) ).
tcf(c_69656,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK2) != sz00 ) ),
inference(superposition,[status(thm)],[c_68962,c_78]) ).
tcf(c_69659,plain,
( aNaturalNumber0(sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_68962,c_87]) ).
tcf(c_69666,plain,
aNaturalNumber0(sdtpldt0(xp,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_69659,c_65,c_59]) ).
tcf(c_69674,plain,
( ( sz00 = xp )
| ( sdtpldt0(xp,sK2) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69656,c_65,c_59]) ).
tcf(c_69759,plain,
sdtpldt0(sz00,sdtpldt0(xp,sK2)) = sdtpldt0(xp,sK2),
inference(superposition,[status(thm)],[c_69666,c_84]) ).
tcf(c_72392,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_69759,c_148]) ).
tcf(c_72423,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_72392,c_106,c_69666]) ).
tcf(c_72934,plain,
( ( sdtpldt0(xp,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),sz00) ),
inference(superposition,[status(thm)],[c_72423,c_113]) ).
tcf(c_72937,plain,
( ( sdtpldt0(xp,sK2) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72934,c_106,c_69666]) ).
tcf(c_75290,plain,
sdtasdt0(xl,xp) = sdtasdt0(xp,xl),
inference(superposition,[status(thm)],[c_59,c_2799]) ).
tcf(c_75291,plain,
sdtasdt0(xl,xq) = sdtasdt0(xq,xl),
inference(superposition,[status(thm)],[c_62,c_2799]) ).
tcf(c_75337,plain,
sdtasdt0(xp,xl) = xm,
inference(light_normalisation,[status(thm)],[c_75290,c_60]) ).
tcf(c_75603,plain,
( sdtlseqdt0(xp,xm)
| ( xl = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_75337,c_88]) ).
tcf(c_75608,plain,
sdtlseqdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_75603,c_58,c_59,c_49]) ).
tcf(c_75695,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_75608,c_112]) ).
tcf(c_75699,plain,
( ( xm = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xp) ),
inference(superposition,[status(thm)],[c_75608,c_113]) ).
tcf(c_75706,plain,
( ( xm = xp )
| ~ sdtlseqdt0(xm,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75699,c_59,c_50]) ).
tcf(c_75709,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75695,c_59,c_50]) ).
tcf(c_77779,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xq))
| ( xl = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_75291,c_88]) ).
tcf(c_77784,plain,
sdtlseqdt0(xq,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_77779,c_58,c_62,c_49]) ).
tcf(c_79992,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_80699,plain,
( sdtlseqdt0(xq,xm)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_2671,c_75709]) ).
tcf(c_80765,plain,
sdtlseqdt0(xq,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_80699,c_62]) ).
tcf(c_81086,plain,
( ( sdtpldt0(xq,sK3(xq,xm)) = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_80765,c_76]) ).
tcf(c_81087,plain,
sdtpldt0(xq,sK3(xq,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_81086,c_62,c_50]) ).
tcf(c_81211,plain,
( ( sK3(xq,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xm))
| ( xm != xp ) ),
inference(superposition,[status(thm)],[c_81087,c_4530]) ).
tcf(c_94030,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(global_subsumption_just,[status(thm)],[c_54090,c_59,c_3684,c_42085]) ).
tcf(c_133790,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_6583,c_26438]) ).
tcf(c_138262,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(xp,xp)
| ( xp != xp )
| ( X0 != xp ) ),
inference(instantiation,[status(thm)],[c_7446]) ).
tcf(c_139296,plain,
( ( sdtpldt0(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_37415,c_37603]) ).
tcf(c_139334,plain,
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,sK3(xq,xp))) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_40916,c_37603]) ).
tcf(c_139385,plain,
sdtpldt0(sz00,sK3(xq,xp)) = sK3(xq,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_139296,c_62,c_59]) ).
tcf(c_139463,plain,
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,sK3(xq,xp))) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139334,c_106]) ).
tcf(c_139919,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_133790,c_6628,c_133790]) ).
tcf(c_139935,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_139919,c_112]) ).
tcf(c_141333,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_6583,c_139935]) ).
tcf(c_145181,plain,
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,sK3(xq,xp))) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_75,c_139463]) ).
tcf(c_145182,plain,
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,sK3(xq,xp))) = sK3(sz00,sK3(xq,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145181,c_62,c_59,c_37415]) ).
tcf(c_145221,plain,
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_145182,c_48855]) ).
tcf(c_145309,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_139385,c_148]) ).
tcf(c_145311,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_139385,c_73]) ).
tcf(c_145312,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(sz00,X0) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_139385,c_79]) ).
tcf(c_145316,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(X0,sK3(xq,xp)) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_139385,c_80]) ).
tcf(c_145332,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145309,c_106]) ).
tcf(c_145344,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(X0,sK3(xq,xp)) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145316,c_106]) ).
tcf(c_145349,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(sz00,X0) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145312,c_106]) ).
tcf(c_145354,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145311,c_106]) ).
tcf(c_145709,plain,
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) ) ),
inference(global_subsumption_just,[status(thm)],[c_141333,c_145221]) ).
tcf(c_145789,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_145709,c_26842]) ).
tcf(c_146495,plain,
( ( sdtpldt0(sK3(xq,xp),sz00) = sK3(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_37415,c_37604]) ).
tcf(c_146580,plain,
sdtpldt0(sK3(xq,xp),sz00) = sK3(xq,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_146495,c_62,c_59]) ).
tcf(c_154810,plain,
( sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_146580,c_148]) ).
tcf(c_154821,plain,
( sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_154810,c_106]) ).
tcf(c_162325,plain,
! [X0: $i] :
( ( sdtpldt0(sK3(xq,xp),X0) = sdtpldt0(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37415,c_37672]) ).
tcf(c_162436,plain,
! [X0: $i] :
( ( sdtpldt0(sK3(xq,xp),X0) = sdtpldt0(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_162325,c_62,c_59]) ).
tcf(c_171469,plain,
sdtpldt0(sK3(xq,xp),xq) = sdtpldt0(xq,sK3(xq,xp)),
inference(superposition,[status(thm)],[c_62,c_162436]) ).
tcf(c_171489,plain,
sdtpldt0(sK3(xq,xp),xq) = xp,
inference(light_normalisation,[status(thm)],[c_171469,c_38185]) ).
tcf(c_198318,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_171489,c_148]) ).
tcf(c_198329,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198318,c_62]) ).
tcf(c_216360,plain,
sdtsldt0(sdtasdt0(xl,sK0),xl) = sK0,
inference(superposition,[status(thm)],[c_52,c_3439]) ).
tcf(c_216361,plain,
sdtsldt0(sdtasdt0(xl,sK1),xl) = sK1,
inference(superposition,[status(thm)],[c_55,c_3439]) ).
tcf(c_216462,plain,
sK1 = xq,
inference(light_normalisation,[status(thm)],[c_216361,c_542,c_546]) ).
tcf(c_216463,plain,
sK0 = xp,
inference(light_normalisation,[status(thm)],[c_216360,c_53,c_61]) ).
tcf(c_247972,plain,
sdtpldt0(xl,sz00) = xl,
inference(superposition,[status(thm)],[c_49,c_83]) ).
tcf(c_247973,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_50,c_83]) ).
tcf(c_247974,plain,
sdtpldt0(xn,sz00) = xn,
inference(superposition,[status(thm)],[c_51,c_83]) ).
tcf(c_247975,plain,
sdtpldt0(xp,sz00) = xp,
inference(superposition,[status(thm)],[c_59,c_83]) ).
tcf(c_247976,plain,
sdtpldt0(xq,sz00) = xq,
inference(superposition,[status(thm)],[c_62,c_83]) ).
tcf(c_247977,plain,
sdtpldt0(sK2,sz00) = sK2,
inference(superposition,[status(thm)],[c_65,c_83]) ).
tcf(c_247978,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_106,c_83]) ).
tcf(c_247983,plain,
sdtpldt0(sz00,xl) = xl,
inference(superposition,[status(thm)],[c_49,c_84]) ).
tcf(c_247984,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_50,c_84]) ).
tcf(c_247985,plain,
sdtpldt0(sz00,xn) = xn,
inference(superposition,[status(thm)],[c_51,c_84]) ).
tcf(c_247986,plain,
sdtpldt0(sz00,xp) = xp,
inference(superposition,[status(thm)],[c_59,c_84]) ).
tcf(c_247987,plain,
sdtpldt0(sz00,xq) = xq,
inference(superposition,[status(thm)],[c_62,c_84]) ).
tcf(c_247988,plain,
sdtpldt0(sz00,sK2) = sK2,
inference(superposition,[status(thm)],[c_65,c_84]) ).
tcf(c_247994,plain,
sdtasdt0(xl,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_96]) ).
tcf(c_247995,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_96]) ).
tcf(c_247996,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_96]) ).
tcf(c_247997,plain,
sdtasdt0(xp,sz00) = sz00,
inference(superposition,[status(thm)],[c_59,c_96]) ).
tcf(c_247998,plain,
sdtasdt0(xq,sz00) = sz00,
inference(superposition,[status(thm)],[c_62,c_96]) ).
tcf(c_247999,plain,
sdtasdt0(sK2,sz00) = sz00,
inference(superposition,[status(thm)],[c_65,c_96]) ).
tcf(c_248000,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_106,c_96]) ).
tcf(c_248005,plain,
sdtasdt0(sz00,xl) = sz00,
inference(superposition,[status(thm)],[c_49,c_97]) ).
tcf(c_248006,plain,
sdtasdt0(sz00,xm) = sz00,
inference(superposition,[status(thm)],[c_50,c_97]) ).
tcf(c_248007,plain,
sdtasdt0(sz00,xn) = sz00,
inference(superposition,[status(thm)],[c_51,c_97]) ).
tcf(c_248008,plain,
sdtasdt0(sz00,xp) = sz00,
inference(superposition,[status(thm)],[c_59,c_97]) ).
tcf(c_248009,plain,
sdtasdt0(sz00,xq) = sz00,
inference(superposition,[status(thm)],[c_62,c_97]) ).
tcf(c_248010,plain,
sdtasdt0(sz00,sK2) = sz00,
inference(superposition,[status(thm)],[c_65,c_97]) ).
tcf(c_248012,plain,
( ~ aNaturalNumber0(sz00)
| ( xp != xq ) ),
inference(superposition,[status(thm)],[c_247975,c_68]) ).
tcf(c_248013,plain,
xp != xq,
inference(forward_subsumption_resolution,[status(thm)],[c_248012,c_106]) ).
tcf(c_248021,plain,
( aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_543,c_87]) ).
tcf(c_248034,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87,c_97]) ).
tcf(c_248035,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87,c_96]) ).
tcf(c_248036,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87,c_84]) ).
tcf(c_248037,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87,c_83]) ).
tcf(c_248038,plain,
aNaturalNumber0(sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_248021,c_65,c_50]) ).
tcf(c_248058,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_97]) ).
tcf(c_248059,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_96]) ).
tcf(c_248060,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_84]) ).
tcf(c_248061,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_83]) ).
tcf(c_248089,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_247978,c_148]) ).
tcf(c_248090,plain,
( sdtlseqdt0(xp,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_247975,c_148]) ).
tcf(c_248091,plain,
( sdtlseqdt0(xl,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_247972,c_148]) ).
tcf(c_248092,plain,
( sdtlseqdt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_247973,c_148]) ).
tcf(c_248093,plain,
( sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_247974,c_148]) ).
tcf(c_248094,plain,
( sdtlseqdt0(xq,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_247976,c_148]) ).
tcf(c_248095,plain,
( sdtlseqdt0(sK2,sK2)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_247977,c_148]) ).
tcf(c_248096,plain,
( sdtlseqdt0(sz00,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_247983,c_148]) ).
tcf(c_248097,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_247984,c_148]) ).
tcf(c_248098,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_247985,c_148]) ).
tcf(c_248099,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_247986,c_148]) ).
tcf(c_248100,plain,
( sdtlseqdt0(sz00,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_247987,c_148]) ).
tcf(c_248101,plain,
sdtlseqdt0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_248089,c_106]) ).
tcf(c_248102,plain,
sdtlseqdt0(sz00,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_248100,c_62,c_106]) ).
tcf(c_248103,plain,
sdtlseqdt0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_248099,c_59,c_106]) ).
tcf(c_248104,plain,
sdtlseqdt0(sz00,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_248098,c_106,c_51]) ).
tcf(c_248105,plain,
sdtlseqdt0(sz00,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_248097,c_106,c_50]) ).
tcf(c_248106,plain,
sdtlseqdt0(sz00,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_248096,c_106,c_49]) ).
tcf(c_248107,plain,
sdtlseqdt0(sK2,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_248095,c_65,c_106]) ).
tcf(c_248108,plain,
sdtlseqdt0(xq,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_248094,c_62,c_106]) ).
tcf(c_248109,plain,
sdtlseqdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_248093,c_106,c_51]) ).
tcf(c_248110,plain,
sdtlseqdt0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_248092,c_106,c_50]) ).
tcf(c_248111,plain,
sdtlseqdt0(xl,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_248091,c_106,c_49]) ).
tcf(c_248112,plain,
sdtlseqdt0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_248090,c_59,c_106]) ).
tcf(c_248113,plain,
( sdtlseqdt0(sz00,sK2)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_247988,c_148]) ).
tcf(c_248115,plain,
sdtlseqdt0(sz00,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_248113,c_65,c_106]) ).
tcf(c_248124,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_111,c_69]) ).
tcf(c_248128,plain,
sdtlseqdt0(xq,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_248124,c_62,c_59]) ).
tcf(c_248137,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK3(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_97]) ).
tcf(c_248138,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK3(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_96]) ).
tcf(c_248139,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK3(X0,X1)) = sK3(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_84]) ).
tcf(c_248140,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),sz00) = sK3(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_83]) ).
tcf(c_248163,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xl) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_86]) ).
tcf(c_248164,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_86]) ).
tcf(c_248165,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_86]) ).
tcf(c_248166,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_86]) ).
tcf(c_248167,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xq) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62,c_86]) ).
tcf(c_248168,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK2) = sdtpldt0(sK2,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65,c_86]) ).
tcf(c_248169,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_87,c_86]) ).
tcf(c_248170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK3(X0,X1),X2) = sdtpldt0(X2,sK3(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_86]) ).
tcf(c_248171,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_100,c_86]) ).
tcf(c_248172,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_86]) ).
tcf(c_248206,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xl) = sdtasdt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_99]) ).
tcf(c_248207,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_99]) ).
tcf(c_248208,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_99]) ).
tcf(c_248209,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_99]) ).
tcf(c_248210,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xq) = sdtasdt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62,c_99]) ).
tcf(c_248211,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK2) = sdtasdt0(sK2,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65,c_99]) ).
tcf(c_248212,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_87,c_99]) ).
tcf(c_248213,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK3(X0,X1),X2) = sdtasdt0(X2,sK3(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_99]) ).
tcf(c_248214,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_100,c_99]) ).
tcf(c_248215,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_99]) ).
tcf(c_248243,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xq),X0) = sdtasdt0(X0,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_248038,c_99]) ).
tcf(c_248244,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,xq),X0) = sdtpldt0(X0,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_248038,c_86]) ).
tcf(c_248245,plain,
sdtasdt0(sz00,sdtasdt0(xl,xq)) = sz00,
inference(superposition,[status(thm)],[c_248038,c_97]) ).
tcf(c_248246,plain,
sdtasdt0(sdtasdt0(xl,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_248038,c_96]) ).
tcf(c_248247,plain,
sdtpldt0(sz00,sdtasdt0(xl,xq)) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_248038,c_84]) ).
tcf(c_248248,plain,
sdtpldt0(sdtasdt0(xl,xq),sz00) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_248038,c_83]) ).
tcf(c_248255,plain,
( doDivides0(xl,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_247994,c_145]) ).
tcf(c_248257,plain,
doDivides0(xl,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_248255,c_106,c_49]) ).
tcf(c_248260,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_247995,c_145]) ).
tcf(c_248262,plain,
doDivides0(xm,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_248260,c_106,c_50]) ).
tcf(c_248263,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_247996,c_145]) ).
tcf(c_248265,plain,
doDivides0(xn,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_248263,c_106,c_51]) ).
tcf(c_248266,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_247997,c_145]) ).
tcf(c_248268,plain,
doDivides0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_248266,c_59,c_106]) ).
tcf(c_248273,plain,
( doDivides0(xq,sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_247998,c_145]) ).
tcf(c_248275,plain,
doDivides0(xq,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_248273,c_62,c_106]) ).
tcf(c_248276,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_248008,c_145]) ).
tcf(c_248278,plain,
doDivides0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_248276,c_59,c_106]) ).
tcf(c_248287,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK4(X0,X1),X2) = sdtasdt0(X2,sK4(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_99]) ).
tcf(c_248288,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK4(X0,X1),X2) = sdtpldt0(X2,sK4(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_86]) ).
tcf(c_248289,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK4(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_97]) ).
tcf(c_248290,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK4(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_96]) ).
tcf(c_248291,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK4(X0,X1)) = sK4(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_84]) ).
tcf(c_248292,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK4(X0,X1),sz00) = sK4(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_83]) ).
tcf(c_248329,plain,
( sdtlseqdt0(xl,xm)
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60,c_88]) ).
tcf(c_248336,plain,
sdtlseqdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_248329,c_38242,c_59,c_49]) ).
tcf(c_248349,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_63,c_77]) ).
tcf(c_248350,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_543,c_77]) ).
tcf(c_248364,plain,
( ( xm = sz00 )
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248350,c_65,c_50]) ).
tcf(c_248376,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_63,c_78]) ).
tcf(c_248377,plain,
( ( sz00 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_543,c_78]) ).
tcf(c_248391,plain,
( ( sz00 = sK2 )
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248377,c_65,c_50]) ).
tcf(c_248394,plain,
( ( xn = sz00 )
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248376,c_51,c_50]) ).
tcf(c_248398,plain,
( doDivides0(sK2,sz00)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_247999,c_145]) ).
tcf(c_248401,plain,
doDivides0(sK2,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_248398,c_65,c_106]) ).
tcf(c_248426,plain,
( doDivides0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_248246,c_145]) ).
tcf(c_248429,plain,
doDivides0(sdtasdt0(xl,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_248426,c_106,c_248038]) ).
tcf(c_248438,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(X0,sK3(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_76]) ).
tcf(c_248439,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK3(X0,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_148,c_76]) ).
tcf(c_248440,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(X0,sK3(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_88,c_76]) ).
tcf(c_248441,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK3(X0,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_114,c_76]) ).
tcf(c_248442,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK3(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_76]) ).
tcf(c_248443,plain,
( ( sdtpldt0(sz00,sK3(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_248101,c_76]) ).
tcf(c_248444,plain,
( ( sdtpldt0(xm,sK3(xm,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_545,c_76]) ).
tcf(c_248445,plain,
( ( sdtpldt0(xp,sK3(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_248112,c_76]) ).
tcf(c_248446,plain,
( ( sdtpldt0(xl,sK3(xl,xl)) = xl )
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_248111,c_76]) ).
tcf(c_248447,plain,
( ( sdtpldt0(xm,sK3(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_248110,c_76]) ).
tcf(c_248448,plain,
( ( sdtpldt0(xn,sK3(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_248109,c_76]) ).
tcf(c_248449,plain,
( ( sdtpldt0(xq,sK3(xq,xq)) = xq )
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_248108,c_76]) ).
tcf(c_248450,plain,
( ( sdtpldt0(sK2,sK3(sK2,sK2)) = sK2 )
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[status(thm)],[c_248107,c_76]) ).
tcf(c_248451,plain,
( ( sdtpldt0(sz00,sK3(sz00,xl)) = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_248106,c_76]) ).
tcf(c_248452,plain,
( ( sdtpldt0(sz00,sK3(sz00,xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_248105,c_76]) ).
tcf(c_248453,plain,
( ( sdtpldt0(sz00,sK3(sz00,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_248104,c_76]) ).
tcf(c_248454,plain,
( ( sdtpldt0(xq,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_248128,c_76]) ).
tcf(c_248455,plain,
( ( sdtpldt0(sz00,sK3(sz00,xq)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_248102,c_76]) ).
tcf(c_248456,plain,
( ( sdtpldt0(sz00,sK3(sz00,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_248103,c_76]) ).
tcf(c_248457,plain,
( ( sdtpldt0(sz00,sK3(sz00,sK2)) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_248115,c_76]) ).
tcf(c_248458,plain,
( ( sdtpldt0(xl,sK3(xl,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_248336,c_76]) ).
tcf(c_248459,plain,
sdtpldt0(sK2,sK3(sK2,sK2)) = sK2,
inference(forward_subsumption_resolution,[status(thm)],[c_248450,c_65]) ).
tcf(c_248460,plain,
sdtpldt0(xq,sK3(xq,xq)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_248449,c_62]) ).
tcf(c_248461,plain,
sdtpldt0(xn,sK3(xn,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_248448,c_51]) ).
tcf(c_248462,plain,
sdtpldt0(xm,sK3(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_248447,c_50]) ).
tcf(c_248463,plain,
sdtpldt0(xl,sK3(xl,xl)) = xl,
inference(forward_subsumption_resolution,[status(thm)],[c_248446,c_49]) ).
tcf(c_248464,plain,
sdtpldt0(xp,sK3(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_248445,c_59]) ).
tcf(c_248465,plain,
sdtpldt0(sz00,sK3(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_248443,c_106]) ).
tcf(c_248468,plain,
sdtpldt0(xl,sK3(xl,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_248458,c_50,c_49]) ).
tcf(c_248469,plain,
sdtpldt0(sz00,sK3(sz00,sK2)) = sK2,
inference(forward_subsumption_resolution,[status(thm)],[c_248457,c_65,c_106]) ).
tcf(c_248470,plain,
sdtpldt0(sz00,sK3(sz00,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_248456,c_59,c_106]) ).
tcf(c_248471,plain,
sdtpldt0(sz00,sK3(sz00,xq)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_248455,c_62,c_106]) ).
tcf(c_248472,plain,
sdtpldt0(xq,sK3(xq,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_248454,c_62,c_59]) ).
tcf(c_248473,plain,
sdtpldt0(sz00,sK3(sz00,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_248453,c_106,c_51]) ).
tcf(c_248474,plain,
sdtpldt0(sz00,sK3(sz00,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_248452,c_106,c_50]) ).
tcf(c_248475,plain,
sdtpldt0(sz00,sK3(sz00,xl)) = xl,
inference(forward_subsumption_resolution,[status(thm)],[c_248451,c_106,c_49]) ).
tcf(c_248484,plain,
sdtpldt0(xm,sK3(xm,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_248444,c_50,c_248038]) ).
tcf(c_248515,plain,
( ( sdtasdt0(xl,sK4(xl,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_54,c_105]) ).
tcf(c_248516,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK4(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_145,c_105]) ).
tcf(c_248517,plain,
( ( sdtasdt0(sz00,sK4(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_248278,c_105]) ).
tcf(c_248518,plain,
( ( sdtasdt0(xl,sK4(xl,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_544,c_105]) ).
tcf(c_248519,plain,
( ( sdtasdt0(xl,sK4(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_248257,c_105]) ).
tcf(c_248520,plain,
( ( sdtasdt0(xm,sK4(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_248262,c_105]) ).
tcf(c_248521,plain,
( ( sdtasdt0(xp,sK4(xp,sz00)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_248268,c_105]) ).
tcf(c_248522,plain,
( ( sdtasdt0(xq,sK4(xq,sz00)) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_248275,c_105]) ).
tcf(c_248523,plain,
( ( sdtasdt0(xn,sK4(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_248265,c_105]) ).
tcf(c_248524,plain,
( ( sdtasdt0(sK2,sK4(sK2,sz00)) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_248401,c_105]) ).
tcf(c_248525,plain,
sdtasdt0(sz00,sK4(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_248517,c_106]) ).
tcf(c_248526,plain,
sdtasdt0(sK2,sK4(sK2,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_248524,c_65,c_106]) ).
tcf(c_248527,plain,
sdtasdt0(xn,sK4(xn,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_248523,c_106,c_51]) ).
tcf(c_248528,plain,
sdtasdt0(xq,sK4(xq,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_248522,c_62,c_106]) ).
tcf(c_248529,plain,
sdtasdt0(xp,sK4(xp,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_248521,c_59,c_106]) ).
tcf(c_248530,plain,
sdtasdt0(xm,sK4(xm,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_248520,c_106,c_50]) ).
tcf(c_248531,plain,
sdtasdt0(xl,sK4(xl,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_248519,c_106,c_49]) ).
tcf(c_248532,plain,
sdtasdt0(xl,sK4(xl,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_248515,c_50,c_49]) ).
tcf(c_248533,plain,
sdtasdt0(xl,sK4(xl,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_248518,c_49,c_248038]) ).
tcf(c_248558,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_108,c_99]) ).
tcf(c_248559,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_108,c_86]) ).
tcf(c_248560,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_108,c_97]) ).
tcf(c_248561,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_108,c_96]) ).
tcf(c_248562,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_108,c_84]) ).
tcf(c_248563,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_108,c_83]) ).
tcf(c_248632,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_148,c_113]) ).
tcf(c_248633,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_88,c_113]) ).
tcf(c_248637,plain,
( ( sdtasdt0(xl,xq) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xm) ),
inference(superposition,[status(thm)],[c_545,c_113]) ).
tcf(c_248644,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xl,sz00) ),
inference(superposition,[status(thm)],[c_248106,c_113]) ).
tcf(c_248645,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00) ),
inference(superposition,[status(thm)],[c_248105,c_113]) ).
tcf(c_248646,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00) ),
inference(superposition,[status(thm)],[c_248104,c_113]) ).
tcf(c_248648,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00) ),
inference(superposition,[status(thm)],[c_248102,c_113]) ).
tcf(c_248649,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xp,sz00) ),
inference(superposition,[status(thm)],[c_248103,c_113]) ).
tcf(c_248650,plain,
( ( sz00 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK2,sz00) ),
inference(superposition,[status(thm)],[c_248115,c_113]) ).
tcf(c_248651,plain,
( ( xl = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xm,xl) ),
inference(superposition,[status(thm)],[c_248336,c_113]) ).
tcf(c_248652,plain,
( ( xl = xm )
| ~ sdtlseqdt0(xm,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248651,c_50,c_49]) ).
tcf(c_248655,plain,
( ( sz00 = sK2 )
| ~ sdtlseqdt0(sK2,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248650,c_65,c_106]) ).
tcf(c_248658,plain,
~ sdtlseqdt0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_248649,c_38242,c_59,c_106]) ).
tcf(c_248659,plain,
( ( sz00 = xq )
| ~ sdtlseqdt0(xq,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248648,c_62,c_106]) ).
tcf(c_248662,plain,
( ( xn = sz00 )
| ~ sdtlseqdt0(xn,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248646,c_106,c_51]) ).
tcf(c_248665,plain,
( ( xm = sz00 )
| ~ sdtlseqdt0(xm,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248645,c_106,c_50]) ).
tcf(c_248668,plain,
~ sdtlseqdt0(xl,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_248644,c_58,c_106,c_49]) ).
tcf(c_248669,plain,
( ( sdtasdt0(xl,xq) = xm )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248637,c_50,c_248038]) ).
tcf(c_248687,plain,
( ( sdtasdt0(sdtasdt0(xl,xq),sK4(sdtasdt0(xl,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_248429,c_105]) ).
tcf(c_248688,plain,
sdtasdt0(sdtasdt0(xl,xq),sK4(sdtasdt0(xl,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_248687,c_106,c_248038]) ).
tcf(c_248689,plain,
( ( sK3(sK2,sK2) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(sK2,sK2))
| ( sz00 != sK2 ) ),
inference(superposition,[status(thm)],[c_248459,c_78]) ).
tcf(c_248693,plain,
( ( sK3(sK2,sK2) = sz00 )
| ~ aNaturalNumber0(sK3(sK2,sK2))
| ( sz00 != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248689,c_65]) ).
tcf(c_248702,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xl,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_248468,c_77]) ).
tcf(c_248705,plain,
( ~ aNaturalNumber0(sK3(xl,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248702,c_58,c_49]) ).
tcf(c_248714,plain,
xm != sz00,
inference(global_subsumption_just,[status(thm)],[c_248705,c_106,c_62,c_59,c_69,c_115,c_117,c_128,c_2924,c_2937,c_3120,c_3258,c_3901,c_7137]) ).
tcf(c_248716,plain,
( ( sK3(xq,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xq))
| ( sz00 != xq ) ),
inference(superposition,[status(thm)],[c_248460,c_78]) ).
tcf(c_248720,plain,
( ( sK3(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xq))
| ( sz00 != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248716,c_62]) ).
tcf(c_248724,plain,
( ( sK3(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn,xn))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_248461,c_78]) ).
tcf(c_248728,plain,
( ( sK3(xn,xn) = sz00 )
| ~ aNaturalNumber0(sK3(xn,xn))
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248724,c_51]) ).
tcf(c_248742,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_248247,c_148]) ).
tcf(c_248744,plain,
sdtlseqdt0(sz00,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_248742,c_106,c_248038]) ).
tcf(c_248753,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtsldt0(sdtasdt0(xl,X0),xl) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_155]) ).
tcf(c_248754,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(sdtasdt0(xm,X0),xm) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_155]) ).
tcf(c_248755,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtsldt0(sdtasdt0(xn,X0),xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_155]) ).
tcf(c_248756,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtsldt0(sdtasdt0(xp,X0),xp) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_155]) ).
tcf(c_248757,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sdtsldt0(sdtasdt0(xq,X0),xq) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62,c_155]) ).
tcf(c_248758,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( sdtsldt0(sdtasdt0(sK2,X0),sK2) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65,c_155]) ).
tcf(c_248759,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_87,c_155]) ).
tcf(c_248760,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK3(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sK3(X0,X1),X2),sK3(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_155]) ).
tcf(c_248761,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_100,c_155]) ).
tcf(c_248762,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK4(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sK4(X0,X1),X2),sK4(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_155]) ).
tcf(c_248764,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_108,c_155]) ).
tcf(c_248765,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,xq),X0),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_248038,c_155]) ).
tcf(c_248772,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,X0),xp) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248756,c_38242]) ).
tcf(c_248778,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xm,X0),xm) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248754,c_248714]) ).
tcf(c_248781,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xl,X0),xl) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248753,c_58]) ).
tcf(c_248828,plain,
! [X0: $i] :
( doDivides0(xl,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(superposition,[status(thm)],[c_54,c_102]) ).
tcf(c_248829,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ doDivides0(sdtasdt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_145,c_102]) ).
tcf(c_248831,plain,
! [X0: $i] :
( doDivides0(xl,X0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ doDivides0(sdtasdt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_544,c_102]) ).
tcf(c_248832,plain,
! [X0: $i] :
( doDivides0(xl,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_248257,c_102]) ).
tcf(c_248833,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_248262,c_102]) ).
tcf(c_248834,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_248268,c_102]) ).
tcf(c_248835,plain,
! [X0: $i] :
( doDivides0(xq,X0)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_248275,c_102]) ).
tcf(c_248836,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_248265,c_102]) ).
tcf(c_248837,plain,
! [X0: $i] :
( doDivides0(sK2,X0)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_248401,c_102]) ).
tcf(c_248838,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_248429,c_102]) ).
tcf(c_248839,plain,
! [X0: $i] :
( doDivides0(sK2,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248837,c_65,c_106]) ).
tcf(c_248843,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248836,c_106,c_51]) ).
tcf(c_248847,plain,
! [X0: $i] :
( doDivides0(xq,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248835,c_62,c_106]) ).
tcf(c_248851,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248834,c_59,c_106]) ).
tcf(c_248855,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248833,c_106,c_50]) ).
tcf(c_248859,plain,
! [X0: $i] :
( doDivides0(xl,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248832,c_106,c_49]) ).
tcf(c_248863,plain,
! [X0: $i] :
( doDivides0(xl,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248828,c_50,c_49]) ).
tcf(c_248867,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248838,c_106,c_248038]) ).
tcf(c_248871,plain,
! [X0: $i] :
( doDivides0(xl,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248831,c_49,c_248038]) ).
tcf(c_248914,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_148,c_112]) ).
tcf(c_248915,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_88,c_112]) ).
tcf(c_248917,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_111,c_112]) ).
tcf(c_248919,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_545,c_112]) ).
tcf(c_248926,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_248106,c_112]) ).
tcf(c_248927,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_248105,c_112]) ).
tcf(c_248928,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_248104,c_112]) ).
tcf(c_248929,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_248128,c_112]) ).
tcf(c_248930,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_248102,c_112]) ).
tcf(c_248931,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_248103,c_112]) ).
tcf(c_248932,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_248115,c_112]) ).
tcf(c_248933,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_248336,c_112]) ).
tcf(c_248934,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248933,c_50,c_49]) ).
tcf(c_248938,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248932,c_65,c_106]) ).
tcf(c_248942,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248931,c_59,c_106]) ).
tcf(c_248946,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248930,c_62,c_106]) ).
tcf(c_248950,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248929,c_62,c_59]) ).
tcf(c_248954,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248928,c_106,c_51]) ).
tcf(c_248958,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248927,c_106,c_50]) ).
tcf(c_248962,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248926,c_106,c_49]) ).
tcf(c_248972,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_248919,c_50,c_248038]) ).
tcf(c_248997,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xl,X1),X0) = sdtpldt0(xl,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_85]) ).
tcf(c_248998,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xm,X1),X0) = sdtpldt0(xm,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_85]) ).
tcf(c_248999,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xn,X1),X0) = sdtpldt0(xn,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_85]) ).
tcf(c_249000,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xp,X1),X0) = sdtpldt0(xp,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_85]) ).
tcf(c_249001,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xq,X1),X0) = sdtpldt0(xq,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62,c_85]) ).
tcf(c_249002,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK2,X1),X0) = sdtpldt0(sK2,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65,c_85]) ).
tcf(c_249003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X3),X2) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87,c_85]) ).
tcf(c_249004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK3(X0,X1),X3),X2) = sdtpldt0(sK3(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_85]) ).
tcf(c_249005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X3),X2) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_85]) ).
tcf(c_249006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK4(X0,X1),X3),X2) = sdtpldt0(sK4(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_85]) ).
tcf(c_249007,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X1),X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_85]) ).
tcf(c_249008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(X1,X0),X3),X2) = sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_108,c_85]) ).
tcf(c_249009,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,xq),X1),X0) = sdtpldt0(sdtasdt0(xl,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_248038,c_85]) ).
tcf(c_249070,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_248744,c_112]) ).
tcf(c_249071,plain,
( ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_248744,c_113]) ).
tcf(c_249072,plain,
( ( sdtpldt0(sz00,sK3(sz00,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_248744,c_76]) ).
tcf(c_249073,plain,
sdtpldt0(sz00,sK3(sz00,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_249072,c_106,c_248038]) ).
tcf(c_249074,plain,
( ( sdtasdt0(xl,xq) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249071,c_106,c_248038]) ).
tcf(c_249077,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249070,c_106,c_248038]) ).
tcf(c_249093,plain,
( ( sK3(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_248465,c_78]) ).
tcf(c_249097,plain,
( ( sK3(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249093,c_106]) ).
tcf(c_249100,plain,
( ( sK3(sz00,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ( sz00 != sK2 ) ),
inference(superposition,[status(thm)],[c_248469,c_78]) ).
tcf(c_249104,plain,
( ( sK3(sz00,sK2) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ( sz00 != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249100,c_106]) ).
tcf(c_249116,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_248950]) ).
tcf(c_249119,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249116,c_62]) ).
tcf(c_249129,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_249119,c_112]) ).
tcf(c_249130,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_249119,c_113]) ).
tcf(c_249131,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xq,sK3(xq,X0)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249119,c_76]) ).
tcf(c_249133,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_249119,c_112]) ).
tcf(c_249134,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_249119,c_113]) ).
tcf(c_249135,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249119,c_76]) ).
tcf(c_249136,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249135,c_59]) ).
tcf(c_249140,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249134,c_59]) ).
tcf(c_249145,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xq,sK3(xq,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249131,c_62]) ).
tcf(c_249149,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249130,c_62]) ).
tcf(c_249154,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249133,c_59]) ).
tcf(c_249160,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249129,c_62]) ).
tcf(c_249170,plain,
sdtsldt0(sdtasdt0(xp,xl),xp) = xl,
inference(superposition,[status(thm)],[c_49,c_248772]) ).
tcf(c_249171,plain,
sdtsldt0(sdtasdt0(xp,xm),xp) = xm,
inference(superposition,[status(thm)],[c_50,c_248772]) ).
tcf(c_249172,plain,
sdtsldt0(sdtasdt0(xp,xn),xp) = xn,
inference(superposition,[status(thm)],[c_51,c_248772]) ).
tcf(c_249173,plain,
sdtsldt0(sdtasdt0(xp,xp),xp) = xp,
inference(superposition,[status(thm)],[c_59,c_248772]) ).
tcf(c_249174,plain,
sdtsldt0(sdtasdt0(xp,xq),xp) = xq,
inference(superposition,[status(thm)],[c_62,c_248772]) ).
tcf(c_249175,plain,
sdtsldt0(sdtasdt0(xp,sK2),xp) = sK2,
inference(superposition,[status(thm)],[c_65,c_248772]) ).
tcf(c_249176,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(X0,X1)),xp) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87,c_248772]) ).
tcf(c_249177,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xp,sK3(X0,X1)),xp) = sK3(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_248772]) ).
tcf(c_249178,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(X0,X1)),xp) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_248772]) ).
tcf(c_249179,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xp,sK4(X0,X1)),xp) = sK4(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_248772]) ).
tcf(c_249180,plain,
sdtsldt0(sdtasdt0(xp,sz00),xp) = sz00,
inference(superposition,[status(thm)],[c_106,c_248772]) ).
tcf(c_249181,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sdtsldt0(X1,X0)),xp) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_108,c_248772]) ).
tcf(c_249182,plain,
sdtsldt0(sdtasdt0(xp,sdtasdt0(xl,xq)),xp) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_248038,c_248772]) ).
tcf(c_249183,plain,
sdtsldt0(sz00,xp) = sz00,
inference(light_normalisation,[status(thm)],[c_249180,c_247997]) ).
tcf(c_249223,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_248248,c_148]) ).
tcf(c_249225,plain,
sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_249223,c_106,c_248038]) ).
tcf(c_249260,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xl,X1),X0) = sdtasdt0(xl,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_98]) ).
tcf(c_249261,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xm,X1),X0) = sdtasdt0(xm,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_98]) ).
tcf(c_249262,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xn,X1),X0) = sdtasdt0(xn,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_98]) ).
tcf(c_249263,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xp,X1),X0) = sdtasdt0(xp,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_98]) ).
tcf(c_249264,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xq,X1),X0) = sdtasdt0(xq,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62,c_98]) ).
tcf(c_249265,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK2,X1),X0) = sdtasdt0(sK2,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65,c_98]) ).
tcf(c_249266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X3),X2) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87,c_98]) ).
tcf(c_249267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK3(X0,X1),X3),X2) = sdtasdt0(sK3(X0,X1),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_98]) ).
tcf(c_249268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X3),X2) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_98]) ).
tcf(c_249269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK4(X0,X1),X3),X2) = sdtasdt0(sK4(X0,X1),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_98]) ).
tcf(c_249270,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X1),X0) = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_98]) ).
tcf(c_249271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(X1,X0),X3),X2) = sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_108,c_98]) ).
tcf(c_249272,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xq),X1),X0) = sdtasdt0(sdtasdt0(xl,xq),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_248038,c_98]) ).
tcf(c_249425,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_63,c_79]) ).
tcf(c_249426,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_543,c_79]) ).
tcf(c_249427,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_247978,c_79]) ).
tcf(c_249428,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_247975,c_79]) ).
tcf(c_249429,plain,
! [X0: $i] :
( ( sK3(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_248465,c_79]) ).
tcf(c_249430,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != xl ) ),
inference(superposition,[status(thm)],[c_247972,c_79]) ).
tcf(c_249431,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_247973,c_79]) ).
tcf(c_249432,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_247974,c_79]) ).
tcf(c_249433,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != xq ) ),
inference(superposition,[status(thm)],[c_247976,c_79]) ).
tcf(c_249434,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK2,X0) != sK2 ) ),
inference(superposition,[status(thm)],[c_247977,c_79]) ).
tcf(c_249435,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(superposition,[status(thm)],[c_247983,c_79]) ).
tcf(c_249436,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_247984,c_79]) ).
tcf(c_249437,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_247985,c_79]) ).
tcf(c_249438,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_247986,c_79]) ).
tcf(c_249439,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(superposition,[status(thm)],[c_247987,c_79]) ).
tcf(c_249440,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK2 ) ),
inference(superposition,[status(thm)],[c_247988,c_79]) ).
tcf(c_249441,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_248247,c_79]) ).
tcf(c_249442,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_248248,c_79]) ).
tcf(c_249443,plain,
! [X0: $i] :
( ( sK3(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_248464,c_79]) ).
tcf(c_249444,plain,
! [X0: $i] :
( ( sK3(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xl))
| ( sdtpldt0(xl,X0) != xl ) ),
inference(superposition,[status(thm)],[c_248463,c_79]) ).
tcf(c_249445,plain,
! [X0: $i] :
( ( sK3(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_248462,c_79]) ).
tcf(c_249446,plain,
! [X0: $i] :
( ( sK3(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_248461,c_79]) ).
tcf(c_249447,plain,
! [X0: $i] :
( ( sK3(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ( sdtpldt0(xq,X0) != xq ) ),
inference(superposition,[status(thm)],[c_248460,c_79]) ).
tcf(c_249448,plain,
! [X0: $i] :
( ( sK3(sK2,sK2) = X0 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK2,sK2))
| ( sdtpldt0(sK2,X0) != sK2 ) ),
inference(superposition,[status(thm)],[c_248459,c_79]) ).
tcf(c_249449,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(xq,X0) != xp ) ),
inference(superposition,[status(thm)],[c_248472,c_79]) ).
tcf(c_249450,plain,
! [X0: $i] :
( ( sK3(sz00,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ( sdtpldt0(sz00,X0) != sK2 ) ),
inference(superposition,[status(thm)],[c_248469,c_79]) ).
tcf(c_249451,plain,
! [X0: $i] :
( ( sK3(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xm))
| ( sdtpldt0(xl,X0) != xm ) ),
inference(superposition,[status(thm)],[c_248468,c_79]) ).
tcf(c_249453,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249427,c_106]) ).
tcf(c_249457,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249440,c_65,c_106]) ).
tcf(c_249461,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249439,c_62,c_106]) ).
tcf(c_249465,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249438,c_59,c_106]) ).
tcf(c_249469,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249437,c_106,c_51]) ).
tcf(c_249473,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249436,c_106,c_50]) ).
tcf(c_249477,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249435,c_106,c_49]) ).
tcf(c_249481,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK2,X0) != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249434,c_65,c_106]) ).
tcf(c_249485,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249433,c_62,c_106]) ).
tcf(c_249489,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249432,c_106,c_51]) ).
tcf(c_249493,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249431,c_106,c_50]) ).
tcf(c_249497,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249430,c_106,c_49]) ).
tcf(c_249501,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249428,c_59,c_106]) ).
tcf(c_249505,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249426,c_65,c_50]) ).
tcf(c_249509,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249425,c_51,c_50]) ).
tcf(c_249513,plain,
! [X0: $i] :
( ( sK3(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xm))
| ( sdtpldt0(xl,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249451,c_49]) ).
tcf(c_249518,plain,
! [X0: $i] :
( ( sK3(sz00,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ( sdtpldt0(sz00,X0) != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249450,c_106]) ).
tcf(c_249523,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(xq,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249449,c_62]) ).
tcf(c_249528,plain,
! [X0: $i] :
( ( sK3(sK2,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK2,sK2))
| ( sdtpldt0(sK2,X0) != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249448,c_65]) ).
tcf(c_249533,plain,
! [X0: $i] :
( ( sK3(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ( sdtpldt0(xq,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249447,c_62]) ).
tcf(c_249538,plain,
! [X0: $i] :
( ( sK3(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249446,c_51]) ).
tcf(c_249543,plain,
! [X0: $i] :
( ( sK3(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249445,c_50]) ).
tcf(c_249548,plain,
! [X0: $i] :
( ( sK3(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xl))
| ( sdtpldt0(xl,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249444,c_49]) ).
tcf(c_249553,plain,
! [X0: $i] :
( ( sK3(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249443,c_59]) ).
tcf(c_249558,plain,
! [X0: $i] :
( ( sK3(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249429,c_106]) ).
tcf(c_249563,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xl,xq),X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249442,c_106,c_248038]) ).
tcf(c_249567,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249441,c_106,c_248038]) ).
tcf(c_249654,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_63,c_80]) ).
tcf(c_249655,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK2) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_543,c_80]) ).
tcf(c_249656,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(superposition,[status(thm)],[c_247978,c_80]) ).
tcf(c_249657,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(superposition,[status(thm)],[c_247975,c_80]) ).
tcf(c_249658,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ( sdtpldt0(X0,sK3(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_248465,c_80]) ).
tcf(c_249659,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xl ) ),
inference(superposition,[status(thm)],[c_247972,c_80]) ).
tcf(c_249660,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(superposition,[status(thm)],[c_247973,c_80]) ).
tcf(c_249661,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(superposition,[status(thm)],[c_247974,c_80]) ).
tcf(c_249662,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xq ) ),
inference(superposition,[status(thm)],[c_247976,c_80]) ).
tcf(c_249663,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK2 ) ),
inference(superposition,[status(thm)],[c_247977,c_80]) ).
tcf(c_249664,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != xl ) ),
inference(superposition,[status(thm)],[c_247983,c_80]) ).
tcf(c_249665,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(superposition,[status(thm)],[c_247984,c_80]) ).
tcf(c_249666,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(superposition,[status(thm)],[c_247985,c_80]) ).
tcf(c_249667,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(superposition,[status(thm)],[c_247986,c_80]) ).
tcf(c_249668,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != xq ) ),
inference(superposition,[status(thm)],[c_247987,c_80]) ).
tcf(c_249669,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK2) != sK2 ) ),
inference(superposition,[status(thm)],[c_247988,c_80]) ).
tcf(c_249670,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_248247,c_80]) ).
tcf(c_249671,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_248248,c_80]) ).
tcf(c_249672,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,xp))
| ( sdtpldt0(X0,sK3(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_248464,c_80]) ).
tcf(c_249673,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xl))
| ( sdtpldt0(X0,sK3(xl,xl)) != xl ) ),
inference(superposition,[status(thm)],[c_248463,c_80]) ).
tcf(c_249674,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,xm))
| ( sdtpldt0(X0,sK3(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_248462,c_80]) ).
tcf(c_249675,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,xn))
| ( sdtpldt0(X0,sK3(xn,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_248461,c_80]) ).
tcf(c_249676,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ( sdtpldt0(X0,sK3(xq,xq)) != xq ) ),
inference(superposition,[status(thm)],[c_248460,c_80]) ).
tcf(c_249677,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK2,sK2))
| ( sdtpldt0(X0,sK3(sK2,sK2)) != sK2 ) ),
inference(superposition,[status(thm)],[c_248459,c_80]) ).
tcf(c_249678,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(X0,sK3(xq,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_248472,c_80]) ).
tcf(c_249679,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ( sdtpldt0(X0,sK3(sz00,sK2)) != sK2 ) ),
inference(superposition,[status(thm)],[c_248469,c_80]) ).
tcf(c_249680,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xm))
| ( sdtpldt0(X0,sK3(xl,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_248468,c_80]) ).
tcf(c_249682,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249656,c_106]) ).
tcf(c_249686,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK2) != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249669,c_65,c_106]) ).
tcf(c_249690,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249668,c_62,c_106]) ).
tcf(c_249694,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249667,c_59,c_106]) ).
tcf(c_249698,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249666,c_106,c_51]) ).
tcf(c_249702,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249665,c_106,c_50]) ).
tcf(c_249706,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249664,c_106,c_49]) ).
tcf(c_249710,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249663,c_65,c_106]) ).
tcf(c_249714,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249662,c_62,c_106]) ).
tcf(c_249718,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249661,c_106,c_51]) ).
tcf(c_249722,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249660,c_106,c_50]) ).
tcf(c_249726,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249659,c_106,c_49]) ).
tcf(c_249730,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249657,c_59,c_106]) ).
tcf(c_249734,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK2) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249655,c_65,c_50]) ).
tcf(c_249738,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249654,c_51,c_50]) ).
tcf(c_249742,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xm))
| ( sdtpldt0(X0,sK3(xl,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249680,c_49]) ).
tcf(c_249747,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ( sdtpldt0(X0,sK3(sz00,sK2)) != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249679,c_106]) ).
tcf(c_249752,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(X0,sK3(xq,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249678,c_62]) ).
tcf(c_249757,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK2,sK2))
| ( sdtpldt0(X0,sK3(sK2,sK2)) != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249677,c_65]) ).
tcf(c_249762,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ( sdtpldt0(X0,sK3(xq,xq)) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249676,c_62]) ).
tcf(c_249767,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,xn))
| ( sdtpldt0(X0,sK3(xn,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249675,c_51]) ).
tcf(c_249772,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,xm))
| ( sdtpldt0(X0,sK3(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249674,c_50]) ).
tcf(c_249777,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xl))
| ( sdtpldt0(X0,sK3(xl,xl)) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249673,c_49]) ).
tcf(c_249782,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,xp))
| ( sdtpldt0(X0,sK3(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249672,c_59]) ).
tcf(c_249787,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ( sdtpldt0(X0,sK3(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249658,c_106]) ).
tcf(c_249792,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249671,c_106,c_248038]) ).
tcf(c_249796,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xl,xq)) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249670,c_106,c_248038]) ).
tcf(c_249831,plain,
( ( sdtpldt0(sdtasdt0(xl,xq),sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_249225,c_76]) ).
tcf(c_249832,plain,
sdtpldt0(sdtasdt0(xl,xq),sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_249831,c_248038]) ).
tcf(c_249839,plain,
! [X0: $i] :
( ( sK3(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xp))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_248470,c_79]) ).
tcf(c_249840,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xp))
| ( sdtpldt0(X0,sK3(sz00,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_248470,c_80]) ).
tcf(c_249841,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xp))
| ( sdtpldt0(X0,sK3(sz00,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249840,c_106]) ).
tcf(c_249846,plain,
! [X0: $i] :
( ( sK3(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xp))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249839,c_106]) ).
tcf(c_249853,plain,
( ( sK3(sz00,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,xq))
| ( sz00 != xq ) ),
inference(superposition,[status(thm)],[c_248471,c_78]) ).
tcf(c_249857,plain,
! [X0: $i] :
( ( sK3(sz00,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xq))
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(superposition,[status(thm)],[c_248471,c_79]) ).
tcf(c_249858,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xq))
| ( sdtpldt0(X0,sK3(sz00,xq)) != xq ) ),
inference(superposition,[status(thm)],[c_248471,c_80]) ).
tcf(c_249859,plain,
( ( sK3(sz00,xq) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,xq))
| ( sz00 != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249853,c_106]) ).
tcf(c_249863,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xq))
| ( sdtpldt0(X0,sK3(sz00,xq)) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249858,c_106]) ).
tcf(c_249868,plain,
! [X0: $i] :
( ( sK3(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xq))
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249857,c_106]) ).
tcf(c_249912,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK3(X1,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_249136,c_112]) ).
tcf(c_249913,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_249136,c_113]) ).
tcf(c_249914,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK3(xq,X0)) = X0 )
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249136,c_76]) ).
tcf(c_249916,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK3(xq,X0)) = X0 )
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249914,c_62]) ).
tcf(c_249920,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249913,c_62]) ).
tcf(c_249925,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK3(X1,xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249912,c_62]) ).
tcf(c_249931,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_249140,c_62,c_59,c_69,c_2923,c_79992]) ).
tcf(c_249932,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(renaming,[status(thm)],[c_249931]) ).
tcf(c_249940,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xp,X0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_148,c_249932]) ).
tcf(c_249941,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_88,c_249932]) ).
tcf(c_249943,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_249932]) ).
tcf(c_249947,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249940,c_59]) ).
tcf(c_249951,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249941,c_59]) ).
tcf(c_249963,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xq,sK3(xq,X1)) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_249145,c_112]) ).
tcf(c_249964,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtpldt0(xq,sK3(xq,X0)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_249145,c_113]) ).
tcf(c_249965,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK3(xq,X0)) = X0 )
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249145,c_76]) ).
tcf(c_249968,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtpldt0(xq,sK3(xq,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249964,c_59]) ).
tcf(c_249973,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xq,sK3(xq,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249963,c_59]) ).
tcf(c_249981,plain,
sdtasdt0(xl,xq) != sz00,
inference(global_subsumption_just,[status(thm)],[c_248364,c_106,c_62,c_59,c_69,c_115,c_117,c_128,c_2924,c_2937,c_3008,c_3120,c_3258,c_3901,c_7137]) ).
tcf(c_249995,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_63,c_101]) ).
tcf(c_249996,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK2)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_543,c_101]) ).
tcf(c_250019,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ doDivides0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248472,c_101]) ).
tcf(c_250020,plain,
! [X0: $i] :
( doDivides0(X0,xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ doDivides0(X0,sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_248471,c_101]) ).
tcf(c_250021,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ doDivides0(X0,sK3(sz00,xp)) ),
inference(superposition,[status(thm)],[c_248470,c_101]) ).
tcf(c_250022,plain,
! [X0: $i] :
( doDivides0(X0,sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ doDivides0(X0,sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_248469,c_101]) ).
tcf(c_250023,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sK3(xl,xm))
| ~ doDivides0(X0,sK3(xl,xm)) ),
inference(superposition,[status(thm)],[c_248468,c_101]) ).
tcf(c_250024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X1)
| ~ doDivides0(X3,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ doDivides0(sdtpldt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_101,c_102]) ).
tcf(c_250025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X2,sK4(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_101,c_105]) ).
tcf(c_250026,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK2)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249996,c_65,c_50]) ).
tcf(c_250031,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_249995,c_51,c_50]) ).
tcf(c_250036,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sK3(xl,xm))
| ~ doDivides0(X0,sK3(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250023,c_49]) ).
tcf(c_250042,plain,
! [X0: $i] :
( doDivides0(X0,sK2)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ doDivides0(X0,sK3(sz00,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250022,c_106]) ).
tcf(c_250048,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ doDivides0(X0,sK3(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250021,c_106]) ).
tcf(c_250054,plain,
! [X0: $i] :
( doDivides0(X0,xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ doDivides0(X0,sK3(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250020,c_106]) ).
tcf(c_250060,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ doDivides0(X0,sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250019,c_62]) ).
tcf(c_250101,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(xm,xl)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_54,c_109]) ).
tcf(c_250102,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_101,c_109]) ).
tcf(c_250103,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_145,c_109]) ).
tcf(c_250105,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(sdtasdt0(xl,xq),xl)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_544,c_109]) ).
tcf(c_250106,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_248257,c_109]) ).
tcf(c_250107,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_248262,c_109]) ).
tcf(c_250108,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_248268,c_109]) ).
tcf(c_250109,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sz00,xq)) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_248275,c_109]) ).
tcf(c_250110,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_248265,c_109]) ).
tcf(c_250111,plain,
( ( sz00 = sK2 )
| ( sdtasdt0(sK2,sdtsldt0(sz00,sK2)) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_248401,c_109]) ).
tcf(c_250112,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_248429,c_109]) ).
tcf(c_250113,plain,
( ( sz00 = sK2 )
| ( sdtasdt0(sK2,sdtsldt0(sz00,sK2)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250111,c_65,c_106]) ).
tcf(c_250116,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250110,c_106,c_51]) ).
tcf(c_250119,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sz00,xq)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250109,c_62,c_106]) ).
tcf(c_250123,plain,
sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_250107,c_248714,c_106,c_50]) ).
tcf(c_250124,plain,
sdtasdt0(xl,sdtsldt0(sz00,xl)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_250106,c_58,c_106,c_49]) ).
tcf(c_250127,plain,
sdtasdt0(sdtasdt0(xl,xq),sdtsldt0(sz00,sdtasdt0(xl,xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_250112,c_249981,c_106,c_248038]) ).
tcf(c_250195,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X0)) = sdtasdt0(xl,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_81]) ).
tcf(c_250196,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xm,X1),sdtasdt0(xm,X0)) = sdtasdt0(xm,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_81]) ).
tcf(c_250197,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xn,X1),sdtasdt0(xn,X0)) = sdtasdt0(xn,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_81]) ).
tcf(c_250198,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xp,X1),sdtasdt0(xp,X0)) = sdtasdt0(xp,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_81]) ).
tcf(c_250199,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xq,X1),sdtasdt0(xq,X0)) = sdtasdt0(xq,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62,c_81]) ).
tcf(c_250200,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK2,X1),sdtasdt0(sK2,X0)) = sdtasdt0(sK2,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65,c_81]) ).
tcf(c_250201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X3),sdtasdt0(sdtpldt0(X0,X1),X2)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87,c_81]) ).
tcf(c_250202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK3(X0,X1),X3),sdtasdt0(sK3(X0,X1),X2)) = sdtasdt0(sK3(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_81]) ).
tcf(c_250203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X3),sdtasdt0(sdtasdt0(X0,X1),X2)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_81]) ).
tcf(c_250204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK4(X0,X1),X3),sdtasdt0(sK4(X0,X1),X2)) = sdtasdt0(sK4(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_81]) ).
tcf(c_250205,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(sz00,X0)) = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_81]) ).
tcf(c_250206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(X1,X0),X3),sdtasdt0(sdtsldt0(X1,X0),X2)) = sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_108,c_81]) ).
tcf(c_250207,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xq),X1),sdtasdt0(sdtasdt0(xl,xq),X0)) = sdtasdt0(sdtasdt0(xl,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_248038,c_81]) ).
tcf(c_250299,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xl),sdtasdt0(X0,xl)) = sdtasdt0(sdtpldt0(X1,X0),xl) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_82]) ).
tcf(c_250300,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xm),sdtasdt0(X0,xm)) = sdtasdt0(sdtpldt0(X1,X0),xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_82]) ).
tcf(c_250301,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xn),sdtasdt0(X0,xn)) = sdtasdt0(sdtpldt0(X1,X0),xn) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_82]) ).
tcf(c_250302,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xp),sdtasdt0(X0,xp)) = sdtasdt0(sdtpldt0(X1,X0),xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_82]) ).
tcf(c_250303,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xq),sdtasdt0(X0,xq)) = sdtasdt0(sdtpldt0(X1,X0),xq) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62,c_82]) ).
tcf(c_250304,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sK2),sdtasdt0(X0,sK2)) = sdtasdt0(sdtpldt0(X1,X0),sK2) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65,c_82]) ).
tcf(c_250305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sdtpldt0(X0,X1)),sdtasdt0(X2,sdtpldt0(X0,X1))) = sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87,c_82]) ).
tcf(c_250306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sK3(X0,X1)),sdtasdt0(X2,sK3(X0,X1))) = sdtasdt0(sdtpldt0(X3,X2),sK3(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_82]) ).
tcf(c_250307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sdtasdt0(X0,X1)),sdtasdt0(X2,sdtasdt0(X0,X1))) = sdtasdt0(sdtpldt0(X3,X2),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_82]) ).
tcf(c_250308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sK4(X0,X1)),sdtasdt0(X2,sK4(X0,X1))) = sdtasdt0(sdtpldt0(X3,X2),sK4(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_82]) ).
tcf(c_250309,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sz00),sdtasdt0(X0,sz00)) = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_82]) ).
tcf(c_250310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X3,sdtsldt0(X1,X0)),sdtasdt0(X2,sdtsldt0(X1,X0))) = sdtasdt0(sdtpldt0(X3,X2),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_108,c_82]) ).
tcf(c_250311,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xl,xq)),sdtasdt0(X0,sdtasdt0(xl,xq))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_248038,c_82]) ).
tcf(c_250392,plain,
( ( sK3(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,xn))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_248473,c_78]) ).
tcf(c_250396,plain,
! [X0: $i] :
( ( sK3(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xn))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_248473,c_79]) ).
tcf(c_250397,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ doDivides0(X0,sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_248473,c_101]) ).
tcf(c_250398,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xn))
| ( sdtpldt0(X0,sK3(sz00,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_248473,c_80]) ).
tcf(c_250399,plain,
( ( sK3(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,xn))
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250392,c_106]) ).
tcf(c_250403,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xn))
| ( sdtpldt0(X0,sK3(sz00,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250398,c_106]) ).
tcf(c_250408,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ doDivides0(X0,sK3(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250397,c_106]) ).
tcf(c_250414,plain,
! [X0: $i] :
( ( sK3(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xn))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250396,c_106]) ).
tcf(c_250464,plain,
! [X0: $i] :
( ( sK3(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xm))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_248474,c_79]) ).
tcf(c_250465,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ doDivides0(X0,sK3(sz00,xm)) ),
inference(superposition,[status(thm)],[c_248474,c_101]) ).
tcf(c_250466,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xm))
| ( sdtpldt0(X0,sK3(sz00,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_248474,c_80]) ).
tcf(c_250467,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xm))
| ( sdtpldt0(X0,sK3(sz00,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250466,c_106]) ).
tcf(c_250472,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ doDivides0(X0,sK3(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250465,c_106]) ).
tcf(c_250478,plain,
! [X0: $i] :
( ( sK3(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xm))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250464,c_106]) ).
tcf(c_250489,plain,
! [X0: $i] :
( ( sK3(sz00,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xl))
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(superposition,[status(thm)],[c_248475,c_79]) ).
tcf(c_250490,plain,
! [X0: $i] :
( doDivides0(X0,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xl))
| ~ doDivides0(X0,sK3(sz00,xl)) ),
inference(superposition,[status(thm)],[c_248475,c_101]) ).
tcf(c_250491,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xl))
| ( sdtpldt0(X0,sK3(sz00,xl)) != xl ) ),
inference(superposition,[status(thm)],[c_248475,c_80]) ).
tcf(c_250492,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xl))
| ( sdtpldt0(X0,sK3(sz00,xl)) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250491,c_106]) ).
tcf(c_250497,plain,
! [X0: $i] :
( doDivides0(X0,xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xl))
| ~ doDivides0(X0,sK3(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250490,c_106]) ).
tcf(c_250503,plain,
! [X0: $i] :
( ( sK3(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xl))
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250489,c_106]) ).
tcf(c_250545,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_249154]) ).
tcf(c_250546,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_148,c_249154]) ).
tcf(c_250547,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_88,c_249154]) ).
tcf(c_250549,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_249154]) ).
tcf(c_250551,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_545,c_249154]) ).
tcf(c_250553,plain,
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(xl,xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_248111,c_249154]) ).
tcf(c_250554,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_248110,c_249154]) ).
tcf(c_250555,plain,
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_248109,c_249154]) ).
tcf(c_250557,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK2)
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[status(thm)],[c_248107,c_249154]) ).
tcf(c_250565,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xl,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_248336,c_249154]) ).
tcf(c_250571,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xq))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_249225,c_249154]) ).
tcf(c_250572,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250557,c_65]) ).
tcf(c_250575,plain,
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(xn,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250555,c_51]) ).
tcf(c_250578,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xm,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250554,c_50]) ).
tcf(c_250581,plain,
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(xl,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250553,c_49]) ).
tcf(c_250584,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xl,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250565,c_50,c_49]) ).
tcf(c_250587,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xq))
| sdtlseqdt0(sdtasdt0(xl,xq),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250571,c_248038]) ).
tcf(c_250600,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250551,c_50,c_248038]) ).
tcf(c_250644,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_249160]) ).
tcf(c_250646,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_248102,c_249160]) ).
tcf(c_250649,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250646,c_106]) ).
tcf(c_250660,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(xl,X0)),xp) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_249176]) ).
tcf(c_250661,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(xm,X0)),xp) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_249176]) ).
tcf(c_250662,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(xn,X0)),xp) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_249176]) ).
tcf(c_250663,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(xp,X0)),xp) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_249176]) ).
tcf(c_250664,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(xq,X0)),xp) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62,c_249176]) ).
tcf(c_250665,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sK2,X0)),xp) = sdtpldt0(sK2,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65,c_249176]) ).
tcf(c_250666,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtpldt0(X0,X1),X2)),xp) = sdtpldt0(sdtpldt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87,c_249176]) ).
tcf(c_250667,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sK3(X0,X1),X2)),xp) = sdtpldt0(sK3(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_249176]) ).
tcf(c_250668,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtasdt0(X0,X1),X2)),xp) = sdtpldt0(sdtasdt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_249176]) ).
tcf(c_250669,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sK4(X0,X1),X2)),xp) = sdtpldt0(sK4(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_249176]) ).
tcf(c_250670,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sz00,X0)),xp) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_249176]) ).
tcf(c_250671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtsldt0(X1,X0),X2)),xp) = sdtpldt0(sdtsldt0(X1,X0),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_108,c_249176]) ).
tcf(c_250672,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtasdt0(xl,xq),X0)),xp) = sdtpldt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_248038,c_249176]) ).
tcf(c_250719,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(xl,X0)),xp) = sdtasdt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_249178]) ).
tcf(c_250720,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(xm,X0)),xp) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_249178]) ).
tcf(c_250721,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(xn,X0)),xp) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_249178]) ).
tcf(c_250722,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(xp,X0)),xp) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_249178]) ).
tcf(c_250723,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(xq,X0)),xp) = sdtasdt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62,c_249178]) ).
tcf(c_250724,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sK2,X0)),xp) = sdtasdt0(sK2,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65,c_249178]) ).
tcf(c_250725,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtpldt0(X0,X1),X2)),xp) = sdtasdt0(sdtpldt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87,c_249178]) ).
tcf(c_250726,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sK3(X0,X1),X2)),xp) = sdtasdt0(sK3(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_249178]) ).
tcf(c_250727,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtasdt0(X0,X1),X2)),xp) = sdtasdt0(sdtasdt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_249178]) ).
tcf(c_250728,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sK4(X0,X1),X2)),xp) = sdtasdt0(sK4(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_249178]) ).
tcf(c_250729,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sz00,X0)),xp) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_249178]) ).
tcf(c_250730,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtsldt0(X1,X0),X2)),xp) = sdtasdt0(sdtsldt0(X1,X0),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_108,c_249178]) ).
tcf(c_250731,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtasdt0(xl,xq),X0)),xp) = sdtasdt0(sdtasdt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_248038,c_249178]) ).
tcf(c_250798,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,X1)),xp) = sK3(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_249177]) ).
tcf(c_250799,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xp,sK3(X0,sdtpldt0(X0,X1))),xp) = sK3(X0,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_148,c_249177]) ).
tcf(c_250800,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sdtasdt0(X0,X1))),xp) = sK3(X0,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_88,c_249177]) ).
tcf(c_250801,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sK3(X0,X0)),xp) = sK3(X0,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_114,c_249177]) ).
tcf(c_250802,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtsldt0(sdtasdt0(xp,sK3(X1,X0)),xp) = sK3(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_249177]) ).
tcf(c_250803,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sz00)),xp) = sK3(sz00,sz00) )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_248101,c_249177]) ).
tcf(c_250804,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xm,sdtasdt0(xl,xq))),xp) = sK3(xm,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_545,c_249177]) ).
tcf(c_250805,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xp,xp)),xp) = sK3(xp,xp) )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_248112,c_249177]) ).
tcf(c_250806,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xl,xl)),xp) = sK3(xl,xl) )
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_248111,c_249177]) ).
tcf(c_250807,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xm,xm)),xp) = sK3(xm,xm) )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_248110,c_249177]) ).
tcf(c_250808,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xn,xn)),xp) = sK3(xn,xn) )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_248109,c_249177]) ).
tcf(c_250809,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xq,xq)),xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_248108,c_249177]) ).
tcf(c_250810,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sK2,sK2)),xp) = sK3(sK2,sK2) )
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[status(thm)],[c_248107,c_249177]) ).
tcf(c_250811,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,xl)),xp) = sK3(sz00,xl) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_248106,c_249177]) ).
tcf(c_250812,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,xm)),xp) = sK3(sz00,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_248105,c_249177]) ).
tcf(c_250813,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,xn)),xp) = sK3(sz00,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_248104,c_249177]) ).
tcf(c_250814,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xq,xp)),xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_248128,c_249177]) ).
tcf(c_250815,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,xq)),xp) = sK3(sz00,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_248102,c_249177]) ).
tcf(c_250816,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,xp)),xp) = sK3(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_248103,c_249177]) ).
tcf(c_250817,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sK2)),xp) = sK3(sz00,sK2) )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_248115,c_249177]) ).
tcf(c_250818,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xl,xm)),xp) = sK3(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_248336,c_249177]) ).
tcf(c_250819,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK3(xq,X0)) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xp)),xp) = sK3(X0,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249145,c_249177]) ).
tcf(c_250820,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xp)),xp) = sK3(X0,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249119,c_249177]) ).
tcf(c_250821,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,X0)),xp) = sK3(xq,X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249136,c_249177]) ).
tcf(c_250822,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,X0)),xp) = sK3(xq,X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_249119,c_249177]) ).
tcf(c_250823,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtasdt0(xl,xq))),xp) = sK3(sz00,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_248744,c_249177]) ).
tcf(c_250824,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))),xp) = sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_249225,c_249177]) ).
tcf(c_250825,plain,
sdtsldt0(sdtasdt0(xp,sK3(sK2,sK2)),xp) = sK3(sK2,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_250810,c_65]) ).
tcf(c_250826,plain,
sdtsldt0(sdtasdt0(xp,sK3(xq,xq)),xp) = sK3(xq,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_250809,c_62]) ).
tcf(c_250827,plain,
sdtsldt0(sdtasdt0(xp,sK3(xn,xn)),xp) = sK3(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_250808,c_51]) ).
tcf(c_250828,plain,
sdtsldt0(sdtasdt0(xp,sK3(xm,xm)),xp) = sK3(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_250807,c_50]) ).
tcf(c_250829,plain,
sdtsldt0(sdtasdt0(xp,sK3(xl,xl)),xp) = sK3(xl,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_250806,c_49]) ).
tcf(c_250830,plain,
sdtsldt0(sdtasdt0(xp,sK3(xp,xp)),xp) = sK3(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_250805,c_59]) ).
tcf(c_250831,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sz00)),xp) = sK3(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_250803,c_106]) ).
tcf(c_250834,plain,
sdtsldt0(sdtasdt0(xp,sK3(xl,xm)),xp) = sK3(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_250818,c_50,c_49]) ).
tcf(c_250835,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sK2)),xp) = sK3(sz00,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_250817,c_65,c_106]) ).
tcf(c_250836,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,xp)),xp) = sK3(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_250816,c_59,c_106]) ).
tcf(c_250837,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,xq)),xp) = sK3(sz00,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_250815,c_62,c_106]) ).
tcf(c_250838,plain,
sdtsldt0(sdtasdt0(xp,sK3(xq,xp)),xp) = sK3(xq,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_250814,c_62,c_59]) ).
tcf(c_250839,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,xn)),xp) = sK3(sz00,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_250813,c_106,c_51]) ).
tcf(c_250840,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,xm)),xp) = sK3(sz00,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_250812,c_106,c_50]) ).
tcf(c_250841,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,xl)),xp) = sK3(sz00,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_250811,c_106,c_49]) ).
tcf(c_250842,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,X0)),xp) = sK3(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250822,c_62]) ).
tcf(c_250846,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xp)),xp) = sK3(X0,xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250820,c_59]) ).
tcf(c_250858,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtasdt0(xl,xq))),xp) = sK3(sz00,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_250823,c_106,c_248038]) ).
tcf(c_250859,plain,
sdtsldt0(sdtasdt0(xp,sK3(xm,sdtasdt0(xl,xq))),xp) = sK3(xm,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_250804,c_50,c_248038]) ).
tcf(c_250860,plain,
sdtsldt0(sdtasdt0(xp,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))),xp) = sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_250824,c_248038]) ).
tcf(c_250861,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,X0)),xp) = sK3(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250821,c_62]) ).
tcf(c_250865,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK3(xq,X0)) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xp)),xp) = sK3(X0,xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250819,c_59]) ).
tcf(c_250982,plain,
( aNaturalNumber0(sK3(xq,xp))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xq,xp)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_250838,c_108]) ).
tcf(c_250983,plain,
( aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xq,xp)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_250982,c_38242,c_59]) ).
tcf(c_251006,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xm,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_63,c_71]) ).
tcf(c_251007,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xm,X0))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(superposition,[status(thm)],[c_543,c_71]) ).
tcf(c_251008,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_247978,c_71]) ).
tcf(c_251009,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_247975,c_71]) ).
tcf(c_251010,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK3(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ sdtlseqdt0(sK3(sz00,sz00),X0) ),
inference(superposition,[status(thm)],[c_248465,c_71]) ).
tcf(c_251011,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_247972,c_71]) ).
tcf(c_251012,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_247973,c_71]) ).
tcf(c_251013,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_247974,c_71]) ).
tcf(c_251014,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_247976,c_71]) ).
tcf(c_251015,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(sK2,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_247977,c_71]) ).
tcf(c_251016,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_247983,c_71]) ).
tcf(c_251017,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_247984,c_71]) ).
tcf(c_251018,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_247985,c_71]) ).
tcf(c_251019,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_247986,c_71]) ).
tcf(c_251020,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_247987,c_71]) ).
tcf(c_251021,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(sz00,X0))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(superposition,[status(thm)],[c_247988,c_71]) ).
tcf(c_251022,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_248247,c_71]) ).
tcf(c_251023,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_248248,c_71]) ).
tcf(c_251024,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sK3(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,xp))
| ~ sdtlseqdt0(sK3(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_248464,c_71]) ).
tcf(c_251025,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( sK3(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xl))
| ~ sdtlseqdt0(sK3(xl,xl),X0) ),
inference(superposition,[status(thm)],[c_248463,c_71]) ).
tcf(c_251026,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sK3(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,xm))
| ~ sdtlseqdt0(sK3(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_248462,c_71]) ).
tcf(c_251027,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sK3(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,xn))
| ~ sdtlseqdt0(sK3(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_248461,c_71]) ).
tcf(c_251028,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( sK3(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ sdtlseqdt0(sK3(xq,xq),X0) ),
inference(superposition,[status(thm)],[c_248460,c_71]) ).
tcf(c_251029,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(sK2,X0))
| ( sK3(sK2,sK2) = X0 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK2,sK2))
| ~ sdtlseqdt0(sK3(sK2,sK2),X0) ),
inference(superposition,[status(thm)],[c_248459,c_71]) ).
tcf(c_251030,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X0))
| ( sK3(sz00,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xl))
| ~ sdtlseqdt0(sK3(sz00,xl),X0) ),
inference(superposition,[status(thm)],[c_248475,c_71]) ).
tcf(c_251031,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sK3(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ sdtlseqdt0(sK3(sz00,xm),X0) ),
inference(superposition,[status(thm)],[c_248474,c_71]) ).
tcf(c_251032,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sK3(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ sdtlseqdt0(sK3(sz00,xn),X0) ),
inference(superposition,[status(thm)],[c_248473,c_71]) ).
tcf(c_251033,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_248472,c_71]) ).
tcf(c_251034,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( sK3(sz00,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ sdtlseqdt0(sK3(sz00,xq),X0) ),
inference(superposition,[status(thm)],[c_248471,c_71]) ).
tcf(c_251035,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sK3(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ sdtlseqdt0(sK3(sz00,xp),X0) ),
inference(superposition,[status(thm)],[c_248470,c_71]) ).
tcf(c_251036,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(sz00,X0))
| ( sK3(sz00,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ sdtlseqdt0(sK3(sz00,sK2),X0) ),
inference(superposition,[status(thm)],[c_248469,c_71]) ).
tcf(c_251037,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xl,X0))
| ( sK3(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xm))
| ~ sdtlseqdt0(sK3(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_248468,c_71]) ).
tcf(c_251038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xq))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_63,c_71]) ).
tcf(c_251039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xq))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(superposition,[status(thm)],[c_543,c_71]) ).
tcf(c_251040,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_247978,c_71]) ).
tcf(c_251041,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_247975,c_71]) ).
tcf(c_251042,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sK3(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ sdtlseqdt0(X0,sK3(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_248465,c_71]) ).
tcf(c_251043,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_247972,c_71]) ).
tcf(c_251044,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_247973,c_71]) ).
tcf(c_251045,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_247974,c_71]) ).
tcf(c_251046,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_247976,c_71]) ).
tcf(c_251047,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK2)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_247977,c_71]) ).
tcf(c_251048,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_247983,c_71]) ).
tcf(c_251049,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_247984,c_71]) ).
tcf(c_251050,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_247985,c_71]) ).
tcf(c_251051,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_247986,c_71]) ).
tcf(c_251052,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_247987,c_71]) ).
tcf(c_251053,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2)
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(superposition,[status(thm)],[c_247988,c_71]) ).
tcf(c_251054,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_248247,c_71]) ).
tcf(c_251055,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_248248,c_71]) ).
tcf(c_251056,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sK3(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,xp))
| ~ sdtlseqdt0(X0,sK3(xp,xp)) ),
inference(superposition,[status(thm)],[c_248464,c_71]) ).
tcf(c_251057,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xl)
| ( sK3(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xl))
| ~ sdtlseqdt0(X0,sK3(xl,xl)) ),
inference(superposition,[status(thm)],[c_248463,c_71]) ).
tcf(c_251058,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sK3(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,xm))
| ~ sdtlseqdt0(X0,sK3(xm,xm)) ),
inference(superposition,[status(thm)],[c_248462,c_71]) ).
tcf(c_251059,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sK3(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,xn))
| ~ sdtlseqdt0(X0,sK3(xn,xn)) ),
inference(superposition,[status(thm)],[c_248461,c_71]) ).
tcf(c_251060,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( sK3(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ sdtlseqdt0(X0,sK3(xq,xq)) ),
inference(superposition,[status(thm)],[c_248460,c_71]) ).
tcf(c_251061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK2)
| ( sK3(sK2,sK2) = X0 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK2,sK2))
| ~ sdtlseqdt0(X0,sK3(sK2,sK2)) ),
inference(superposition,[status(thm)],[c_248459,c_71]) ).
tcf(c_251062,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| ( sK3(sz00,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xl))
| ~ sdtlseqdt0(X0,sK3(sz00,xl)) ),
inference(superposition,[status(thm)],[c_248475,c_71]) ).
tcf(c_251063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sK3(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ sdtlseqdt0(X0,sK3(sz00,xm)) ),
inference(superposition,[status(thm)],[c_248474,c_71]) ).
tcf(c_251064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sK3(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ sdtlseqdt0(X0,sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_248473,c_71]) ).
tcf(c_251065,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248472,c_71]) ).
tcf(c_251066,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( sK3(sz00,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ sdtlseqdt0(X0,sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_248471,c_71]) ).
tcf(c_251067,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK3(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ sdtlseqdt0(X0,sK3(sz00,xp)) ),
inference(superposition,[status(thm)],[c_248470,c_71]) ).
tcf(c_251068,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2)
| ( sK3(sz00,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ sdtlseqdt0(X0,sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_248469,c_71]) ).
tcf(c_251069,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xm)
| ( sK3(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xm))
| ~ sdtlseqdt0(X0,sK3(xl,xm)) ),
inference(superposition,[status(thm)],[c_248468,c_71]) ).
tcf(c_251070,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_71,c_112]) ).
tcf(c_251071,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(X0,X1),sdtpldt0(X0,X2))),xp) = sK3(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_71,c_249177]) ).
tcf(c_251072,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,X2))
| sdtlseqdt0(sdtpldt0(X0,X1),xp)
| ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_71,c_249154]) ).
tcf(c_251073,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_71,c_113]) ).
tcf(c_251074,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK3(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_71,c_76]) ).
tcf(c_251075,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251040,c_106]) ).
tcf(c_251080,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251008,c_106]) ).
tcf(c_251085,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2)
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251053,c_65,c_106]) ).
tcf(c_251090,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251052,c_62,c_106]) ).
tcf(c_251095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251051,c_59,c_106]) ).
tcf(c_251100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251050,c_106,c_51]) ).
tcf(c_251105,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251049,c_106,c_50]) ).
tcf(c_251110,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251048,c_106,c_49]) ).
tcf(c_251115,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK2)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251047,c_65,c_106]) ).
tcf(c_251120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251046,c_62,c_106]) ).
tcf(c_251125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251045,c_106,c_51]) ).
tcf(c_251130,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251044,c_106,c_50]) ).
tcf(c_251135,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251043,c_106,c_49]) ).
tcf(c_251140,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251041,c_59,c_106]) ).
tcf(c_251145,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(sz00,X0))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251021,c_65,c_106]) ).
tcf(c_251150,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251020,c_62,c_106]) ).
tcf(c_251155,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251019,c_59,c_106]) ).
tcf(c_251160,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251018,c_106,c_51]) ).
tcf(c_251165,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251017,c_106,c_50]) ).
tcf(c_251170,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251016,c_106,c_49]) ).
tcf(c_251175,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(sK2,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251015,c_65,c_106]) ).
tcf(c_251180,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251014,c_62,c_106]) ).
tcf(c_251185,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251013,c_106,c_51]) ).
tcf(c_251190,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251012,c_106,c_50]) ).
tcf(c_251195,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251011,c_106,c_49]) ).
tcf(c_251200,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251009,c_59,c_106]) ).
tcf(c_251205,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xq))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251039,c_65,c_50]) ).
tcf(c_251210,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xq))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251038,c_51,c_50]) ).
tcf(c_251215,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xm,X0))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251007,c_65,c_50]) ).
tcf(c_251220,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xm,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251006,c_51,c_50]) ).
tcf(c_251225,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xm)
| ( sK3(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xm))
| ~ sdtlseqdt0(X0,sK3(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251069,c_49]) ).
tcf(c_251231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2)
| ( sK3(sz00,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ sdtlseqdt0(X0,sK3(sz00,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251068,c_106]) ).
tcf(c_251237,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK3(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ sdtlseqdt0(X0,sK3(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251067,c_106]) ).
tcf(c_251243,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( sK3(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ sdtlseqdt0(X0,sK3(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251066,c_106]) ).
tcf(c_251249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251065,c_62]) ).
tcf(c_251255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sK3(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ sdtlseqdt0(X0,sK3(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251064,c_106]) ).
tcf(c_251261,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sK3(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ sdtlseqdt0(X0,sK3(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251063,c_106]) ).
tcf(c_251267,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| ( sK3(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xl))
| ~ sdtlseqdt0(X0,sK3(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251062,c_106]) ).
tcf(c_251273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK2)
| ( sK3(sK2,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK2,sK2))
| ~ sdtlseqdt0(X0,sK3(sK2,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251061,c_65]) ).
tcf(c_251279,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( sK3(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ sdtlseqdt0(X0,sK3(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251060,c_62]) ).
tcf(c_251285,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sK3(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,xn))
| ~ sdtlseqdt0(X0,sK3(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251059,c_51]) ).
tcf(c_251291,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sK3(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,xm))
| ~ sdtlseqdt0(X0,sK3(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251058,c_50]) ).
tcf(c_251297,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xl)
| ( sK3(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xl))
| ~ sdtlseqdt0(X0,sK3(xl,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251057,c_49]) ).
tcf(c_251303,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sK3(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,xp))
| ~ sdtlseqdt0(X0,sK3(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251056,c_59]) ).
tcf(c_251309,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_251055,c_106,c_248038]) ).
tcf(c_251314,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sK3(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ sdtlseqdt0(X0,sK3(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251042,c_106]) ).
tcf(c_251320,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xl,X0))
| ( sK3(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xm))
| ~ sdtlseqdt0(sK3(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251037,c_49]) ).
tcf(c_251326,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(sz00,X0))
| ( sK3(sz00,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ sdtlseqdt0(sK3(sz00,sK2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251036,c_106]) ).
tcf(c_251332,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sK3(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ sdtlseqdt0(sK3(sz00,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251035,c_106]) ).
tcf(c_251338,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( sK3(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ sdtlseqdt0(sK3(sz00,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251034,c_106]) ).
tcf(c_251344,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251033,c_62]) ).
tcf(c_251350,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sK3(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ sdtlseqdt0(sK3(sz00,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251032,c_106]) ).
tcf(c_251356,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sK3(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ sdtlseqdt0(sK3(sz00,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251031,c_106]) ).
tcf(c_251362,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X0))
| ( sK3(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,xl))
| ~ sdtlseqdt0(sK3(sz00,xl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251030,c_106]) ).
tcf(c_251368,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(sK2,X0))
| ( sK3(sK2,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK2,sK2))
| ~ sdtlseqdt0(sK3(sK2,sK2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251029,c_65]) ).
tcf(c_251374,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( sK3(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ sdtlseqdt0(sK3(xq,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251028,c_62]) ).
tcf(c_251380,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sK3(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,xn))
| ~ sdtlseqdt0(sK3(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251027,c_51]) ).
tcf(c_251386,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sK3(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,xm))
| ~ sdtlseqdt0(sK3(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251026,c_50]) ).
tcf(c_251392,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( sK3(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xl))
| ~ sdtlseqdt0(sK3(xl,xl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251025,c_49]) ).
tcf(c_251398,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sK3(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,xp))
| ~ sdtlseqdt0(sK3(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251024,c_59]) ).
tcf(c_251404,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_251023,c_106,c_248038]) ).
tcf(c_251409,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK3(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ sdtlseqdt0(sK3(sz00,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251010,c_106]) ).
tcf(c_251415,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_251054,c_106,c_248038]) ).
tcf(c_251420,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_251022,c_106,c_248038]) ).
tcf(c_251734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_63,c_73]) ).
tcf(c_251735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK2))
| ( X0 = xm )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_543,c_73]) ).
tcf(c_251736,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_247978,c_73]) ).
tcf(c_251737,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_247975,c_73]) ).
tcf(c_251738,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK3(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_248465,c_73]) ).
tcf(c_251739,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sz00))
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_247972,c_73]) ).
tcf(c_251740,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_247973,c_73]) ).
tcf(c_251741,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_247974,c_73]) ).
tcf(c_251742,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sz00))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_247976,c_73]) ).
tcf(c_251743,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(X0,sz00))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(superposition,[status(thm)],[c_247977,c_73]) ).
tcf(c_251744,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_247983,c_73]) ).
tcf(c_251745,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_247984,c_73]) ).
tcf(c_251746,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_247985,c_73]) ).
tcf(c_251747,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_247986,c_73]) ).
tcf(c_251748,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_247987,c_73]) ).
tcf(c_251749,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(X0,sK2))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_247988,c_73]) ).
tcf(c_251750,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_248247,c_73]) ).
tcf(c_251751,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_248248,c_73]) ).
tcf(c_251752,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK3(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK3(xp,xp)) ),
inference(superposition,[status(thm)],[c_248464,c_73]) ).
tcf(c_251753,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sK3(xl,xl)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xl,xl)) ),
inference(superposition,[status(thm)],[c_248463,c_73]) ).
tcf(c_251754,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK3(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK3(xm,xm)) ),
inference(superposition,[status(thm)],[c_248462,c_73]) ).
tcf(c_251755,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK3(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK3(xn,xn)) ),
inference(superposition,[status(thm)],[c_248461,c_73]) ).
tcf(c_251756,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK3(xq,xq)))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xq)) ),
inference(superposition,[status(thm)],[c_248460,c_73]) ).
tcf(c_251757,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(X0,sK3(sK2,sK2)))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0)
| ~ aNaturalNumber0(sK3(sK2,sK2)) ),
inference(superposition,[status(thm)],[c_248459,c_73]) ).
tcf(c_251758,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sK3(sz00,xl)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,xl)) ),
inference(superposition,[status(thm)],[c_248475,c_73]) ).
tcf(c_251759,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK3(sz00,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,xm)) ),
inference(superposition,[status(thm)],[c_248474,c_73]) ).
tcf(c_251760,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK3(sz00,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_248473,c_73]) ).
tcf(c_251761,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248472,c_73]) ).
tcf(c_251762,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK3(sz00,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_248471,c_73]) ).
tcf(c_251763,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK3(sz00,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,xp)) ),
inference(superposition,[status(thm)],[c_248470,c_73]) ).
tcf(c_251764,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(X0,sK3(sz00,sK2)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_248469,c_73]) ).
tcf(c_251765,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK3(xl,xm)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xl,xm)) ),
inference(superposition,[status(thm)],[c_248468,c_73]) ).
tcf(c_251766,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_63,c_73]) ).
tcf(c_251767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_543,c_73]) ).
tcf(c_251768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_247978,c_73]) ).
tcf(c_251769,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_247975,c_73]) ).
tcf(c_251770,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_248465,c_73]) ).
tcf(c_251771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_247972,c_73]) ).
tcf(c_251772,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_247973,c_73]) ).
tcf(c_251773,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_247974,c_73]) ).
tcf(c_251774,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_247976,c_73]) ).
tcf(c_251775,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2)
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(superposition,[status(thm)],[c_247977,c_73]) ).
tcf(c_251776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_247983,c_73]) ).
tcf(c_251777,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_247984,c_73]) ).
tcf(c_251778,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_247985,c_73]) ).
tcf(c_251779,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_247986,c_73]) ).
tcf(c_251780,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_247987,c_73]) ).
tcf(c_251781,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2),sK2)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_247988,c_73]) ).
tcf(c_251782,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_248247,c_73]) ).
tcf(c_251783,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_248248,c_73]) ).
tcf(c_251784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK3(xp,xp)) ),
inference(superposition,[status(thm)],[c_248464,c_73]) ).
tcf(c_251785,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xl,xl)),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xl,xl)) ),
inference(superposition,[status(thm)],[c_248463,c_73]) ).
tcf(c_251786,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xm,xm)) ),
inference(superposition,[status(thm)],[c_248462,c_73]) ).
tcf(c_251787,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xn,xn)) ),
inference(superposition,[status(thm)],[c_248461,c_73]) ).
tcf(c_251788,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xq,xq)),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xq)) ),
inference(superposition,[status(thm)],[c_248460,c_73]) ).
tcf(c_251789,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sK2,sK2)),sK2)
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(sK2,sK2)) ),
inference(superposition,[status(thm)],[c_248459,c_73]) ).
tcf(c_251790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,xl)),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xl)) ),
inference(superposition,[status(thm)],[c_248475,c_73]) ).
tcf(c_251791,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,xm)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xm)) ),
inference(superposition,[status(thm)],[c_248474,c_73]) ).
tcf(c_251792,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,xn)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_248473,c_73]) ).
tcf(c_251793,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),xp)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248472,c_73]) ).
tcf(c_251794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,xq)),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_248471,c_73]) ).
tcf(c_251795,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,xp)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xp)) ),
inference(superposition,[status(thm)],[c_248470,c_73]) ).
tcf(c_251796,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK2)),sK2)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_248469,c_73]) ).
tcf(c_251797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xl,xm)),xm)
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xl,xm)) ),
inference(superposition,[status(thm)],[c_248468,c_73]) ).
tcf(c_251798,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_73,c_112]) ).
tcf(c_251799,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(X0,X1),sdtpldt0(X2,X1))),xp) = sK3(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_73,c_249177]) ).
tcf(c_251800,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xq,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X0,X1),xp)
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_73,c_249154]) ).
tcf(c_251801,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_73,c_113]) ).
tcf(c_251802,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK3(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_73,c_76]) ).
tcf(c_251803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251768,c_106]) ).
tcf(c_251808,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251736,c_106]) ).
tcf(c_251813,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2),sK2)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251781,c_65,c_106]) ).
tcf(c_251818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251780,c_62,c_106]) ).
tcf(c_251823,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251779,c_59,c_106]) ).
tcf(c_251828,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251778,c_106,c_51]) ).
tcf(c_251833,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251777,c_106,c_50]) ).
tcf(c_251838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251776,c_106,c_49]) ).
tcf(c_251843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2)
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251775,c_65,c_106]) ).
tcf(c_251848,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251774,c_62,c_106]) ).
tcf(c_251853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251773,c_106,c_51]) ).
tcf(c_251858,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251772,c_106,c_50]) ).
tcf(c_251863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251771,c_106,c_49]) ).
tcf(c_251868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251769,c_59,c_106]) ).
tcf(c_251873,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(X0,sK2))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251749,c_65,c_106]) ).
tcf(c_251878,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251748,c_62,c_106]) ).
tcf(c_251883,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251747,c_59,c_106]) ).
tcf(c_251888,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251746,c_106,c_51]) ).
tcf(c_251893,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251745,c_106,c_50]) ).
tcf(c_251898,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251744,c_106,c_49]) ).
tcf(c_251903,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(X0,sz00))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251743,c_65,c_106]) ).
tcf(c_251908,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sz00))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251742,c_62,c_106]) ).
tcf(c_251913,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251741,c_106,c_51]) ).
tcf(c_251918,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251740,c_106,c_50]) ).
tcf(c_251923,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sz00))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251739,c_106,c_49]) ).
tcf(c_251928,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251737,c_59,c_106]) ).
tcf(c_251933,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251767,c_65,c_50]) ).
tcf(c_251938,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251766,c_51,c_50]) ).
tcf(c_251943,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK2))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251735,c_65,c_50]) ).
tcf(c_251948,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251734,c_51,c_50]) ).
tcf(c_251953,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xl,xm)),xm)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251797,c_49]) ).
tcf(c_251959,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK2)),sK2)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251796,c_106]) ).
tcf(c_251965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,xp)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251795,c_106]) ).
tcf(c_251971,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,xq)),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251794,c_106]) ).
tcf(c_251977,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),xp)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251793,c_62]) ).
tcf(c_251983,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,xn)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251792,c_106]) ).
tcf(c_251989,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,xm)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251791,c_106]) ).
tcf(c_251995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,xl)),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251790,c_106]) ).
tcf(c_252001,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sK2,sK2)),sK2)
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(sK2,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251789,c_65]) ).
tcf(c_252007,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xq,xq)),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251788,c_62]) ).
tcf(c_252013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251787,c_51]) ).
tcf(c_252019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251786,c_50]) ).
tcf(c_252025,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xl,xl)),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xl,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251785,c_49]) ).
tcf(c_252031,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK3(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251784,c_59]) ).
tcf(c_252037,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251770,c_106]) ).
tcf(c_252043,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK3(xl,xm)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251765,c_49]) ).
tcf(c_252049,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(X0,sK3(sz00,sK2)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251764,c_106]) ).
tcf(c_252055,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK3(sz00,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251763,c_106]) ).
tcf(c_252061,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK3(sz00,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251762,c_106]) ).
tcf(c_252067,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251761,c_62]) ).
tcf(c_252073,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK3(sz00,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251760,c_106]) ).
tcf(c_252079,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK3(sz00,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251759,c_106]) ).
tcf(c_252085,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sK3(sz00,xl)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251758,c_106]) ).
tcf(c_252091,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(X0,sK3(sK2,sK2)))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0)
| ~ aNaturalNumber0(sK3(sK2,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251757,c_65]) ).
tcf(c_252097,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK3(xq,xq)))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251756,c_62]) ).
tcf(c_252103,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK3(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK3(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251755,c_51]) ).
tcf(c_252109,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK3(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK3(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251754,c_50]) ).
tcf(c_252115,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sK3(xl,xl)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xl,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251753,c_49]) ).
tcf(c_252121,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK3(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK3(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251752,c_59]) ).
tcf(c_252127,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK3(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251738,c_106]) ).
tcf(c_252133,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_251782,c_106,c_248038]) ).
tcf(c_252138,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_251750,c_106,c_248038]) ).
tcf(c_252143,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_251783,c_106,c_248038]) ).
tcf(c_252148,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_251751,c_106,c_248038]) ).
tcf(c_252427,plain,
! [X0: $i] :
( aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(X0) ),
inference(resolution,[status(thm)],[c_1612,c_84]) ).
tcf(c_252521,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != xm ) ),
inference(superposition,[status(thm)],[c_60,c_94]) ).
tcf(c_252524,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_247994,c_94]) ).
tcf(c_252525,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_247995,c_94]) ).
tcf(c_252526,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_247996,c_94]) ).
tcf(c_252527,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_247997,c_94]) ).
tcf(c_252528,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_247998,c_94]) ).
tcf(c_252529,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK2,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_247999,c_94]) ).
tcf(c_252537,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_248246,c_94]) ).
tcf(c_252539,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK2,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252529,c_65,c_106]) ).
tcf(c_252544,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252528,c_62,c_106]) ).
tcf(c_252549,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252527,c_38242,c_59,c_106]) ).
tcf(c_252553,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252526,c_106,c_51]) ).
tcf(c_252558,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252525,c_248714,c_106,c_50]) ).
tcf(c_252562,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252524,c_58,c_106,c_49]) ).
tcf(c_252566,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252521,c_58,c_59,c_49]) ).
tcf(c_252570,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252537,c_249981,c_106,c_248038]) ).
tcf(c_252667,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xm ) ),
inference(superposition,[status(thm)],[c_60,c_95]) ).
tcf(c_252669,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK4(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(sz00,sz00))
| ( sdtasdt0(X0,sK4(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_248525,c_95]) ).
tcf(c_252676,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sz00 ) ),
inference(superposition,[status(thm)],[c_248005,c_95]) ).
tcf(c_252677,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_248006,c_95]) ).
tcf(c_252678,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_248007,c_95]) ).
tcf(c_252679,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_248008,c_95]) ).
tcf(c_252680,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_248009,c_95]) ).
tcf(c_252681,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK2) != sz00 ) ),
inference(superposition,[status(thm)],[c_248010,c_95]) ).
tcf(c_252682,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_248245,c_95]) ).
tcf(c_252685,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK2) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252681,c_65,c_106]) ).
tcf(c_252690,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252680,c_62,c_106]) ).
tcf(c_252695,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252679,c_38242,c_59,c_106]) ).
tcf(c_252699,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252678,c_106,c_51]) ).
tcf(c_252704,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252677,c_248714,c_106,c_50]) ).
tcf(c_252708,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252676,c_58,c_106,c_49]) ).
tcf(c_252712,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252667,c_38242,c_59,c_49]) ).
tcf(c_252716,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252682,c_249981,c_106,c_248038]) ).
tcf(c_252720,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK4(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(sz00,sz00))
| ( sdtasdt0(X0,sK4(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252669,c_106]) ).
tcf(c_252860,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(superposition,[status(thm)],[c_250572,c_112]) ).
tcf(c_252861,plain,
( sdtlseqdt0(xq,sK2)
| ( sdtsldt0(sdtasdt0(xp,sK3(sK2,xp)),xp) = sK3(sK2,xp) )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_250572,c_249177]) ).
tcf(c_252863,plain,
( sdtlseqdt0(xq,sK2)
| ( xp = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sK2) ),
inference(superposition,[status(thm)],[c_250572,c_113]) ).
tcf(c_252864,plain,
( sdtlseqdt0(xq,sK2)
| ( sdtpldt0(sK2,sK3(sK2,xp)) = xp )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_250572,c_76]) ).
tcf(c_252865,plain,
( sdtlseqdt0(xq,sK2)
| ( sdtpldt0(sK2,sK3(sK2,xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252864,c_65,c_59]) ).
tcf(c_252868,plain,
( sdtlseqdt0(xq,sK2)
| ( xp = sK2 )
| ~ sdtlseqdt0(xp,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252863,c_65,c_59]) ).
tcf(c_252872,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252860,c_65,c_59]) ).
tcf(c_252877,plain,
( sdtlseqdt0(xq,sK2)
| ( sdtsldt0(sdtasdt0(xp,sK3(sK2,xp)),xp) = sK3(sK2,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252861,c_65,c_59]) ).
tcf(c_252884,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_250575,c_112]) ).
tcf(c_252885,plain,
( sdtlseqdt0(xn,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,xn)),xp) = sK3(xq,xn) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_250575,c_249177]) ).
tcf(c_252887,plain,
( sdtlseqdt0(xn,xp)
| ( xn = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xq) ),
inference(superposition,[status(thm)],[c_250575,c_113]) ).
tcf(c_252888,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xq,sK3(xq,xn)) = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_250575,c_76]) ).
tcf(c_252889,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xq,sK3(xq,xn)) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252888,c_62,c_51]) ).
tcf(c_252892,plain,
( sdtlseqdt0(xn,xp)
| ( xn = xq )
| ~ sdtlseqdt0(xn,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252887,c_62,c_51]) ).
tcf(c_252896,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252884,c_62,c_51]) ).
tcf(c_252901,plain,
( sdtlseqdt0(xn,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,xn)),xp) = sK3(xq,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252885,c_62,c_51]) ).
tcf(c_252947,plain,
sdtlseqdt0(xq,xm),
inference(global_subsumption_just,[status(thm)],[c_250578,c_80765]) ).
tcf(c_252949,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_252947,c_112]) ).
tcf(c_252950,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xq,xm)),xp) = sK3(xq,xm) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_252947,c_249177]) ).
tcf(c_252952,plain,
( ( xm = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xq) ),
inference(superposition,[status(thm)],[c_252947,c_113]) ).
tcf(c_252953,plain,
( ( sdtpldt0(xq,sK3(xq,xm)) = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_252947,c_76]) ).
tcf(c_252954,plain,
sdtpldt0(xq,sK3(xq,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_252953,c_62,c_50]) ).
tcf(c_252955,plain,
( ( xm = xq )
| ~ sdtlseqdt0(xm,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252952,c_62,c_50]) ).
tcf(c_252958,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252949,c_62,c_50]) ).
tcf(c_252962,plain,
sdtsldt0(sdtasdt0(xp,sK3(xq,xm)),xp) = sK3(xq,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_252950,c_62,c_50]) ).
tcf(c_252982,plain,
! [X0: $i] :
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_250581,c_112]) ).
tcf(c_252983,plain,
( sdtlseqdt0(xl,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,xl)),xp) = sK3(xq,xl) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_250581,c_249177]) ).
tcf(c_252985,plain,
( sdtlseqdt0(xl,xp)
| ( xl = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xl,xq) ),
inference(superposition,[status(thm)],[c_250581,c_113]) ).
tcf(c_252986,plain,
( sdtlseqdt0(xl,xp)
| ( sdtpldt0(xq,sK3(xq,xl)) = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_250581,c_76]) ).
tcf(c_252987,plain,
( sdtlseqdt0(xl,xp)
| ( sdtpldt0(xq,sK3(xq,xl)) = xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252986,c_62,c_49]) ).
tcf(c_252990,plain,
( sdtlseqdt0(xl,xp)
| ( xl = xq )
| ~ sdtlseqdt0(xl,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252985,c_62,c_49]) ).
tcf(c_252994,plain,
! [X0: $i] :
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252982,c_62,c_49]) ).
tcf(c_252999,plain,
( sdtlseqdt0(xl,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,xl)),xp) = sK3(xq,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_252983,c_62,c_49]) ).
tcf(c_253013,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( X1 = xq )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X1,sK3(xq,xp)))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_251977,c_112]) ).
tcf(c_253014,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(X0,sK3(xq,xp)),xp)),xp) = sK3(sdtpldt0(X0,sK3(xq,xp)),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_251977,c_249177]) ).
tcf(c_253016,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(X0,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(xp,sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_251977,c_113]) ).
tcf(c_253017,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(sdtpldt0(X0,sK3(xq,xp)),sK3(sdtpldt0(X0,sK3(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_251977,c_76]) ).
tcf(c_253018,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( X1 = xq )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X1,sK3(xq,xp)))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253013,c_59]) ).
tcf(c_253027,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(sdtpldt0(X0,sK3(xq,xp)),sK3(sdtpldt0(X0,sK3(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253017,c_59]) ).
tcf(c_253034,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(X0,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(xp,sdtpldt0(X0,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253016,c_59]) ).
tcf(c_253042,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(X0,sK3(xq,xp)),xp)),xp) = sK3(sdtpldt0(X0,sK3(xq,xp)),xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253014,c_59]) ).
tcf(c_253060,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = xq )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_252067,c_112]) ).
tcf(c_253061,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtsldt0(sdtasdt0(xp,sK3(xp,sdtpldt0(X0,sK3(xq,xp)))),xp) = sK3(xp,sdtpldt0(X0,sK3(xq,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_252067,c_249177]) ).
tcf(c_253063,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(X0,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),xp) ),
inference(superposition,[status(thm)],[c_252067,c_113]) ).
tcf(c_253064,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(xp,sK3(xp,sdtpldt0(X0,sK3(xq,xp)))) = sdtpldt0(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_252067,c_76]) ).
tcf(c_253065,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_252067,c_249932]) ).
tcf(c_253072,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = xq )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253060,c_59]) ).
tcf(c_253081,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(xp,sK3(xp,sdtpldt0(X0,sK3(xq,xp)))) = sdtpldt0(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253064,c_59]) ).
tcf(c_253088,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(X0,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253063,c_59]) ).
tcf(c_253096,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtsldt0(sdtasdt0(xp,sK3(xp,sdtpldt0(X0,sK3(xq,xp)))),xp) = sK3(xp,sdtpldt0(X0,sK3(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253061,c_59]) ).
tcf(c_253115,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_111,c_251249]) ).
tcf(c_253116,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK3(xq,xp) = xq )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_249136,c_251249]) ).
tcf(c_253117,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_249119,c_251249]) ).
tcf(c_253118,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253117,c_62]) ).
tcf(c_253128,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK3(xq,xp) = xq )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),xp)) = xp )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253116,c_62]) ).
tcf(c_253181,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sK3(xq,xp),X0)))
| ( sdtpldt0(sK3(xq,xp),X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK3(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_148,c_251344]) ).
tcf(c_253182,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtasdt0(sK3(xq,xp),X0)))
| ( X0 = sz00 )
| ( sdtasdt0(sK3(xq,xp),X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK3(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_88,c_251344]) ).
tcf(c_253184,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_111,c_251344]) ).
tcf(c_253185,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xp))
| ( sK3(xq,xp) = xp )
| ( sdtpldt0(xq,sK3(xq,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_249145,c_251344]) ).
tcf(c_253186,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,xp))
| ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_249119,c_251344]) ).
tcf(c_253187,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,xp))
| ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253186,c_59]) ).
tcf(c_253197,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xp))
| ( sK3(xq,xp) = xp )
| ( sdtpldt0(xq,sK3(xq,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253185,c_59]) ).
tcf(c_253277,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xq,X1),xp)
| ( sK3(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_112]) ).
tcf(c_253278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),X0)),xp) = sK3(sK3(xq,xp),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_249177]) ).
tcf(c_253279,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_249154]) ).
tcf(c_253281,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_76]) ).
tcf(c_253282,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_249160]) ).
tcf(c_253284,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_251344]) ).
tcf(c_253286,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sK3(xq,xp),X1)
| ( sK3(xq,xp) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(superposition,[status(thm)],[c_253115,c_112]) ).
tcf(c_253287,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xq,X0),xp)),xp) = sK3(sdtpldt0(xq,X0),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_253115,c_249177]) ).
tcf(c_253289,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_253115,c_113]) ).
tcf(c_253290,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK3(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_253115,c_76]) ).
tcf(c_253302,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253282,c_62]) ).
tcf(c_253326,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK3(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253290,c_59]) ).
tcf(c_253333,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253289,c_59]) ).
tcf(c_253341,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sK3(xq,xp),X1)
| ( sK3(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253286,c_59]) ).
tcf(c_253350,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xq,X0),xp)),xp) = sK3(sdtpldt0(xq,X0),xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253287,c_59]) ).
tcf(c_253371,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_60,c_90]) ).
tcf(c_253374,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_247994,c_90]) ).
tcf(c_253375,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_247995,c_90]) ).
tcf(c_253376,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_247996,c_90]) ).
tcf(c_253377,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_247997,c_90]) ).
tcf(c_253378,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_247998,c_90]) ).
tcf(c_253379,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2,X0))
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_247999,c_90]) ).
tcf(c_253387,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_248246,c_90]) ).
tcf(c_253388,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_60,c_90]) ).
tcf(c_253391,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_247994,c_90]) ).
tcf(c_253392,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_247995,c_90]) ).
tcf(c_253393,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_247996,c_90]) ).
tcf(c_253394,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_247997,c_90]) ).
tcf(c_253395,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_247998,c_90]) ).
tcf(c_253396,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2,X0),sz00)
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_247999,c_90]) ).
tcf(c_253404,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_248246,c_90]) ).
tcf(c_253405,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_90,c_112]) ).
tcf(c_253406,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtasdt0(X0,X1),sdtasdt0(X0,X2))),xp) = sK3(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_90,c_249177]) ).
tcf(c_253407,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xq,sdtasdt0(X0,X2))
| sdtlseqdt0(sdtasdt0(X0,X1),xp)
| ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_90,c_249154]) ).
tcf(c_253408,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_90,c_113]) ).
tcf(c_253409,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK3(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_90,c_76]) ).
tcf(c_253410,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2,X0),sz00)
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253396,c_65,c_106]) ).
tcf(c_253416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sz00)
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253395,c_62,c_106]) ).
tcf(c_253422,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253394,c_38242,c_59,c_106]) ).
tcf(c_253427,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253393,c_106,c_51]) ).
tcf(c_253433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253392,c_248714,c_106,c_50]) ).
tcf(c_253438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253391,c_58,c_106,c_49]) ).
tcf(c_253443,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253388,c_58,c_59,c_49]) ).
tcf(c_253448,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2,X0))
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253379,c_65,c_106]) ).
tcf(c_253454,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253378,c_62,c_106]) ).
tcf(c_253460,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253377,c_38242,c_59,c_106]) ).
tcf(c_253465,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253376,c_106,c_51]) ).
tcf(c_253471,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253375,c_248714,c_106,c_50]) ).
tcf(c_253476,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253374,c_58,c_106,c_49]) ).
tcf(c_253481,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253371,c_58,c_59,c_49]) ).
tcf(c_253486,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253404,c_249981,c_106,c_248038]) ).
tcf(c_253491,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253387,c_249981,c_106,c_248038]) ).
tcf(c_253712,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_60,c_92]) ).
tcf(c_253714,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4(sz00,sz00)))
| ( X0 = sz00 )
| ( sK4(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK4(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_248525,c_92]) ).
tcf(c_253721,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_248005,c_92]) ).
tcf(c_253722,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_248006,c_92]) ).
tcf(c_253723,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_248007,c_92]) ).
tcf(c_253724,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_248008,c_92]) ).
tcf(c_253725,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_248009,c_92]) ).
tcf(c_253726,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK2))
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_248010,c_92]) ).
tcf(c_253727,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_248245,c_92]) ).
tcf(c_253729,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),xm)
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_60,c_92]) ).
tcf(c_253731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ( sK4(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK4(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_248525,c_92]) ).
tcf(c_253738,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_248005,c_92]) ).
tcf(c_253739,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_248006,c_92]) ).
tcf(c_253740,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_248007,c_92]) ).
tcf(c_253741,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_248008,c_92]) ).
tcf(c_253742,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_248009,c_92]) ).
tcf(c_253743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK2),sz00)
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_248010,c_92]) ).
tcf(c_253744,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_248245,c_92]) ).
tcf(c_253746,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_92,c_112]) ).
tcf(c_253747,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtasdt0(X0,X1),sdtasdt0(X2,X1))),xp) = sK3(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_92,c_249177]) ).
tcf(c_253748,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xq,sdtasdt0(X2,X1))
| sdtlseqdt0(sdtasdt0(X0,X1),xp)
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_92,c_249154]) ).
tcf(c_253749,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_92,c_113]) ).
tcf(c_253750,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK3(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_92,c_76]) ).
tcf(c_253751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK2),sz00)
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253743,c_65,c_106]) ).
tcf(c_253757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sz00)
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253742,c_62,c_106]) ).
tcf(c_253763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253741,c_38242,c_59,c_106]) ).
tcf(c_253768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253740,c_106,c_51]) ).
tcf(c_253774,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253739,c_248714,c_106,c_50]) ).
tcf(c_253779,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253738,c_58,c_106,c_49]) ).
tcf(c_253784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),xm)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253729,c_38242,c_59,c_49]) ).
tcf(c_253789,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK2))
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253726,c_65,c_106]) ).
tcf(c_253795,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253725,c_62,c_106]) ).
tcf(c_253801,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253724,c_38242,c_59,c_106]) ).
tcf(c_253806,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253723,c_106,c_51]) ).
tcf(c_253812,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253722,c_248714,c_106,c_50]) ).
tcf(c_253817,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253721,c_58,c_106,c_49]) ).
tcf(c_253822,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253712,c_38242,c_59,c_49]) ).
tcf(c_253827,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xq)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253744,c_249981,c_106,c_248038]) ).
tcf(c_253832,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ( sK4(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK4(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253731,c_106]) ).
tcf(c_253839,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253727,c_249981,c_106,c_248038]) ).
tcf(c_253844,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4(sz00,sz00)))
| ( X0 = sz00 )
| ( sK4(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK4(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_253714,c_106]) ).
tcf(c_254022,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4(sK2,sz00)))
| ( X0 = sK2 )
| ( sK4(sK2,sz00) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0)
| ~ aNaturalNumber0(sK4(sK2,sz00)) ),
inference(superposition,[status(thm)],[c_248526,c_92]) ).
tcf(c_254025,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( sK4(sK2,sz00) = X0 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(sK2,sz00))
| ( sdtasdt0(sK2,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_248526,c_94]) ).
tcf(c_254026,plain,
( ( sz00 = sK2 )
| ( sK4(sK2,sz00) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK4(sK2,sz00)) ),
inference(superposition,[status(thm)],[c_248526,c_93]) ).
tcf(c_254029,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2,X0))
| ( sz00 = sK2 )
| ( sK4(sK2,sz00) = X0 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(sK2,sz00))
| ~ sdtlseqdt0(sK4(sK2,sz00),X0) ),
inference(superposition,[status(thm)],[c_248526,c_90]) ).
tcf(c_254030,plain,
( sdtlseqdt0(sK2,sz00)
| ( sK4(sK2,sz00) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK4(sK2,sz00)) ),
inference(superposition,[status(thm)],[c_248526,c_88]) ).
tcf(c_254031,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2,X0),sz00)
| ( sz00 = sK2 )
| ( sK4(sK2,sz00) = X0 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(sK2,sz00))
| ~ sdtlseqdt0(X0,sK4(sK2,sz00)) ),
inference(superposition,[status(thm)],[c_248526,c_90]) ).
tcf(c_254032,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( sK4(sK2,sz00) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(sK2,sz00))
| ( sdtasdt0(X0,sK4(sK2,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_248526,c_95]) ).
tcf(c_254033,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(sK2,sz00)),sz00)
| ( X0 = sK2 )
| ( sK4(sK2,sz00) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK4(sK2,sz00)) ),
inference(superposition,[status(thm)],[c_248526,c_92]) ).
tcf(c_254034,plain,
( sdtlseqdt0(sK2,sz00)
| ( sK4(sK2,sz00) = sz00 )
| ~ aNaturalNumber0(sK4(sK2,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254030,c_65]) ).
tcf(c_254038,plain,
( ( sz00 = sK2 )
| ( sK4(sK2,sz00) = sz00 )
| ~ aNaturalNumber0(sK4(sK2,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254026,c_65]) ).
tcf(c_254042,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( sK4(sK2,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(sK2,sz00))
| ( sdtasdt0(sK2,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254025,c_65]) ).
tcf(c_254048,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( sK4(sK2,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(sK2,sz00))
| ( sdtasdt0(X0,sK4(sK2,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254032,c_65]) ).
tcf(c_254054,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(sK2,sz00)),sz00)
| ( X0 = sK2 )
| ( sK4(sK2,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK4(sK2,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254033,c_65]) ).
tcf(c_254061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2,X0),sz00)
| ( sz00 = sK2 )
| ( sK4(sK2,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(sK2,sz00))
| ~ sdtlseqdt0(X0,sK4(sK2,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254031,c_65]) ).
tcf(c_254068,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2,X0))
| ( sz00 = sK2 )
| ( sK4(sK2,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(sK2,sz00))
| ~ sdtlseqdt0(sK4(sK2,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254029,c_65]) ).
tcf(c_254075,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4(sK2,sz00)))
| ( X0 = sK2 )
| ( sK4(sK2,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0)
| ~ aNaturalNumber0(sK4(sK2,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254022,c_65]) ).
tcf(c_254082,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4(xn,sz00)))
| ( X0 = xn )
| ( sK4(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK4(xn,sz00)) ),
inference(superposition,[status(thm)],[c_248527,c_92]) ).
tcf(c_254085,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK4(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xn,sz00))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_248527,c_94]) ).
tcf(c_254086,plain,
( ( xn = sz00 )
| ( sK4(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK4(xn,sz00)) ),
inference(superposition,[status(thm)],[c_248527,c_93]) ).
tcf(c_254089,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK4(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xn,sz00))
| ~ sdtlseqdt0(sK4(xn,sz00),X0) ),
inference(superposition,[status(thm)],[c_248527,c_90]) ).
tcf(c_254090,plain,
( sdtlseqdt0(xn,sz00)
| ( sK4(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK4(xn,sz00)) ),
inference(superposition,[status(thm)],[c_248527,c_88]) ).
tcf(c_254091,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( sK4(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xn,sz00))
| ~ sdtlseqdt0(X0,sK4(xn,sz00)) ),
inference(superposition,[status(thm)],[c_248527,c_90]) ).
tcf(c_254092,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK4(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xn,sz00))
| ( sdtasdt0(X0,sK4(xn,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_248527,c_95]) ).
tcf(c_254093,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xn,sz00)),sz00)
| ( X0 = xn )
| ( sK4(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK4(xn,sz00)) ),
inference(superposition,[status(thm)],[c_248527,c_92]) ).
tcf(c_254094,plain,
( sdtlseqdt0(xn,sz00)
| ( sK4(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sK4(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254090,c_51]) ).
tcf(c_254098,plain,
( ( xn = sz00 )
| ( sK4(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sK4(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254086,c_51]) ).
tcf(c_254102,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK4(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xn,sz00))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254085,c_51]) ).
tcf(c_254108,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK4(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xn,sz00))
| ( sdtasdt0(X0,sK4(xn,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254092,c_51]) ).
tcf(c_254114,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xn,sz00)),sz00)
| ( X0 = xn )
| ( sK4(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK4(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254093,c_51]) ).
tcf(c_254121,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( sK4(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xn,sz00))
| ~ sdtlseqdt0(X0,sK4(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254091,c_51]) ).
tcf(c_254128,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK4(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xn,sz00))
| ~ sdtlseqdt0(sK4(xn,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254089,c_51]) ).
tcf(c_254135,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4(xn,sz00)))
| ( X0 = xn )
| ( sK4(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK4(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254082,c_51]) ).
tcf(c_254175,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4(xq,sz00)))
| ( X0 = xq )
| ( sK4(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK4(xq,sz00)) ),
inference(superposition,[status(thm)],[c_248528,c_92]) ).
tcf(c_254178,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sK4(xq,sz00) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xq,sz00))
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_248528,c_94]) ).
tcf(c_254179,plain,
( ( sz00 = xq )
| ( sK4(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK4(xq,sz00)) ),
inference(superposition,[status(thm)],[c_248528,c_93]) ).
tcf(c_254182,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( sK4(xq,sz00) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xq,sz00))
| ~ sdtlseqdt0(sK4(xq,sz00),X0) ),
inference(superposition,[status(thm)],[c_248528,c_90]) ).
tcf(c_254183,plain,
( sdtlseqdt0(xq,sz00)
| ( sK4(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK4(xq,sz00)) ),
inference(superposition,[status(thm)],[c_248528,c_88]) ).
tcf(c_254184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sz00)
| ( sz00 = xq )
| ( sK4(xq,sz00) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xq,sz00))
| ~ sdtlseqdt0(X0,sK4(xq,sz00)) ),
inference(superposition,[status(thm)],[c_248528,c_90]) ).
tcf(c_254185,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sK4(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xq,sz00))
| ( sdtasdt0(X0,sK4(xq,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_248528,c_95]) ).
tcf(c_254186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xq,sz00)),sz00)
| ( X0 = xq )
| ( sK4(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK4(xq,sz00)) ),
inference(superposition,[status(thm)],[c_248528,c_92]) ).
tcf(c_254187,plain,
( sdtlseqdt0(xq,sz00)
| ( sK4(xq,sz00) = sz00 )
| ~ aNaturalNumber0(sK4(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254183,c_62]) ).
tcf(c_254191,plain,
( ( sz00 = xq )
| ( sK4(xq,sz00) = sz00 )
| ~ aNaturalNumber0(sK4(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254179,c_62]) ).
tcf(c_254195,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sK4(xq,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xq,sz00))
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254178,c_62]) ).
tcf(c_254201,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sK4(xq,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xq,sz00))
| ( sdtasdt0(X0,sK4(xq,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254185,c_62]) ).
tcf(c_254207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xq,sz00)),sz00)
| ( X0 = xq )
| ( sK4(xq,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK4(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254186,c_62]) ).
tcf(c_254214,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sz00)
| ( sz00 = xq )
| ( sK4(xq,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xq,sz00))
| ~ sdtlseqdt0(X0,sK4(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254184,c_62]) ).
tcf(c_254221,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( sK4(xq,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xq,sz00))
| ~ sdtlseqdt0(sK4(xq,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254182,c_62]) ).
tcf(c_254228,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4(xq,sz00)))
| ( X0 = xq )
| ( sK4(xq,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK4(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254175,c_62]) ).
tcf(c_254235,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4(xp,sz00)))
| ( X0 = xp )
| ( sK4(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK4(xp,sz00)) ),
inference(superposition,[status(thm)],[c_248529,c_92]) ).
tcf(c_254238,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK4(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xp,sz00))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_248529,c_94]) ).
tcf(c_254239,plain,
( ( sz00 = xp )
| ( sK4(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK4(xp,sz00)) ),
inference(superposition,[status(thm)],[c_248529,c_93]) ).
tcf(c_254242,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sK4(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xp,sz00))
| ~ sdtlseqdt0(sK4(xp,sz00),X0) ),
inference(superposition,[status(thm)],[c_248529,c_90]) ).
tcf(c_254243,plain,
( sdtlseqdt0(xp,sz00)
| ( sK4(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK4(xp,sz00)) ),
inference(superposition,[status(thm)],[c_248529,c_88]) ).
tcf(c_254244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sz00 = xp )
| ( sK4(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xp,sz00))
| ~ sdtlseqdt0(X0,sK4(xp,sz00)) ),
inference(superposition,[status(thm)],[c_248529,c_90]) ).
tcf(c_254245,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK4(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xp,sz00))
| ( sdtasdt0(X0,sK4(xp,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_248529,c_95]) ).
tcf(c_254246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xp,sz00)),sz00)
| ( X0 = xp )
| ( sK4(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK4(xp,sz00)) ),
inference(superposition,[status(thm)],[c_248529,c_92]) ).
tcf(c_254247,plain,
( ( sK4(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sK4(xp,sz00)) ),
inference(superposition,[status(thm)],[c_248529,c_252549]) ).
tcf(c_254252,plain,
! [X0: $i] :
( ( sK4(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xp,sz00))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254238,c_38242,c_59]) ).
tcf(c_254257,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK4(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xp,sz00))
| ( sdtasdt0(X0,sK4(xp,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254245,c_59]) ).
tcf(c_254263,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xp,sz00)),sz00)
| ( X0 = xp )
| ( sK4(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK4(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254246,c_59]) ).
tcf(c_254270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sK4(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xp,sz00))
| ~ sdtlseqdt0(X0,sK4(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254244,c_38242,c_59]) ).
tcf(c_254276,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sK4(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xp,sz00))
| ~ sdtlseqdt0(sK4(xp,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254242,c_38242,c_59]) ).
tcf(c_254282,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4(xp,sz00)))
| ( X0 = xp )
| ( sK4(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK4(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254235,c_59]) ).
tcf(c_254289,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4(xm,sz00)))
| ( X0 = xm )
| ( sK4(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK4(xm,sz00)) ),
inference(superposition,[status(thm)],[c_248530,c_92]) ).
tcf(c_254292,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK4(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xm,sz00))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_248530,c_94]) ).
tcf(c_254293,plain,
( ( xm = sz00 )
| ( sK4(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK4(xm,sz00)) ),
inference(superposition,[status(thm)],[c_248530,c_93]) ).
tcf(c_254296,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK4(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xm,sz00))
| ~ sdtlseqdt0(sK4(xm,sz00),X0) ),
inference(superposition,[status(thm)],[c_248530,c_90]) ).
tcf(c_254297,plain,
( sdtlseqdt0(xm,sz00)
| ( sK4(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK4(xm,sz00)) ),
inference(superposition,[status(thm)],[c_248530,c_88]) ).
tcf(c_254298,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sK4(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xm,sz00))
| ~ sdtlseqdt0(X0,sK4(xm,sz00)) ),
inference(superposition,[status(thm)],[c_248530,c_90]) ).
tcf(c_254299,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK4(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xm,sz00))
| ( sdtasdt0(X0,sK4(xm,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_248530,c_95]) ).
tcf(c_254300,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xm,sz00)),sz00)
| ( X0 = xm )
| ( sK4(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK4(xm,sz00)) ),
inference(superposition,[status(thm)],[c_248530,c_92]) ).
tcf(c_254305,plain,
( ( sK4(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK4(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254293,c_248714,c_50]) ).
tcf(c_254308,plain,
! [X0: $i] :
( ( sK4(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xm,sz00))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254292,c_248714,c_50]) ).
tcf(c_254313,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK4(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xm,sz00))
| ( sdtasdt0(X0,sK4(xm,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254299,c_50]) ).
tcf(c_254319,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xm,sz00)),sz00)
| ( X0 = xm )
| ( sK4(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK4(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254300,c_50]) ).
tcf(c_254326,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( sK4(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xm,sz00))
| ~ sdtlseqdt0(X0,sK4(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254298,c_248714,c_50]) ).
tcf(c_254332,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( sK4(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xm,sz00))
| ~ sdtlseqdt0(sK4(xm,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254296,c_248714,c_50]) ).
tcf(c_254338,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4(xm,sz00)))
| ( X0 = xm )
| ( sK4(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK4(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254289,c_50]) ).
tcf(c_254395,plain,
! [X0: $i] :
( ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ( X0 = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_253422,c_14938]) ).
tcf(c_254396,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(renaming,[status(thm)],[c_254395]) ).
tcf(c_254405,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_254396]) ).
tcf(c_254409,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_254396]) ).
tcf(c_254410,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254405,c_106]) ).
tcf(c_254414,plain,
( sdtlseqdt0(xq,xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_254409,c_247976]) ).
tcf(c_254415,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_253460,c_106,c_62,c_59,c_69,c_115,c_117,c_128,c_2924,c_2937,c_3120,c_3258,c_7137,c_7711,c_14962]) ).
tcf(c_254425,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_254415,c_112]) ).
tcf(c_254426,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtasdt0(xp,X0))),xp) = sK3(sz00,sdtasdt0(xp,X0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_254415,c_249177]) ).
tcf(c_254428,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0))
| ~ sdtlseqdt0(sdtasdt0(xp,X0),sz00) ),
inference(superposition,[status(thm)],[c_254415,c_113]) ).
tcf(c_254429,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,sdtasdt0(xp,X0))) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_254415,c_76]) ).
tcf(c_254430,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,sdtasdt0(xp,X0))) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254429,c_106]) ).
tcf(c_254435,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0))
| ~ sdtlseqdt0(sdtasdt0(xp,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254428,c_106]) ).
tcf(c_254441,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254425,c_106]) ).
tcf(c_254448,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtasdt0(xp,X0))),xp) = sK3(sz00,sdtasdt0(xp,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254426,c_106]) ).
tcf(c_254463,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| ( X1 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xl)
| ~ aNaturalNumber0(sdtasdt0(X1,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(X1,xp)) ),
inference(superposition,[status(thm)],[c_253784,c_112]) ).
tcf(c_254464,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtasdt0(X0,xp),xm)),xp) = sK3(sdtasdt0(X0,xp),xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_253784,c_249177]) ).
tcf(c_254466,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(X0,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtasdt0(X0,xp))
| ~ sdtlseqdt0(xm,sdtasdt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_253784,c_113]) ).
tcf(c_254467,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X0,xp),sK3(sdtasdt0(X0,xp),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_253784,c_76]) ).
tcf(c_254468,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sdtasdt0(X0,xp),sK3(sdtasdt0(X0,xp),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254467,c_50]) ).
tcf(c_254474,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(X0,xp) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtasdt0(X0,xp))
| ~ sdtlseqdt0(xm,sdtasdt0(X0,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254466,c_50]) ).
tcf(c_254481,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| ( X1 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xl)
| ~ aNaturalNumber0(sdtasdt0(X1,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(X1,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254463,c_50]) ).
tcf(c_254489,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtasdt0(X0,xp),xm)),xp) = sK3(sdtasdt0(X0,xp),xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254464,c_50]) ).
tcf(c_254498,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_253801,c_106,c_62,c_59,c_69,c_115,c_117,c_128,c_2924,c_2937,c_3120,c_3258,c_7137,c_8857,c_14962]) ).
tcf(c_254508,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_254498,c_112]) ).
tcf(c_254509,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtasdt0(X0,xp))),xp) = sK3(sz00,sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_254498,c_249177]) ).
tcf(c_254511,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,xp),sz00) ),
inference(superposition,[status(thm)],[c_254498,c_113]) ).
tcf(c_254512,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,sdtasdt0(X0,xp))) = sdtasdt0(X0,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_254498,c_76]) ).
tcf(c_254513,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,sdtasdt0(X0,xp))) = sdtasdt0(X0,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254512,c_106]) ).
tcf(c_254518,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254511,c_106]) ).
tcf(c_254524,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254508,c_106]) ).
tcf(c_254531,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtasdt0(X0,xp))),xp) = sK3(sz00,sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254509,c_106]) ).
tcf(c_254546,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X0,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_253822,c_112]) ).
tcf(c_254547,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(sdtasdt0(xp,sK3(xm,sdtasdt0(X0,xp))),xp) = sK3(xm,sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_253822,c_249177]) ).
tcf(c_254548,plain,
! [X0: $i] :
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sdtasdt0(X0,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_253822,c_249154]) ).
tcf(c_254549,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(X0,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,xp),xm) ),
inference(superposition,[status(thm)],[c_253822,c_113]) ).
tcf(c_254550,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xm,sK3(xm,sdtasdt0(X0,xp))) = sdtasdt0(X0,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_253822,c_76]) ).
tcf(c_254551,plain,
! [X0: $i] :
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sdtasdt0(X0,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254548,c_50]) ).
tcf(c_254558,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xm,sK3(xm,sdtasdt0(X0,xp))) = sdtasdt0(X0,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254550,c_50]) ).
tcf(c_254564,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(X0,xp) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,xp),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254549,c_50]) ).
tcf(c_254571,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X0,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254546,c_50]) ).
tcf(c_254579,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(sdtasdt0(xp,sK3(xm,sdtasdt0(X0,xp))),xp) = sK3(xm,sdtasdt0(X0,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254547,c_50]) ).
tcf(c_254593,plain,
( ( sK4(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK4(xp,sz00)) ),
inference(superposition,[status(thm)],[c_247997,c_254252]) ).
tcf(c_254606,plain,
( sdtlseqdt0(xp,xq)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247976,c_253184]) ).
tcf(c_254607,plain,
( sdtlseqdt0(xp,xq)
| sdtlseqdt0(sK3(xq,xq),sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248460,c_253184]) ).
tcf(c_254609,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(X1,sdtpldt0(xq,X0))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_253184,c_112]) ).
tcf(c_254610,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(xp,sdtpldt0(xq,X0))),xp) = sK3(xp,sdtpldt0(xq,X0)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_253184,c_249177]) ).
tcf(c_254612,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),xp) ),
inference(superposition,[status(thm)],[c_253184,c_113]) ).
tcf(c_254613,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(xp,sK3(xp,sdtpldt0(xq,X0))) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_253184,c_76]) ).
tcf(c_254614,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_253184,c_249932]) ).
tcf(c_254615,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X1))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253184,c_112]) ).
tcf(c_254616,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253184,c_249177]) ).
tcf(c_254617,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253184,c_249154]) ).
tcf(c_254619,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253184,c_76]) ).
tcf(c_254623,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254606,c_69,c_106]) ).
tcf(c_254633,plain,
( sdtlseqdt0(sK3(xq,xq),sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254607,c_69]) ).
tcf(c_254661,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(xp,sK3(xp,sdtpldt0(xq,X0))) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254613,c_59]) ).
tcf(c_254668,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254612,c_59]) ).
tcf(c_254676,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(X1,sdtpldt0(xq,X0))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254609,c_59]) ).
tcf(c_254685,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(xp,sdtpldt0(xq,X0))),xp) = sK3(xp,sdtpldt0(xq,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254610,c_59]) ).
tcf(c_254693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xm,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_248484,c_73]) ).
tcf(c_254700,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK3(xm,sdtasdt0(xl,xq))))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_248484,c_73]) ).
tcf(c_254701,plain,
! [X0: $i] :
( ( sK3(xm,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq)))
| ( sdtpldt0(xm,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_248484,c_79]) ).
tcf(c_254702,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xm,X0))
| ( sK3(xm,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK3(xm,sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_248484,c_71]) ).
tcf(c_254703,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xq))
| ( sK3(xm,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_248484,c_71]) ).
tcf(c_254704,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq)))
| ~ doDivides0(X0,sK3(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_248484,c_101]) ).
tcf(c_254705,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK3(xm,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_248484,c_80]) ).
tcf(c_254706,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK3(xm,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254705,c_50]) ).
tcf(c_254711,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq)))
| ~ doDivides0(X0,sK3(xm,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254704,c_50]) ).
tcf(c_254717,plain,
! [X0: $i] :
( ( sK3(xm,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq)))
| ( sdtpldt0(xm,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254701,c_50]) ).
tcf(c_254722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK3(xm,sdtasdt0(xl,xq))))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254700,c_50]) ).
tcf(c_254728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xm,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254693,c_50]) ).
tcf(c_254734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xq))
| ( sK3(xm,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(xm,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254703,c_50]) ).
tcf(c_254740,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xm,X0))
| ( sK3(xm,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK3(xm,sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254702,c_50]) ).
tcf(c_254788,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4(xl,sz00)))
| ( X0 = xl )
| ( sK4(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK4(xl,sz00)) ),
inference(superposition,[status(thm)],[c_248531,c_92]) ).
tcf(c_254791,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sK4(xl,sz00) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sz00))
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_248531,c_94]) ).
tcf(c_254792,plain,
( ( xl = sz00 )
| ( sK4(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK4(xl,sz00)) ),
inference(superposition,[status(thm)],[c_248531,c_93]) ).
tcf(c_254795,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( sK4(xl,sz00) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sz00))
| ~ sdtlseqdt0(sK4(xl,sz00),X0) ),
inference(superposition,[status(thm)],[c_248531,c_90]) ).
tcf(c_254796,plain,
( sdtlseqdt0(xl,sz00)
| ( sK4(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK4(xl,sz00)) ),
inference(superposition,[status(thm)],[c_248531,c_88]) ).
tcf(c_254797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sz00)
| ( xl = sz00 )
| ( sK4(xl,sz00) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sz00))
| ~ sdtlseqdt0(X0,sK4(xl,sz00)) ),
inference(superposition,[status(thm)],[c_248531,c_90]) ).
tcf(c_254798,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK4(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sz00))
| ( sdtasdt0(X0,sK4(xl,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_248531,c_95]) ).
tcf(c_254799,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xl,sz00)),sz00)
| ( X0 = xl )
| ( sK4(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK4(xl,sz00)) ),
inference(superposition,[status(thm)],[c_248531,c_92]) ).
tcf(c_254800,plain,
( ( sK4(xl,sz00) = sz00 )
| ~ aNaturalNumber0(sK4(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254796,c_248668,c_49]) ).
tcf(c_254804,plain,
! [X0: $i] :
( ( sK4(xl,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sz00))
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254791,c_58,c_49]) ).
tcf(c_254809,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK4(xl,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sz00))
| ( sdtasdt0(X0,sK4(xl,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254798,c_49]) ).
tcf(c_254815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xl,sz00)),sz00)
| ( X0 = xl )
| ( sK4(xl,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK4(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254799,c_49]) ).
tcf(c_254822,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sz00)
| ( sK4(xl,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sz00))
| ~ sdtlseqdt0(X0,sK4(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254797,c_58,c_49]) ).
tcf(c_254828,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( sK4(xl,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sz00))
| ~ sdtlseqdt0(sK4(xl,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254795,c_58,c_49]) ).
tcf(c_254834,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4(xl,sz00)))
| ( X0 = xl )
| ( sK4(xl,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK4(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254788,c_49]) ).
tcf(c_254841,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK4(xl,xm)))
| ( X0 = xl )
| ( sK4(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK4(xl,xm)) ),
inference(superposition,[status(thm)],[c_248532,c_92]) ).
tcf(c_254844,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sK4(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,xm))
| ( sdtasdt0(xl,X0) != xm ) ),
inference(superposition,[status(thm)],[c_248532,c_94]) ).
tcf(c_254848,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( sK4(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,xm))
| ~ sdtlseqdt0(sK4(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_248532,c_90]) ).
tcf(c_254850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ( xl = sz00 )
| ( sK4(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,xm))
| ~ sdtlseqdt0(X0,sK4(xl,xm)) ),
inference(superposition,[status(thm)],[c_248532,c_90]) ).
tcf(c_254851,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK4(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,xm))
| ( sdtasdt0(X0,sK4(xl,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_248532,c_95]) ).
tcf(c_254852,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xl,xm)),xm)
| ( X0 = xl )
| ( sK4(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK4(xl,xm)) ),
inference(superposition,[status(thm)],[c_248532,c_92]) ).
tcf(c_254853,plain,
! [X0: $i] :
( ( sK4(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,xm))
| ( sdtasdt0(xl,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254844,c_58,c_49]) ).
tcf(c_254858,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK4(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,xm))
| ( sdtasdt0(X0,sK4(xl,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254851,c_49]) ).
tcf(c_254864,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xl,xm)),xm)
| ( X0 = xl )
| ( sK4(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK4(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254852,c_49]) ).
tcf(c_254871,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ( sK4(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,xm))
| ~ sdtlseqdt0(X0,sK4(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254850,c_58,c_49]) ).
tcf(c_254877,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ( sK4(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,xm))
| ~ sdtlseqdt0(sK4(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254848,c_58,c_49]) ).
tcf(c_254883,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK4(xl,xm)))
| ( X0 = xl )
| ( sK4(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK4(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254841,c_49]) ).
tcf(c_254910,plain,
~ sdtlseqdt0(xm,sz00),
inference(global_subsumption_just,[status(thm)],[c_248665,c_106,c_62,c_59,c_69,c_115,c_117,c_128,c_2924,c_2937,c_3120,c_3258,c_3363,c_3901,c_7137]) ).
tcf(c_254914,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xm)))
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_250123,c_92]) ).
tcf(c_254917,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_250123,c_94]) ).
tcf(c_254918,plain,
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_250123,c_93]) ).
tcf(c_254921,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_250123,c_90]) ).
tcf(c_254922,plain,
( sdtlseqdt0(xm,sz00)
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_250123,c_88]) ).
tcf(c_254923,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_250123,c_90]) ).
tcf(c_254924,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ( sdtasdt0(X0,sdtsldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_250123,c_95]) ).
tcf(c_254925,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xm)),sz00)
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_250123,c_92]) ).
tcf(c_254926,plain,
( ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254922,c_254910,c_50]) ).
tcf(c_254930,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254917,c_248714,c_50]) ).
tcf(c_254935,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ( sdtasdt0(X0,sdtsldt0(sz00,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254924,c_50]) ).
tcf(c_254941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xm)),sz00)
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254925,c_50]) ).
tcf(c_254948,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254923,c_248714,c_50]) ).
tcf(c_254954,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sdtsldt0(sz00,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254921,c_248714,c_50]) ).
tcf(c_254960,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xm)))
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_254914,c_50]) ).
tcf(c_255029,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_250124,c_92]) ).
tcf(c_255032,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_250124,c_94]) ).
tcf(c_255033,plain,
( ( xl = sz00 )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_250124,c_93]) ).
tcf(c_255036,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_250124,c_90]) ).
tcf(c_255037,plain,
( sdtlseqdt0(xl,sz00)
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_250124,c_88]) ).
tcf(c_255038,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_250124,c_90]) ).
tcf(c_255039,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_250124,c_95]) ).
tcf(c_255040,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_250124,c_92]) ).
tcf(c_255041,plain,
( ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255037,c_248668,c_49]) ).
tcf(c_255045,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255032,c_58,c_49]) ).
tcf(c_255050,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_255039,c_49]) ).
tcf(c_255056,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_255040,c_49]) ).
tcf(c_255063,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_255038,c_58,c_49]) ).
tcf(c_255069,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_255036,c_58,c_49]) ).
tcf(c_255075,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_255029,c_49]) ).
tcf(c_255082,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_254623,c_145332]) ).
tcf(c_255088,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255082,c_112]) ).
tcf(c_255089,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sK3(xq,xp))),xp) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255082,c_249177]) ).
tcf(c_255091,plain,
( ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_255082,c_113]) ).
tcf(c_255092,plain,
( ( sdtpldt0(sz00,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255082,c_76]) ).
tcf(c_255094,plain,
( ( sdtpldt0(sz00,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255092,c_106]) ).
tcf(c_255097,plain,
( ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255091,c_106]) ).
tcf(c_255101,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255088,c_106]) ).
tcf(c_255106,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sK3(xq,xp))),xp) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255089,c_106]) ).
tcf(c_255194,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,xq)) ),
inference(superposition,[status(thm)],[c_254633,c_112]) ).
tcf(c_255195,plain,
( ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xq),sK3(xq,xp))),xp) = sK3(sK3(xq,xq),sK3(xq,xp)) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_254633,c_249177]) ).
tcf(c_255196,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xq),xp)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_254633,c_249154]) ).
tcf(c_255197,plain,
( ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(xq,xq)) ),
inference(superposition,[status(thm)],[c_254633,c_113]) ).
tcf(c_255198,plain,
( ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtpldt0(sK3(xq,xq),sK3(sK3(xq,xq),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_254633,c_76]) ).
tcf(c_255199,plain,
( sdtlseqdt0(sdtpldt0(xq,sK3(xq,xq)),xp)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_254633,c_251249]) ).
tcf(c_255200,plain,
( sdtlseqdt0(xq,xp)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_255199,c_248460]) ).
tcf(c_255245,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,xq)) ),
inference(superposition,[status(thm)],[c_255196,c_112]) ).
tcf(c_255246,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xq),xp)),xp) = sK3(sK3(xq,xq),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255196,c_249177]) ).
tcf(c_255248,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xq) = xp )
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(xp,sK3(xq,xq)) ),
inference(superposition,[status(thm)],[c_255196,c_113]) ).
tcf(c_255249,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtpldt0(sK3(xq,xq),sK3(sK3(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255196,c_76]) ).
tcf(c_255250,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtpldt0(sK3(xq,xq),sK3(sK3(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255249,c_59]) ).
tcf(c_255256,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xq) = xp )
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(xp,sK3(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255248,c_59]) ).
tcf(c_255263,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255245,c_59]) ).
tcf(c_255271,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xq),xp)),xp) = sK3(sK3(xq,xq),xp) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255246,c_59]) ).
tcf(c_255291,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xq),X0)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_111,c_255194]) ).
tcf(c_255292,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtpldt0(sK3(xq,xq),sK3(sK3(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_249136,c_255194]) ).
tcf(c_255293,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xq),xp)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_249119,c_255194]) ).
tcf(c_255294,plain,
( sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK3(xq,xq)),xp)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_255194]) ).
tcf(c_255302,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_255294,c_248460]) ).
tcf(c_255304,plain,
( ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtpldt0(sK3(xq,xq),sK3(sK3(xq,xq),sK3(xq,xp))) = sK3(xq,xp) ) ),
inference(global_subsumption_just,[status(thm)],[c_255198,c_9603]) ).
tcf(c_255310,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sK3(xq,xq),sK3(xq,xp))),sK3(xq,xp))
| ( sK3(xq,xq) = X0 )
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ sdtlseqdt0(X0,sK3(xq,xq))
| ~ aNaturalNumber0(sK3(sK3(xq,xq),sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_255304,c_73]) ).
tcf(c_255313,plain,
( ( sK3(xq,xp) = sK3(xq,xq) )
| ( sK3(sK3(xq,xq),sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(sK3(xq,xq),sK3(xq,xp)))
| ( sK3(xq,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_255304,c_78]) ).
tcf(c_255314,plain,
( ( sK3(xq,xq) = sz00 )
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(sK3(xq,xq),sK3(xq,xp)))
| ( sK3(xq,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_255304,c_77]) ).
tcf(c_255315,plain,
( sdtlseqdt0(sK3(xq,xq),sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(sK3(xq,xq),sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_255304,c_148]) ).
tcf(c_255316,plain,
( aNaturalNumber0(sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(sK3(xq,xq),sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_255304,c_87]) ).
tcf(c_255317,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(X0,sK3(sK3(xq,xq),sK3(xq,xp))))
| ( sK3(xq,xq) = X0 )
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ sdtlseqdt0(sK3(xq,xq),X0)
| ~ aNaturalNumber0(sK3(sK3(xq,xq),sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_255304,c_73]) ).
tcf(c_255318,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sK3(xq,xq) )
| ( sK3(sK3(xq,xq),sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(sK3(xq,xq),sK3(xq,xp)))
| ( sdtpldt0(sK3(xq,xq),X0) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_255304,c_79]) ).
tcf(c_255319,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sK3(xq,xq),X0))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ( sK3(sK3(xq,xq),sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(sK3(xq,xq),sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(sK3(xq,xq),sK3(xq,xp)),X0) ),
inference(superposition,[status(thm)],[c_255304,c_71]) ).
tcf(c_255320,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK3(xq,xq),X0),sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ( sK3(sK3(xq,xq),sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(sK3(xq,xq),sK3(xq,xp)))
| ~ sdtlseqdt0(X0,sK3(sK3(xq,xq),sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_255304,c_71]) ).
tcf(c_255321,plain,
! [X0: $i] :
( doDivides0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ doDivides0(X0,sK3(xq,xq))
| ~ aNaturalNumber0(sK3(sK3(xq,xq),sK3(xq,xp)))
| ~ doDivides0(X0,sK3(sK3(xq,xq),sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_255304,c_101]) ).
tcf(c_255322,plain,
! [X0: $i] :
( ( sK3(xq,xq) = X0 )
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(sK3(xq,xq),sK3(xq,xp)))
| ( sdtpldt0(X0,sK3(sK3(xq,xq),sK3(xq,xp))) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_255304,c_80]) ).
tcf(c_255399,plain,
( ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xq),sK3(xq,xp))),xp) = sK3(sK3(xq,xq),sK3(xq,xp)) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_255195,c_48838]) ).
tcf(c_255407,plain,
( ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xq),sK3(xq,xp))),xp) = sK3(sK3(xq,xq),sK3(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_75,c_255399]) ).
tcf(c_255408,plain,
( ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xq),sK3(xq,xp))),xp) = sK3(sK3(xq,xq),sK3(xq,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255407,c_62,c_59,c_248128]) ).
tcf(c_255421,plain,
( ( sdtpldt0(sz00,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_75,c_255094]) ).
tcf(c_255422,plain,
sdtpldt0(sz00,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_255421,c_62,c_59,c_248128]) ).
tcf(c_255423,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(X0,sK4(xl,sdtasdt0(xl,xq))))
| ( X0 = xl )
| ( sK4(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_248533,c_92]) ).
tcf(c_255426,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sK4(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_248533,c_94]) ).
tcf(c_255430,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( sK4(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK4(xl,sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_248533,c_90]) ).
tcf(c_255431,plain,
( sdtlseqdt0(xl,sdtasdt0(xl,xq))
| ( sK4(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_248533,c_88]) ).
tcf(c_255432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sdtasdt0(xl,xq))
| ( xl = sz00 )
| ( sK4(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK4(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_248533,c_90]) ).
tcf(c_255433,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK4(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq)))
| ( sdtasdt0(X0,sK4(xl,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_248533,c_95]) ).
tcf(c_255434,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xl,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( X0 = xl )
| ( sK4(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_248533,c_92]) ).
tcf(c_255435,plain,
( sdtlseqdt0(xl,sdtasdt0(xl,xq))
| ( sK4(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255431,c_49]) ).
tcf(c_255439,plain,
! [X0: $i] :
( ( sK4(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255426,c_58,c_49]) ).
tcf(c_255444,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK4(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq)))
| ( sdtasdt0(X0,sK4(xl,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255433,c_49]) ).
tcf(c_255450,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xl,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( X0 = xl )
| ( sK4(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255434,c_49]) ).
tcf(c_255457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sdtasdt0(xl,xq))
| ( sK4(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK4(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255432,c_58,c_49]) ).
tcf(c_255463,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(xl,X0))
| ( sK4(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK4(xl,sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255430,c_58,c_49]) ).
tcf(c_255469,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(X0,sK4(xl,sdtasdt0(xl,xq))))
| ( X0 = xl )
| ( sK4(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255423,c_49]) ).
tcf(c_255558,plain,
sdtlseqdt0(xq,sdtasdt0(xl,xq)),
inference(global_subsumption_just,[status(thm)],[c_250600,c_77784]) ).
tcf(c_255560,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_255558,c_112]) ).
tcf(c_255561,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtasdt0(xl,xq))),xp) = sK3(xq,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_255558,c_249177]) ).
tcf(c_255563,plain,
( ( sdtasdt0(xl,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xq) ),
inference(superposition,[status(thm)],[c_255558,c_113]) ).
tcf(c_255564,plain,
( ( sdtpldt0(xq,sK3(xq,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_255558,c_76]) ).
tcf(c_255565,plain,
sdtpldt0(xq,sK3(xq,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_255564,c_62,c_248038]) ).
tcf(c_255566,plain,
( ( sdtasdt0(xl,xq) = xq )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255563,c_62,c_248038]) ).
tcf(c_255569,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255560,c_62,c_248038]) ).
tcf(c_255573,plain,
sdtsldt0(sdtasdt0(xp,sK3(xq,sdtasdt0(xl,xq))),xp) = sK3(xq,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_255561,c_62,c_248038]) ).
tcf(c_255574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xq,xm)),xm)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xm)) ),
inference(superposition,[status(thm)],[c_252954,c_73]) ).
tcf(c_255581,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK3(xq,xm)))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xm)) ),
inference(superposition,[status(thm)],[c_252954,c_73]) ).
tcf(c_255582,plain,
! [X0: $i] :
( ( sK3(xq,xm) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xm))
| ( sdtpldt0(xq,X0) != xm ) ),
inference(superposition,[status(thm)],[c_252954,c_79]) ).
tcf(c_255583,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xq,X0))
| ( sK3(xq,xm) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xm))
| ~ sdtlseqdt0(sK3(xq,xm),X0) ),
inference(superposition,[status(thm)],[c_252954,c_71]) ).
tcf(c_255584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK3(xq,xm) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xm))
| ~ sdtlseqdt0(X0,sK3(xq,xm)) ),
inference(superposition,[status(thm)],[c_252954,c_71]) ).
tcf(c_255585,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xm))
| ~ doDivides0(X0,sK3(xq,xm)) ),
inference(superposition,[status(thm)],[c_252954,c_101]) ).
tcf(c_255586,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xm))
| ( sdtpldt0(X0,sK3(xq,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_252954,c_80]) ).
tcf(c_255587,plain,
( sdtlseqdt0(xp,xm)
| sdtlseqdt0(sK3(xq,xm),sK3(xq,xp))
| ( sK3(xq,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xm)) ),
inference(superposition,[status(thm)],[c_252954,c_253184]) ).
tcf(c_255588,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xm))
| ( sK3(xq,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xm)) ),
inference(superposition,[status(thm)],[c_252954,c_253115]) ).
tcf(c_255589,plain,
( ( sK3(xq,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xm))
| ( xm != xp ) ),
inference(superposition,[status(thm)],[c_252954,c_249523]) ).
tcf(c_255594,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xm))
| ( sdtpldt0(X0,sK3(xq,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255586,c_62]) ).
tcf(c_255599,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xm))
| ~ doDivides0(X0,sK3(xq,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255585,c_62]) ).
tcf(c_255605,plain,
! [X0: $i] :
( ( sK3(xq,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xm))
| ( sdtpldt0(xq,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255582,c_62]) ).
tcf(c_255610,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK3(xq,xm)))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255581,c_62]) ).
tcf(c_255616,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xq,xm)),xm)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255574,c_62]) ).
tcf(c_255632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK3(xq,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xm))
| ~ sdtlseqdt0(X0,sK3(xq,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255584,c_62]) ).
tcf(c_255638,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xq,X0))
| ( sK3(xq,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xm))
| ~ sdtlseqdt0(sK3(xq,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255583,c_62]) ).
tcf(c_255753,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK2,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_101,c_248839]) ).
tcf(c_255754,plain,
! [X0: $i] :
( doDivides0(sK2,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_145,c_248839]) ).
tcf(c_255756,plain,
! [X0: $i] :
( doDivides0(sK2,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255754,c_106]) ).
tcf(c_255760,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK2,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255753,c_106]) ).
tcf(c_255773,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_250649,c_112]) ).
tcf(c_255774,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_250649,c_249177]) ).
tcf(c_255776,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_250649,c_113]) ).
tcf(c_255777,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_250649,c_76]) ).
tcf(c_255781,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_250649,c_251249]) ).
tcf(c_255782,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xq),xp)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_250649,c_255194]) ).
tcf(c_255783,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_250649,c_112]) ).
tcf(c_255784,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xp)),xp) = sK3(X0,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_250649,c_249177]) ).
tcf(c_255786,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_250649,c_113]) ).
tcf(c_255787,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_250649,c_76]) ).
tcf(c_255789,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xp))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_250649,c_251344]) ).
tcf(c_255790,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255787,c_59]) ).
tcf(c_255794,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255786,c_59]) ).
tcf(c_255799,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255777,c_106]) ).
tcf(c_255804,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_255783,c_59]) ).
tcf(c_255810,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_255773,c_106]) ).
tcf(c_255816,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xp)),xp) = sK3(X0,xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255784,c_59]) ).
tcf(c_255820,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255774,c_106]) ).
tcf(c_255824,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xp))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255789,c_59]) ).
tcf(c_255829,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_255781,c_247976]) ).
tcf(c_255830,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xq),xp)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255782,c_106]) ).
tcf(c_255885,plain,
! [X0: $i,X1: $i] :
( doDivides0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_101,c_248843]) ).
tcf(c_255886,plain,
! [X0: $i] :
( doDivides0(xn,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_145,c_248843]) ).
tcf(c_255888,plain,
! [X0: $i] :
( doDivides0(xn,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255886,c_106]) ).
tcf(c_255892,plain,
! [X0: $i,X1: $i] :
( doDivides0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255885,c_106]) ).
tcf(c_255905,plain,
! [X0: $i,X1: $i] :
( doDivides0(xq,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_101,c_248847]) ).
tcf(c_255906,plain,
! [X0: $i] :
( doDivides0(xq,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_145,c_248847]) ).
tcf(c_255908,plain,
! [X0: $i] :
( doDivides0(xq,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255906,c_106]) ).
tcf(c_255912,plain,
! [X0: $i,X1: $i] :
( doDivides0(xq,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255905,c_106]) ).
tcf(c_255925,plain,
! [X0: $i,X1: $i] :
( doDivides0(xp,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_101,c_248851]) ).
tcf(c_255926,plain,
! [X0: $i] :
( doDivides0(xp,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_145,c_248851]) ).
tcf(c_255928,plain,
! [X0: $i] :
( doDivides0(xp,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255926,c_106]) ).
tcf(c_255932,plain,
! [X0: $i,X1: $i] :
( doDivides0(xp,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255925,c_106]) ).
tcf(c_255939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_255422,c_73]) ).
tcf(c_255942,plain,
( ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_255422,c_78]) ).
tcf(c_255944,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_255422,c_148]) ).
tcf(c_255945,plain,
( aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_255422,c_87]) ).
tcf(c_255946,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_255422,c_73]) ).
tcf(c_255947,plain,
! [X0: $i] :
( ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(sz00,X0) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_255422,c_79]) ).
tcf(c_255948,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X0))
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(sz00,sK3(xq,xp)),X0) ),
inference(superposition,[status(thm)],[c_255422,c_71]) ).
tcf(c_255949,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_255422,c_71]) ).
tcf(c_255950,plain,
! [X0: $i] :
( doDivides0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ doDivides0(X0,sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_255422,c_101]) ).
tcf(c_255951,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(X0,sK3(sz00,sK3(xq,xp))) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_255422,c_80]) ).
tcf(c_255952,plain,
( aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255945,c_106]) ).
tcf(c_255955,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255944,c_106]) ).
tcf(c_255958,plain,
( ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255942,c_106]) ).
tcf(c_255962,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(X0,sK3(sz00,sK3(xq,xp))) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255951,c_106]) ).
tcf(c_255967,plain,
! [X0: $i] :
( doDivides0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ doDivides0(X0,sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255950,c_106]) ).
tcf(c_255973,plain,
! [X0: $i] :
( ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(sz00,X0) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255947,c_106]) ).
tcf(c_255978,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255946,c_106]) ).
tcf(c_255985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255949,c_106]) ).
tcf(c_255991,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X0))
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(sz00,sK3(xq,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_255948,c_106]) ).
tcf(c_256023,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255101,c_112]) ).
tcf(c_256024,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255101,c_249177]) ).
tcf(c_256025,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255101,c_249154]) ).
tcf(c_256026,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_255101,c_113]) ).
tcf(c_256027,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255101,c_76]) ).
tcf(c_256030,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255101,c_251249]) ).
tcf(c_256075,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sK3(xq,xp))),xp) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_75,c_255106]) ).
tcf(c_256076,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sK3(xq,xp))),xp) = sK3(sz00,sK3(xq,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_256075,c_62,c_59,c_248128]) ).
tcf(c_256077,plain,
( aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,sK3(xq,xp))))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,sK3(xq,xp)))) ),
inference(superposition,[status(thm)],[c_256076,c_108]) ).
tcf(c_256078,plain,
( aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,sK3(xq,xp))))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,sK3(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256077,c_38242,c_59]) ).
tcf(c_256095,plain,
( aNaturalNumber0(sK3(sK3(xq,xq),sK3(xq,xp)))
| ( sz00 = xp )
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sK3(xq,xq),sK3(xq,xp))))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sK3(xq,xq),sK3(xq,xp)))) ),
inference(superposition,[status(thm)],[c_255408,c_108]) ).
tcf(c_256096,plain,
( aNaturalNumber0(sK3(sK3(xq,xq),sK3(xq,xp)))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sK3(xq,xq),sK3(xq,xp))))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sK3(xq,xq),sK3(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256095,c_38242,c_59]) ).
tcf(c_256110,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4(sdtasdt0(xl,xq),sz00)))
| ( sdtasdt0(xl,xq) = X0 )
| ( sK4(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_248688,c_92]) ).
tcf(c_256113,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = sz00 )
| ( sK4(sdtasdt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00))
| ( sdtasdt0(sdtasdt0(xl,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_248688,c_94]) ).
tcf(c_256114,plain,
( ( sdtasdt0(xl,xq) = sz00 )
| ( sK4(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_248688,c_93]) ).
tcf(c_256117,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xq),X0))
| ( sdtasdt0(xl,xq) = sz00 )
| ( sK4(sdtasdt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00))
| ~ sdtlseqdt0(sK4(sdtasdt0(xl,xq),sz00),X0) ),
inference(superposition,[status(thm)],[c_248688,c_90]) ).
tcf(c_256118,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ( sK4(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_248688,c_88]) ).
tcf(c_256119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sz00)
| ( sdtasdt0(xl,xq) = sz00 )
| ( sK4(sdtasdt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00))
| ~ sdtlseqdt0(X0,sK4(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_248688,c_90]) ).
tcf(c_256120,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ( sK4(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00))
| ( sdtasdt0(X0,sK4(sdtasdt0(xl,xq),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_248688,c_95]) ).
tcf(c_256121,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(sdtasdt0(xl,xq),sz00)),sz00)
| ( sdtasdt0(xl,xq) = X0 )
| ( sK4(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_248688,c_92]) ).
tcf(c_256126,plain,
( ( sK4(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256114,c_249981,c_248038]) ).
tcf(c_256129,plain,
! [X0: $i] :
( ( sK4(sdtasdt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00))
| ( sdtasdt0(sdtasdt0(xl,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256113,c_249981,c_248038]) ).
tcf(c_256134,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ( sK4(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00))
| ( sdtasdt0(X0,sK4(sdtasdt0(xl,xq),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256120,c_248038]) ).
tcf(c_256140,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(sdtasdt0(xl,xq),sz00)),sz00)
| ( sdtasdt0(xl,xq) = X0 )
| ( sK4(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256121,c_248038]) ).
tcf(c_256147,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sz00)
| ( sK4(sdtasdt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00))
| ~ sdtlseqdt0(X0,sK4(sdtasdt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256119,c_249981,c_248038]) ).
tcf(c_256153,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xq),X0))
| ( sK4(sdtasdt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00))
| ~ sdtlseqdt0(sK4(sdtasdt0(xl,xq),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256117,c_249981,c_248038]) ).
tcf(c_256159,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4(sdtasdt0(xl,xq),sz00)))
| ( sdtasdt0(xl,xq) = X0 )
| ( sK4(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256110,c_248038]) ).
tcf(c_256172,plain,
! [X0: $i,X1: $i] :
( doDivides0(xm,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_101,c_248855]) ).
tcf(c_256173,plain,
! [X0: $i] :
( doDivides0(xm,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_145,c_248855]) ).
tcf(c_256175,plain,
! [X0: $i] :
( doDivides0(xm,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256173,c_106]) ).
tcf(c_256179,plain,
! [X0: $i,X1: $i] :
( doDivides0(xm,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256172,c_106]) ).
tcf(c_256192,plain,
! [X0: $i,X1: $i] :
( doDivides0(xl,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_101,c_248859]) ).
tcf(c_256193,plain,
! [X0: $i] :
( doDivides0(xl,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_145,c_248859]) ).
tcf(c_256195,plain,
! [X0: $i] :
( doDivides0(xl,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256193,c_106]) ).
tcf(c_256199,plain,
! [X0: $i,X1: $i] :
( doDivides0(xl,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256192,c_106]) ).
tcf(c_256220,plain,
! [X0: $i,X1: $i] :
( doDivides0(xl,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X1)
| ~ doDivides0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_101,c_248863]) ).
tcf(c_256221,plain,
! [X0: $i] :
( doDivides0(xl,sdtasdt0(xm,X0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_145,c_248863]) ).
tcf(c_256223,plain,
! [X0: $i] :
( doDivides0(xl,sdtasdt0(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256221,c_50]) ).
tcf(c_256227,plain,
! [X0: $i,X1: $i] :
( doDivides0(xl,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X1)
| ~ doDivides0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256220,c_50]) ).
tcf(c_256307,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_248934]) ).
tcf(c_256314,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,xl),xp)
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_248934]) ).
tcf(c_256315,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256307,c_49]) ).
tcf(c_256319,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,xl),xp)
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256314,c_49]) ).
tcf(c_256330,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_256315,c_112]) ).
tcf(c_256331,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtsldt0(sdtasdt0(xp,sK3(xl,X0)),xp) = sK3(xl,X0) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_256315,c_249177]) ).
tcf(c_256332,plain,
! [X0: $i] :
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_256315,c_249154]) ).
tcf(c_256333,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_256315,c_113]) ).
tcf(c_256334,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xl,sK3(xl,X0)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_256315,c_76]) ).
tcf(c_256341,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xq),xm)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256315,c_255194]) ).
tcf(c_256342,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_256315,c_112]) ).
tcf(c_256343,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xm)),xp) = sK3(X0,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_256315,c_249177]) ).
tcf(c_256345,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_256315,c_113]) ).
tcf(c_256346,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| ( sdtpldt0(X0,sK3(X0,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_256315,c_76]) ).
tcf(c_256348,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xm))
| sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256315,c_251344]) ).
tcf(c_256349,plain,
! [X0: $i] :
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256332,c_49]) ).
tcf(c_256354,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| ( sdtpldt0(X0,sK3(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256346,c_50]) ).
tcf(c_256358,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256345,c_50]) ).
tcf(c_256363,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xl,sK3(xl,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256334,c_49]) ).
tcf(c_256367,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256333,c_49]) ).
tcf(c_256372,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256342,c_50]) ).
tcf(c_256378,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256330,c_49]) ).
tcf(c_256384,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xm)),xp) = sK3(X0,xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256343,c_50]) ).
tcf(c_256388,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtsldt0(sdtasdt0(xp,sK3(xl,X0)),xp) = sK3(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256331,c_49]) ).
tcf(c_256392,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xm))
| sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256348,c_50]) ).
tcf(c_256397,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xq),xm)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256341,c_49]) ).
tcf(c_256422,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_248938]) ).
tcf(c_256428,plain,
( sdtlseqdt0(sK3(xq,xp),sK2)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_248938]) ).
tcf(c_256429,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256422,c_106]) ).
tcf(c_256433,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK3(xq,xp),sK2)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_256428,c_247976]) ).
tcf(c_256440,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_256429,c_112]) ).
tcf(c_256441,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2)
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_256429,c_249177]) ).
tcf(c_256443,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_256429,c_113]) ).
tcf(c_256444,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2)
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_256429,c_76]) ).
tcf(c_256445,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_256429,c_249160]) ).
tcf(c_256451,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xq),sK2)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256429,c_255194]) ).
tcf(c_256452,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_256429,c_112]) ).
tcf(c_256453,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK2)),xp) = sK3(X0,sK2) )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_256429,c_249177]) ).
tcf(c_256454,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_256429,c_249154]) ).
tcf(c_256455,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(superposition,[status(thm)],[c_256429,c_113]) ).
tcf(c_256456,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK3(X0,sK2)) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_256429,c_76]) ).
tcf(c_256458,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256429,c_251344]) ).
tcf(c_256460,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK3(X0,sK2)) = sK2 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256456,c_65]) ).
tcf(c_256464,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256455,c_65]) ).
tcf(c_256469,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2)
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256444,c_106]) ).
tcf(c_256475,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256452,c_65]) ).
tcf(c_256481,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256440,c_106]) ).
tcf(c_256487,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK2)),xp) = sK3(X0,sK2) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256453,c_65]) ).
tcf(c_256491,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2)
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256441,c_106]) ).
tcf(c_256495,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sK2 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256458,c_65]) ).
tcf(c_256500,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xq),sK2)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256451,c_106]) ).
tcf(c_256550,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xq),X1)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255291,c_112]) ).
tcf(c_256551,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xq),X0)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255291,c_249177]) ).
tcf(c_256552,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xq),X0)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255291,c_249154]) ).
tcf(c_256553,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xq),X0)
| ( sK3(xq,xp) = X0 )
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_255291,c_113]) ).
tcf(c_256554,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xq),X0)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255291,c_76]) ).
tcf(c_256555,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xq),xp)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255291,c_249932]) ).
tcf(c_256557,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xq),X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = X0 )
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255291,c_251249]) ).
tcf(c_256558,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,xq)) ),
inference(superposition,[status(thm)],[c_255291,c_112]) ).
tcf(c_256559,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xq),X0)),xp) = sK3(sK3(xq,xq),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255291,c_249177]) ).
tcf(c_256560,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK3(xq,xq),xp)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255291,c_249154]) ).
tcf(c_256561,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xq) = X0 )
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,xq)) ),
inference(superposition,[status(thm)],[c_255291,c_113]) ).
tcf(c_256562,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sK3(xq,xq) )
| ( sdtpldt0(sK3(xq,xq),sK3(sK3(xq,xq),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255291,c_76]) ).
tcf(c_256563,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xq),X0)
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255291,c_249160]) ).
tcf(c_256568,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xq) = sz00 )
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_255291,c_254396]) ).
tcf(c_256572,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xq) = sz00 )
| ( sK3(xq,xp) = sK3(xq,xq) )
| ~ aNaturalNumber0(sK3(xq,xq))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256568,c_106]) ).
tcf(c_256712,plain,
sK3(xq,xq) = sz00,
inference(global_subsumption_just,[status(thm)],[c_255314,c_12146]) ).
tcf(c_256714,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(demodulation,[status(thm)],[c_255291,c_256712]) ).
tcf(c_256715,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(demodulation,[status(thm)],[c_255315,c_256712]) ).
tcf(c_256717,plain,
( aNaturalNumber0(sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(demodulation,[status(thm)],[c_255316,c_256712]) ).
tcf(c_256719,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(demodulation,[status(thm)],[c_255194,c_256712]) ).
tcf(c_256722,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(demodulation,[status(thm)],[c_254633,c_256712]) ).
tcf(c_256725,plain,
( aNaturalNumber0(sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256717,c_106]) ).
tcf(c_256729,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256715,c_106]) ).
tcf(c_256733,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256714,c_106]) ).
tcf(c_256739,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256719,c_106]) ).
tcf(c_256747,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(sz00,X0) != sK3(xq,xp) ) ),
inference(light_normalisation,[status(thm)],[c_255318,c_256712]) ).
tcf(c_256759,plain,
! [X0: $i] :
( doDivides0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ doDivides0(X0,sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_255321,c_256712]) ).
tcf(c_256760,plain,
! [X0: $i] :
( doDivides0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ doDivides0(X0,sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256759,c_106]) ).
tcf(c_256779,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(X0,sK3(sz00,sK3(xq,xp))) != sK3(xq,xp) ) ),
inference(light_normalisation,[status(thm)],[c_255322,c_256712]) ).
tcf(c_256780,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(X0,sK3(sz00,sK3(xq,xp))) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256779,c_106]) ).
tcf(c_256797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))),sK3(xq,xp))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_255310,c_256712]) ).
tcf(c_256798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))),sK3(xq,xp))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256797,c_106]) ).
tcf(c_256799,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_255317,c_256712]) ).
tcf(c_256800,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256799,c_106]) ).
tcf(c_256820,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X1,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))) ),
inference(superposition,[status(thm)],[c_256800,c_112]) ).
tcf(c_256821,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))),xp) = sK3(sK3(xq,xp),sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))) ),
inference(superposition,[status(thm)],[c_256800,c_249177]) ).
tcf(c_256822,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))) ),
inference(superposition,[status(thm)],[c_256800,c_249154]) ).
tcf(c_256823,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256800,c_113]) ).
tcf(c_256824,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))) = sdtpldt0(X0,sK3(sz00,sK3(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))) ),
inference(superposition,[status(thm)],[c_256800,c_76]) ).
tcf(c_256825,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))) ),
inference(superposition,[status(thm)],[c_256800,c_251344]) ).
tcf(c_256879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249073,c_73]) ).
tcf(c_256886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK3(sz00,sdtasdt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249073,c_73]) ).
tcf(c_256887,plain,
! [X0: $i] :
( ( sK3(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_249073,c_79]) ).
tcf(c_256888,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sz00,X0))
| ( sK3(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK3(sz00,sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_249073,c_71]) ).
tcf(c_256889,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xq))
| ( sK3(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249073,c_71]) ).
tcf(c_256890,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ~ doDivides0(X0,sK3(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249073,c_101]) ).
tcf(c_256891,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK3(sz00,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_249073,c_80]) ).
tcf(c_256892,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK3(sz00,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256891,c_106]) ).
tcf(c_256897,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ~ doDivides0(X0,sK3(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256890,c_106]) ).
tcf(c_256903,plain,
! [X0: $i] :
( ( sK3(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256887,c_106]) ).
tcf(c_256908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK3(sz00,sdtasdt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256886,c_106]) ).
tcf(c_256915,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xq))
| ( sK3(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256889,c_106]) ).
tcf(c_256921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sz00,X0))
| ( sK3(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK3(sz00,sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256888,c_106]) ).
tcf(c_256938,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_248946]) ).
tcf(c_256945,plain,
( sdtlseqdt0(sK3(xq,xp),xq)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_248946]) ).
tcf(c_256946,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_256938,c_106]) ).
tcf(c_256950,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK3(xq,xp),xq)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_256945,c_247976]) ).
tcf(c_257045,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_256946,c_112]) ).
tcf(c_257046,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_256946,c_249177]) ).
tcf(c_257048,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_256946,c_113]) ).
tcf(c_257049,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_256946,c_76]) ).
tcf(c_257059,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_256946,c_112]) ).
tcf(c_257060,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xq)),xp) = sK3(X0,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_256946,c_249177]) ).
tcf(c_257062,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_256946,c_113]) ).
tcf(c_257063,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK3(X0,xq)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_256946,c_76]) ).
tcf(c_257065,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_256946,c_249160]) ).
tcf(c_257067,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xq))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256946,c_251344]) ).
tcf(c_257074,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK3(X0,xq)) = xq )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257063,c_62]) ).
tcf(c_257078,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257062,c_62]) ).
tcf(c_257083,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257049,c_106]) ).
tcf(c_257088,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_257059,c_62]) ).
tcf(c_257094,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_257045,c_106]) ).
tcf(c_257100,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xq)),xp) = sK3(X0,xq) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257060,c_62]) ).
tcf(c_257104,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257046,c_106]) ).
tcf(c_257108,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xq))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257067,c_62]) ).
tcf(c_257190,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_248954]) ).
tcf(c_257198,plain,
( sdtlseqdt0(sK3(xq,xp),xn)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_248954]) ).
tcf(c_257199,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257190,c_106]) ).
tcf(c_257203,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK3(xq,xp),xn)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_257198,c_247976]) ).
tcf(c_257210,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_257199,c_112]) ).
tcf(c_257211,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_257199,c_249177]) ).
tcf(c_257213,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_257199,c_113]) ).
tcf(c_257214,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_257199,c_76]) ).
tcf(c_257215,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_257199,c_249160]) ).
tcf(c_257224,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_257199,c_112]) ).
tcf(c_257225,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xn)),xp) = sK3(X0,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_257199,c_249177]) ).
tcf(c_257226,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_257199,c_249154]) ).
tcf(c_257227,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_257199,c_113]) ).
tcf(c_257228,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK3(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_257199,c_76]) ).
tcf(c_257230,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xn))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257199,c_251344]) ).
tcf(c_257232,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK3(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257228,c_51]) ).
tcf(c_257236,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257227,c_51]) ).
tcf(c_257241,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257214,c_106]) ).
tcf(c_257247,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_257224,c_51]) ).
tcf(c_257253,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_257210,c_106]) ).
tcf(c_257259,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xn)),xp) = sK3(X0,xn) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257225,c_51]) ).
tcf(c_257263,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257211,c_106]) ).
tcf(c_257267,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xn))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257230,c_51]) ).
tcf(c_257280,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_248958]) ).
tcf(c_257289,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_248958]) ).
tcf(c_257290,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257280,c_106]) ).
tcf(c_257294,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK3(xq,xp),xm)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_257289,c_247976]) ).
tcf(c_257301,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_257290,c_112]) ).
tcf(c_257302,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_257290,c_249177]) ).
tcf(c_257304,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_257290,c_113]) ).
tcf(c_257305,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_257290,c_76]) ).
tcf(c_257316,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_257290,c_112]) ).
tcf(c_257317,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xm)),xp) = sK3(X0,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_257290,c_249177]) ).
tcf(c_257319,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_257290,c_113]) ).
tcf(c_257320,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK3(X0,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_257290,c_76]) ).
tcf(c_257322,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xm))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257290,c_251344]) ).
tcf(c_257323,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK3(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257320,c_50]) ).
tcf(c_257327,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257319,c_50]) ).
tcf(c_257332,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257305,c_106]) ).
tcf(c_257337,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_257316,c_50]) ).
tcf(c_257343,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_257301,c_106]) ).
tcf(c_257349,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xm)),xp) = sK3(X0,xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257317,c_50]) ).
tcf(c_257353,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257302,c_106]) ).
tcf(c_257357,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xm))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257322,c_50]) ).
tcf(c_257370,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_248962]) ).
tcf(c_257380,plain,
( sdtlseqdt0(sK3(xq,xp),xl)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_248962]) ).
tcf(c_257381,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257370,c_106]) ).
tcf(c_257385,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK3(xq,xp),xl)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_257380,c_247976]) ).
tcf(c_257392,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_257381,c_112]) ).
tcf(c_257393,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_257381,c_249177]) ).
tcf(c_257395,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_257381,c_113]) ).
tcf(c_257396,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_257381,c_76]) ).
tcf(c_257397,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_257381,c_249160]) ).
tcf(c_257408,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_257381,c_112]) ).
tcf(c_257409,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xl)),xp) = sK3(X0,xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_257381,c_249177]) ).
tcf(c_257410,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_257381,c_249154]) ).
tcf(c_257411,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_257381,c_113]) ).
tcf(c_257412,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK3(X0,xl)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_257381,c_76]) ).
tcf(c_257416,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xl))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257381,c_251344]) ).
tcf(c_257418,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK3(X0,xl)) = xl )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257412,c_49]) ).
tcf(c_257422,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257411,c_49]) ).
tcf(c_257427,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257396,c_106]) ).
tcf(c_257433,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_257408,c_49]) ).
tcf(c_257439,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_257392,c_106]) ).
tcf(c_257445,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xl)),xp) = sK3(X0,xl) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257409,c_49]) ).
tcf(c_257449,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257393,c_106]) ).
tcf(c_257453,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xl))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257416,c_49]) ).
tcf(c_257473,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X0))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(sz00,sK3(xq,xp)),X0) ),
inference(light_normalisation,[status(thm)],[c_255319,c_256712]) ).
tcf(c_257474,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X0))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(sz00,sK3(xq,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257473,c_106]) ).
tcf(c_257494,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,sdtpldt0(sK3(sz00,sK3(xq,xp)),X0)))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sK3(sz00,sK3(xq,xp)),X0) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK3(sz00,sK3(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_148,c_257474]) ).
tcf(c_257495,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,sdtasdt0(sK3(sz00,sK3(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ( sdtasdt0(sK3(sz00,sK3(xq,xp)),X0) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK3(sz00,sK3(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_88,c_257474]) ).
tcf(c_257497,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X0))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_111,c_257474]) ).
tcf(c_257498,plain,
( sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xq))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_256946,c_257474]) ).
tcf(c_257499,plain,
( sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_250649,c_257474]) ).
tcf(c_257500,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ( sdtpldt0(xq,sK3(xq,sK3(sz00,sK3(xq,xp)))) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_249145,c_257474]) ).
tcf(c_257501,plain,
( sdtlseqdt0(xq,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_249119,c_257474]) ).
tcf(c_257502,plain,
( sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xl))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_257381,c_257474]) ).
tcf(c_257503,plain,
( sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xm))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_257290,c_257474]) ).
tcf(c_257504,plain,
( sdtlseqdt0(xl,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xm))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_256315,c_257474]) ).
tcf(c_257505,plain,
( sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xn))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_257199,c_257474]) ).
tcf(c_257506,plain,
( sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,sK2))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_256429,c_257474]) ).
tcf(c_257507,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(sz00,sK3(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_255101,c_257474]) ).
tcf(c_257508,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK3(sz00,sK3(xq,xp))))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_253184,c_257474]) ).
tcf(c_257509,plain,
( sdtlseqdt0(sK3(xq,xp),sK2)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257506,c_247988]) ).
tcf(c_257510,plain,
( sdtlseqdt0(sK3(xq,xp),sK2)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK2 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257509,c_65]) ).
tcf(c_257516,plain,
( sdtlseqdt0(sK3(xq,xp),xn)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257505,c_247985]) ).
tcf(c_257517,plain,
( sdtlseqdt0(sK3(xq,xp),xn)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xn )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257516,c_51]) ).
tcf(c_257523,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(xl,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257504,c_247984]) ).
tcf(c_257524,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(xl,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257523,c_50]) ).
tcf(c_257530,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257503,c_247984]) ).
tcf(c_257531,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257530,c_50]) ).
tcf(c_257537,plain,
( sdtlseqdt0(sK3(xq,xp),xl)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257502,c_247983]) ).
tcf(c_257538,plain,
( sdtlseqdt0(sK3(xq,xp),xl)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xl )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257537,c_49]) ).
tcf(c_257544,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(xq,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257501,c_247986]) ).
tcf(c_257545,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(xq,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257544,c_59]) ).
tcf(c_257551,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257499,c_247986]) ).
tcf(c_257552,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257551,c_59]) ).
tcf(c_257558,plain,
( sdtlseqdt0(sK3(xq,xp),xq)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257498,c_247987]) ).
tcf(c_257559,plain,
( sdtlseqdt0(sK3(xq,xp),xq)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257558,c_62]) ).
tcf(c_257583,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ( sdtpldt0(xq,sK3(xq,sK3(sz00,sK3(xq,xp)))) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257500,c_247986]) ).
tcf(c_257584,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ( sdtpldt0(xq,sK3(xq,sK3(sz00,sK3(xq,xp)))) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257583,c_59]) ).
tcf(c_257702,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_255320,c_256712]) ).
tcf(c_257703,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257702,c_106]) ).
tcf(c_257724,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),X0)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_111,c_257703]) ).
tcf(c_257725,plain,
( sdtlseqdt0(sdtpldt0(sz00,xq),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ( sdtpldt0(sK3(sz00,sK3(xq,xp)),sK3(sK3(sz00,sK3(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_249136,c_257703]) ).
tcf(c_257726,plain,
( sdtlseqdt0(sdtpldt0(sz00,xq),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_249119,c_257703]) ).
tcf(c_257727,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xl)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_257381,c_257703]) ).
tcf(c_257728,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_257290,c_257703]) ).
tcf(c_257729,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xn)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_257199,c_257703]) ).
tcf(c_257730,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xq)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_256946,c_257703]) ).
tcf(c_257731,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),sK2)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_256429,c_257703]) ).
tcf(c_257732,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_250649,c_257703]) ).
tcf(c_257733,plain,
( sdtlseqdt0(sdtpldt0(sz00,xl),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_256315,c_257703]) ).
tcf(c_257734,plain,
( sdtlseqdt0(sdtpldt0(sz00,sK3(xq,xp)),sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK3(sz00,sK3(xq,xp))),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_253115,c_257703]) ).
tcf(c_257735,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257733,c_247983]) ).
tcf(c_257736,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xl )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257735,c_49]) ).
tcf(c_257742,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257732,c_247978]) ).
tcf(c_257743,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257742,c_106]) ).
tcf(c_257749,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),sK2)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257731,c_247978]) ).
tcf(c_257750,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),sK2)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257749,c_106]) ).
tcf(c_257756,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xq)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257730,c_247978]) ).
tcf(c_257757,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xq)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257756,c_106]) ).
tcf(c_257763,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xn)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257729,c_247978]) ).
tcf(c_257764,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xn)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257763,c_106]) ).
tcf(c_257770,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257728,c_247978]) ).
tcf(c_257771,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257770,c_106]) ).
tcf(c_257777,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xl)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257727,c_247978]) ).
tcf(c_257778,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xl)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257777,c_106]) ).
tcf(c_257784,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257726,c_247987]) ).
tcf(c_257785,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257784,c_62]) ).
tcf(c_257803,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ( sdtpldt0(sK3(sz00,sK3(xq,xp)),sK3(sK3(sz00,sK3(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_257725,c_247987]) ).
tcf(c_257804,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ( sdtpldt0(sK3(sz00,sK3(xq,xp)),sK3(sK3(sz00,sK3(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257803,c_62]) ).
tcf(c_257844,plain,
( sdtlseqdt0(xm,xp)
| ( sK3(xq,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xm))
| ~ sdtlseqdt0(sK3(xq,xm),sz00) ),
inference(superposition,[status(thm)],[c_252954,c_256030]) ).
tcf(c_257845,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( sK3(xq,xp) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(superposition,[status(thm)],[c_256030,c_112]) ).
tcf(c_257846,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xq,X0),xp)),xp) = sK3(sdtpldt0(xq,X0),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_256030,c_249177]) ).
tcf(c_257848,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_256030,c_113]) ).
tcf(c_257849,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK3(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_256030,c_76]) ).
tcf(c_257855,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK3(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257849,c_59]) ).
tcf(c_257862,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257848,c_59]) ).
tcf(c_257870,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( sK3(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257845,c_59]) ).
tcf(c_257879,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xq,X0),xp)),xp) = sK3(sdtpldt0(xq,X0),xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257846,c_59]) ).
tcf(c_257901,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sK3(xq,xp))
| ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_71,c_256023]) ).
tcf(c_257902,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X2,X1),sK3(xq,xp))
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_73,c_256023]) ).
tcf(c_257903,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_148,c_256023]) ).
tcf(c_257904,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_88,c_256023]) ).
tcf(c_257905,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sK3(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_90,c_256023]) ).
tcf(c_257906,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X2,X1),sK3(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_92,c_256023]) ).
tcf(c_257908,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK3(xq,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_111,c_256023]) ).
tcf(c_257909,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248101,c_256023]) ).
tcf(c_257910,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_545,c_256023]) ).
tcf(c_257914,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248109,c_256023]) ).
tcf(c_257915,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248108,c_256023]) ).
tcf(c_257916,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248107,c_256023]) ).
tcf(c_257919,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248104,c_256023]) ).
tcf(c_257921,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256946,c_256023]) ).
tcf(c_257922,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248102,c_256023]) ).
tcf(c_257924,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248115,c_256023]) ).
tcf(c_257929,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_249136,c_256023]) ).
tcf(c_257930,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_249119,c_256023]) ).
tcf(c_257931,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257381,c_256023]) ).
tcf(c_257932,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257290,c_256023]) ).
tcf(c_257933,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257199,c_256023]) ).
tcf(c_257934,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256946,c_256023]) ).
tcf(c_257935,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256429,c_256023]) ).
tcf(c_257936,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_250649,c_256023]) ).
tcf(c_257937,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xl,sK3(xq,xp))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256315,c_256023]) ).
tcf(c_257941,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257199,c_256023]) ).
tcf(c_257942,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256429,c_256023]) ).
tcf(c_257943,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_248744,c_256023]) ).
tcf(c_257944,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_255558,c_256023]) ).
tcf(c_257947,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_250575,c_256023]) ).
tcf(c_257949,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_249225,c_256023]) ).
tcf(c_257950,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),sz00) ),
inference(superposition,[status(thm)],[c_253184,c_256023]) ).
tcf(c_257951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_256023]) ).
tcf(c_257956,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_255082,c_256023]) ).
tcf(c_257957,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK3(xq,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_252067,c_256023]) ).
tcf(c_257958,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_256800,c_256023]) ).
tcf(c_257960,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,X0))
| ~ sdtlseqdt0(sdtasdt0(xp,X0),sz00) ),
inference(superposition,[status(thm)],[c_254415,c_256023]) ).
tcf(c_257961,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sK3(xq,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,xp),sz00) ),
inference(superposition,[status(thm)],[c_253822,c_256023]) ).
tcf(c_257962,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,xp),sz00) ),
inference(superposition,[status(thm)],[c_254498,c_256023]) ).
tcf(c_257964,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257916,c_65]) ).
tcf(c_257968,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257915,c_62]) ).
tcf(c_257972,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257914,c_51]) ).
tcf(c_257978,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257924,c_65,c_106]) ).
tcf(c_257982,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257922,c_62,c_106]) ).
tcf(c_257986,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257919,c_106,c_51]) ).
tcf(c_257990,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257949,c_248038]) ).
tcf(c_257994,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257947,c_62,c_51]) ).
tcf(c_257999,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257942,c_65]) ).
tcf(c_258005,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257941,c_51]) ).
tcf(c_258011,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xl,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257937,c_49]) ).
tcf(c_258017,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257936,c_106]) ).
tcf(c_258023,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257935,c_106]) ).
tcf(c_258029,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257934,c_106]) ).
tcf(c_258035,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257933,c_106]) ).
tcf(c_258041,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257932,c_106]) ).
tcf(c_258047,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257931,c_106]) ).
tcf(c_258054,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257921,c_62]) ).
tcf(c_258066,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257944,c_62,c_248038]) ).
tcf(c_258071,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257910,c_50,c_248038]) ).
tcf(c_258081,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257929,c_62]) ).
tcf(c_258093,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257962,c_106]) ).
tcf(c_258100,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,X0))
| ~ sdtlseqdt0(sdtasdt0(xp,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257960,c_106]) ).
tcf(c_258114,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sK3(xq,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257961,c_50]) ).
tcf(c_258122,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257950,c_59]) ).
tcf(c_258130,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK3(xq,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_257957,c_59]) ).
tcf(c_258265,plain,
! [X0: $i] :
( ( sdtpldt0(sK3(xq,xp),X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK3(xq,xp),X0))
| ~ sdtlseqdt0(sdtpldt0(sK3(xq,xp),X0),sz00) ),
inference(superposition,[status(thm)],[c_148,c_256026]) ).
tcf(c_258266,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK3(xq,xp),X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK3(xq,xp),X0))
| ~ sdtlseqdt0(sdtasdt0(sK3(xq,xp),X0),sz00) ),
inference(superposition,[status(thm)],[c_88,c_256026]) ).
tcf(c_258268,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_111,c_256026]) ).
tcf(c_258269,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256946,c_256026]) ).
tcf(c_258276,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257199,c_256026]) ).
tcf(c_258277,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256429,c_256026]) ).
tcf(c_258281,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_256800,c_256026]) ).
tcf(c_258282,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sK2 )
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258277,c_65]) ).
tcf(c_258287,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258276,c_51]) ).
tcf(c_258292,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xq )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258269,c_62]) ).
tcf(c_258341,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,xp)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_75,c_256027]) ).
tcf(c_258342,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258341,c_62,c_59,c_248128]) ).
tcf(c_258349,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249832,c_73]) ).
tcf(c_258356,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249832,c_73]) ).
tcf(c_258357,plain,
! [X0: $i] :
( ( sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ( sdtpldt0(sdtasdt0(xl,xq),X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_249832,c_79]) ).
tcf(c_258358,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sdtasdt0(xl,xq),X0))
| ( sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_249832,c_71]) ).
tcf(c_258359,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sdtasdt0(xl,xq))
| ( sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249832,c_71]) ).
tcf(c_258361,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_249832,c_80]) ).
tcf(c_258362,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258361,c_248038]) ).
tcf(c_258367,plain,
! [X0: $i] :
( ( sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ( sdtpldt0(sdtasdt0(xl,xq),X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258357,c_248038]) ).
tcf(c_258372,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258356,c_248038]) ).
tcf(c_258378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258349,c_248038]) ).
tcf(c_258384,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sdtasdt0(xl,xq))
| ( sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258359,c_248038]) ).
tcf(c_258390,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sdtasdt0(xl,xq),X0))
| ( sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258358,c_248038]) ).
tcf(c_258418,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_252958]) ).
tcf(c_258431,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_252958]) ).
tcf(c_258432,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258418,c_62]) ).
tcf(c_258436,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258431,c_62]) ).
tcf(c_258454,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_258432,c_112]) ).
tcf(c_258455,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_258432,c_256023]) ).
tcf(c_258456,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,X0)),xp) = sK3(xq,X0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_258432,c_249177]) ).
tcf(c_258458,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_258432,c_113]) ).
tcf(c_258459,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xq,sK3(xq,X0)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_258432,c_76]) ).
tcf(c_258473,plain,
( sdtlseqdt0(sdtpldt0(sz00,xq),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_258432,c_257703]) ).
tcf(c_258474,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_258432,c_112]) ).
tcf(c_258476,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xm)),xp) = sK3(X0,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_258432,c_249177]) ).
tcf(c_258478,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_258432,c_113]) ).
tcf(c_258479,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( sdtpldt0(X0,sK3(X0,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_258432,c_76]) ).
tcf(c_258482,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,xm))
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_258432,c_251344]) ).
tcf(c_258483,plain,
( sdtlseqdt0(xq,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xm))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_258432,c_257474]) ).
tcf(c_258484,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( sdtpldt0(X0,sK3(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258479,c_50]) ).
tcf(c_258488,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258478,c_50]) ).
tcf(c_258493,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xq,sK3(xq,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258459,c_62]) ).
tcf(c_258497,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258458,c_62]) ).
tcf(c_258502,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258474,c_50]) ).
tcf(c_258508,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258454,c_62]) ).
tcf(c_258514,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,xm)),xp) = sK3(X0,xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258476,c_50]) ).
tcf(c_258518,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,X0)),xp) = sK3(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258456,c_62]) ).
tcf(c_258522,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258455,c_62]) ).
tcf(c_258528,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,xm))
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258482,c_50]) ).
tcf(c_258533,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(xq,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_258483,c_247984]) ).
tcf(c_258534,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(xq,sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258533,c_50]) ).
tcf(c_258540,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_258473,c_247987]) ).
tcf(c_258541,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258540,c_62]) ).
tcf(c_258646,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_256800,c_254410]) ).
tcf(c_258652,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_254410,c_112]) ).
tcf(c_258653,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_254410,c_256023]) ).
tcf(c_258654,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254410,c_249177]) ).
tcf(c_258656,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_254410,c_113]) ).
tcf(c_258657,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254410,c_76]) ).
tcf(c_258659,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_254410,c_249160]) ).
tcf(c_258670,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_254410,c_257703]) ).
tcf(c_258672,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258657,c_106]) ).
tcf(c_258676,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sz00 = xq )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258659,c_62,c_106]) ).
tcf(c_258681,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258652,c_106]) ).
tcf(c_258687,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258654,c_106]) ).
tcf(c_258692,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_258670,c_247978]) ).
tcf(c_258693,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258692,c_106]) ).
tcf(c_258746,plain,
sdtpldt0(xl,xm) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_50,c_248163]) ).
tcf(c_258747,plain,
sdtpldt0(xl,xn) = sdtpldt0(xn,xl),
inference(superposition,[status(thm)],[c_51,c_248163]) ).
tcf(c_258748,plain,
sdtpldt0(xl,xp) = sdtpldt0(xp,xl),
inference(superposition,[status(thm)],[c_59,c_248163]) ).
tcf(c_258749,plain,
sdtpldt0(xl,xq) = sdtpldt0(xq,xl),
inference(superposition,[status(thm)],[c_62,c_248163]) ).
tcf(c_258750,plain,
sdtpldt0(xl,sK2) = sdtpldt0(sK2,xl),
inference(superposition,[status(thm)],[c_65,c_248163]) ).
tcf(c_258751,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xl) = sdtpldt0(xl,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87,c_248163]) ).
tcf(c_258752,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),xl) = sdtpldt0(xl,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_248163]) ).
tcf(c_258753,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xl) = sdtpldt0(xl,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_248163]) ).
tcf(c_258754,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK4(X0,X1),xl) = sdtpldt0(xl,sK4(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_248163]) ).
tcf(c_258755,plain,
sdtpldt0(xl,sz00) = sdtpldt0(sz00,xl),
inference(superposition,[status(thm)],[c_106,c_248163]) ).
tcf(c_258756,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_108,c_248163]) ).
tcf(c_258757,plain,
sdtpldt0(sdtasdt0(xl,xq),xl) = sdtpldt0(xl,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_248038,c_248163]) ).
tcf(c_258809,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xl))
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_258746,c_73]) ).
tcf(c_258813,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xm,xl) != sz00 ) ),
inference(superposition,[status(thm)],[c_258746,c_77]) ).
tcf(c_258814,plain,
( sdtlseqdt0(xl,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_258746,c_148]) ).
tcf(c_258815,plain,
( aNaturalNumber0(sdtpldt0(xm,xl))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_258746,c_87]) ).
tcf(c_258816,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(X0,xm))
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_258746,c_73]) ).
tcf(c_258817,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != sdtpldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_258746,c_79]) ).
tcf(c_258818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xl,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_258746,c_71]) ).
tcf(c_258819,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),sdtpldt0(xm,xl))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_258746,c_71]) ).
tcf(c_258820,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_258746,c_101]) ).
tcf(c_258821,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_258746,c_80]) ).
tcf(c_258822,plain,
aNaturalNumber0(sdtpldt0(xm,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_258815,c_50,c_49]) ).
tcf(c_258823,plain,
sdtlseqdt0(xl,sdtpldt0(xm,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_258814,c_50,c_49]) ).
tcf(c_258824,plain,
sdtpldt0(xm,xl) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_258813,c_58,c_50,c_49]) ).
tcf(c_258825,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258821,c_50,c_49]) ).
tcf(c_258829,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258820,c_50,c_49]) ).
tcf(c_258834,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != sdtpldt0(xm,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258817,c_50,c_49]) ).
tcf(c_258838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),sdtpldt0(xm,xl))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258819,c_50,c_49]) ).
tcf(c_258843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xl,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258818,c_50,c_49]) ).
tcf(c_258848,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(X0,xm))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258816,c_50,c_49]) ).
tcf(c_258853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xl))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258809,c_50,c_49]) ).
tcf(c_258895,plain,
sdtpldt0(sdtpldt0(xm,xl),xl) = sdtpldt0(xl,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_258822,c_248163]) ).
tcf(c_258896,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtpldt0(xm,xl),X0)),xp) = sdtasdt0(sdtpldt0(xm,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_258822,c_249178]) ).
tcf(c_258897,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtpldt0(xm,xl),X0)),xp) = sdtpldt0(sdtpldt0(xm,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_258822,c_249176]) ).
tcf(c_258898,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,xl)),sdtasdt0(X0,sdtpldt0(xm,xl))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_258822,c_82]) ).
tcf(c_258899,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xl),X1),sdtasdt0(sdtpldt0(xm,xl),X0)) = sdtasdt0(sdtpldt0(xm,xl),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_258822,c_81]) ).
tcf(c_258900,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xl),X1),X0) = sdtasdt0(sdtpldt0(xm,xl),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_258822,c_98]) ).
tcf(c_258901,plain,
sdtsldt0(sdtasdt0(xp,sdtpldt0(xm,xl)),xp) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_258822,c_248772]) ).
tcf(c_258902,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xl),X1),X0) = sdtpldt0(sdtpldt0(xm,xl),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_258822,c_85]) ).
tcf(c_258903,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xl),X0),sdtpldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_258822,c_155]) ).
tcf(c_258904,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xl),X0) = sdtasdt0(X0,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_258822,c_99]) ).
tcf(c_258905,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xl),X0) = sdtpldt0(X0,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_258822,c_86]) ).
tcf(c_258906,plain,
sdtasdt0(sz00,sdtpldt0(xm,xl)) = sz00,
inference(superposition,[status(thm)],[c_258822,c_97]) ).
tcf(c_258907,plain,
sdtasdt0(sdtpldt0(xm,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_258822,c_96]) ).
tcf(c_258908,plain,
sdtpldt0(sz00,sdtpldt0(xm,xl)) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_258822,c_84]) ).
tcf(c_258909,plain,
sdtpldt0(sdtpldt0(xm,xl),sz00) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_258822,c_83]) ).
tcf(c_258955,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258823,c_112]) ).
tcf(c_258956,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sz00) ),
inference(superposition,[status(thm)],[c_258823,c_256023]) ).
tcf(c_258957,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xl,sdtpldt0(xm,xl))),xp) = sK3(xl,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258823,c_249177]) ).
tcf(c_258958,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258823,c_249154]) ).
tcf(c_258959,plain,
( ( sdtpldt0(xm,xl) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),xl) ),
inference(superposition,[status(thm)],[c_258823,c_113]) ).
tcf(c_258960,plain,
( ( sdtpldt0(xl,sK3(xl,sdtpldt0(xm,xl))) = sdtpldt0(xm,xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258823,c_76]) ).
tcf(c_258961,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sdtpldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258958,c_49,c_258822]) ).
tcf(c_258964,plain,
sdtpldt0(xl,sK3(xl,sdtpldt0(xm,xl))) = sdtpldt0(xm,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_258960,c_49,c_258822]) ).
tcf(c_258965,plain,
( ( sdtpldt0(xm,xl) = xl )
| ~ sdtlseqdt0(sdtpldt0(xm,xl),xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258959,c_49,c_258822]) ).
tcf(c_258968,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258955,c_49,c_258822]) ).
tcf(c_258972,plain,
sdtsldt0(sdtasdt0(xp,sK3(xl,sdtpldt0(xm,xl))),xp) = sK3(xl,sdtpldt0(xm,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_258957,c_49,c_258822]) ).
tcf(c_258973,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258956,c_49,c_258822]) ).
tcf(c_258985,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_258342]) ).
tcf(c_258998,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_258342]) ).
tcf(c_258999,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258985,c_106]) ).
tcf(c_259003,plain,
( sdtlseqdt0(xq,xp)
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_258998,c_247976]) ).
tcf(c_259014,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,xp)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_75,c_256024]) ).
tcf(c_259015,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259014,c_62,c_59,c_248128]) ).
tcf(c_259030,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_259015]) ).
tcf(c_259043,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),sK3(xq,xp))),xp) = sK3(sK3(xq,xp),sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_259015]) ).
tcf(c_259044,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259030,c_106]) ).
tcf(c_259048,plain,
( sdtlseqdt0(xq,xp)
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),sK3(xq,xp))),xp) = sK3(sK3(xq,xp),sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_259043,c_247976]) ).
tcf(c_259049,plain,
( sdtlseqdt0(sz00,xm)
| sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_256397,c_256712]) ).
tcf(c_259052,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_256552,c_256712]) ).
tcf(c_259053,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259052,c_106]) ).
tcf(c_259054,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,xp)
| sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_256560,c_256712]) ).
tcf(c_259059,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_250119,c_92]) ).
tcf(c_259062,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_250119,c_94]) ).
tcf(c_259063,plain,
( ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_250119,c_93]) ).
tcf(c_259066,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_250119,c_90]) ).
tcf(c_259067,plain,
( sdtlseqdt0(xq,sz00)
| ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_250119,c_88]) ).
tcf(c_259068,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_250119,c_90]) ).
tcf(c_259069,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_250119,c_95]) ).
tcf(c_259070,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_250119,c_92]) ).
tcf(c_259071,plain,
( ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259063,c_62]) ).
tcf(c_259076,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_259062,c_62]) ).
tcf(c_259082,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_259068,c_62]) ).
tcf(c_259089,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_259066,c_62]) ).
tcf(c_259096,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_259069,c_62]) ).
tcf(c_259103,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_259070,c_62]) ).
tcf(c_259111,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_259059,c_62]) ).
tcf(c_259141,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_258747,c_73]) ).
tcf(c_259144,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_258747,c_78]) ).
tcf(c_259145,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_258747,c_77]) ).
tcf(c_259146,plain,
( sdtlseqdt0(xn,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_258747,c_148]) ).
tcf(c_259147,plain,
( aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_258747,c_87]) ).
tcf(c_259148,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_258747,c_73]) ).
tcf(c_259149,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_258747,c_79]) ).
tcf(c_259150,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_258747,c_71]) ).
tcf(c_259151,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_258747,c_71]) ).
tcf(c_259152,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_258747,c_101]) ).
tcf(c_259153,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_258747,c_80]) ).
tcf(c_259154,plain,
aNaturalNumber0(sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_259147,c_51,c_49]) ).
tcf(c_259155,plain,
sdtlseqdt0(xn,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_259146,c_51,c_49]) ).
tcf(c_259159,plain,
sdtpldt0(xl,xn) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_259144,c_58,c_51,c_49]) ).
tcf(c_259160,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259153,c_51,c_49]) ).
tcf(c_259164,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259152,c_51,c_49]) ).
tcf(c_259169,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259149,c_51,c_49]) ).
tcf(c_259173,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xl,xn))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259151,c_51,c_49]) ).
tcf(c_259178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xn,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259150,c_51,c_49]) ).
tcf(c_259183,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,xl))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259148,c_51,c_49]) ).
tcf(c_259188,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259141,c_51,c_49]) ).
tcf(c_259198,plain,
sdtpldt0(sdtpldt0(xl,xn),xl) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_259154,c_248163]) ).
tcf(c_259199,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtpldt0(xl,xn),X0)),xp) = sdtasdt0(sdtpldt0(xl,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259154,c_249178]) ).
tcf(c_259200,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtpldt0(xl,xn),X0)),xp) = sdtpldt0(sdtpldt0(xl,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259154,c_249176]) ).
tcf(c_259201,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,xn)),sdtasdt0(X0,sdtpldt0(xl,xn))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259154,c_82]) ).
tcf(c_259202,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xn),X1),sdtasdt0(sdtpldt0(xl,xn),X0)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259154,c_81]) ).
tcf(c_259203,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xn),X1),X0) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259154,c_98]) ).
tcf(c_259204,plain,
sdtsldt0(sdtasdt0(xp,sdtpldt0(xl,xn)),xp) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_259154,c_248772]) ).
tcf(c_259205,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xn),X1),X0) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259154,c_85]) ).
tcf(c_259206,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259154,c_155]) ).
tcf(c_259207,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xn),X0) = sdtasdt0(X0,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259154,c_99]) ).
tcf(c_259208,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xn),X0) = sdtpldt0(X0,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259154,c_86]) ).
tcf(c_259209,plain,
sdtasdt0(sz00,sdtpldt0(xl,xn)) = sz00,
inference(superposition,[status(thm)],[c_259154,c_97]) ).
tcf(c_259210,plain,
sdtasdt0(sdtpldt0(xl,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_259154,c_96]) ).
tcf(c_259211,plain,
sdtpldt0(sz00,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_259154,c_84]) ).
tcf(c_259212,plain,
sdtpldt0(sdtpldt0(xl,xn),sz00) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_259154,c_83]) ).
tcf(c_259390,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259155,c_112]) ).
tcf(c_259391,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_259155,c_256023]) ).
tcf(c_259392,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xn,sdtpldt0(xl,xn))),xp) = sK3(xn,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259155,c_249177]) ).
tcf(c_259393,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259155,c_249154]) ).
tcf(c_259394,plain,
( ( sdtpldt0(xl,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),xn) ),
inference(superposition,[status(thm)],[c_259155,c_113]) ).
tcf(c_259395,plain,
( ( sdtpldt0(xn,sK3(xn,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259155,c_76]) ).
tcf(c_259396,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259393,c_51,c_259154]) ).
tcf(c_259399,plain,
sdtpldt0(xn,sK3(xn,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_259395,c_51,c_259154]) ).
tcf(c_259400,plain,
( ( sdtpldt0(xl,xn) = xn )
| ~ sdtlseqdt0(sdtpldt0(xl,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259394,c_51,c_259154]) ).
tcf(c_259403,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259390,c_51,c_259154]) ).
tcf(c_259407,plain,
sdtsldt0(sdtasdt0(xp,sK3(xn,sdtpldt0(xl,xn))),xp) = sK3(xn,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_259392,c_51,c_259154]) ).
tcf(c_259408,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259391,c_51,c_259154]) ).
tcf(c_259426,plain,
( ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xp) != xq ) ),
inference(superposition,[status(thm)],[c_258748,c_68]) ).
tcf(c_259427,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_258748,c_73]) ).
tcf(c_259431,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_258748,c_77]) ).
tcf(c_259432,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_258748,c_148]) ).
tcf(c_259433,plain,
( aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_258748,c_87]) ).
tcf(c_259434,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_258748,c_73]) ).
tcf(c_259435,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_258748,c_79]) ).
tcf(c_259436,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_258748,c_71]) ).
tcf(c_259437,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_258748,c_71]) ).
tcf(c_259438,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_258748,c_101]) ).
tcf(c_259439,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_258748,c_80]) ).
tcf(c_259440,plain,
aNaturalNumber0(sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_259433,c_59,c_49]) ).
tcf(c_259441,plain,
sdtpldt0(xl,xp) != xq,
inference(forward_subsumption_resolution,[status(thm)],[c_259426,c_49]) ).
tcf(c_259442,plain,
sdtlseqdt0(xp,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_259432,c_59,c_49]) ).
tcf(c_259443,plain,
sdtpldt0(xl,xp) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_259431,c_38242,c_59,c_49]) ).
tcf(c_259444,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259439,c_59,c_49]) ).
tcf(c_259448,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259438,c_59,c_49]) ).
tcf(c_259453,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259435,c_59,c_49]) ).
tcf(c_259457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xl,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259437,c_59,c_49]) ).
tcf(c_259462,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xp,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259436,c_59,c_49]) ).
tcf(c_259467,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,xl))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259434,c_59,c_49]) ).
tcf(c_259472,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259427,c_59,c_49]) ).
tcf(c_259505,plain,
sdtpldt0(sdtpldt0(xl,xp),xl) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_259440,c_248163]) ).
tcf(c_259506,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtpldt0(xl,xp),X0)),xp) = sdtasdt0(sdtpldt0(xl,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259440,c_249178]) ).
tcf(c_259507,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtpldt0(xl,xp),X0)),xp) = sdtpldt0(sdtpldt0(xl,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259440,c_249176]) ).
tcf(c_259508,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,xp)),sdtasdt0(X0,sdtpldt0(xl,xp))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259440,c_82]) ).
tcf(c_259509,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xp),X1),sdtasdt0(sdtpldt0(xl,xp),X0)) = sdtasdt0(sdtpldt0(xl,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259440,c_81]) ).
tcf(c_259510,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xp),X1),X0) = sdtasdt0(sdtpldt0(xl,xp),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259440,c_98]) ).
tcf(c_259511,plain,
sdtsldt0(sdtasdt0(xp,sdtpldt0(xl,xp)),xp) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_259440,c_248772]) ).
tcf(c_259512,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xp),X1),X0) = sdtpldt0(sdtpldt0(xl,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259440,c_85]) ).
tcf(c_259513,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259440,c_155]) ).
tcf(c_259514,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xp),X0) = sdtasdt0(X0,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259440,c_99]) ).
tcf(c_259515,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xp),X0) = sdtpldt0(X0,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259440,c_86]) ).
tcf(c_259516,plain,
sdtasdt0(sz00,sdtpldt0(xl,xp)) = sz00,
inference(superposition,[status(thm)],[c_259440,c_97]) ).
tcf(c_259517,plain,
sdtasdt0(sdtpldt0(xl,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_259440,c_96]) ).
tcf(c_259518,plain,
sdtpldt0(sz00,sdtpldt0(xl,xp)) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_259440,c_84]) ).
tcf(c_259519,plain,
sdtpldt0(sdtpldt0(xl,xp),sz00) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_259440,c_83]) ).
tcf(c_259543,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259442,c_112]) ).
tcf(c_259544,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(superposition,[status(thm)],[c_259442,c_256023]) ).
tcf(c_259545,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xp,sdtpldt0(xl,xp))),xp) = sK3(xp,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259442,c_249177]) ).
tcf(c_259547,plain,
( ( sdtpldt0(xl,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),xp) ),
inference(superposition,[status(thm)],[c_259442,c_113]) ).
tcf(c_259548,plain,
( ( sdtpldt0(xp,sK3(xp,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259442,c_76]) ).
tcf(c_259549,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259442,c_249932]) ).
tcf(c_259550,plain,
sdtlseqdt0(xq,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_259549,c_259440]) ).
tcf(c_259551,plain,
sdtpldt0(xp,sK3(xp,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_259548,c_59,c_259440]) ).
tcf(c_259552,plain,
( ( sdtpldt0(xl,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xl,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259547,c_59,c_259440]) ).
tcf(c_259555,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259543,c_59,c_259440]) ).
tcf(c_259559,plain,
sdtsldt0(sdtasdt0(xp,sK3(xp,sdtpldt0(xl,xp))),xp) = sK3(xp,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_259545,c_59,c_259440]) ).
tcf(c_259560,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259544,c_59,c_259440]) ).
tcf(c_259567,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259550,c_112]) ).
tcf(c_259568,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(superposition,[status(thm)],[c_259550,c_256023]) ).
tcf(c_259569,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xl,xp))),xp) = sK3(xq,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259550,c_249177]) ).
tcf(c_259571,plain,
( ( sdtpldt0(xl,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),xq) ),
inference(superposition,[status(thm)],[c_259550,c_113]) ).
tcf(c_259572,plain,
( ( sdtpldt0(xq,sK3(xq,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259550,c_76]) ).
tcf(c_259573,plain,
sdtpldt0(xq,sK3(xq,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_259572,c_62,c_259440]) ).
tcf(c_259574,plain,
( ( sdtpldt0(xl,xp) = xq )
| ~ sdtlseqdt0(sdtpldt0(xl,xp),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259571,c_62,c_259440]) ).
tcf(c_259577,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259567,c_62,c_259440]) ).
tcf(c_259581,plain,
sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xl,xp))),xp) = sK3(xq,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_259569,c_62,c_259440]) ).
tcf(c_259582,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259568,c_62,c_259440]) ).
tcf(c_259597,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sz00 = xp )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_255256,c_256712]) ).
tcf(c_259598,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_255263,c_256712]) ).
tcf(c_259599,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259598,c_106]) ).
tcf(c_259600,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_256557,c_256712]) ).
tcf(c_259601,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259600,c_106]) ).
tcf(c_259622,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(sz00,sK3(xq,xm))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xm)) ),
inference(superposition,[status(thm)],[c_252954,c_259601]) ).
tcf(c_259623,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(superposition,[status(thm)],[c_259601,c_112]) ).
tcf(c_259625,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xq,X0),xp)),xp) = sK3(sdtpldt0(xq,X0),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_259601,c_249177]) ).
tcf(c_259627,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_259601,c_113]) ).
tcf(c_259628,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK3(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_259601,c_76]) ).
tcf(c_259635,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK3(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259628,c_59]) ).
tcf(c_259643,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259627,c_59]) ).
tcf(c_259652,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259623,c_59]) ).
tcf(c_259662,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xq,X0),xp)),xp) = sK3(sdtpldt0(xq,X0),xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259625,c_59]) ).
tcf(c_259673,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_256550,c_256712]) ).
tcf(c_259674,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259673,c_106]) ).
tcf(c_259696,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_111,c_259674]) ).
tcf(c_259697,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| sdtlseqdt0(sdtpldt0(X0,X1),sK3(xq,xp))
| ( X1 = X2 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_71,c_259674]) ).
tcf(c_259698,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X0,X1),sK3(xq,xp))
| ( X0 = X2 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_73,c_259674]) ).
tcf(c_259699,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_148,c_259674]) ).
tcf(c_259700,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_88,c_259674]) ).
tcf(c_259701,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X2))
| sdtlseqdt0(sdtasdt0(X0,X1),sK3(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_90,c_259674]) ).
tcf(c_259702,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X2,X1))
| sdtlseqdt0(sdtasdt0(X0,X1),sK3(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_92,c_259674]) ).
tcf(c_259704,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_111,c_259674]) ).
tcf(c_259725,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_258432,c_259674]) ).
tcf(c_259726,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_249136,c_259674]) ).
tcf(c_259727,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_249119,c_259674]) ).
tcf(c_259728,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_254410,c_259674]) ).
tcf(c_259729,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xl)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257381,c_259674]) ).
tcf(c_259730,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257290,c_259674]) ).
tcf(c_259731,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257199,c_259674]) ).
tcf(c_259732,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xq)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256946,c_259674]) ).
tcf(c_259733,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256429,c_259674]) ).
tcf(c_259734,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_250649,c_259674]) ).
tcf(c_259735,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256315,c_259674]) ).
tcf(c_259749,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_253184,c_259674]) ).
tcf(c_259750,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_259674]) ).
tcf(c_259755,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253184,c_259674]) ).
tcf(c_259757,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = xq )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_252067,c_259674]) ).
tcf(c_259759,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_254415,c_259674]) ).
tcf(c_259760,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( X0 = xl )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_253822,c_259674]) ).
tcf(c_259761,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_254498,c_259674]) ).
tcf(c_259763,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xl))
| sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258823,c_259674]) ).
tcf(c_259764,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xn))
| sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259155,c_259674]) ).
tcf(c_259765,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259550,c_259674]) ).
tcf(c_259766,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259442,c_259674]) ).
tcf(c_259767,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259735,c_49]) ).
tcf(c_259774,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259734,c_106]) ).
tcf(c_259781,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259733,c_106]) ).
tcf(c_259788,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xq)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259732,c_106]) ).
tcf(c_259795,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259731,c_106]) ).
tcf(c_259802,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259730,c_106]) ).
tcf(c_259809,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xl)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259729,c_106]) ).
tcf(c_259817,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259725,c_62]) ).
tcf(c_259838,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259766,c_59,c_259440]) ).
tcf(c_259843,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259765,c_62,c_259440]) ).
tcf(c_259848,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xn))
| sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259764,c_51,c_259154]) ).
tcf(c_259853,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xl))
| sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259763,c_49,c_258822]) ).
tcf(c_259858,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259728,c_106]) ).
tcf(c_259872,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259726,c_62]) ).
tcf(c_259893,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259761,c_106]) ).
tcf(c_259901,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259759,c_106]) ).
tcf(c_259917,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( X0 = xl )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259760,c_50]) ).
tcf(c_259926,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259749,c_59]) ).
tcf(c_259935,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = xq )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_259757,c_59]) ).
tcf(c_260193,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(light_normalisation,[status(thm)],[c_256553,c_256712]) ).
tcf(c_260194,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260193,c_106]) ).
tcf(c_260214,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sK3(xq,xp),X0))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sK3(xq,xp),X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK3(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_148,c_260194]) ).
tcf(c_260215,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK3(xq,xp),X0))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ( sdtasdt0(sK3(xq,xp),X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK3(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_88,c_260194]) ).
tcf(c_260217,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_111,c_260194]) ).
tcf(c_260250,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_256554,c_256712]) ).
tcf(c_260251,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260250,c_106]) ).
tcf(c_260267,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_75,c_260251]) ).
tcf(c_260268,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260267,c_62,c_59,c_248128]) ).
tcf(c_260317,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))))
| ( sdtasdt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_250127,c_92]) ).
tcf(c_260320,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ( sdtasdt0(sdtasdt0(xl,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_250127,c_94]) ).
tcf(c_260321,plain,
( ( sdtasdt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_250127,c_93]) ).
tcf(c_260324,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xq),X0))
| ( sdtasdt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_250127,c_90]) ).
tcf(c_260325,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_250127,c_88]) ).
tcf(c_260326,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sz00)
| ( sdtasdt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_250127,c_90]) ).
tcf(c_260327,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_250127,c_95]) ).
tcf(c_260328,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))),sz00)
| ( sdtasdt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_250127,c_92]) ).
tcf(c_260333,plain,
( ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260321,c_249981,c_248038]) ).
tcf(c_260336,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ( sdtasdt0(sdtasdt0(xl,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260320,c_249981,c_248038]) ).
tcf(c_260341,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260327,c_248038]) ).
tcf(c_260347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))),sz00)
| ( sdtasdt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260328,c_248038]) ).
tcf(c_260354,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sz00)
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260326,c_249981,c_248038]) ).
tcf(c_260360,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xq),X0))
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260324,c_249981,c_248038]) ).
tcf(c_260366,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))))
| ( sdtasdt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260317,c_248038]) ).
tcf(c_260373,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_258749,c_73]) ).
tcf(c_260376,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_258749,c_78]) ).
tcf(c_260377,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_258749,c_77]) ).
tcf(c_260378,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_258749,c_148]) ).
tcf(c_260379,plain,
( aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_258749,c_87]) ).
tcf(c_260380,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_258749,c_73]) ).
tcf(c_260381,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_258749,c_79]) ).
tcf(c_260382,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_258749,c_71]) ).
tcf(c_260383,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_258749,c_71]) ).
tcf(c_260384,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_258749,c_101]) ).
tcf(c_260385,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_258749,c_80]) ).
tcf(c_260388,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xq))
| sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_258749,c_253184]) ).
tcf(c_260389,plain,
( sdtlseqdt0(sK3(xq,xp),xl)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_258749,c_253115]) ).
tcf(c_260390,plain,
( ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(xl,xq) != xp ) ),
inference(superposition,[status(thm)],[c_258749,c_249523]) ).
tcf(c_260391,plain,
aNaturalNumber0(sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_260379,c_62,c_49]) ).
tcf(c_260392,plain,
sdtlseqdt0(xq,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_260378,c_62,c_49]) ).
tcf(c_260396,plain,
sdtpldt0(xl,xq) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_260376,c_58,c_62,c_49]) ).
tcf(c_260397,plain,
( ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(xl,xq) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260390,c_49]) ).
tcf(c_260401,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260385,c_62,c_49]) ).
tcf(c_260405,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260384,c_62,c_49]) ).
tcf(c_260410,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260381,c_62,c_49]) ).
tcf(c_260414,plain,
( sdtlseqdt0(sK3(xq,xp),xl)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260389,c_49]) ).
tcf(c_260419,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xq))
| sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260388,c_49]) ).
tcf(c_260424,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xl,xq))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260383,c_62,c_49]) ).
tcf(c_260429,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xq,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260382,c_62,c_49]) ).
tcf(c_260434,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,xl))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260380,c_62,c_49]) ).
tcf(c_260439,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260373,c_62,c_49]) ).
tcf(c_260469,plain,
sdtpldt0(sdtpldt0(xl,xq),xl) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_260391,c_248163]) ).
tcf(c_260470,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtpldt0(xl,xq),X0)),xp) = sdtasdt0(sdtpldt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260391,c_249178]) ).
tcf(c_260471,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtpldt0(xl,xq),X0)),xp) = sdtpldt0(sdtpldt0(xl,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260391,c_249176]) ).
tcf(c_260472,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,xq)),sdtasdt0(X0,sdtpldt0(xl,xq))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260391,c_82]) ).
tcf(c_260473,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xq),X1),sdtasdt0(sdtpldt0(xl,xq),X0)) = sdtasdt0(sdtpldt0(xl,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260391,c_81]) ).
tcf(c_260474,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xq),X1),X0) = sdtasdt0(sdtpldt0(xl,xq),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260391,c_98]) ).
tcf(c_260475,plain,
sdtsldt0(sdtasdt0(xp,sdtpldt0(xl,xq)),xp) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_260391,c_248772]) ).
tcf(c_260476,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xq),X1),X0) = sdtpldt0(sdtpldt0(xl,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260391,c_85]) ).
tcf(c_260477,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260391,c_155]) ).
tcf(c_260478,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xq),X0) = sdtasdt0(X0,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260391,c_99]) ).
tcf(c_260479,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xq),X0) = sdtpldt0(X0,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260391,c_86]) ).
tcf(c_260480,plain,
sdtasdt0(sz00,sdtpldt0(xl,xq)) = sz00,
inference(superposition,[status(thm)],[c_260391,c_97]) ).
tcf(c_260481,plain,
sdtasdt0(sdtpldt0(xl,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_260391,c_96]) ).
tcf(c_260482,plain,
sdtpldt0(sz00,sdtpldt0(xl,xq)) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_260391,c_84]) ).
tcf(c_260483,plain,
sdtpldt0(sdtpldt0(xl,xq),sz00) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_260391,c_83]) ).
tcf(c_260507,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_260392,c_112]) ).
tcf(c_260508,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,xq))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_260392,c_259674]) ).
tcf(c_260509,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_260392,c_256023]) ).
tcf(c_260510,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xl,xq))),xp) = sK3(xq,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_260392,c_249177]) ).
tcf(c_260512,plain,
( ( sdtpldt0(xl,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),xq) ),
inference(superposition,[status(thm)],[c_260392,c_113]) ).
tcf(c_260513,plain,
( ( sdtpldt0(xq,sK3(xq,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_260392,c_76]) ).
tcf(c_260514,plain,
sdtpldt0(xq,sK3(xq,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_260513,c_62,c_260391]) ).
tcf(c_260515,plain,
( ( sdtpldt0(xl,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xl,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260512,c_62,c_260391]) ).
tcf(c_260518,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260507,c_62,c_260391]) ).
tcf(c_260522,plain,
sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xl,xq))),xp) = sK3(xq,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_260510,c_62,c_260391]) ).
tcf(c_260523,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260509,c_62,c_260391]) ).
tcf(c_260527,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,xq))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260508,c_62,c_260391]) ).
tcf(c_260572,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sK2))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(superposition,[status(thm)],[c_258750,c_73]) ).
tcf(c_260575,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,sK2) != sz00 ) ),
inference(superposition,[status(thm)],[c_258750,c_78]) ).
tcf(c_260576,plain,
( ( sz00 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,sK2) != sz00 ) ),
inference(superposition,[status(thm)],[c_258750,c_77]) ).
tcf(c_260577,plain,
( sdtlseqdt0(sK2,sdtpldt0(xl,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_258750,c_148]) ).
tcf(c_260578,plain,
( aNaturalNumber0(sdtpldt0(xl,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_258750,c_87]) ).
tcf(c_260579,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK2),sdtpldt0(X0,xl))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(superposition,[status(thm)],[c_258750,c_73]) ).
tcf(c_260580,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK2,X0) != sdtpldt0(xl,sK2) ) ),
inference(superposition,[status(thm)],[c_258750,c_79]) ).
tcf(c_260581,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK2),sdtpldt0(sK2,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_258750,c_71]) ).
tcf(c_260582,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sdtpldt0(xl,sK2))
| ( X0 = xl )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_258750,c_71]) ).
tcf(c_260583,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK2)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_258750,c_101]) ).
tcf(c_260584,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,sK2) ) ),
inference(superposition,[status(thm)],[c_258750,c_80]) ).
tcf(c_260585,plain,
aNaturalNumber0(sdtpldt0(xl,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_260578,c_65,c_49]) ).
tcf(c_260586,plain,
sdtlseqdt0(sK2,sdtpldt0(xl,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_260577,c_65,c_49]) ).
tcf(c_260590,plain,
sdtpldt0(xl,sK2) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_260575,c_58,c_65,c_49]) ).
tcf(c_260591,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260584,c_65,c_49]) ).
tcf(c_260595,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sK2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK2)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260583,c_65,c_49]) ).
tcf(c_260600,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK2,X0) != sdtpldt0(xl,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260580,c_65,c_49]) ).
tcf(c_260604,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sdtpldt0(xl,sK2))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260582,c_65,c_49]) ).
tcf(c_260609,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK2),sdtpldt0(sK2,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260581,c_65,c_49]) ).
tcf(c_260614,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK2),sdtpldt0(X0,xl))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260579,c_65,c_49]) ).
tcf(c_260619,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sK2))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260572,c_65,c_49]) ).
tcf(c_260624,plain,
sdtpldt0(sdtpldt0(xl,sK2),xl) = sdtpldt0(xl,sdtpldt0(xl,sK2)),
inference(superposition,[status(thm)],[c_260585,c_248163]) ).
tcf(c_260625,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtpldt0(xl,sK2),X0)),xp) = sdtasdt0(sdtpldt0(xl,sK2),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260585,c_249178]) ).
tcf(c_260626,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtpldt0(xl,sK2),X0)),xp) = sdtpldt0(sdtpldt0(xl,sK2),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260585,c_249176]) ).
tcf(c_260627,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sK2)),sdtasdt0(X0,sdtpldt0(xl,sK2))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sK2)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260585,c_82]) ).
tcf(c_260628,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sK2),X1),sdtasdt0(sdtpldt0(xl,sK2),X0)) = sdtasdt0(sdtpldt0(xl,sK2),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260585,c_81]) ).
tcf(c_260629,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sK2),X1),X0) = sdtasdt0(sdtpldt0(xl,sK2),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260585,c_98]) ).
tcf(c_260630,plain,
sdtsldt0(sdtasdt0(xp,sdtpldt0(xl,sK2)),xp) = sdtpldt0(xl,sK2),
inference(superposition,[status(thm)],[c_260585,c_248772]) ).
tcf(c_260631,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sK2),X1),X0) = sdtpldt0(sdtpldt0(xl,sK2),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260585,c_85]) ).
tcf(c_260632,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK2) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sK2),X0),sdtpldt0(xl,sK2)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260585,c_155]) ).
tcf(c_260633,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sK2),X0) = sdtasdt0(X0,sdtpldt0(xl,sK2)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260585,c_99]) ).
tcf(c_260634,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sK2),X0) = sdtpldt0(X0,sdtpldt0(xl,sK2)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_260585,c_86]) ).
tcf(c_260635,plain,
sdtasdt0(sz00,sdtpldt0(xl,sK2)) = sz00,
inference(superposition,[status(thm)],[c_260585,c_97]) ).
tcf(c_260636,plain,
sdtasdt0(sdtpldt0(xl,sK2),sz00) = sz00,
inference(superposition,[status(thm)],[c_260585,c_96]) ).
tcf(c_260637,plain,
sdtpldt0(sz00,sdtpldt0(xl,sK2)) = sdtpldt0(xl,sK2),
inference(superposition,[status(thm)],[c_260585,c_84]) ).
tcf(c_260638,plain,
sdtpldt0(sdtpldt0(xl,sK2),sz00) = sdtpldt0(xl,sK2),
inference(superposition,[status(thm)],[c_260585,c_83]) ).
tcf(c_260684,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260586,c_112]) ).
tcf(c_260685,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sK2))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260586,c_259674]) ).
tcf(c_260686,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),sz00) ),
inference(superposition,[status(thm)],[c_260586,c_256023]) ).
tcf(c_260687,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sK2,sdtpldt0(xl,sK2))),xp) = sK3(sK2,sdtpldt0(xl,sK2)) )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260586,c_249177]) ).
tcf(c_260688,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260586,c_249154]) ).
tcf(c_260689,plain,
( ( sdtpldt0(xl,sK2) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),sK2) ),
inference(superposition,[status(thm)],[c_260586,c_113]) ).
tcf(c_260690,plain,
( ( sdtpldt0(sK2,sK3(sK2,sdtpldt0(xl,sK2))) = sdtpldt0(xl,sK2) )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260586,c_76]) ).
tcf(c_260691,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260688,c_65,c_260585]) ).
tcf(c_260694,plain,
sdtpldt0(sK2,sK3(sK2,sdtpldt0(xl,sK2))) = sdtpldt0(xl,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_260690,c_65,c_260585]) ).
tcf(c_260695,plain,
( ( sdtpldt0(xl,sK2) = sK2 )
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260689,c_65,c_260585]) ).
tcf(c_260698,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sK2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260684,c_65,c_260585]) ).
tcf(c_260702,plain,
sdtsldt0(sdtasdt0(xp,sK3(sK2,sdtpldt0(xl,sK2))),xp) = sK3(sK2,sdtpldt0(xl,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_260687,c_65,c_260585]) ).
tcf(c_260703,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260686,c_65,c_260585]) ).
tcf(c_260707,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sK2))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260685,c_65,c_260585]) ).
tcf(c_260760,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_256558,c_256712]) ).
tcf(c_260761,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260760,c_106]) ).
tcf(c_260785,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_111,c_260761]) ).
tcf(c_260798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_260761]) ).
tcf(c_260800,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_260798,c_247976]) ).
tcf(c_260806,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_256562,c_256712]) ).
tcf(c_260807,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260806,c_106]) ).
tcf(c_260823,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_260807,c_112]) ).
tcf(c_260826,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_260807,c_249177]) ).
tcf(c_260827,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_260807,c_249154]) ).
tcf(c_260828,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_260807,c_113]) ).
tcf(c_260829,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_260807,c_76]) ).
tcf(c_260834,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_260807,c_251249]) ).
tcf(c_260835,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ( sdtpldt0(sz00,sK3(sz00,sK3(sz00,sK3(xq,xp)))) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_260807,c_257474]) ).
tcf(c_260901,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_256551,c_256712]) ).
tcf(c_260902,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260901,c_106]) ).
tcf(c_260918,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_75,c_260902]) ).
tcf(c_260919,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260918,c_62,c_59,c_248128]) ).
tcf(c_260930,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_256559,c_256712]) ).
tcf(c_260931,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260930,c_106]) ).
tcf(c_260947,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X1)),xp) = sK3(sz00,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_260931,c_112]) ).
tcf(c_260950,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_260931,c_249177]) ).
tcf(c_260951,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_260931,c_249154]) ).
tcf(c_260952,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_260931,c_113]) ).
tcf(c_260953,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_260931,c_76]) ).
tcf(c_260958,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_260931,c_251249]) ).
tcf(c_260959,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sK3(sz00,sK3(xq,xp)))),xp) = sK3(sz00,sK3(sz00,sK3(xq,xp))) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_260931,c_257474]) ).
tcf(c_261001,plain,
( aNaturalNumber0(sK3(sK2,sK2))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sK2,sK2)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sK2,sK2))) ),
inference(superposition,[status(thm)],[c_250825,c_108]) ).
tcf(c_261002,plain,
( aNaturalNumber0(sK3(sK2,sK2))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sK2,sK2)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sK2,sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261001,c_38242,c_59]) ).
tcf(c_261006,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xl)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258906,c_92]) ).
tcf(c_261016,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtasdt0(X0,sdtpldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_258906,c_95]) ).
tcf(c_261017,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xl)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258906,c_92]) ).
tcf(c_261018,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,xl)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261016,c_258824,c_106,c_258822]) ).
tcf(c_261023,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xl)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261006,c_258824,c_106,c_258822]) ).
tcf(c_261031,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtasdt0(sdtpldt0(xm,xl),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_258907,c_94]) ).
tcf(c_261033,plain,
( doDivides0(sdtpldt0(xm,xl),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258907,c_145]) ).
tcf(c_261035,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xl),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258907,c_90]) ).
tcf(c_261037,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xl),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258907,c_90]) ).
tcf(c_261040,plain,
doDivides0(sdtpldt0(xm,xl),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_261033,c_106,c_258822]) ).
tcf(c_261041,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xl),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261031,c_258824,c_106,c_258822]) ).
tcf(c_261046,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xl),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261035,c_258824,c_106,c_258822]) ).
tcf(c_261234,plain,
( ( sdtpldt0(xm,xl) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xl),sdtsldt0(sz00,sdtpldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_261040,c_109]) ).
tcf(c_261235,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,xl),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_261040,c_102]) ).
tcf(c_261236,plain,
( ( sdtasdt0(sdtpldt0(xm,xl),sK4(sdtpldt0(xm,xl),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_261040,c_105]) ).
tcf(c_261237,plain,
sdtasdt0(sdtpldt0(xm,xl),sK4(sdtpldt0(xm,xl),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_261236,c_106,c_258822]) ).
tcf(c_261238,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,xl),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261235,c_106,c_258822]) ).
tcf(c_261242,plain,
sdtasdt0(sdtpldt0(xm,xl),sdtsldt0(sz00,sdtpldt0(xm,xl))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_261234,c_258824,c_106,c_258822]) ).
tcf(c_261247,plain,
! [X0: $i] :
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258961,c_112]) ).
tcf(c_261248,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,xl))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258961,c_259674]) ).
tcf(c_261249,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sz00) ),
inference(superposition,[status(thm)],[c_258961,c_256023]) ).
tcf(c_261250,plain,
( sdtlseqdt0(xl,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xm,xl))),xp) = sK3(xq,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258961,c_249177]) ).
tcf(c_261252,plain,
( sdtlseqdt0(xl,xp)
| ( sdtpldt0(xm,xl) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),xq) ),
inference(superposition,[status(thm)],[c_258961,c_113]) ).
tcf(c_261253,plain,
( sdtlseqdt0(xl,xp)
| ( sdtpldt0(xq,sK3(xq,sdtpldt0(xm,xl))) = sdtpldt0(xm,xl) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258961,c_76]) ).
tcf(c_261254,plain,
( sdtlseqdt0(xl,xp)
| ( sdtpldt0(xq,sK3(xq,sdtpldt0(xm,xl))) = sdtpldt0(xm,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261253,c_62,c_258822]) ).
tcf(c_261257,plain,
( sdtlseqdt0(xl,xp)
| ( sdtpldt0(xm,xl) = xq )
| ~ sdtlseqdt0(sdtpldt0(xm,xl),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261252,c_62,c_258822]) ).
tcf(c_261261,plain,
! [X0: $i] :
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261247,c_62,c_258822]) ).
tcf(c_261266,plain,
( sdtlseqdt0(xl,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xm,xl))),xp) = sK3(xq,sdtpldt0(xm,xl)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261250,c_62,c_258822]) ).
tcf(c_261269,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261249,c_62,c_258822]) ).
tcf(c_261274,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,xl))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261248,c_62,c_258822]) ).
tcf(c_261280,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_259209,c_92]) ).
tcf(c_261290,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_259209,c_95]) ).
tcf(c_261291,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_259209,c_92]) ).
tcf(c_261292,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261290,c_259159,c_106,c_259154]) ).
tcf(c_261297,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261280,c_259159,c_106,c_259154]) ).
tcf(c_261305,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_259210,c_94]) ).
tcf(c_261307,plain,
( doDivides0(sdtpldt0(xl,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259210,c_145]) ).
tcf(c_261309,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_259210,c_90]) ).
tcf(c_261311,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_259210,c_90]) ).
tcf(c_261314,plain,
doDivides0(sdtpldt0(xl,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_261307,c_106,c_259154]) ).
tcf(c_261315,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261305,c_259159,c_106,c_259154]) ).
tcf(c_261320,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261309,c_259159,c_106,c_259154]) ).
tcf(c_261325,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_261314,c_109]) ).
tcf(c_261326,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_261314,c_102]) ).
tcf(c_261327,plain,
( ( sdtasdt0(sdtpldt0(xl,xn),sK4(sdtpldt0(xl,xn),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_261314,c_105]) ).
tcf(c_261328,plain,
sdtasdt0(sdtpldt0(xl,xn),sK4(sdtpldt0(xl,xn),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_261327,c_106,c_259154]) ).
tcf(c_261329,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261326,c_106,c_259154]) ).
tcf(c_261333,plain,
sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(sz00,sdtpldt0(xl,xn))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_261325,c_259159,c_106,c_259154]) ).
tcf(c_261334,plain,
( ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ( sK3(xq,xp) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_257507,c_145221]) ).
tcf(c_261335,plain,
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) ) ),
inference(renaming,[status(thm)],[c_261334]) ).
tcf(c_261341,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261335,c_257703]) ).
tcf(c_261342,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X0))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261335,c_257474]) ).
tcf(c_261343,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(X0,sK3(xq,xp)) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_261335,c_256780]) ).
tcf(c_261346,plain,
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(xq,xp)) = sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_261335,c_255422]) ).
tcf(c_261369,plain,
sdtpldt0(sz00,sK3(xq,xp)) = sK3(xq,xp),
inference(global_subsumption_just,[status(thm)],[c_261346,c_139385]) ).
tcf(c_261371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_261369,c_73]) ).
tcf(c_261376,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_261369,c_148]) ).
tcf(c_261378,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_261369,c_73]) ).
tcf(c_261379,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(sz00,X0) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_261369,c_79]) ).
tcf(c_261380,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X0))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_261369,c_71]) ).
tcf(c_261381,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_261369,c_71]) ).
tcf(c_261383,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(X0,sK3(xq,xp)) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_261369,c_80]) ).
tcf(c_261384,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| ( sz00 = xq )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_261369,c_252067]) ).
tcf(c_261385,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ( sz00 = xq )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_261369,c_251977]) ).
tcf(c_261386,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sK3(xq,xp) != xp ) ),
inference(superposition,[status(thm)],[c_261369,c_249752]) ).
tcf(c_261388,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sK3(xq,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261386,c_106]) ).
tcf(c_261392,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ( sz00 = xq )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261385,c_106,c_248102]) ).
tcf(c_261397,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(X0,sK3(xq,xp)) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261383,c_106]) ).
tcf(c_261402,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(sz00,X0) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261379,c_106]) ).
tcf(c_261407,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261378,c_106]) ).
tcf(c_261414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261381,c_106]) ).
tcf(c_261420,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X0))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261380,c_106]) ).
tcf(c_261473,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK3(X1,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_258999,c_112]) ).
tcf(c_261474,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_258999,c_259674]) ).
tcf(c_261475,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_258999,c_256023]) ).
tcf(c_261476,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_258999,c_249177]) ).
tcf(c_261478,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_258999,c_113]) ).
tcf(c_261479,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_258999,c_76]) ).
tcf(c_261481,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(xq,sK3(xq,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_258999,c_249160]) ).
tcf(c_261495,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ( sdtpldt0(sK3(sz00,sK3(xq,xp)),sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_258999,c_257703]) ).
tcf(c_261496,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261479,c_106]) ).
tcf(c_261501,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(xq,sK3(xq,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261481,c_62,c_106]) ).
tcf(c_261506,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK3(X1,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261473,c_106]) ).
tcf(c_261512,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261476,c_106]) ).
tcf(c_261517,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261474,c_106]) ).
tcf(c_261524,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ( sdtpldt0(sK3(sz00,sK3(xq,xp)),sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_261495,c_247978]) ).
tcf(c_261525,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ( sdtpldt0(sK3(sz00,sK3(xq,xp)),sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261524,c_106]) ).
tcf(c_261538,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_259516,c_92]) ).
tcf(c_261548,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_259516,c_95]) ).
tcf(c_261549,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_259516,c_92]) ).
tcf(c_261550,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261548,c_259443,c_106,c_259440]) ).
tcf(c_261555,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261538,c_259443,c_106,c_259440]) ).
tcf(c_261563,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_259517,c_94]) ).
tcf(c_261565,plain,
( doDivides0(sdtpldt0(xl,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259517,c_145]) ).
tcf(c_261567,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_259517,c_90]) ).
tcf(c_261569,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_259517,c_90]) ).
tcf(c_261572,plain,
doDivides0(sdtpldt0(xl,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_261565,c_106,c_259440]) ).
tcf(c_261573,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261563,c_259443,c_106,c_259440]) ).
tcf(c_261578,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261567,c_259443,c_106,c_259440]) ).
tcf(c_261583,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_261572,c_109]) ).
tcf(c_261584,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_261572,c_102]) ).
tcf(c_261585,plain,
( ( sdtasdt0(sdtpldt0(xl,xp),sK4(sdtpldt0(xl,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_261572,c_105]) ).
tcf(c_261586,plain,
sdtasdt0(sdtpldt0(xl,xp),sK4(sdtpldt0(xl,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_261585,c_106,c_259440]) ).
tcf(c_261587,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261584,c_106,c_259440]) ).
tcf(c_261591,plain,
sdtasdt0(sdtpldt0(xl,xp),sdtsldt0(sz00,sdtpldt0(xl,xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_261583,c_259443,c_106,c_259440]) ).
tcf(c_261592,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_260480,c_92]) ).
tcf(c_261602,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_260480,c_95]) ).
tcf(c_261603,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_260480,c_92]) ).
tcf(c_261604,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261602,c_260396,c_106,c_260391]) ).
tcf(c_261609,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261592,c_260396,c_106,c_260391]) ).
tcf(c_261618,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259396,c_112]) ).
tcf(c_261619,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,xn))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259396,c_259674]) ).
tcf(c_261620,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_259396,c_256023]) ).
tcf(c_261621,plain,
( sdtlseqdt0(xn,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xl,xn))),xp) = sK3(xq,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259396,c_249177]) ).
tcf(c_261623,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xl,xn) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),xq) ),
inference(superposition,[status(thm)],[c_259396,c_113]) ).
tcf(c_261624,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xq,sK3(xq,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259396,c_76]) ).
tcf(c_261625,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xq,sK3(xq,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261624,c_62,c_259154]) ).
tcf(c_261628,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xl,xn) = xq )
| ~ sdtlseqdt0(sdtpldt0(xl,xn),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261623,c_62,c_259154]) ).
tcf(c_261632,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261618,c_62,c_259154]) ).
tcf(c_261637,plain,
( sdtlseqdt0(xn,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xl,xn))),xp) = sK3(xq,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261621,c_62,c_259154]) ).
tcf(c_261640,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261620,c_62,c_259154]) ).
tcf(c_261645,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,xn))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261619,c_62,c_259154]) ).
tcf(c_261670,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_260481,c_94]) ).
tcf(c_261672,plain,
( doDivides0(sdtpldt0(xl,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_260481,c_145]) ).
tcf(c_261674,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_260481,c_90]) ).
tcf(c_261676,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_260481,c_90]) ).
tcf(c_261679,plain,
doDivides0(sdtpldt0(xl,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_261672,c_106,c_260391]) ).
tcf(c_261680,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261670,c_260396,c_106,c_260391]) ).
tcf(c_261685,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261674,c_260396,c_106,c_260391]) ).
tcf(c_261690,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_261679,c_109]) ).
tcf(c_261691,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_261679,c_102]) ).
tcf(c_261692,plain,
( ( sdtasdt0(sdtpldt0(xl,xq),sK4(sdtpldt0(xl,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_261679,c_105]) ).
tcf(c_261693,plain,
sdtasdt0(sdtpldt0(xl,xq),sK4(sdtpldt0(xl,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_261692,c_106,c_260391]) ).
tcf(c_261694,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261691,c_106,c_260391]) ).
tcf(c_261698,plain,
sdtasdt0(sdtpldt0(xl,xq),sdtsldt0(sz00,sdtpldt0(xl,xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_261690,c_260396,c_106,c_260391]) ).
tcf(c_261729,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sK2)))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260635,c_92]) ).
tcf(c_261739,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ( sdtasdt0(X0,sdtpldt0(xl,sK2)) != sz00 ) ),
inference(superposition,[status(thm)],[c_260635,c_95]) ).
tcf(c_261740,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sK2)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260635,c_92]) ).
tcf(c_261741,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sK2)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261739,c_260590,c_106,c_260585]) ).
tcf(c_261746,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sK2)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261729,c_260590,c_106,c_260585]) ).
tcf(c_261762,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_256733,c_259674]) ).
tcf(c_261786,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtsldt0(sdtasdt0(xp,sK3(X1,sK3(xq,xp))),xp) = sK3(X1,sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_259044,c_112]) ).
tcf(c_261787,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259044,c_259674]) ).
tcf(c_261788,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259044,c_256023]) ).
tcf(c_261789,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259044,c_249177]) ).
tcf(c_261791,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_259044,c_113]) ).
tcf(c_261792,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259044,c_76]) ).
tcf(c_261794,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,sK3(xq,xp))),xp) = sK3(xq,sK3(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_259044,c_249160]) ).
tcf(c_261808,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp))),xp) = sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_259044,c_257703]) ).
tcf(c_261809,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sK3(sz00,X0)) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261792,c_106]) ).
tcf(c_261814,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,sK3(xq,xp))),xp) = sK3(xq,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261794,c_62,c_106]) ).
tcf(c_261819,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtsldt0(sdtasdt0(xp,sK3(X1,sK3(xq,xp))),xp) = sK3(X1,sK3(xq,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261786,c_106]) ).
tcf(c_261825,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X0)),xp) = sK3(sz00,X0) )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261789,c_106]) ).
tcf(c_261830,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261787,c_106]) ).
tcf(c_261837,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp))),xp) = sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_261808,c_247978]) ).
tcf(c_261838,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp))),xp) = sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp)) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261837,c_106]) ).
tcf(c_261916,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_111,c_257908]) ).
tcf(c_261917,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248101,c_257908]) ).
tcf(c_261932,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261917,c_106]) ).
tcf(c_261937,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK3(xq,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261916,c_106]) ).
tcf(c_261953,plain,
( aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,sK3(xq,xp)))) ),
inference(superposition,[status(thm)],[c_261335,c_256078]) ).
tcf(c_261987,plain,
( ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,sz00) )
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_248465,c_255973]) ).
tcf(c_261988,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtasdt0(xl,xq) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_248247,c_255973]) ).
tcf(c_261989,plain,
( ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,xl) )
| ~ aNaturalNumber0(sK3(sz00,xl))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) != xl ) ),
inference(superposition,[status(thm)],[c_248475,c_255973]) ).
tcf(c_261990,plain,
( ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,xm) )
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) != xm ) ),
inference(superposition,[status(thm)],[c_248474,c_255973]) ).
tcf(c_261991,plain,
( ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,xn) )
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) != xn ) ),
inference(superposition,[status(thm)],[c_248473,c_255973]) ).
tcf(c_261992,plain,
( ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,xq) )
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) != xq ) ),
inference(superposition,[status(thm)],[c_248471,c_255973]) ).
tcf(c_261993,plain,
( ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,xp) )
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) != xp ) ),
inference(superposition,[status(thm)],[c_248470,c_255973]) ).
tcf(c_261994,plain,
( ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,sK2) )
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) != sK2 ) ),
inference(superposition,[status(thm)],[c_248469,c_255973]) ).
tcf(c_261995,plain,
( ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261369,c_255973]) ).
tcf(c_261996,plain,
( ( sK3(sz00,sdtasdt0(xl,xq)) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_249073,c_255973]) ).
tcf(c_262029,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtasdt0(xl,xq) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261988,c_248038]) ).
tcf(c_262037,plain,
( aNaturalNumber0(sK3(xn,xn))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xn,xn)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xn,xn))) ),
inference(superposition,[status(thm)],[c_250827,c_108]) ).
tcf(c_262038,plain,
( aNaturalNumber0(sK3(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xn,xn)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262037,c_38242,c_59]) ).
tcf(c_262045,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ( sdtasdt0(sdtpldt0(xl,sK2),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_260636,c_94]) ).
tcf(c_262047,plain,
( doDivides0(sdtpldt0(xl,sK2),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260636,c_145]) ).
tcf(c_262049,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sK2),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260636,c_90]) ).
tcf(c_262051,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK2),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260636,c_90]) ).
tcf(c_262054,plain,
doDivides0(sdtpldt0(xl,sK2),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_262047,c_106,c_260585]) ).
tcf(c_262055,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sK2),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262045,c_260590,c_106,c_260585]) ).
tcf(c_262060,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sK2),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262049,c_260590,c_106,c_260585]) ).
tcf(c_262065,plain,
( ( sdtpldt0(xl,sK2) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sK2),sdtsldt0(sz00,sdtpldt0(xl,sK2))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_262054,c_109]) ).
tcf(c_262066,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sK2),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_262054,c_102]) ).
tcf(c_262067,plain,
( ( sdtasdt0(sdtpldt0(xl,sK2),sK4(sdtpldt0(xl,sK2),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_262054,c_105]) ).
tcf(c_262068,plain,
sdtasdt0(sdtpldt0(xl,sK2),sK4(sdtpldt0(xl,sK2),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_262067,c_106,c_260585]) ).
tcf(c_262069,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sK2),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262066,c_106,c_260585]) ).
tcf(c_262073,plain,
sdtasdt0(sdtpldt0(xl,sK2),sdtsldt0(sz00,sdtpldt0(xl,sK2))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_262065,c_260590,c_106,c_260585]) ).
tcf(c_262074,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xl)),sdtpldt0(xm,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258908,c_73]) ).
tcf(c_262079,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258908,c_148]) ).
tcf(c_262081,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(X0,sdtpldt0(xm,xl)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258908,c_73]) ).
tcf(c_262082,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_258908,c_79]) ).
tcf(c_262083,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),X0) ),
inference(superposition,[status(thm)],[c_258908,c_71]) ).
tcf(c_262084,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xl))
| ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258908,c_71]) ).
tcf(c_262086,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(X0,sdtpldt0(xm,xl)) != sdtpldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_258908,c_80]) ).
tcf(c_262087,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xm,xl) )
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xm,xl) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_258908,c_255973]) ).
tcf(c_262088,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_262079,c_106,c_258822]) ).
tcf(c_262089,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,xl)) != sdtpldt0(xm,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262086,c_106,c_258822]) ).
tcf(c_262093,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262082,c_106,c_258822]) ).
tcf(c_262097,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(X0,sdtpldt0(xm,xl)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262081,c_106,c_258822]) ).
tcf(c_262103,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xl))
| ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262084,c_106,c_258822]) ).
tcf(c_262108,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262083,c_106,c_258822]) ).
tcf(c_262113,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xm,xl) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xm,xl) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262087,c_258822]) ).
tcf(c_262117,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_262088,c_112]) ).
tcf(c_262120,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xm,xl))),xp) = sK3(sz00,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_262088,c_249177]) ).
tcf(c_262122,plain,
( ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sz00) ),
inference(superposition,[status(thm)],[c_262088,c_113]) ).
tcf(c_262123,plain,
( ( sdtpldt0(sz00,sK3(sz00,sdtpldt0(xm,xl))) = sdtpldt0(xm,xl) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_262088,c_76]) ).
tcf(c_262124,plain,
sdtpldt0(sz00,sK3(sz00,sdtpldt0(xm,xl))) = sdtpldt0(xm,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_262123,c_106,c_258822]) ).
tcf(c_262125,plain,
~ sdtlseqdt0(sdtpldt0(xm,xl),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_262122,c_258824,c_106,c_258822]) ).
tcf(c_262126,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262117,c_106,c_258822]) ).
tcf(c_262130,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xm,xl))),xp) = sK3(sz00,sdtpldt0(xm,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_262120,c_106,c_258822]) ).
tcf(c_262137,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(X0,sdtpldt0(xl,sK2))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260691,c_112]) ).
tcf(c_262138,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sK2))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260691,c_259674]) ).
tcf(c_262139,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),sz00) ),
inference(superposition,[status(thm)],[c_260691,c_256023]) ).
tcf(c_262140,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xl,sK2))),xp) = sK3(xq,sdtpldt0(xl,sK2)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260691,c_249177]) ).
tcf(c_262142,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtpldt0(xl,sK2) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),xq) ),
inference(superposition,[status(thm)],[c_260691,c_113]) ).
tcf(c_262143,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtpldt0(xq,sK3(xq,sdtpldt0(xl,sK2))) = sdtpldt0(xl,sK2) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260691,c_76]) ).
tcf(c_262144,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtpldt0(xq,sK3(xq,sdtpldt0(xl,sK2))) = sdtpldt0(xl,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262143,c_62,c_260585]) ).
tcf(c_262147,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtpldt0(xl,sK2) = xq )
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262142,c_62,c_260585]) ).
tcf(c_262151,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(X0,sdtpldt0(xl,sK2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262137,c_62,c_260585]) ).
tcf(c_262156,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xl,sK2))),xp) = sK3(xq,sdtpldt0(xl,sK2)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262140,c_62,c_260585]) ).
tcf(c_262159,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262139,c_62,c_260585]) ).
tcf(c_262164,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sK2))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262138,c_62,c_260585]) ).
tcf(c_262172,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xl))
| ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258909,c_73]) ).
tcf(c_262177,plain,
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xl))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258909,c_148]) ).
tcf(c_262179,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),X0) ),
inference(superposition,[status(thm)],[c_258909,c_73]) ).
tcf(c_262180,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(sdtpldt0(xm,xl),X0) != sdtpldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_258909,c_79]) ).
tcf(c_262181,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(sdtpldt0(xm,xl),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258909,c_71]) ).
tcf(c_262182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xl),X0),sdtpldt0(xm,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258909,c_71]) ).
tcf(c_262184,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_258909,c_80]) ).
tcf(c_262185,plain,
sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_262177,c_106,c_258822]) ).
tcf(c_262186,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262184,c_106,c_258822]) ).
tcf(c_262190,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xl),X0) != sdtpldt0(xm,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262180,c_106,c_258822]) ).
tcf(c_262195,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(sdtpldt0(xm,xl),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262181,c_106,c_258822]) ).
tcf(c_262200,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262179,c_106,c_258822]) ).
tcf(c_262205,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xl))
| ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262172,c_106,c_258822]) ).
tcf(c_262210,plain,
( ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_261995,c_255952,c_261995]) ).
tcf(c_262216,plain,
( ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sz00,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_75,c_262210]) ).
tcf(c_262218,plain,
( ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sz00,sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262216,c_106]) ).
tcf(c_262222,plain,
( ~ sdtlseqdt0(sK3(xq,xm),sz00)
| ~ aNaturalNumber0(sK3(xq,xm))
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sK3(xq,xm) = sK3(xq,xp) ) ),
inference(global_subsumption_just,[status(thm)],[c_257844,c_75706,c_81211,c_257844]) ).
tcf(c_262223,plain,
( ( sK3(xq,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xm))
| ~ sdtlseqdt0(sK3(xq,xm),sz00) ),
inference(renaming,[status(thm)],[c_262222]) ).
tcf(c_262232,plain,
( sdtlseqdt0(sz00,sK3(xq,xm))
| ( sK3(xq,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xm)) ),
inference(superposition,[status(thm)],[c_111,c_262223]) ).
tcf(c_262234,plain,
( sdtlseqdt0(sz00,sK3(xq,xm))
| ( sK3(xq,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262232,c_106]) ).
tcf(c_262239,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_257903,c_87,c_257903]) ).
tcf(c_262252,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_111,c_262239]) ).
tcf(c_262254,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_63,c_262239]) ).
tcf(c_262255,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_543,c_262239]) ).
tcf(c_262258,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_248465,c_262239]) ).
tcf(c_262261,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247974,c_262239]) ).
tcf(c_262262,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247976,c_262239]) ).
tcf(c_262263,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247977,c_262239]) ).
tcf(c_262271,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_248248,c_262239]) ).
tcf(c_262272,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_248484,c_262239]) ).
tcf(c_262276,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xn,xn)) ),
inference(superposition,[status(thm)],[c_248461,c_262239]) ).
tcf(c_262277,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(sK2,sK2))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248459,c_262239]) ).
tcf(c_262280,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_248473,c_262239]) ).
tcf(c_262282,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_248471,c_262239]) ).
tcf(c_262284,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_248469,c_262239]) ).
tcf(c_262287,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249073,c_262239]) ).
tcf(c_262289,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_255422,c_262239]) ).
tcf(c_262290,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249832,c_262239]) ).
tcf(c_262291,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(superposition,[status(thm)],[c_258748,c_262239]) ).
tcf(c_262292,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_258749,c_262239]) ).
tcf(c_262294,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_258747,c_262239]) ).
tcf(c_262295,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),sz00) ),
inference(superposition,[status(thm)],[c_258750,c_262239]) ).
tcf(c_262308,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(sK2,sK2))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262277,c_65]) ).
tcf(c_262321,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262252,c_106]) ).
tcf(c_262330,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_255978,c_14962,c_255978]) ).
tcf(c_262341,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261335,c_262330]) ).
tcf(c_262342,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X1,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))) ),
inference(superposition,[status(thm)],[c_262330,c_112]) ).
tcf(c_262343,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))) ),
inference(superposition,[status(thm)],[c_262330,c_259674]) ).
tcf(c_262344,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_262330,c_256023]) ).
tcf(c_262345,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))),xp) = sK3(sK3(xq,xp),sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))) ),
inference(superposition,[status(thm)],[c_262330,c_249177]) ).
tcf(c_262346,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))) ),
inference(superposition,[status(thm)],[c_262330,c_249154]) ).
tcf(c_262347,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_262330,c_113]) ).
tcf(c_262348,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))) = sdtpldt0(X0,sK3(sz00,sK3(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))) ),
inference(superposition,[status(thm)],[c_262330,c_76]) ).
tcf(c_262349,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))) ),
inference(superposition,[status(thm)],[c_262330,c_260194]) ).
tcf(c_262350,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_262330,c_256026]) ).
tcf(c_262351,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))))
| ( X0 = sz00 )
| ( sdtpldt0(X0,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))) ),
inference(superposition,[status(thm)],[c_262330,c_251344]) ).
tcf(c_262483,plain,
( aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xq,xp)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261335,c_261953]) ).
tcf(c_262511,plain,
( aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_145,c_262483]) ).
tcf(c_262512,plain,
( aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262511,c_59]) ).
tcf(c_262517,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_262341,c_14962,c_145354,c_255952]) ).
tcf(c_262518,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(renaming,[status(thm)],[c_262517]) ).
tcf(c_262527,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_248472,c_262518]) ).
tcf(c_262529,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X1,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_262518,c_112]) ).
tcf(c_262530,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_262518,c_259674]) ).
tcf(c_262531,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_262518,c_256023]) ).
tcf(c_262532,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),sdtpldt0(X0,sK3(xq,xp)))),xp) = sK3(sK3(xq,xp),sdtpldt0(X0,sK3(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_262518,c_249177]) ).
tcf(c_262533,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_262518,c_249154]) ).
tcf(c_262534,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_262518,c_113]) ).
tcf(c_262535,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),sdtpldt0(X0,sK3(xq,xp)))) = sdtpldt0(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_262518,c_76]) ).
tcf(c_262536,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_262518,c_260194]) ).
tcf(c_262537,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_262518,c_256026]) ).
tcf(c_262538,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(X0,sK3(xq,xp))))
| ( X0 = sz00 )
| ( sdtpldt0(X0,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_262518,c_251344]) ).
tcf(c_262539,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ( sz00 = xq )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262527,c_62]) ).
tcf(c_262694,plain,
( aNaturalNumber0(sK3(xm,xm))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xm,xm)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xm,xm))) ),
inference(superposition,[status(thm)],[c_250828,c_108]) ).
tcf(c_262695,plain,
( aNaturalNumber0(sK3(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xm,xm)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xm,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262694,c_38242,c_59]) ).
tcf(c_262702,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xm,xl),sdtpldt0(xm,xl))),xp) = sK3(sdtpldt0(xm,xl),sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_262185,c_249177]) ).
tcf(c_262703,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xl))
| sdtlseqdt0(sdtpldt0(xm,xl),xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_262185,c_249154]) ).
tcf(c_262705,plain,
( ( sdtpldt0(sdtpldt0(xm,xl),sK3(sdtpldt0(xm,xl),sdtpldt0(xm,xl))) = sdtpldt0(xm,xl) )
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_262185,c_76]) ).
tcf(c_262706,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xl))
| sdtlseqdt0(sdtpldt0(xm,xl),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262703,c_258822]) ).
tcf(c_262709,plain,
sdtpldt0(sdtpldt0(xm,xl),sK3(sdtpldt0(xm,xl),sdtpldt0(xm,xl))) = sdtpldt0(xm,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_262705,c_258822]) ).
tcf(c_262710,plain,
sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xm,xl),sdtpldt0(xm,xl))),xp) = sK3(sdtpldt0(xm,xl),sdtpldt0(xm,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_262702,c_258822]) ).
tcf(c_262711,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_259211,c_73]) ).
tcf(c_262712,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_259211,c_262239]) ).
tcf(c_262717,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259211,c_148]) ).
tcf(c_262719,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_259211,c_73]) ).
tcf(c_262720,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_259211,c_79]) ).
tcf(c_262721,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_259211,c_71]) ).
tcf(c_262722,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_259211,c_71]) ).
tcf(c_262724,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_259211,c_80]) ).
tcf(c_262725,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xl,xn) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_259211,c_255973]) ).
tcf(c_262726,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_262717,c_106,c_259154]) ).
tcf(c_262728,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,xn)) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262724,c_106,c_259154]) ).
tcf(c_262732,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262720,c_106,c_259154]) ).
tcf(c_262736,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_262719,c_106,c_259154]) ).
tcf(c_262742,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_262722,c_106,c_259154]) ).
tcf(c_262747,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_262721,c_106,c_259154]) ).
tcf(c_262752,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xl,xn) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262725,c_259154]) ).
tcf(c_262756,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_262726,c_112]) ).
tcf(c_262759,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xl,xn))),xp) = sK3(sz00,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_262726,c_249177]) ).
tcf(c_262761,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_262726,c_113]) ).
tcf(c_262762,plain,
( ( sdtpldt0(sz00,sK3(sz00,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_262726,c_76]) ).
tcf(c_262763,plain,
sdtpldt0(sz00,sK3(sz00,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_262762,c_106,c_259154]) ).
tcf(c_262764,plain,
~ sdtlseqdt0(sdtpldt0(xl,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_262761,c_259159,c_106,c_259154]) ).
tcf(c_262765,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262756,c_106,c_259154]) ).
tcf(c_262769,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xl,xn))),xp) = sK3(sz00,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_262759,c_106,c_259154]) ).
tcf(c_262792,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_259212,c_73]) ).
tcf(c_262798,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259212,c_148]) ).
tcf(c_262800,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_259212,c_73]) ).
tcf(c_262801,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_259212,c_79]) ).
tcf(c_262802,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_259212,c_71]) ).
tcf(c_262803,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_259212,c_71]) ).
tcf(c_262805,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_259212,c_80]) ).
tcf(c_262806,plain,
sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_262798,c_106,c_259154]) ).
tcf(c_262807,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262805,c_106,c_259154]) ).
tcf(c_262811,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262801,c_106,c_259154]) ).
tcf(c_262816,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_262802,c_106,c_259154]) ).
tcf(c_262821,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_262800,c_106,c_259154]) ).
tcf(c_262826,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_262792,c_106,c_259154]) ).
tcf(c_262861,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xl,xn),sdtpldt0(xl,xn))),xp) = sK3(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_262806,c_249177]) ).
tcf(c_262862,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_262806,c_249154]) ).
tcf(c_262864,plain,
( ( sdtpldt0(sdtpldt0(xl,xn),sK3(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_262806,c_76]) ).
tcf(c_262865,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262862,c_259154]) ).
tcf(c_262868,plain,
sdtpldt0(sdtpldt0(xl,xn),sK3(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) = sdtpldt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_262864,c_259154]) ).
tcf(c_262869,plain,
sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xl,xn),sdtpldt0(xl,xn))),xp) = sK3(sdtpldt0(xl,xn),sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_262861,c_259154]) ).
tcf(c_262895,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_259518,c_73]) ).
tcf(c_262896,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(superposition,[status(thm)],[c_259518,c_262239]) ).
tcf(c_262901,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259518,c_148]) ).
tcf(c_262903,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_259518,c_73]) ).
tcf(c_262904,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_259518,c_79]) ).
tcf(c_262905,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_259518,c_71]) ).
tcf(c_262906,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_259518,c_71]) ).
tcf(c_262908,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_259518,c_80]) ).
tcf(c_262909,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xl,xp) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_259518,c_255973]) ).
tcf(c_262910,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_262901,c_106,c_259440]) ).
tcf(c_262912,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,xp)) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262908,c_106,c_259440]) ).
tcf(c_262916,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262904,c_106,c_259440]) ).
tcf(c_262920,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_262903,c_106,c_259440]) ).
tcf(c_262926,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_262906,c_106,c_259440]) ).
tcf(c_262931,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_262905,c_106,c_259440]) ).
tcf(c_262936,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xl,xp) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262909,c_259440]) ).
tcf(c_262962,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_262910,c_112]) ).
tcf(c_262965,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xl,xp))),xp) = sK3(sz00,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_262910,c_249177]) ).
tcf(c_262967,plain,
( ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(superposition,[status(thm)],[c_262910,c_113]) ).
tcf(c_262968,plain,
( ( sdtpldt0(sz00,sK3(sz00,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_262910,c_76]) ).
tcf(c_262969,plain,
sdtpldt0(sz00,sK3(sz00,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_262968,c_106,c_259440]) ).
tcf(c_262970,plain,
~ sdtlseqdt0(sdtpldt0(xl,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_262967,c_259443,c_106,c_259440]) ).
tcf(c_262971,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262962,c_106,c_259440]) ).
tcf(c_262975,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xl,xp))),xp) = sK3(sz00,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_262965,c_106,c_259440]) ).
tcf(c_262980,plain,
( ~ aNaturalNumber0(sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_257951,c_154821]) ).
tcf(c_262981,plain,
( sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(renaming,[status(thm)],[c_262980]) ).
tcf(c_262982,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_257904,c_100,c_257904]) ).
tcf(c_262996,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_111,c_262982]) ).
tcf(c_263000,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK4(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK4(sz00,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248525,c_262982]) ).
tcf(c_263007,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( xl = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248005,c_262982]) ).
tcf(c_263008,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248006,c_262982]) ).
tcf(c_263009,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248007,c_262982]) ).
tcf(c_263010,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248008,c_262982]) ).
tcf(c_263011,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248009,c_262982]) ).
tcf(c_263012,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sz00 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248010,c_262982]) ).
tcf(c_263013,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_248245,c_262982]) ).
tcf(c_263016,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ( sK4(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_248533,c_262982]) ).
tcf(c_263017,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_250124,c_262982]) ).
tcf(c_263018,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_250119,c_262982]) ).
tcf(c_263019,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ( sK4(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK4(xl,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248531,c_262982]) ).
tcf(c_263020,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| ( sK4(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK4(xm,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248530,c_262982]) ).
tcf(c_263021,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| ( sK4(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK4(xp,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248529,c_262982]) ).
tcf(c_263022,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ( sK4(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK4(xn,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248527,c_262982]) ).
tcf(c_263023,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK4(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK4(xq,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248528,c_262982]) ).
tcf(c_263024,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ( sK4(sK2,sz00) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK4(sK2,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248526,c_262982]) ).
tcf(c_263025,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK3(xq,xp))
| ( sK4(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_248688,c_262982]) ).
tcf(c_263026,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_250123,c_262982]) ).
tcf(c_263027,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK3(xq,xp))
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_250127,c_262982]) ).
tcf(c_263028,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258906,c_262982]) ).
tcf(c_263030,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259209,c_262982]) ).
tcf(c_263032,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259516,c_262982]) ).
tcf(c_263034,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_260480,c_262982]) ).
tcf(c_263036,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(xl,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260635,c_262982]) ).
tcf(c_263038,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sz00 = sK2 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263012,c_65,c_106,c_248101]) ).
tcf(c_263042,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sz00 = xq )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263011,c_62,c_106,c_248101]) ).
tcf(c_263047,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( xn = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263009,c_106,c_51,c_248101]) ).
tcf(c_263058,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263026,c_50,c_248101]) ).
tcf(c_263063,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ( sK4(sK2,sz00) = sz00 )
| ~ aNaturalNumber0(sK4(sK2,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263024,c_65,c_248101]) ).
tcf(c_263068,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK4(xq,sz00) = sz00 )
| ~ aNaturalNumber0(sK4(xq,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263023,c_62,c_248101]) ).
tcf(c_263073,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ( sK4(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sK4(xn,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263022,c_51,c_248101]) ).
tcf(c_263081,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263017,c_49,c_248101]) ).
tcf(c_263087,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK4(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sK4(sz00,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263000,c_106,c_248101]) ).
tcf(c_263092,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263018,c_62,c_248101]) ).
tcf(c_263098,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262996,c_106]) ).
tcf(c_263106,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ( sK4(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263016,c_49]) ).
tcf(c_263112,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK3(xq,xp))
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263027,c_248101,c_248038]) ).
tcf(c_263117,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK3(xq,xp))
| ( sK4(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263025,c_248101,c_248038]) ).
tcf(c_263240,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sK3(xq,xp)) != sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_261343,c_145344,c_255952]) ).
tcf(c_263241,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(X0,sK3(xq,xp)) != sK3(xq,xp) ) ),
inference(renaming,[status(thm)],[c_263240]) ).
tcf(c_263250,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) != xp ) ),
inference(superposition,[status(thm)],[c_248472,c_263241]) ).
tcf(c_263252,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263250,c_62]) ).
tcf(c_263332,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),X0)
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_111,c_255985]) ).
tcf(c_263333,plain,
( sdtlseqdt0(sdtpldt0(sz00,xq),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_258432,c_255985]) ).
tcf(c_263334,plain,
( sdtlseqdt0(sdtpldt0(sz00,xq),sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ( sdtpldt0(sK3(sz00,sK3(xq,xp)),sK3(sK3(sz00,sK3(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_249136,c_255985]) ).
tcf(c_263335,plain,
( sdtlseqdt0(sdtpldt0(sz00,xq),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xp)
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_249119,c_255985]) ).
tcf(c_263336,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp))),xp) = sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_259044,c_255985]) ).
tcf(c_263337,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ( sdtpldt0(sK3(sz00,sK3(xq,xp)),sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_258999,c_255985]) ).
tcf(c_263338,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_254410,c_255985]) ).
tcf(c_263339,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xl)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_257381,c_255985]) ).
tcf(c_263340,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_257290,c_255985]) ).
tcf(c_263341,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xn)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_257199,c_255985]) ).
tcf(c_263342,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xq)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_256946,c_255985]) ).
tcf(c_263343,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),sK2)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_256429,c_255985]) ).
tcf(c_263344,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xp)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_250649,c_255985]) ).
tcf(c_263345,plain,
( sdtlseqdt0(sdtpldt0(sz00,xl),sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(sz00,sK3(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_256315,c_255985]) ).
tcf(c_263348,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263338,c_247978]) ).
tcf(c_263349,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263348,c_106]) ).
tcf(c_263353,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(sz00,sK3(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263345,c_247983]) ).
tcf(c_263354,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(sz00,sK3(xq,xp)) = xl )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263353,c_49]) ).
tcf(c_263359,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xp)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263344,c_247978]) ).
tcf(c_263360,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xp)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263359,c_106]) ).
tcf(c_263365,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),sK2)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263343,c_247978]) ).
tcf(c_263366,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),sK2)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263365,c_106]) ).
tcf(c_263371,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xq)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263342,c_247978]) ).
tcf(c_263372,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xq)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263371,c_106]) ).
tcf(c_263377,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xn)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263341,c_247978]) ).
tcf(c_263378,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xn)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263377,c_106]) ).
tcf(c_263383,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263340,c_247978]) ).
tcf(c_263384,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263383,c_106]) ).
tcf(c_263389,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xl)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263339,c_247978]) ).
tcf(c_263390,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xl)
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263389,c_106]) ).
tcf(c_263395,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xp)
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263335,c_247987]) ).
tcf(c_263396,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xp)
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263395,c_62]) ).
tcf(c_263401,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263333,c_247987]) ).
tcf(c_263402,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(sz00,sK3(xq,xp)),xm)
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263401,c_62]) ).
tcf(c_263412,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ( sdtpldt0(sK3(sz00,sK3(xq,xp)),sK3(sK3(sz00,sK3(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263334,c_247987]) ).
tcf(c_263413,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ( sdtpldt0(sK3(sz00,sK3(xq,xp)),sK3(sK3(sz00,sK3(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263412,c_62]) ).
tcf(c_263418,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ( sdtpldt0(sK3(sz00,sK3(xq,xp)),sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263337,c_247978]) ).
tcf(c_263419,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ( sdtpldt0(sK3(sz00,sK3(xq,xp)),sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263418,c_106]) ).
tcf(c_263424,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp))),xp) = sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263336,c_247978]) ).
tcf(c_263425,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp))),xp) = sK3(sK3(sz00,sK3(xq,xp)),sK3(xq,xp)) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263424,c_106]) ).
tcf(c_263442,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,sdtpldt0(sK3(sz00,sK3(xq,xp)),X0)))
| ( sdtpldt0(sK3(sz00,sK3(xq,xp)),X0) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK3(sz00,sK3(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_148,c_255991]) ).
tcf(c_263443,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,sdtasdt0(sK3(sz00,sK3(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sdtasdt0(sK3(sz00,sK3(xq,xp)),X0) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK3(sz00,sK3(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_88,c_255991]) ).
tcf(c_263445,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X0))
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_111,c_255991]) ).
tcf(c_263446,plain,
( sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xq))
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_256946,c_255991]) ).
tcf(c_263447,plain,
( sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xp))
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_250649,c_255991]) ).
tcf(c_263448,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xp))
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ( sdtpldt0(xq,sK3(xq,sK3(sz00,sK3(xq,xp)))) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_249145,c_255991]) ).
tcf(c_263449,plain,
( sdtlseqdt0(xq,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xp))
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_249119,c_255991]) ).
tcf(c_263450,plain,
( sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xl))
| ( sK3(sz00,sK3(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_257381,c_255991]) ).
tcf(c_263451,plain,
( sdtlseqdt0(xq,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xm))
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_258432,c_255991]) ).
tcf(c_263452,plain,
( sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xm))
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_257290,c_255991]) ).
tcf(c_263453,plain,
( sdtlseqdt0(xl,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xm))
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_256315,c_255991]) ).
tcf(c_263454,plain,
( sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,xn))
| ( sK3(sz00,sK3(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_257199,c_255991]) ).
tcf(c_263455,plain,
( sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,sK2))
| ( sK3(sz00,sK3(xq,xp)) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_256429,c_255991]) ).
tcf(c_263462,plain,
( sdtlseqdt0(sK3(xq,xp),sK2)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263455,c_247988]) ).
tcf(c_263463,plain,
( sdtlseqdt0(sK3(xq,xp),sK2)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = sK2 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263462,c_65]) ).
tcf(c_263468,plain,
( sdtlseqdt0(sK3(xq,xp),xn)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263454,c_247985]) ).
tcf(c_263469,plain,
( sdtlseqdt0(sK3(xq,xp),xn)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = xn )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263468,c_51]) ).
tcf(c_263474,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(xl,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263453,c_247984]) ).
tcf(c_263475,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(xl,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263474,c_50]) ).
tcf(c_263480,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263452,c_247984]) ).
tcf(c_263481,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263480,c_50]) ).
tcf(c_263486,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(xq,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263451,c_247984]) ).
tcf(c_263487,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(xq,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263486,c_50]) ).
tcf(c_263492,plain,
( sdtlseqdt0(sK3(xq,xp),xl)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263450,c_247983]) ).
tcf(c_263493,plain,
( sdtlseqdt0(sK3(xq,xp),xl)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = xl )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263492,c_49]) ).
tcf(c_263498,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(xq,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263449,c_247986]) ).
tcf(c_263499,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(xq,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263498,c_59]) ).
tcf(c_263504,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263447,c_247986]) ).
tcf(c_263505,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263504,c_59]) ).
tcf(c_263510,plain,
( sdtlseqdt0(sK3(xq,xp),xq)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263446,c_247987]) ).
tcf(c_263511,plain,
( sdtlseqdt0(sK3(xq,xp),xq)
| sdtlseqdt0(sz00,sK3(sz00,sK3(xq,xp)))
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263510,c_62]) ).
tcf(c_263521,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ( sdtpldt0(xq,sK3(xq,sK3(sz00,sK3(xq,xp)))) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_263448,c_247986]) ).
tcf(c_263522,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ( sdtpldt0(xq,sK3(xq,sK3(sz00,sK3(xq,xp)))) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263521,c_59]) ).
tcf(c_263595,plain,
! [X0: $i] :
( ( sdtpldt0(sK3(xq,xp),X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK3(xq,xp),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258265,c_87]) ).
tcf(c_263608,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sK3(xq,xp),X0))
| ( sdtpldt0(sK3(xq,xp),X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK3(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_111,c_263595]) ).
tcf(c_263610,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sK3(xq,xp),X0))
| ( sdtpldt0(sK3(xq,xp),X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK3(xq,xp),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263608,c_106]) ).
tcf(c_263622,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK3(xq,xp),X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK3(xq,xp),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_258266,c_100]) ).
tcf(c_263638,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK3(xq,xp),X0))
| ( X0 = sz00 )
| ( sdtasdt0(sK3(xq,xp),X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK3(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_111,c_263622]) ).
tcf(c_263640,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK3(xq,xp),X0))
| ( X0 = sz00 )
| ( sdtasdt0(sK3(xq,xp),X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK3(xq,xp),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263638,c_106]) ).
tcf(c_263667,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,sz00) )
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(sz00,sz00),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248465,c_261341]) ).
tcf(c_263675,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,xl) )
| ~ aNaturalNumber0(sK3(sz00,xl))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(sz00,xl),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248475,c_261341]) ).
tcf(c_263676,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,xm) )
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(sz00,xm),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248474,c_261341]) ).
tcf(c_263677,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,xn) )
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(sz00,xn),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248473,c_261341]) ).
tcf(c_263678,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,xq) )
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(sz00,xq),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248471,c_261341]) ).
tcf(c_263679,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,xp) )
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(sz00,xp),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248470,c_261341]) ).
tcf(c_263680,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,sK2) )
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(sz00,sK2),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248469,c_261341]) ).
tcf(c_263682,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sdtasdt0(xl,xq)) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK3(sz00,sdtasdt0(xl,xq)),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_249073,c_261341]) ).
tcf(c_263687,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X1,sK3(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261341,c_112]) ).
tcf(c_263688,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261341,c_259674]) ).
tcf(c_263689,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),sz00)
| ~ sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261341,c_256023]) ).
tcf(c_263690,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(sz00,X0),sK3(xq,xp))),xp) = sK3(sdtpldt0(sz00,X0),sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261341,c_249177]) ).
tcf(c_263691,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261341,c_249154]) ).
tcf(c_263692,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_261341,c_113]) ).
tcf(c_263693,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK3(sdtpldt0(sz00,X0),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261341,c_76]) ).
tcf(c_263694,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261341,c_251249]) ).
tcf(c_263918,plain,
( aNaturalNumber0(sK3(xl,xl))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xl,xl)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xl,xl))) ),
inference(superposition,[status(thm)],[c_250829,c_108]) ).
tcf(c_263919,plain,
( aNaturalNumber0(sK3(xl,xl))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xl,xl)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xl,xl))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263918,c_38242,c_59]) ).
tcf(c_263925,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_259519,c_73]) ).
tcf(c_263931,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259519,c_148]) ).
tcf(c_263933,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_259519,c_73]) ).
tcf(c_263934,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_259519,c_79]) ).
tcf(c_263935,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_259519,c_71]) ).
tcf(c_263936,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_259519,c_71]) ).
tcf(c_263938,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_259519,c_80]) ).
tcf(c_263939,plain,
sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_263931,c_106,c_259440]) ).
tcf(c_263940,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263938,c_106,c_259440]) ).
tcf(c_263944,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_263934,c_106,c_259440]) ).
tcf(c_263949,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_263935,c_106,c_259440]) ).
tcf(c_263954,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_263933,c_106,c_259440]) ).
tcf(c_263959,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_263925,c_106,c_259440]) ).
tcf(c_263995,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xl,xp),sdtpldt0(xl,xp))),xp) = sK3(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_263939,c_249177]) ).
tcf(c_263998,plain,
( ( sdtpldt0(sdtpldt0(xl,xp),sK3(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_263939,c_76]) ).
tcf(c_263999,plain,
sdtpldt0(sdtpldt0(xl,xp),sK3(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) = sdtpldt0(xl,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_263998,c_259440]) ).
tcf(c_264000,plain,
sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xl,xp),sdtpldt0(xl,xp))),xp) = sK3(sdtpldt0(xl,xp),sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_263995,c_259440]) ).
tcf(c_264001,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_260482,c_73]) ).
tcf(c_264002,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_260482,c_262239]) ).
tcf(c_264007,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_260482,c_148]) ).
tcf(c_264009,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_260482,c_73]) ).
tcf(c_264010,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_260482,c_79]) ).
tcf(c_264011,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_260482,c_71]) ).
tcf(c_264012,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_260482,c_71]) ).
tcf(c_264014,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_260482,c_80]) ).
tcf(c_264016,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xl,xq) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_260482,c_255973]) ).
tcf(c_264017,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_264007,c_106,c_260391]) ).
tcf(c_264019,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,xq)) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264014,c_106,c_260391]) ).
tcf(c_264023,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264010,c_106,c_260391]) ).
tcf(c_264027,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_264009,c_106,c_260391]) ).
tcf(c_264033,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_264012,c_106,c_260391]) ).
tcf(c_264038,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_264011,c_106,c_260391]) ).
tcf(c_264043,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xl,xq) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264016,c_260391]) ).
tcf(c_264047,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_264017,c_112]) ).
tcf(c_264050,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xl,xq))),xp) = sK3(sz00,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_264017,c_249177]) ).
tcf(c_264052,plain,
( ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_264017,c_113]) ).
tcf(c_264053,plain,
( ( sdtpldt0(sz00,sK3(sz00,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_264017,c_76]) ).
tcf(c_264054,plain,
sdtpldt0(sz00,sK3(sz00,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_264053,c_106,c_260391]) ).
tcf(c_264055,plain,
~ sdtlseqdt0(sdtpldt0(xl,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_264052,c_260396,c_106,c_260391]) ).
tcf(c_264056,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264047,c_106,c_260391]) ).
tcf(c_264060,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xl,xq))),xp) = sK3(sz00,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_264050,c_106,c_260391]) ).
tcf(c_264063,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_260483,c_73]) ).
tcf(c_264069,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_260483,c_148]) ).
tcf(c_264071,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_260483,c_73]) ).
tcf(c_264072,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_260483,c_79]) ).
tcf(c_264073,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_260483,c_71]) ).
tcf(c_264074,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_260483,c_71]) ).
tcf(c_264076,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_260483,c_80]) ).
tcf(c_264077,plain,
sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_264069,c_106,c_260391]) ).
tcf(c_264078,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264076,c_106,c_260391]) ).
tcf(c_264082,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264072,c_106,c_260391]) ).
tcf(c_264087,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_264073,c_106,c_260391]) ).
tcf(c_264092,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_264071,c_106,c_260391]) ).
tcf(c_264097,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_264063,c_106,c_260391]) ).
tcf(c_264105,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xl,xq),sdtpldt0(xl,xq))),xp) = sK3(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_264077,c_249177]) ).
tcf(c_264108,plain,
( ( sdtpldt0(sdtpldt0(xl,xq),sK3(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_264077,c_76]) ).
tcf(c_264109,plain,
sdtpldt0(sdtpldt0(xl,xq),sK3(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) = sdtpldt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_264108,c_260391]) ).
tcf(c_264110,plain,
sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xl,xq),sdtpldt0(xl,xq))),xp) = sK3(sdtpldt0(xl,xq),sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_264105,c_260391]) ).
tcf(c_264124,plain,
( sdtlseqdt0(sK3(xq,xp),sz00)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,sz00) )
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_248465,c_261342]) ).
tcf(c_264132,plain,
( sdtlseqdt0(sK3(xq,xp),xl)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,xl) )
| ~ aNaturalNumber0(sK3(sz00,xl))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(sz00,xl)) ),
inference(superposition,[status(thm)],[c_248475,c_261342]) ).
tcf(c_264133,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,xm) )
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(sz00,xm)) ),
inference(superposition,[status(thm)],[c_248474,c_261342]) ).
tcf(c_264134,plain,
( sdtlseqdt0(sK3(xq,xp),xn)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,xn) )
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_248473,c_261342]) ).
tcf(c_264135,plain,
( sdtlseqdt0(sK3(xq,xp),xq)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,xq) )
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_248471,c_261342]) ).
tcf(c_264136,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,xp) )
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(sz00,xp)) ),
inference(superposition,[status(thm)],[c_248470,c_261342]) ).
tcf(c_264137,plain,
( sdtlseqdt0(sK3(xq,xp),sK2)
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,sK2) )
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_248469,c_261342]) ).
tcf(c_264139,plain,
( sdtlseqdt0(sK3(xq,xp),sdtasdt0(xl,xq))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sdtasdt0(xl,xq)) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249073,c_261342]) ).
tcf(c_264145,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X1,sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261342,c_112]) ).
tcf(c_264146,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261342,c_259674]) ).
tcf(c_264147,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261342,c_256023]) ).
tcf(c_264148,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),sdtpldt0(sz00,X0))),xp) = sK3(sK3(xq,xp),sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261342,c_249177]) ).
tcf(c_264149,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261342,c_249154]) ).
tcf(c_264150,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_261342,c_113]) ).
tcf(c_264151,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261342,c_76]) ).
tcf(c_264152,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261342,c_260194]) ).
tcf(c_264153,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261342,c_256026]) ).
tcf(c_264154,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,X0)))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_261342,c_251344]) ).
tcf(c_264322,plain,
( aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,sK3(xq,xp))))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,sK3(xq,xp)))) ),
inference(light_normalisation,[status(thm)],[c_256096,c_256712]) ).
tcf(c_264325,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sz00)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_262537,c_145344,c_255952,c_262537]) ).
tcf(c_264326,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_264325]) ).
tcf(c_264337,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_111,c_264326]) ).
tcf(c_264341,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264337,c_106]) ).
tcf(c_264347,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sK3(xq,xp))
| ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_257901,c_87,c_257901]) ).
tcf(c_264358,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sK3(xq,xp))
| ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264347,c_87]) ).
tcf(c_264383,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sK3(xq,xp))
| ( X1 = X2 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_111,c_264358]) ).
tcf(c_264385,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sK3(xq,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_63,c_264358]) ).
tcf(c_264386,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_543,c_264358]) ).
tcf(c_264387,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247978,c_264358]) ).
tcf(c_264389,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ sdtlseqdt0(X0,sK3(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_248465,c_264358]) ).
tcf(c_264392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247974,c_264358]) ).
tcf(c_264393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247976,c_264358]) ).
tcf(c_264394,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247977,c_264358]) ).
tcf(c_264397,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247985,c_264358]) ).
tcf(c_264399,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247987,c_264358]) ).
tcf(c_264400,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247988,c_264358]) ).
tcf(c_264401,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_248247,c_264358]) ).
tcf(c_264402,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_248248,c_264358]) ).
tcf(c_264403,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sK3(xq,xp))
| ( sK3(xm,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_248484,c_264358]) ).
tcf(c_264407,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sK3(xq,xp))
| ( sK3(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xn,xn))
| ~ sdtlseqdt0(X0,sK3(xn,xn)) ),
inference(superposition,[status(thm)],[c_248461,c_264358]) ).
tcf(c_264408,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK3(xq,xp))
| ( sK3(sK2,sK2) = X0 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(sK2,sK2))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(sK2,sK2)) ),
inference(superposition,[status(thm)],[c_248459,c_264358]) ).
tcf(c_264411,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ sdtlseqdt0(X0,sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_248473,c_264358]) ).
tcf(c_264413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(sz00,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ sdtlseqdt0(X0,sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_248471,c_264358]) ).
tcf(c_264415,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(sz00,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ sdtlseqdt0(X0,sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_248469,c_264358]) ).
tcf(c_264417,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sz00)
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_261369,c_264358]) ).
tcf(c_264418,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249073,c_264358]) ).
tcf(c_264420,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_255422,c_264358]) ).
tcf(c_264421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sK3(xq,xp))
| ( sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249832,c_264358]) ).
tcf(c_264426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK3(xq,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),sz00) ),
inference(superposition,[status(thm)],[c_258750,c_264358]) ).
tcf(c_264436,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264400,c_65,c_106]) ).
tcf(c_264443,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264399,c_62,c_106]) ).
tcf(c_264450,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264397,c_106,c_51]) ).
tcf(c_264457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264394,c_65,c_106]) ).
tcf(c_264464,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264393,c_62,c_106]) ).
tcf(c_264471,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264392,c_106,c_51]) ).
tcf(c_264478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK3(xq,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264426,c_65,c_49]) ).
tcf(c_264485,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264386,c_65,c_50]) ).
tcf(c_264492,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sK3(xq,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264385,c_51,c_50]) ).
tcf(c_264499,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sz00)
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264417,c_106]) ).
tcf(c_264506,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(sz00,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ sdtlseqdt0(X0,sK3(sz00,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264415,c_106]) ).
tcf(c_264514,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ sdtlseqdt0(X0,sK3(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264413,c_106]) ).
tcf(c_264522,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ sdtlseqdt0(X0,sK3(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264411,c_106]) ).
tcf(c_264530,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK3(xq,xp))
| ( sK3(sK2,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(sK2,sK2))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(sK2,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264408,c_65]) ).
tcf(c_264538,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sK3(xq,xp))
| ( sK3(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xn,xn))
| ~ sdtlseqdt0(X0,sK3(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264407,c_51]) ).
tcf(c_264547,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ sdtlseqdt0(X0,sK3(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264389,c_106,c_248101]) ).
tcf(c_264554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264401,c_106,c_248038]) ).
tcf(c_264561,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sK3(xq,xp))
| ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264383,c_106]) ).
tcf(c_264571,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(X0,sK3(sz00,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264420,c_106]) ).
tcf(c_264579,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264418,c_106]) ).
tcf(c_264587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sK3(xq,xp))
| ( sK3(xm,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(xm,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264403,c_50]) ).
tcf(c_264595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sK3(xq,xp))
| ( sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264421,c_248038]) ).
tcf(c_264685,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X2,X1),sK3(xq,xp))
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_257902,c_87,c_257902]) ).
tcf(c_264696,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X2,X1),sK3(xq,xp))
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264685,c_87]) ).
tcf(c_264721,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sK3(xq,xp))
| ( X0 = X2 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_111,c_264696]) ).
tcf(c_264723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK3(xq,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_63,c_264696]) ).
tcf(c_264724,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2),sK3(xq,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_543,c_264696]) ).
tcf(c_264725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247978,c_264696]) ).
tcf(c_264727,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sz00)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_248465,c_264696]) ).
tcf(c_264730,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK3(xq,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247974,c_264696]) ).
tcf(c_264731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK3(xq,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247976,c_264696]) ).
tcf(c_264732,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247977,c_264696]) ).
tcf(c_264735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247985,c_264696]) ).
tcf(c_264737,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247987,c_264696]) ).
tcf(c_264738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247988,c_264696]) ).
tcf(c_264739,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xq)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_248247,c_264696]) ).
tcf(c_264740,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK3(xq,xp))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_248248,c_264696]) ).
tcf(c_264741,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xm,sdtasdt0(xl,xq))),sK3(xq,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_248484,c_264696]) ).
tcf(c_264745,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xn,xn)),sK3(xq,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xn,xn)) ),
inference(superposition,[status(thm)],[c_248461,c_264696]) ).
tcf(c_264746,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sK2,sK2)),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(sK2,sK2))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248459,c_264696]) ).
tcf(c_264749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,xn)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_248473,c_264696]) ).
tcf(c_264751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,xq)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_248471,c_264696]) ).
tcf(c_264753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK2)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_248469,c_264696]) ).
tcf(c_264755,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_261369,c_264696]) ).
tcf(c_264756,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sdtasdt0(xl,xq))),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249073,c_264696]) ).
tcf(c_264758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_255422,c_264696]) ).
tcf(c_264759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))),sK3(xq,xp))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249832,c_264696]) ).
tcf(c_264764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),sz00) ),
inference(superposition,[status(thm)],[c_258750,c_264696]) ).
tcf(c_264774,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264738,c_65,c_106]) ).
tcf(c_264781,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264737,c_62,c_106]) ).
tcf(c_264788,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264735,c_106,c_51]) ).
tcf(c_264795,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264732,c_65,c_106]) ).
tcf(c_264802,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK3(xq,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264731,c_62,c_106]) ).
tcf(c_264809,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK3(xq,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264730,c_106,c_51]) ).
tcf(c_264817,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264764,c_65,c_49]) ).
tcf(c_264824,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2),sK3(xq,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264724,c_65,c_50]) ).
tcf(c_264831,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK3(xq,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264723,c_51,c_50]) ).
tcf(c_264838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK2)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264753,c_106]) ).
tcf(c_264846,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,xq)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264751,c_106]) ).
tcf(c_264854,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sz00,xn)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264749,c_106]) ).
tcf(c_264862,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sK2,sK2)),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(sK2,sK2))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264746,c_65]) ).
tcf(c_264870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xn,xn)),sK3(xq,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264745,c_51]) ).
tcf(c_264880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK3(xq,xp))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264740,c_106,c_248038]) ).
tcf(c_264887,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sK3(xq,xp))
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264721,c_106]) ).
tcf(c_264899,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xm,sdtasdt0(xl,xq))),sK3(xq,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264741,c_50]) ).
tcf(c_264907,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))),sK3(xq,xp))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_264759,c_248038]) ).
tcf(c_265017,plain,
( aNaturalNumber0(sK3(xp,xp))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xp,xp)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xp,xp))) ),
inference(superposition,[status(thm)],[c_250830,c_108]) ).
tcf(c_265018,plain,
( aNaturalNumber0(sK3(xp,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xp,xp)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xp,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265017,c_38242,c_59]) ).
tcf(c_265022,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sK2)),sdtpldt0(xl,sK2))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260637,c_73]) ).
tcf(c_265023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sK2)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),sz00) ),
inference(superposition,[status(thm)],[c_260637,c_264696]) ).
tcf(c_265024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sdtpldt0(xl,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260637,c_264358]) ).
tcf(c_265025,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),sz00) ),
inference(superposition,[status(thm)],[c_260637,c_262239]) ).
tcf(c_265030,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sK2))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260637,c_148]) ).
tcf(c_265032,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK2),sdtpldt0(X0,sdtpldt0(xl,sK2)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260637,c_73]) ).
tcf(c_265033,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,sK2) ) ),
inference(superposition,[status(thm)],[c_260637,c_79]) ).
tcf(c_265034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK2),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),X0) ),
inference(superposition,[status(thm)],[c_260637,c_71]) ).
tcf(c_265035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sK2))
| ( sdtpldt0(xl,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260637,c_71]) ).
tcf(c_265037,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ( sdtpldt0(X0,sdtpldt0(xl,sK2)) != sdtpldt0(xl,sK2) ) ),
inference(superposition,[status(thm)],[c_260637,c_80]) ).
tcf(c_265040,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xl,sK2) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xl,sK2) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_260637,c_255973]) ).
tcf(c_265041,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_265030,c_106,c_260585]) ).
tcf(c_265043,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,sK2)) != sdtpldt0(xl,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265037,c_106,c_260585]) ).
tcf(c_265047,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265033,c_106,c_260585]) ).
tcf(c_265051,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK2),sdtpldt0(X0,sdtpldt0(xl,sK2)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265032,c_106,c_260585]) ).
tcf(c_265057,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sK2))
| ( sdtpldt0(xl,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265035,c_106,c_260585]) ).
tcf(c_265062,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK2),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265034,c_106,c_260585]) ).
tcf(c_265067,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xl,sK2) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xl,sK2) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265040,c_260585]) ).
tcf(c_265072,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sdtpldt0(xl,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265024,c_106,c_260585]) ).
tcf(c_265079,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sK2))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_265041,c_112]) ).
tcf(c_265082,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xl,sK2))),xp) = sK3(sz00,sdtpldt0(xl,sK2)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_265041,c_249177]) ).
tcf(c_265084,plain,
( ( sdtpldt0(xl,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),sz00) ),
inference(superposition,[status(thm)],[c_265041,c_113]) ).
tcf(c_265085,plain,
( ( sdtpldt0(sz00,sK3(sz00,sdtpldt0(xl,sK2))) = sdtpldt0(xl,sK2) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_265041,c_76]) ).
tcf(c_265086,plain,
sdtpldt0(sz00,sK3(sz00,sdtpldt0(xl,sK2))) = sdtpldt0(xl,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_265085,c_106,c_260585]) ).
tcf(c_265087,plain,
~ sdtlseqdt0(sdtpldt0(xl,sK2),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_265084,c_260590,c_106,c_260585]) ).
tcf(c_265088,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sK2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265079,c_106,c_260585]) ).
tcf(c_265092,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xl,sK2))),xp) = sK3(sz00,sdtpldt0(xl,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_265082,c_106,c_260585]) ).
tcf(c_265095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sK2))
| ( sdtpldt0(xl,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260638,c_73]) ).
tcf(c_265103,plain,
( sdtlseqdt0(sdtpldt0(xl,sK2),sdtpldt0(xl,sK2))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260638,c_148]) ).
tcf(c_265105,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK2),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),X0) ),
inference(superposition,[status(thm)],[c_260638,c_73]) ).
tcf(c_265106,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ( sdtpldt0(sdtpldt0(xl,sK2),X0) != sdtpldt0(xl,sK2) ) ),
inference(superposition,[status(thm)],[c_260638,c_79]) ).
tcf(c_265107,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK2),sdtpldt0(sdtpldt0(xl,sK2),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260638,c_71]) ).
tcf(c_265108,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK2),X0),sdtpldt0(xl,sK2))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260638,c_71]) ).
tcf(c_265110,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,sK2) ) ),
inference(superposition,[status(thm)],[c_260638,c_80]) ).
tcf(c_265111,plain,
sdtlseqdt0(sdtpldt0(xl,sK2),sdtpldt0(xl,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_265103,c_106,c_260585]) ).
tcf(c_265112,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265110,c_106,c_260585]) ).
tcf(c_265116,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sK2),X0) != sdtpldt0(xl,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265106,c_106,c_260585]) ).
tcf(c_265121,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK2),sdtpldt0(sdtpldt0(xl,sK2),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265107,c_106,c_260585]) ).
tcf(c_265126,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK2),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265105,c_106,c_260585]) ).
tcf(c_265131,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sK2))
| ( sdtpldt0(xl,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265095,c_106,c_260585]) ).
tcf(c_265178,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xl,sK2),sdtpldt0(xl,sK2))),xp) = sK3(sdtpldt0(xl,sK2),sdtpldt0(xl,sK2)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_265111,c_249177]) ).
tcf(c_265179,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK2))
| sdtlseqdt0(sdtpldt0(xl,sK2),xp)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_265111,c_249154]) ).
tcf(c_265181,plain,
( ( sdtpldt0(sdtpldt0(xl,sK2),sK3(sdtpldt0(xl,sK2),sdtpldt0(xl,sK2))) = sdtpldt0(xl,sK2) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_265111,c_76]) ).
tcf(c_265182,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK2))
| sdtlseqdt0(sdtpldt0(xl,sK2),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265179,c_260585]) ).
tcf(c_265185,plain,
sdtpldt0(sdtpldt0(xl,sK2),sK3(sdtpldt0(xl,sK2),sdtpldt0(xl,sK2))) = sdtpldt0(xl,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_265181,c_260585]) ).
tcf(c_265186,plain,
sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xl,sK2),sdtpldt0(xl,sK2))),xp) = sK3(sdtpldt0(xl,sK2),sdtpldt0(xl,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_265178,c_260585]) ).
tcf(c_265200,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_262706,c_112]) ).
tcf(c_265203,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xl))
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xm,xl),xp)),xp) = sK3(sdtpldt0(xm,xl),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_262706,c_249177]) ).
tcf(c_265205,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xl))
| ( sdtpldt0(xm,xl) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ~ sdtlseqdt0(xp,sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_262706,c_113]) ).
tcf(c_265206,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xl))
| ( sdtpldt0(sdtpldt0(xm,xl),sK3(sdtpldt0(xm,xl),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_262706,c_76]) ).
tcf(c_265207,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xl))
| ( sdtpldt0(sdtpldt0(xm,xl),sK3(sdtpldt0(xm,xl),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265206,c_59,c_258822]) ).
tcf(c_265210,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xl))
| ( sdtpldt0(xm,xl) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265205,c_59,c_258822]) ).
tcf(c_265214,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xm,xl))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265200,c_59,c_258822]) ).
tcf(c_265219,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xl))
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xm,xl),xp)),xp) = sK3(sdtpldt0(xm,xl),xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265203,c_59,c_258822]) ).
tcf(c_265235,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_262865,c_112]) ).
tcf(c_265238,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xl,xn),xp)),xp) = sK3(sdtpldt0(xl,xn),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_262865,c_249177]) ).
tcf(c_265240,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(xp,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_262865,c_113]) ).
tcf(c_265241,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),sK3(sdtpldt0(xl,xn),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_262865,c_76]) ).
tcf(c_265242,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),sK3(sdtpldt0(xl,xn),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265241,c_59,c_259154]) ).
tcf(c_265245,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265240,c_59,c_259154]) ).
tcf(c_265249,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265235,c_59,c_259154]) ).
tcf(c_265254,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xl,xn),xp)),xp) = sK3(sdtpldt0(xl,xn),xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265238,c_59,c_259154]) ).
tcf(c_265294,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sK2))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_265182,c_112]) ).
tcf(c_265297,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK2))
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xl,sK2),xp)),xp) = sK3(sdtpldt0(xl,sK2),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_265182,c_249177]) ).
tcf(c_265299,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK2))
| ( sdtpldt0(xl,sK2) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2))
| ~ sdtlseqdt0(xp,sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_265182,c_113]) ).
tcf(c_265300,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK2))
| ( sdtpldt0(sdtpldt0(xl,sK2),sK3(sdtpldt0(xl,sK2),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_265182,c_76]) ).
tcf(c_265301,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK2))
| ( sdtpldt0(sdtpldt0(xl,sK2),sK3(sdtpldt0(xl,sK2),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265300,c_59,c_260585]) ).
tcf(c_265304,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK2))
| ( sdtpldt0(xl,sK2) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xl,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265299,c_59,c_260585]) ).
tcf(c_265308,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sK2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265294,c_59,c_260585]) ).
tcf(c_265313,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK2))
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xl,sK2),xp)),xp) = sK3(sdtpldt0(xl,sK2),xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265297,c_59,c_260585]) ).
tcf(c_265316,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sK3(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_257905,c_100,c_257905]) ).
tcf(c_265328,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sK3(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265316,c_100]) ).
tcf(c_265356,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sK3(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_111,c_265328]) ).
tcf(c_265361,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK3(xq,xp))
| ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247994,c_265328]) ).
tcf(c_265362,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sK3(xq,xp))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247995,c_265328]) ).
tcf(c_265363,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sK3(xq,xp))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247996,c_265328]) ).
tcf(c_265364,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sK3(xq,xp))
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247997,c_265328]) ).
tcf(c_265365,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK3(xq,xp))
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247998,c_265328]) ).
tcf(c_265366,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2,X0),sK3(xq,xp))
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247999,c_265328]) ).
tcf(c_265374,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_248246,c_265328]) ).
tcf(c_265376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK3(xq,xp))
| ( xl = sz00 )
| ( sK4(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK4(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_248533,c_265328]) ).
tcf(c_265377,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK3(xq,xp))
| ( xl = sz00 )
| ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_250124,c_265328]) ).
tcf(c_265378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK3(xq,xp))
| ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_250119,c_265328]) ).
tcf(c_265379,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK3(xq,xp))
| ( xl = sz00 )
| ( sK4(xl,sz00) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK4(xl,sz00))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK4(xl,sz00)) ),
inference(superposition,[status(thm)],[c_248531,c_265328]) ).
tcf(c_265380,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sK3(xq,xp))
| ( xm = sz00 )
| ( sK4(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK4(xm,sz00))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK4(xm,sz00)) ),
inference(superposition,[status(thm)],[c_248530,c_265328]) ).
tcf(c_265381,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sK3(xq,xp))
| ( sz00 = xp )
| ( sK4(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK4(xp,sz00))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK4(xp,sz00)) ),
inference(superposition,[status(thm)],[c_248529,c_265328]) ).
tcf(c_265382,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sK3(xq,xp))
| ( xn = sz00 )
| ( sK4(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK4(xn,sz00))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK4(xn,sz00)) ),
inference(superposition,[status(thm)],[c_248527,c_265328]) ).
tcf(c_265383,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK3(xq,xp))
| ( sz00 = xq )
| ( sK4(xq,sz00) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK4(xq,sz00))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK4(xq,sz00)) ),
inference(superposition,[status(thm)],[c_248528,c_265328]) ).
tcf(c_265384,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2,X0),sK3(xq,xp))
| ( sz00 = sK2 )
| ( sK4(sK2,sz00) = X0 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK4(sK2,sz00))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK4(sK2,sz00)) ),
inference(superposition,[status(thm)],[c_248526,c_265328]) ).
tcf(c_265385,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sK3(xq,xp))
| ( sdtasdt0(xl,xq) = sz00 )
| ( sK4(sdtasdt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00))
| ~ sdtlseqdt0(X0,sK4(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_248688,c_265328]) ).
tcf(c_265386,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sK3(xq,xp))
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_250123,c_265328]) ).
tcf(c_265387,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sK3(xq,xp))
| ( sdtasdt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_250127,c_265328]) ).
tcf(c_265389,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xl),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258907,c_265328]) ).
tcf(c_265391,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259210,c_265328]) ).
tcf(c_265393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259517,c_265328]) ).
tcf(c_265395,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_260481,c_265328]) ).
tcf(c_265397,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK2),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260636,c_265328]) ).
tcf(c_265409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sK3(xq,xp))
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265386,c_248714,c_50,c_248101]) ).
tcf(c_265416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2,X0),sK3(xq,xp))
| ( sz00 = sK2 )
| ( sK4(sK2,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(sK2,sz00))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK4(sK2,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265384,c_65,c_248101]) ).
tcf(c_265424,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK3(xq,xp))
| ( sz00 = xq )
| ( sK4(xq,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xq,sz00))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK4(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265383,c_62,c_248101]) ).
tcf(c_265432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sK3(xq,xp))
| ( xn = sz00 )
| ( sK4(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xn,sz00))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK4(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265382,c_51,c_248101]) ).
tcf(c_265440,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sK3(xq,xp))
| ( sK4(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xp,sz00))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK4(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265381,c_38242,c_59,c_248101]) ).
tcf(c_265447,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sK3(xq,xp))
| ( sK4(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xm,sz00))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK4(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265380,c_248714,c_50,c_248101]) ).
tcf(c_265454,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK3(xq,xp))
| ( sK4(xl,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4(xl,sz00))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK4(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265379,c_58,c_49,c_248101]) ).
tcf(c_265461,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK3(xq,xp))
| ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265378,c_62,c_248101]) ).
tcf(c_265469,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK3(xq,xp))
| ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265377,c_58,c_49,c_248101]) ).
tcf(c_265477,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sK3(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265356,c_106]) ).
tcf(c_265488,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK3(xq,xp))
| ( sK4(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK4(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265376,c_58,c_49]) ).
tcf(c_265496,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sK3(xq,xp))
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265387,c_249981,c_248101,c_248038]) ).
tcf(c_265503,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sK3(xq,xp))
| ( sK4(sdtasdt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00))
| ~ sdtlseqdt0(X0,sK4(sdtasdt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265385,c_249981,c_248101,c_248038]) ).
tcf(c_265584,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X2,X1),sK3(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_257906,c_100,c_257906]) ).
tcf(c_265596,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X2,X1),sK3(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265584,c_100]) ).
tcf(c_265624,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sK3(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_111,c_265596]) ).
tcf(c_265628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(sz00,sz00)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sK4(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK4(sz00,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248525,c_265596]) ).
tcf(c_265635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sK3(xq,xp))
| ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248005,c_265596]) ).
tcf(c_265636,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sK3(xq,xp))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248006,c_265596]) ).
tcf(c_265637,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sK3(xq,xp))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248007,c_265596]) ).
tcf(c_265638,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sK3(xq,xp))
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248008,c_265596]) ).
tcf(c_265639,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sK3(xq,xp))
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248009,c_265596]) ).
tcf(c_265640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK2),sK3(xq,xp))
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248010,c_265596]) ).
tcf(c_265641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xq)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_248245,c_265596]) ).
tcf(c_265644,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xl,sdtasdt0(xl,xq))),sK3(xq,xp))
| ( X0 = xl )
| ( sK4(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_248533,c_265596]) ).
tcf(c_265645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xl)),sK3(xq,xp))
| ( X0 = xl )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_250124,c_265596]) ).
tcf(c_265646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xq)),sK3(xq,xp))
| ( sz00 = xq )
| ( X0 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_250119,c_265596]) ).
tcf(c_265647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xl,sz00)),sK3(xq,xp))
| ( X0 = xl )
| ( sK4(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK4(xl,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248531,c_265596]) ).
tcf(c_265648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xm,sz00)),sK3(xq,xp))
| ( X0 = xm )
| ( sK4(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK4(xm,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248530,c_265596]) ).
tcf(c_265649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xp,sz00)),sK3(xq,xp))
| ( X0 = xp )
| ( sK4(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK4(xp,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248529,c_265596]) ).
tcf(c_265650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xn,sz00)),sK3(xq,xp))
| ( X0 = xn )
| ( sK4(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK4(xn,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248527,c_265596]) ).
tcf(c_265651,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xq,sz00)),sK3(xq,xp))
| ( X0 = xq )
| ( sK4(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK4(xq,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248528,c_265596]) ).
tcf(c_265652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(sK2,sz00)),sK3(xq,xp))
| ( X0 = sK2 )
| ( sK4(sK2,sz00) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK4(sK2,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248526,c_265596]) ).
tcf(c_265653,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(sdtasdt0(xl,xq),sz00)),sK3(xq,xp))
| ( sdtasdt0(xl,xq) = X0 )
| ( sK4(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_248688,c_265596]) ).
tcf(c_265654,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xm)),sK3(xq,xp))
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_250123,c_265596]) ).
tcf(c_265655,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))),sK3(xq,xp))
| ( sdtasdt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_250127,c_265596]) ).
tcf(c_265656,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xl)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258906,c_265596]) ).
tcf(c_265658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xn)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259209,c_265596]) ).
tcf(c_265660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xp)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259516,c_265596]) ).
tcf(c_265662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xq)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_260480,c_265596]) ).
tcf(c_265664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sK2)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260635,c_265596]) ).
tcf(c_265677,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xm)),sK3(xq,xp))
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265654,c_50,c_248101]) ).
tcf(c_265685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(sK2,sz00)),sK3(xq,xp))
| ( X0 = sK2 )
| ( sK4(sK2,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK4(sK2,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265652,c_65,c_248101]) ).
tcf(c_265693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xq,sz00)),sK3(xq,xp))
| ( X0 = xq )
| ( sK4(xq,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK4(xq,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265651,c_62,c_248101]) ).
tcf(c_265701,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xn,sz00)),sK3(xq,xp))
| ( X0 = xn )
| ( sK4(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK4(xn,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265650,c_51,c_248101]) ).
tcf(c_265709,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xp,sz00)),sK3(xq,xp))
| ( X0 = xp )
| ( sK4(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK4(xp,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265649,c_59,c_248101]) ).
tcf(c_265717,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xm,sz00)),sK3(xq,xp))
| ( X0 = xm )
| ( sK4(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK4(xm,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265648,c_50,c_248101]) ).
tcf(c_265725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xl,sz00)),sK3(xq,xp))
| ( X0 = xl )
| ( sK4(xl,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK4(xl,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265647,c_49,c_248101]) ).
tcf(c_265733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xl)),sK3(xq,xp))
| ( X0 = xl )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265645,c_49,c_248101]) ).
tcf(c_265742,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(sz00,sz00)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sK4(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK4(sz00,sz00))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265628,c_106,c_248101]) ).
tcf(c_265750,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sK3(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265624,c_106]) ).
tcf(c_265761,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xq)),sK3(xq,xp))
| ( sz00 = xq )
| ( X0 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265646,c_62,c_248101]) ).
tcf(c_265770,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(xl,sdtasdt0(xl,xq))),sK3(xq,xp))
| ( X0 = xl )
| ( sK4(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK4(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265644,c_49]) ).
tcf(c_265779,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))),sK3(xq,xp))
| ( sdtasdt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265655,c_248101,c_248038]) ).
tcf(c_265787,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4(sdtasdt0(xl,xq),sz00)),sK3(xq,xp))
| ( sdtasdt0(xl,xq) = X0 )
| ( sK4(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK4(sdtasdt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265653,c_248101,c_248038]) ).
tcf(c_265914,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))),sz00)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_262350,c_255952,c_255962,c_262350]) ).
tcf(c_265915,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))),sz00) ),
inference(renaming,[status(thm)],[c_265914]) ).
tcf(c_265921,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265915,c_87]) ).
tcf(c_265934,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))) ),
inference(superposition,[status(thm)],[c_111,c_265921]) ).
tcf(c_265937,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_261335,c_265921]) ).
tcf(c_265943,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265934,c_106]) ).
tcf(c_265959,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_111,c_265937]) ).
tcf(c_265963,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265959,c_106]) ).
tcf(c_265974,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ aNaturalNumber0(X0)
| ( sK3(sz00,sK3(xq,xp)) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_264153,c_145789,c_252427]) ).
tcf(c_265975,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(renaming,[status(thm)],[c_265974]) ).
tcf(c_265989,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sz00,sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_75,c_265975]) ).
tcf(c_265990,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_261335,c_265975]) ).
tcf(c_265997,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sz00,sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265989,c_106]) ).
tcf(c_266020,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sK3(xq,xp),X0) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK3(xq,xp),X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK3(xq,xp),X0)),sz00) ),
inference(superposition,[status(thm)],[c_148,c_265990]) ).
tcf(c_266021,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ( sdtasdt0(sK3(xq,xp),X0) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK3(xq,xp),X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(sK3(xq,xp),X0)),sz00) ),
inference(superposition,[status(thm)],[c_88,c_265990]) ).
tcf(c_266023,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_111,c_265990]) ).
tcf(c_266024,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xq),sz00) ),
inference(superposition,[status(thm)],[c_256946,c_265990]) ).
tcf(c_266025,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_250649,c_265990]) ).
tcf(c_266026,plain,
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ( sdtpldt0(xq,sK3(xq,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_249145,c_265990]) ).
tcf(c_266027,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_249119,c_265990]) ).
tcf(c_266028,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xl),sz00) ),
inference(superposition,[status(thm)],[c_257381,c_265990]) ).
tcf(c_266029,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00) ),
inference(superposition,[status(thm)],[c_258432,c_265990]) ).
tcf(c_266030,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00) ),
inference(superposition,[status(thm)],[c_257290,c_265990]) ).
tcf(c_266031,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00) ),
inference(superposition,[status(thm)],[c_256315,c_265990]) ).
tcf(c_266032,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xn),sz00) ),
inference(superposition,[status(thm)],[c_257199,c_265990]) ).
tcf(c_266033,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2),sz00) ),
inference(superposition,[status(thm)],[c_256429,c_265990]) ).
tcf(c_266034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_253115,c_265990]) ).
tcf(c_266040,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,X0)),sz00) ),
inference(superposition,[status(thm)],[c_261342,c_265990]) ).
tcf(c_266041,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(sz00,sK3(xq,xp))) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))),sz00) ),
inference(superposition,[status(thm)],[c_262330,c_265990]) ).
tcf(c_266042,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(xq,xp)) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK3(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_262518,c_265990]) ).
tcf(c_266043,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_266033,c_247988]) ).
tcf(c_266044,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = sK2 )
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266043,c_65]) ).
tcf(c_266050,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_266032,c_247985]) ).
tcf(c_266051,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266050,c_51]) ).
tcf(c_266057,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_266031,c_247984]) ).
tcf(c_266058,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_266030,c_247984]) ).
tcf(c_266059,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_266029,c_247984]) ).
tcf(c_266060,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xl,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_266028,c_247983]) ).
tcf(c_266061,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_266027,c_247986]) ).
tcf(c_266062,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_266025,c_247986]) ).
tcf(c_266063,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_266024,c_247987]) ).
tcf(c_266064,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xq )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266063,c_62]) ).
tcf(c_266083,plain,
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ( sdtpldt0(xq,sK3(xq,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_266026,c_247986]) ).
tcf(c_266146,plain,
( aNaturalNumber0(sK3(sz00,sz00))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,sz00)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,sz00))) ),
inference(superposition,[status(thm)],[c_250831,c_108]) ).
tcf(c_266147,plain,
( aNaturalNumber0(sK3(sz00,sz00))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,sz00)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266146,c_38242,c_59]) ).
tcf(c_266179,plain,
sdtpldt0(xm,xn) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_51,c_248164]) ).
tcf(c_266180,plain,
sdtpldt0(xm,xp) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_59,c_248164]) ).
tcf(c_266181,plain,
sdtpldt0(xm,xq) = sdtpldt0(xq,xm),
inference(superposition,[status(thm)],[c_62,c_248164]) ).
tcf(c_266182,plain,
sdtpldt0(xm,sK2) = sdtpldt0(sK2,xm),
inference(superposition,[status(thm)],[c_65,c_248164]) ).
tcf(c_266183,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87,c_248164]) ).
tcf(c_266184,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),xm) = sdtpldt0(xm,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_248164]) ).
tcf(c_266185,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_248164]) ).
tcf(c_266186,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK4(X0,X1),xm) = sdtpldt0(xm,sK4(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_248164]) ).
tcf(c_266187,plain,
sdtpldt0(xm,sz00) = sdtpldt0(sz00,xm),
inference(superposition,[status(thm)],[c_106,c_248164]) ).
tcf(c_266188,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_108,c_248164]) ).
tcf(c_266189,plain,
sdtpldt0(sdtasdt0(xl,xq),xm) = sdtpldt0(xm,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_248038,c_248164]) ).
tcf(c_266190,plain,
sdtpldt0(sdtpldt0(xm,xl),xm) = sdtpldt0(xm,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_258822,c_248164]) ).
tcf(c_266191,plain,
sdtpldt0(sdtpldt0(xl,xn),xm) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_259154,c_248164]) ).
tcf(c_266192,plain,
sdtpldt0(sdtpldt0(xl,xp),xm) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_259440,c_248164]) ).
tcf(c_266193,plain,
sdtpldt0(sdtpldt0(xl,xq),xm) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_260391,c_248164]) ).
tcf(c_266194,plain,
sdtpldt0(sdtpldt0(xl,sK2),xm) = sdtpldt0(xm,sdtpldt0(xl,sK2)),
inference(superposition,[status(thm)],[c_260585,c_248164]) ).
tcf(c_266196,plain,
sdtasdt0(xl,xq) = sdtpldt0(sK2,xm),
inference(light_normalisation,[status(thm)],[c_266182,c_543]) ).
tcf(c_266197,plain,
sdtasdt0(xl,xq) = sdtpldt0(xn,xm),
inference(light_normalisation,[status(thm)],[c_266179,c_63]) ).
tcf(c_266217,plain,
( ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xp) != xq ) ),
inference(superposition,[status(thm)],[c_266180,c_68]) ).
tcf(c_266218,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_266180,c_73]) ).
tcf(c_266219,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK3(xq,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_266180,c_264696]) ).
tcf(c_266220,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sK3(xq,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_266180,c_264358]) ).
tcf(c_266221,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_266180,c_262239]) ).
tcf(c_266225,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_266180,c_77]) ).
tcf(c_266226,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_266180,c_148]) ).
tcf(c_266227,plain,
( aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_266180,c_87]) ).
tcf(c_266228,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_266180,c_73]) ).
tcf(c_266229,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_266180,c_79]) ).
tcf(c_266230,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_266180,c_71]) ).
tcf(c_266231,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_266180,c_71]) ).
tcf(c_266232,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_266180,c_101]) ).
tcf(c_266233,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_266180,c_80]) ).
tcf(c_266234,plain,
aNaturalNumber0(sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_266227,c_59,c_50]) ).
tcf(c_266235,plain,
sdtpldt0(xm,xp) != xq,
inference(forward_subsumption_resolution,[status(thm)],[c_266217,c_50]) ).
tcf(c_266236,plain,
sdtlseqdt0(xp,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_266226,c_59,c_50]) ).
tcf(c_266237,plain,
sdtpldt0(xm,xp) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_266225,c_38242,c_59,c_50]) ).
tcf(c_266238,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266233,c_59,c_50]) ).
tcf(c_266242,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266232,c_59,c_50]) ).
tcf(c_266247,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266229,c_59,c_50]) ).
tcf(c_266251,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266221,c_59,c_50]) ).
tcf(c_266255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xm,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266231,c_59,c_50]) ).
tcf(c_266260,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xp,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266230,c_59,c_50]) ).
tcf(c_266265,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,xm))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266228,c_59,c_50]) ).
tcf(c_266270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266218,c_59,c_50]) ).
tcf(c_266275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sK3(xq,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266220,c_59,c_50]) ).
tcf(c_266282,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK3(xq,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266219,c_59,c_50]) ).
tcf(c_266370,plain,
sdtpldt0(sdtpldt0(xm,xp),xm) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_266234,c_248164]) ).
tcf(c_266371,plain,
sdtpldt0(sdtpldt0(xm,xp),xl) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_266234,c_248163]) ).
tcf(c_266372,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtpldt0(xm,xp),X0)),xp) = sdtasdt0(sdtpldt0(xm,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266234,c_249178]) ).
tcf(c_266373,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtpldt0(xm,xp),X0)),xp) = sdtpldt0(sdtpldt0(xm,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266234,c_249176]) ).
tcf(c_266374,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,xp)),sdtasdt0(X0,sdtpldt0(xm,xp))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266234,c_82]) ).
tcf(c_266375,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xp),X1),sdtasdt0(sdtpldt0(xm,xp),X0)) = sdtasdt0(sdtpldt0(xm,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266234,c_81]) ).
tcf(c_266376,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xp),X1),X0) = sdtasdt0(sdtpldt0(xm,xp),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266234,c_98]) ).
tcf(c_266377,plain,
sdtsldt0(sdtasdt0(xp,sdtpldt0(xm,xp)),xp) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_266234,c_248772]) ).
tcf(c_266378,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xp),X1),X0) = sdtpldt0(sdtpldt0(xm,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266234,c_85]) ).
tcf(c_266379,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xp),X0),sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266234,c_155]) ).
tcf(c_266380,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xp),X0) = sdtasdt0(X0,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266234,c_99]) ).
tcf(c_266381,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xp),X0) = sdtpldt0(X0,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266234,c_86]) ).
tcf(c_266382,plain,
sdtasdt0(sz00,sdtpldt0(xm,xp)) = sz00,
inference(superposition,[status(thm)],[c_266234,c_97]) ).
tcf(c_266383,plain,
sdtasdt0(sdtpldt0(xm,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_266234,c_96]) ).
tcf(c_266384,plain,
sdtpldt0(sz00,sdtpldt0(xm,xp)) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_266234,c_84]) ).
tcf(c_266385,plain,
sdtpldt0(sdtpldt0(xm,xp),sz00) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_266234,c_83]) ).
tcf(c_266489,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266236,c_112]) ).
tcf(c_266490,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266236,c_259674]) ).
tcf(c_266491,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_266236,c_256023]) ).
tcf(c_266492,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xp,sdtpldt0(xm,xp))),xp) = sK3(xp,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266236,c_249177]) ).
tcf(c_266494,plain,
( ( sdtpldt0(xm,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),xp) ),
inference(superposition,[status(thm)],[c_266236,c_113]) ).
tcf(c_266495,plain,
( ( sdtpldt0(xp,sK3(xp,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266236,c_76]) ).
tcf(c_266496,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266236,c_249932]) ).
tcf(c_266497,plain,
sdtlseqdt0(xq,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_266496,c_266234]) ).
tcf(c_266498,plain,
sdtpldt0(xp,sK3(xp,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_266495,c_59,c_266234]) ).
tcf(c_266499,plain,
( ( sdtpldt0(xm,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xm,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266494,c_59,c_266234]) ).
tcf(c_266502,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266489,c_59,c_266234]) ).
tcf(c_266506,plain,
sdtsldt0(sdtasdt0(xp,sK3(xp,sdtpldt0(xm,xp))),xp) = sK3(xp,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_266492,c_59,c_266234]) ).
tcf(c_266508,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266490,c_59,c_266234]) ).
tcf(c_266513,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266497,c_112]) ).
tcf(c_266514,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266497,c_259674]) ).
tcf(c_266515,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_266497,c_256023]) ).
tcf(c_266516,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xm,xp))),xp) = sK3(xq,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266497,c_249177]) ).
tcf(c_266518,plain,
( ( sdtpldt0(xm,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),xq) ),
inference(superposition,[status(thm)],[c_266497,c_113]) ).
tcf(c_266519,plain,
( ( sdtpldt0(xq,sK3(xq,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266497,c_76]) ).
tcf(c_266520,plain,
sdtpldt0(xq,sK3(xq,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_266519,c_62,c_266234]) ).
tcf(c_266521,plain,
( ( sdtpldt0(xm,xp) = xq )
| ~ sdtlseqdt0(sdtpldt0(xm,xp),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266518,c_62,c_266234]) ).
tcf(c_266524,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266513,c_62,c_266234]) ).
tcf(c_266528,plain,
sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xm,xp))),xp) = sK3(xq,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_266516,c_62,c_266234]) ).
tcf(c_266529,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266515,c_62,c_266234]) ).
tcf(c_266533,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266514,c_62,c_266234]) ).
tcf(c_266538,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_266181,c_73]) ).
tcf(c_266539,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK3(xq,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_266181,c_264696]) ).
tcf(c_266540,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK3(xq,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_266181,c_264358]) ).
tcf(c_266541,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_266181,c_262239]) ).
tcf(c_266544,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_266181,c_78]) ).
tcf(c_266545,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_266181,c_77]) ).
tcf(c_266546,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_266181,c_148]) ).
tcf(c_266547,plain,
( aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_266181,c_87]) ).
tcf(c_266548,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_266181,c_73]) ).
tcf(c_266549,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_266181,c_79]) ).
tcf(c_266550,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_266181,c_71]) ).
tcf(c_266551,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_266181,c_71]) ).
tcf(c_266552,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_266181,c_101]) ).
tcf(c_266553,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_266181,c_80]) ).
tcf(c_266556,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xq))
| sdtlseqdt0(xm,sK3(xq,xp))
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_266181,c_253184]) ).
tcf(c_266557,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_266181,c_253115]) ).
tcf(c_266558,plain,
( ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(xm,xq) != xp ) ),
inference(superposition,[status(thm)],[c_266181,c_249523]) ).
tcf(c_266559,plain,
aNaturalNumber0(sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_266547,c_62,c_50]) ).
tcf(c_266560,plain,
sdtlseqdt0(xq,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_266546,c_62,c_50]) ).
tcf(c_266564,plain,
sdtpldt0(xm,xq) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_266544,c_248714,c_62,c_50]) ).
tcf(c_266565,plain,
( ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(xm,xq) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266558,c_50]) ).
tcf(c_266569,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266553,c_62,c_50]) ).
tcf(c_266573,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266552,c_62,c_50]) ).
tcf(c_266578,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266549,c_62,c_50]) ).
tcf(c_266582,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266541,c_62,c_50]) ).
tcf(c_266586,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266557,c_50]) ).
tcf(c_266591,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xq))
| sdtlseqdt0(xm,sK3(xq,xp))
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266556,c_50]) ).
tcf(c_266596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xm,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266551,c_62,c_50]) ).
tcf(c_266601,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xq,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266550,c_62,c_50]) ).
tcf(c_266606,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,xm))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266548,c_62,c_50]) ).
tcf(c_266611,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266538,c_62,c_50]) ).
tcf(c_266616,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK3(xq,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266540,c_62,c_50]) ).
tcf(c_266623,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK3(xq,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266539,c_62,c_50]) ).
tcf(c_266662,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257964,c_112]) ).
tcf(c_266663,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257964,c_259674]) ).
tcf(c_266664,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_257964,c_256023]) ).
tcf(c_266665,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sK2,sK3(xq,xp))),xp) = sK3(sK2,sK3(xq,xp)) )
| ~ aNaturalNumber0(sK2)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257964,c_249177]) ).
tcf(c_266666,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257964,c_249154]) ).
tcf(c_266667,plain,
( ( sK3(xq,xp) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sK2) ),
inference(superposition,[status(thm)],[c_257964,c_113]) ).
tcf(c_266668,plain,
( ( sdtpldt0(sK2,sK3(sK2,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK2)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257964,c_76]) ).
tcf(c_266669,plain,
( sdtlseqdt0(sdtpldt0(xq,sK2),xp)
| ( sK3(xq,xp) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257964,c_251249]) ).
tcf(c_266670,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266666,c_65]) ).
tcf(c_266675,plain,
( sdtlseqdt0(sdtpldt0(xq,sK2),xp)
| ( sK3(xq,xp) = sK2 )
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266669,c_65]) ).
tcf(c_266681,plain,
( ( sdtpldt0(sK2,sK3(sK2,sK3(xq,xp))) = sK3(xq,xp) )
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266668,c_65]) ).
tcf(c_266685,plain,
( ( sK3(xq,xp) = sK2 )
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266667,c_65]) ).
tcf(c_266690,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,sz00)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266662,c_65]) ).
tcf(c_266696,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sK2,sK3(xq,xp))),xp) = sK3(sK2,sK3(xq,xp)) )
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266665,c_65]) ).
tcf(c_266700,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266663,c_65]) ).
tcf(c_266712,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257968,c_112]) ).
tcf(c_266713,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257968,c_259674]) ).
tcf(c_266714,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_257968,c_256023]) ).
tcf(c_266715,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xq,sK3(xq,xp))),xp) = sK3(xq,sK3(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257968,c_249177]) ).
tcf(c_266717,plain,
( ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),xq) ),
inference(superposition,[status(thm)],[c_257968,c_113]) ).
tcf(c_266718,plain,
( ( sdtpldt0(xq,sK3(xq,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257968,c_76]) ).
tcf(c_266719,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257968,c_251249]) ).
tcf(c_266720,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK3(xq,xp) = xq )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266719,c_62]) ).
tcf(c_266726,plain,
( ( sdtpldt0(xq,sK3(xq,sK3(xq,xp))) = sK3(xq,xp) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266718,c_62]) ).
tcf(c_266730,plain,
( ( sK3(xq,xp) = xq )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266717,c_62]) ).
tcf(c_266735,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266712,c_62]) ).
tcf(c_266741,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xq,sK3(xq,xp))),xp) = sK3(xq,sK3(xq,xp)) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266715,c_62]) ).
tcf(c_266745,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266713,c_62]) ).
tcf(c_266816,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257972,c_112]) ).
tcf(c_266817,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257972,c_259674]) ).
tcf(c_266818,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_257972,c_256023]) ).
tcf(c_266819,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xn,sK3(xq,xp))),xp) = sK3(xn,sK3(xq,xp)) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257972,c_249177]) ).
tcf(c_266820,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257972,c_249154]) ).
tcf(c_266821,plain,
( ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),xn) ),
inference(superposition,[status(thm)],[c_257972,c_113]) ).
tcf(c_266822,plain,
( ( sdtpldt0(xn,sK3(xn,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257972,c_76]) ).
tcf(c_266823,plain,
( sdtlseqdt0(sdtpldt0(xq,xn),xp)
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257972,c_251249]) ).
tcf(c_266825,plain,
( sdtlseqdt0(sdtpldt0(xq,xn),xp)
| ( sK3(xq,xp) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266823,c_51]) ).
tcf(c_266831,plain,
( ( sdtpldt0(xn,sK3(xn,sK3(xq,xp))) = sK3(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266822,c_51]) ).
tcf(c_266835,plain,
( ( sK3(xq,xp) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266821,c_51]) ).
tcf(c_266840,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266816,c_51]) ).
tcf(c_266846,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xn,sK3(xq,xp))),xp) = sK3(xn,sK3(xq,xp)) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266819,c_51]) ).
tcf(c_266850,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266817,c_51]) ).
tcf(c_266862,plain,
( aNaturalNumber0(sK3(xl,xm))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xl,xm)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xl,xm))) ),
inference(superposition,[status(thm)],[c_250834,c_108]) ).
tcf(c_266863,plain,
( aNaturalNumber0(sK3(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xl,xm)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266862,c_38242,c_59]) ).
tcf(c_266867,plain,
sdtpldt0(sdtpldt0(xm,xq),xm) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_266559,c_248164]) ).
tcf(c_266868,plain,
sdtpldt0(sdtpldt0(xm,xq),xl) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_266559,c_248163]) ).
tcf(c_266869,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtpldt0(xm,xq),X0)),xp) = sdtasdt0(sdtpldt0(xm,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266559,c_249178]) ).
tcf(c_266870,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtpldt0(xm,xq),X0)),xp) = sdtpldt0(sdtpldt0(xm,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266559,c_249176]) ).
tcf(c_266871,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,xq)),sdtasdt0(X0,sdtpldt0(xm,xq))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266559,c_82]) ).
tcf(c_266872,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xq),X1),sdtasdt0(sdtpldt0(xm,xq),X0)) = sdtasdt0(sdtpldt0(xm,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266559,c_81]) ).
tcf(c_266873,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xq),X1),X0) = sdtasdt0(sdtpldt0(xm,xq),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266559,c_98]) ).
tcf(c_266874,plain,
sdtsldt0(sdtasdt0(xp,sdtpldt0(xm,xq)),xp) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_266559,c_248772]) ).
tcf(c_266875,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xq),X1),X0) = sdtpldt0(sdtpldt0(xm,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266559,c_85]) ).
tcf(c_266876,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xq),X0),sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266559,c_155]) ).
tcf(c_266877,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xq),X0) = sdtasdt0(X0,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266559,c_99]) ).
tcf(c_266878,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xq),X0) = sdtpldt0(X0,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_266559,c_86]) ).
tcf(c_266879,plain,
sdtasdt0(sz00,sdtpldt0(xm,xq)) = sz00,
inference(superposition,[status(thm)],[c_266559,c_97]) ).
tcf(c_266880,plain,
sdtasdt0(sdtpldt0(xm,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_266559,c_96]) ).
tcf(c_266881,plain,
sdtpldt0(sz00,sdtpldt0(xm,xq)) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_266559,c_84]) ).
tcf(c_266882,plain,
sdtpldt0(sdtpldt0(xm,xq),sz00) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_266559,c_83]) ).
tcf(c_266963,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_266560,c_112]) ).
tcf(c_266964,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,xq))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_266560,c_259674]) ).
tcf(c_266965,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_266560,c_256023]) ).
tcf(c_266966,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xm,xq))),xp) = sK3(xq,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_266560,c_249177]) ).
tcf(c_266968,plain,
( ( sdtpldt0(xm,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),xq) ),
inference(superposition,[status(thm)],[c_266560,c_113]) ).
tcf(c_266969,plain,
( ( sdtpldt0(xq,sK3(xq,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_266560,c_76]) ).
tcf(c_266970,plain,
sdtpldt0(xq,sK3(xq,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_266969,c_62,c_266559]) ).
tcf(c_266971,plain,
( ( sdtpldt0(xm,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xm,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266968,c_62,c_266559]) ).
tcf(c_266974,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266963,c_62,c_266559]) ).
tcf(c_266978,plain,
sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xm,xq))),xp) = sK3(xq,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_266966,c_62,c_266559]) ).
tcf(c_266980,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,xq))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266964,c_62,c_266559]) ).
tcf(c_266985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtasdt0(xl,xq))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(superposition,[status(thm)],[c_266196,c_73]) ).
tcf(c_266986,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_266196,c_264696]) ).
tcf(c_266987,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK3(xq,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_266196,c_264358]) ).
tcf(c_266988,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_266196,c_262239]) ).
tcf(c_266993,plain,
( sdtlseqdt0(sK2,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_266196,c_148]) ).
tcf(c_266995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xm))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(superposition,[status(thm)],[c_266196,c_73]) ).
tcf(c_266996,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK2,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_266196,c_79]) ).
tcf(c_266997,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sK2,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_266196,c_71]) ).
tcf(c_266998,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_266196,c_71]) ).
tcf(c_267000,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_266196,c_80]) ).
tcf(c_267001,plain,
sdtlseqdt0(sK2,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_266993,c_65,c_50]) ).
tcf(c_267002,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267000,c_65,c_50]) ).
tcf(c_267006,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK2,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266996,c_65,c_50]) ).
tcf(c_267010,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266988,c_65,c_50]) ).
tcf(c_267014,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266998,c_65,c_50]) ).
tcf(c_267019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sK2,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266997,c_65,c_50]) ).
tcf(c_267024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xm))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266995,c_65,c_50]) ).
tcf(c_267029,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtasdt0(xl,xq))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266985,c_65,c_50]) ).
tcf(c_267034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK3(xq,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266987,c_65,c_50]) ).
tcf(c_267041,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_266986,c_65,c_50]) ).
tcf(c_267062,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_267001,c_112]) ).
tcf(c_267064,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_267001,c_256023]) ).
tcf(c_267065,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sK2,sdtasdt0(xl,xq))),xp) = sK3(sK2,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_267001,c_249177]) ).
tcf(c_267067,plain,
( ( sdtasdt0(xl,xq) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sK2) ),
inference(superposition,[status(thm)],[c_267001,c_113]) ).
tcf(c_267068,plain,
( ( sdtpldt0(sK2,sK3(sK2,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_267001,c_76]) ).
tcf(c_267069,plain,
sdtpldt0(sK2,sK3(sK2,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_267068,c_65,c_248038]) ).
tcf(c_267070,plain,
( ( sdtasdt0(xl,xq) = sK2 )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267067,c_65,c_248038]) ).
tcf(c_267073,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267062,c_65,c_248038]) ).
tcf(c_267077,plain,
sdtsldt0(sdtasdt0(xp,sK3(sK2,sdtasdt0(xl,xq))),xp) = sK3(sK2,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_267065,c_65,c_248038]) ).
tcf(c_267079,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtasdt0(xl,xq))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_266197,c_73]) ).
tcf(c_267080,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK3(xq,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_266197,c_264696]) ).
tcf(c_267081,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sK3(xq,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_266197,c_264358]) ).
tcf(c_267082,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_266197,c_262239]) ).
tcf(c_267087,plain,
( sdtlseqdt0(xn,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_266197,c_148]) ).
tcf(c_267089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xm))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_266197,c_73]) ).
tcf(c_267090,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_266197,c_79]) ).
tcf(c_267091,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xn,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_266197,c_71]) ).
tcf(c_267092,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_266197,c_71]) ).
tcf(c_267094,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_266197,c_80]) ).
tcf(c_267095,plain,
sdtlseqdt0(xn,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_267087,c_51,c_50]) ).
tcf(c_267096,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267094,c_51,c_50]) ).
tcf(c_267100,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267090,c_51,c_50]) ).
tcf(c_267104,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267082,c_51,c_50]) ).
tcf(c_267108,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267092,c_51,c_50]) ).
tcf(c_267113,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xn,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267091,c_51,c_50]) ).
tcf(c_267118,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xm))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267089,c_51,c_50]) ).
tcf(c_267123,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtasdt0(xl,xq))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267079,c_51,c_50]) ).
tcf(c_267128,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sK3(xq,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267081,c_51,c_50]) ).
tcf(c_267135,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK3(xq,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267080,c_51,c_50]) ).
tcf(c_267230,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_267095,c_112]) ).
tcf(c_267232,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_267095,c_256023]) ).
tcf(c_267233,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xn,sdtasdt0(xl,xq))),xp) = sK3(xn,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_267095,c_249177]) ).
tcf(c_267235,plain,
( ( sdtasdt0(xl,xq) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xn) ),
inference(superposition,[status(thm)],[c_267095,c_113]) ).
tcf(c_267236,plain,
( ( sdtpldt0(xn,sK3(xn,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_267095,c_76]) ).
tcf(c_267237,plain,
sdtpldt0(xn,sK3(xn,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_267236,c_51,c_248038]) ).
tcf(c_267238,plain,
( ( sdtasdt0(xl,xq) = xn )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267235,c_51,c_248038]) ).
tcf(c_267241,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267230,c_51,c_248038]) ).
tcf(c_267245,plain,
sdtsldt0(sdtasdt0(xp,sK3(xn,sdtasdt0(xl,xq))),xp) = sK3(xn,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_267233,c_51,c_248038]) ).
tcf(c_267247,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_266382,c_92]) ).
tcf(c_267249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xp)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266382,c_265596]) ).
tcf(c_267251,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266382,c_262982]) ).
tcf(c_267260,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_266382,c_95]) ).
tcf(c_267261,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_266382,c_92]) ).
tcf(c_267263,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267260,c_266237,c_106,c_266234]) ).
tcf(c_267268,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267247,c_266237,c_106,c_266234]) ).
tcf(c_267274,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_261392,c_198329]) ).
tcf(c_267280,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_267274,c_112]) ).
tcf(c_267283,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),xp)),xp) = sK3(sK3(xq,xp),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_267274,c_249177]) ).
tcf(c_267285,plain,
( ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(xp,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_267274,c_113]) ).
tcf(c_267286,plain,
( ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_267274,c_76]) ).
tcf(c_267287,plain,
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_267274,c_265990]) ).
tcf(c_267290,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xp))
| ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_267274,c_251344]) ).
tcf(c_267291,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xp))
| ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267290,c_59]) ).
tcf(c_267295,plain,
( ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),xp)) = xp )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267286,c_59]) ).
tcf(c_267298,plain,
( ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(xp,sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267285,c_59]) ).
tcf(c_267302,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267280,c_59]) ).
tcf(c_267307,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),xp)),xp) = sK3(sK3(xq,xp),xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267283,c_59]) ).
tcf(c_267310,plain,
( ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK3(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_267287,c_247986]) ).
tcf(c_267360,plain,
~ sdtlseqdt0(sdtasdt0(xl,xq),sz00),
inference(global_subsumption_just,[status(thm)],[c_258066,c_106,c_62,c_59,c_69,c_115,c_117,c_128,c_2924,c_2937,c_3008,c_3120,c_3258,c_3901,c_4867,c_7137]) ).
tcf(c_267364,plain,
( aNaturalNumber0(sK3(sz00,sK2))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,sK2)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,sK2))) ),
inference(superposition,[status(thm)],[c_250835,c_108]) ).
tcf(c_267365,plain,
( aNaturalNumber0(sK3(sz00,sK2))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,sK2)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267364,c_38242,c_59]) ).
tcf(c_267372,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xp),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266383,c_265328]) ).
tcf(c_267375,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_266383,c_94]) ).
tcf(c_267377,plain,
( doDivides0(sdtpldt0(xm,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266383,c_145]) ).
tcf(c_267379,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_266383,c_90]) ).
tcf(c_267381,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_266383,c_90]) ).
tcf(c_267384,plain,
doDivides0(sdtpldt0(xm,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_267377,c_106,c_266234]) ).
tcf(c_267385,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267375,c_266237,c_106,c_266234]) ).
tcf(c_267390,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267379,c_266237,c_106,c_266234]) ).
tcf(c_267396,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_267384,c_109]) ).
tcf(c_267397,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_267384,c_102]) ).
tcf(c_267398,plain,
( ( sdtasdt0(sdtpldt0(xm,xp),sK4(sdtpldt0(xm,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_267384,c_105]) ).
tcf(c_267399,plain,
sdtasdt0(sdtpldt0(xm,xp),sK4(sdtpldt0(xm,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_267398,c_106,c_266234]) ).
tcf(c_267400,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267397,c_106,c_266234]) ).
tcf(c_267404,plain,
sdtasdt0(sdtpldt0(xm,xp),sdtsldt0(sz00,sdtpldt0(xm,xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_267396,c_266237,c_106,c_266234]) ).
tcf(c_267405,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_266879,c_92]) ).
tcf(c_267407,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xq)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_266879,c_265596]) ).
tcf(c_267409,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_266879,c_262982]) ).
tcf(c_267418,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_266879,c_95]) ).
tcf(c_267419,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_266879,c_92]) ).
tcf(c_267421,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267418,c_266564,c_106,c_266559]) ).
tcf(c_267426,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267405,c_266564,c_106,c_266559]) ).
tcf(c_267435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xq),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_266880,c_265328]) ).
tcf(c_267438,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_266880,c_94]) ).
tcf(c_267440,plain,
( doDivides0(sdtpldt0(xm,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_266880,c_145]) ).
tcf(c_267442,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_266880,c_90]) ).
tcf(c_267444,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_266880,c_90]) ).
tcf(c_267447,plain,
doDivides0(sdtpldt0(xm,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_267440,c_106,c_266559]) ).
tcf(c_267448,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267438,c_266564,c_106,c_266559]) ).
tcf(c_267453,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267442,c_266564,c_106,c_266559]) ).
tcf(c_267459,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_267447,c_109]) ).
tcf(c_267460,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,xq),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_267447,c_102]) ).
tcf(c_267461,plain,
( ( sdtasdt0(sdtpldt0(xm,xq),sK4(sdtpldt0(xm,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_267447,c_105]) ).
tcf(c_267462,plain,
sdtasdt0(sdtpldt0(xm,xq),sK4(sdtpldt0(xm,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_267461,c_106,c_266559]) ).
tcf(c_267463,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,xq),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267460,c_106,c_266559]) ).
tcf(c_267467,plain,
sdtasdt0(sdtpldt0(xm,xq),sdtsldt0(sz00,sdtpldt0(xm,xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_267459,c_266564,c_106,c_266559]) ).
tcf(c_267468,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_266384,c_73]) ).
tcf(c_267469,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xp)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_266384,c_264696]) ).
tcf(c_267470,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266384,c_264358]) ).
tcf(c_267471,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_266384,c_262239]) ).
tcf(c_267476,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266384,c_148]) ).
tcf(c_267478,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_266384,c_73]) ).
tcf(c_267479,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_266384,c_79]) ).
tcf(c_267480,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_266384,c_71]) ).
tcf(c_267481,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_266384,c_71]) ).
tcf(c_267483,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_266384,c_80]) ).
tcf(c_267486,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xm,xp) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_266384,c_255973]) ).
tcf(c_267487,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_267476,c_106,c_266234]) ).
tcf(c_267489,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,xp)) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267483,c_106,c_266234]) ).
tcf(c_267493,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267479,c_106,c_266234]) ).
tcf(c_267497,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_267478,c_106,c_266234]) ).
tcf(c_267503,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_267481,c_106,c_266234]) ).
tcf(c_267508,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_267480,c_106,c_266234]) ).
tcf(c_267513,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xm,xp) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267486,c_266234]) ).
tcf(c_267518,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267470,c_106,c_266234]) ).
tcf(c_267525,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_267487,c_112]) ).
tcf(c_267528,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xm,xp))),xp) = sK3(sz00,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_267487,c_249177]) ).
tcf(c_267530,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_267487,c_113]) ).
tcf(c_267531,plain,
( ( sdtpldt0(sz00,sK3(sz00,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_267487,c_76]) ).
tcf(c_267532,plain,
sdtpldt0(sz00,sK3(sz00,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_267531,c_106,c_266234]) ).
tcf(c_267533,plain,
~ sdtlseqdt0(sdtpldt0(xm,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_267530,c_266237,c_106,c_266234]) ).
tcf(c_267534,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267525,c_106,c_266234]) ).
tcf(c_267538,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xm,xp))),xp) = sK3(sz00,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_267528,c_106,c_266234]) ).
tcf(c_267547,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_262539,c_198329,c_255952]) ).
tcf(c_267553,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sz00,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_75,c_267547]) ).
tcf(c_267554,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_261335,c_267547]) ).
tcf(c_267569,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257994,c_112]) ).
tcf(c_267570,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257994,c_259674]) ).
tcf(c_267571,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_257994,c_256023]) ).
tcf(c_267572,plain,
( sdtlseqdt0(xn,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,sK3(xq,xp))),xp) = sK3(xq,sK3(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257994,c_249177]) ).
tcf(c_267574,plain,
( sdtlseqdt0(xn,xp)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),xq) ),
inference(superposition,[status(thm)],[c_257994,c_113]) ).
tcf(c_267575,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xq,sK3(xq,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257994,c_76]) ).
tcf(c_267576,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_257994,c_251249]) ).
tcf(c_267577,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK3(xq,xp) = xq )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267576,c_62]) ).
tcf(c_267584,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xq,sK3(xq,sK3(xq,xp))) = sK3(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267575,c_62]) ).
tcf(c_267589,plain,
( sdtlseqdt0(xn,xp)
| ( sK3(xq,xp) = xq )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267574,c_62]) ).
tcf(c_267595,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267569,c_62]) ).
tcf(c_267602,plain,
( sdtlseqdt0(xn,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,sK3(xq,xp))),xp) = sK3(xq,sK3(xq,xp)) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267572,c_62]) ).
tcf(c_267607,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267570,c_62]) ).
tcf(c_267621,plain,
( aNaturalNumber0(sK3(sz00,xp))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,xp)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,xp))) ),
inference(superposition,[status(thm)],[c_250836,c_108]) ).
tcf(c_267622,plain,
( aNaturalNumber0(sK3(sz00,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,xp)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267621,c_38242,c_59]) ).
tcf(c_267626,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_266385,c_73]) ).
tcf(c_267634,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266385,c_148]) ).
tcf(c_267636,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_266385,c_73]) ).
tcf(c_267637,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_266385,c_79]) ).
tcf(c_267638,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_266385,c_71]) ).
tcf(c_267639,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_266385,c_71]) ).
tcf(c_267641,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_266385,c_80]) ).
tcf(c_267642,plain,
sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_267634,c_106,c_266234]) ).
tcf(c_267643,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267641,c_106,c_266234]) ).
tcf(c_267647,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xp),X0) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267637,c_106,c_266234]) ).
tcf(c_267652,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_267638,c_106,c_266234]) ).
tcf(c_267657,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_267636,c_106,c_266234]) ).
tcf(c_267662,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_267626,c_106,c_266234]) ).
tcf(c_267670,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xm,xp),sdtpldt0(xm,xp))),xp) = sK3(sdtpldt0(xm,xp),sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_267642,c_249177]) ).
tcf(c_267673,plain,
( ( sdtpldt0(sdtpldt0(xm,xp),sK3(sdtpldt0(xm,xp),sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_267642,c_76]) ).
tcf(c_267674,plain,
sdtpldt0(sdtpldt0(xm,xp),sK3(sdtpldt0(xm,xp),sdtpldt0(xm,xp))) = sdtpldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_267673,c_266234]) ).
tcf(c_267675,plain,
sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xm,xp),sdtpldt0(xm,xp))),xp) = sK3(sdtpldt0(xm,xp),sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_267670,c_266234]) ).
tcf(c_267676,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_266881,c_73]) ).
tcf(c_267677,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xq)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_266881,c_264696]) ).
tcf(c_267678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_266881,c_264358]) ).
tcf(c_267679,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_266881,c_262239]) ).
tcf(c_267684,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_266881,c_148]) ).
tcf(c_267686,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_266881,c_73]) ).
tcf(c_267687,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_266881,c_79]) ).
tcf(c_267688,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_266881,c_71]) ).
tcf(c_267689,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_266881,c_71]) ).
tcf(c_267691,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_266881,c_80]) ).
tcf(c_267694,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xm,xq) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_266881,c_255973]) ).
tcf(c_267695,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_267684,c_106,c_266559]) ).
tcf(c_267697,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,xq)) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267691,c_106,c_266559]) ).
tcf(c_267701,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267687,c_106,c_266559]) ).
tcf(c_267705,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_267686,c_106,c_266559]) ).
tcf(c_267711,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_267689,c_106,c_266559]) ).
tcf(c_267716,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_267688,c_106,c_266559]) ).
tcf(c_267721,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xm,xq) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267694,c_266559]) ).
tcf(c_267726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267678,c_106,c_266559]) ).
tcf(c_267733,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_267695,c_112]) ).
tcf(c_267736,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xm,xq))),xp) = sK3(sz00,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_267695,c_249177]) ).
tcf(c_267738,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_267695,c_113]) ).
tcf(c_267739,plain,
( ( sdtpldt0(sz00,sK3(sz00,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_267695,c_76]) ).
tcf(c_267740,plain,
sdtpldt0(sz00,sK3(sz00,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_267739,c_106,c_266559]) ).
tcf(c_267741,plain,
~ sdtlseqdt0(sdtpldt0(xm,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_267738,c_266564,c_106,c_266559]) ).
tcf(c_267742,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267733,c_106,c_266559]) ).
tcf(c_267746,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xm,xq))),xp) = sK3(sz00,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_267736,c_106,c_266559]) ).
tcf(c_267766,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_266882,c_73]) ).
tcf(c_267774,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_266882,c_148]) ).
tcf(c_267776,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_266882,c_73]) ).
tcf(c_267777,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_266882,c_79]) ).
tcf(c_267778,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_266882,c_71]) ).
tcf(c_267779,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_266882,c_71]) ).
tcf(c_267781,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_266882,c_80]) ).
tcf(c_267782,plain,
sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_267774,c_106,c_266559]) ).
tcf(c_267783,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267781,c_106,c_266559]) ).
tcf(c_267787,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xq),X0) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267777,c_106,c_266559]) ).
tcf(c_267792,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_267778,c_106,c_266559]) ).
tcf(c_267797,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_267776,c_106,c_266559]) ).
tcf(c_267802,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_267766,c_106,c_266559]) ).
tcf(c_267886,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xm,xq),sdtpldt0(xm,xq))),xp) = sK3(sdtpldt0(xm,xq),sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_267782,c_249177]) ).
tcf(c_267889,plain,
( ( sdtpldt0(sdtpldt0(xm,xq),sK3(sdtpldt0(xm,xq),sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_267782,c_76]) ).
tcf(c_267890,plain,
sdtpldt0(sdtpldt0(xm,xq),sK3(sdtpldt0(xm,xq),sdtpldt0(xm,xq))) = sdtpldt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_267889,c_266559]) ).
tcf(c_267891,plain,
sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xm,xq),sdtpldt0(xm,xq))),xp) = sK3(sdtpldt0(xm,xq),sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_267886,c_266559]) ).
tcf(c_267899,plain,
sdtpldt0(xn,xp) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_59,c_248165]) ).
tcf(c_267900,plain,
sdtpldt0(xn,xq) = sdtpldt0(xq,xn),
inference(superposition,[status(thm)],[c_62,c_248165]) ).
tcf(c_267901,plain,
sdtpldt0(xn,sK2) = sdtpldt0(sK2,xn),
inference(superposition,[status(thm)],[c_65,c_248165]) ).
tcf(c_267902,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87,c_248165]) ).
tcf(c_267903,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),xn) = sdtpldt0(xn,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_248165]) ).
tcf(c_267904,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xn) = sdtpldt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_248165]) ).
tcf(c_267905,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK4(X0,X1),xn) = sdtpldt0(xn,sK4(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_248165]) ).
tcf(c_267906,plain,
sdtpldt0(xn,sz00) = sdtpldt0(sz00,xn),
inference(superposition,[status(thm)],[c_106,c_248165]) ).
tcf(c_267907,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_108,c_248165]) ).
tcf(c_267908,plain,
sdtpldt0(sdtasdt0(xl,xq),xn) = sdtpldt0(xn,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_248038,c_248165]) ).
tcf(c_267909,plain,
sdtpldt0(sdtpldt0(xm,xl),xn) = sdtpldt0(xn,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_258822,c_248165]) ).
tcf(c_267910,plain,
sdtpldt0(sdtpldt0(xl,xn),xn) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_259154,c_248165]) ).
tcf(c_267911,plain,
sdtpldt0(sdtpldt0(xl,xp),xn) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_259440,c_248165]) ).
tcf(c_267912,plain,
sdtpldt0(sdtpldt0(xl,xq),xn) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_260391,c_248165]) ).
tcf(c_267913,plain,
sdtpldt0(sdtpldt0(xl,sK2),xn) = sdtpldt0(xn,sdtpldt0(xl,sK2)),
inference(superposition,[status(thm)],[c_260585,c_248165]) ).
tcf(c_267914,plain,
sdtpldt0(sdtpldt0(xm,xp),xn) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_266234,c_248165]) ).
tcf(c_267915,plain,
sdtpldt0(sdtpldt0(xm,xq),xn) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_266559,c_248165]) ).
tcf(c_268034,plain,
( aNaturalNumber0(sK3(sz00,xq))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,xq)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,xq))) ),
inference(superposition,[status(thm)],[c_250837,c_108]) ).
tcf(c_268035,plain,
( aNaturalNumber0(sK3(sz00,xq))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,xq)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268034,c_38242,c_59]) ).
tcf(c_268039,plain,
( ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xp) != xq ) ),
inference(superposition,[status(thm)],[c_267899,c_68]) ).
tcf(c_268040,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_267899,c_73]) ).
tcf(c_268041,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK3(xq,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_267899,c_264696]) ).
tcf(c_268042,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sK3(xq,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_267899,c_264358]) ).
tcf(c_268043,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_267899,c_262239]) ).
tcf(c_268047,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_267899,c_77]) ).
tcf(c_268048,plain,
( sdtlseqdt0(xp,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_267899,c_148]) ).
tcf(c_268049,plain,
( aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_267899,c_87]) ).
tcf(c_268050,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,xn))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_267899,c_73]) ).
tcf(c_268051,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_267899,c_79]) ).
tcf(c_268052,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xp,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_267899,c_71]) ).
tcf(c_268053,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_267899,c_71]) ).
tcf(c_268054,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_267899,c_101]) ).
tcf(c_268055,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_267899,c_80]) ).
tcf(c_268056,plain,
aNaturalNumber0(sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_268049,c_59,c_51]) ).
tcf(c_268057,plain,
sdtpldt0(xn,xp) != xq,
inference(forward_subsumption_resolution,[status(thm)],[c_268039,c_51]) ).
tcf(c_268058,plain,
sdtlseqdt0(xp,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_268048,c_59,c_51]) ).
tcf(c_268059,plain,
sdtpldt0(xn,xp) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_268047,c_38242,c_59,c_51]) ).
tcf(c_268060,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268055,c_59,c_51]) ).
tcf(c_268064,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268054,c_59,c_51]) ).
tcf(c_268069,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268051,c_59,c_51]) ).
tcf(c_268073,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268043,c_59,c_51]) ).
tcf(c_268077,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268053,c_59,c_51]) ).
tcf(c_268082,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xp,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268052,c_59,c_51]) ).
tcf(c_268087,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,xn))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268050,c_59,c_51]) ).
tcf(c_268092,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268040,c_59,c_51]) ).
tcf(c_268097,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sK3(xq,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268042,c_59,c_51]) ).
tcf(c_268104,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK3(xq,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268041,c_59,c_51]) ).
tcf(c_268125,plain,
sdtpldt0(sdtpldt0(xn,xp),xn) = sdtpldt0(xn,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_268056,c_248165]) ).
tcf(c_268126,plain,
sdtpldt0(sdtpldt0(xn,xp),xm) = sdtpldt0(xm,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_268056,c_248164]) ).
tcf(c_268127,plain,
sdtpldt0(sdtpldt0(xn,xp),xl) = sdtpldt0(xl,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_268056,c_248163]) ).
tcf(c_268128,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtpldt0(xn,xp),X0)),xp) = sdtasdt0(sdtpldt0(xn,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268056,c_249178]) ).
tcf(c_268129,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtpldt0(xn,xp),X0)),xp) = sdtpldt0(sdtpldt0(xn,xp),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268056,c_249176]) ).
tcf(c_268130,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,xp)),sdtasdt0(X0,sdtpldt0(xn,xp))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268056,c_82]) ).
tcf(c_268131,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,xp),X1),sdtasdt0(sdtpldt0(xn,xp),X0)) = sdtasdt0(sdtpldt0(xn,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268056,c_81]) ).
tcf(c_268132,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xp),X1),X0) = sdtasdt0(sdtpldt0(xn,xp),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268056,c_98]) ).
tcf(c_268133,plain,
sdtsldt0(sdtasdt0(xp,sdtpldt0(xn,xp)),xp) = sdtpldt0(xn,xp),
inference(superposition,[status(thm)],[c_268056,c_248772]) ).
tcf(c_268134,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,xp),X1),X0) = sdtpldt0(sdtpldt0(xn,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268056,c_85]) ).
tcf(c_268135,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,xp),X0),sdtpldt0(xn,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268056,c_155]) ).
tcf(c_268136,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xp),X0) = sdtasdt0(X0,sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268056,c_99]) ).
tcf(c_268137,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xp),X0) = sdtpldt0(X0,sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268056,c_86]) ).
tcf(c_268138,plain,
sdtasdt0(sz00,sdtpldt0(xn,xp)) = sz00,
inference(superposition,[status(thm)],[c_268056,c_97]) ).
tcf(c_268139,plain,
sdtasdt0(sdtpldt0(xn,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_268056,c_96]) ).
tcf(c_268140,plain,
sdtpldt0(sz00,sdtpldt0(xn,xp)) = sdtpldt0(xn,xp),
inference(superposition,[status(thm)],[c_268056,c_84]) ).
tcf(c_268141,plain,
sdtpldt0(sdtpldt0(xn,xp),sz00) = sdtpldt0(xn,xp),
inference(superposition,[status(thm)],[c_268056,c_83]) ).
tcf(c_268652,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268058,c_112]) ).
tcf(c_268653,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268058,c_259674]) ).
tcf(c_268654,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_268058,c_256023]) ).
tcf(c_268655,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xp,sdtpldt0(xn,xp))),xp) = sK3(xp,sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268058,c_249177]) ).
tcf(c_268657,plain,
( ( sdtpldt0(xn,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xp) ),
inference(superposition,[status(thm)],[c_268058,c_113]) ).
tcf(c_268658,plain,
( ( sdtpldt0(xp,sK3(xp,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268058,c_76]) ).
tcf(c_268659,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268058,c_249932]) ).
tcf(c_268660,plain,
sdtlseqdt0(xq,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_268659,c_268056]) ).
tcf(c_268661,plain,
sdtpldt0(xp,sK3(xp,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_268658,c_59,c_268056]) ).
tcf(c_268662,plain,
( ( sdtpldt0(xn,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268657,c_59,c_268056]) ).
tcf(c_268665,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268652,c_59,c_268056]) ).
tcf(c_268669,plain,
sdtsldt0(sdtasdt0(xp,sK3(xp,sdtpldt0(xn,xp))),xp) = sK3(xp,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_268655,c_59,c_268056]) ).
tcf(c_268671,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268653,c_59,c_268056]) ).
tcf(c_268676,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268660,c_112]) ).
tcf(c_268677,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268660,c_259674]) ).
tcf(c_268678,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_268660,c_256023]) ).
tcf(c_268679,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xn,xp))),xp) = sK3(xq,sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268660,c_249177]) ).
tcf(c_268681,plain,
( ( sdtpldt0(xn,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xq) ),
inference(superposition,[status(thm)],[c_268660,c_113]) ).
tcf(c_268682,plain,
( ( sdtpldt0(xq,sK3(xq,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268660,c_76]) ).
tcf(c_268683,plain,
sdtpldt0(xq,sK3(xq,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_268682,c_62,c_268056]) ).
tcf(c_268684,plain,
~ sdtlseqdt0(sdtpldt0(xn,xp),xq),
inference(forward_subsumption_resolution,[status(thm)],[c_268681,c_268057,c_62,c_268056]) ).
tcf(c_268685,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268676,c_62,c_268056]) ).
tcf(c_268689,plain,
sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xn,xp))),xp) = sK3(xq,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_268679,c_62,c_268056]) ).
tcf(c_268690,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268678,c_62,c_268056]) ).
tcf(c_268694,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268677,c_62,c_268056]) ).
tcf(c_268701,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_256946,c_268684]) ).
tcf(c_268702,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_268701,c_268056]) ).
tcf(c_268703,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268702,c_112]) ).
tcf(c_268705,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_268702,c_256023]) ).
tcf(c_268706,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xn,xp))),xp) = sK3(sz00,sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268702,c_249177]) ).
tcf(c_268708,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_268702,c_113]) ).
tcf(c_268709,plain,
( ( sdtpldt0(sz00,sK3(sz00,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268702,c_76]) ).
tcf(c_268710,plain,
sdtpldt0(sz00,sK3(sz00,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_268709,c_106,c_268056]) ).
tcf(c_268711,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268708,c_106,c_268056]) ).
tcf(c_268714,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268703,c_106,c_268056]) ).
tcf(c_268718,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xn,xp))),xp) = sK3(sz00,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_268706,c_106,c_268056]) ).
tcf(c_268734,plain,
~ sdtlseqdt0(sdtpldt0(xn,xp),sz00),
inference(global_subsumption_just,[status(thm)],[c_268690,c_106,c_62,c_59,c_69,c_115,c_117,c_128,c_2924,c_2937,c_3120,c_3258,c_7137,c_48669,c_54494]) ).
tcf(c_268752,plain,
( aNaturalNumber0(sK3(sz00,xn))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,xn)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,xn))) ),
inference(superposition,[status(thm)],[c_250839,c_108]) ).
tcf(c_268753,plain,
( aNaturalNumber0(sK3(sz00,xn))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,xn)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268752,c_38242,c_59]) ).
tcf(c_268757,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_267900,c_73]) ).
tcf(c_268758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK3(xq,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_267900,c_264696]) ).
tcf(c_268759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK3(xq,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_267900,c_264358]) ).
tcf(c_268760,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_267900,c_262239]) ).
tcf(c_268763,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_267900,c_78]) ).
tcf(c_268764,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_267900,c_77]) ).
tcf(c_268765,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_267900,c_148]) ).
tcf(c_268766,plain,
( aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_267900,c_87]) ).
tcf(c_268767,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_267900,c_73]) ).
tcf(c_268768,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_267900,c_79]) ).
tcf(c_268769,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_267900,c_71]) ).
tcf(c_268770,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_267900,c_71]) ).
tcf(c_268771,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_267900,c_101]) ).
tcf(c_268772,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_267900,c_80]) ).
tcf(c_268774,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_267900,c_256030]) ).
tcf(c_268775,plain,
( sdtlseqdt0(xp,sdtpldt0(xn,xq))
| sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_267900,c_253184]) ).
tcf(c_268776,plain,
( sdtlseqdt0(sK3(xq,xp),xn)
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_267900,c_253115]) ).
tcf(c_268777,plain,
( ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(xn,xq) != xp ) ),
inference(superposition,[status(thm)],[c_267900,c_249523]) ).
tcf(c_268778,plain,
aNaturalNumber0(sdtpldt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_268766,c_62,c_51]) ).
tcf(c_268779,plain,
sdtlseqdt0(xq,sdtpldt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_268765,c_62,c_51]) ).
tcf(c_268780,plain,
( ( sz00 = xq )
| ( sdtpldt0(xn,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268764,c_62,c_51]) ).
tcf(c_268783,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268763,c_62,c_51]) ).
tcf(c_268786,plain,
( ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(xn,xq) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268777,c_51]) ).
tcf(c_268790,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268772,c_62,c_51]) ).
tcf(c_268794,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268771,c_62,c_51]) ).
tcf(c_268799,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268768,c_62,c_51]) ).
tcf(c_268803,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268760,c_62,c_51]) ).
tcf(c_268807,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK3(xq,xp) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268774,c_51]) ).
tcf(c_268812,plain,
( sdtlseqdt0(sK3(xq,xp),xn)
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268776,c_51]) ).
tcf(c_268817,plain,
( sdtlseqdt0(xp,sdtpldt0(xn,xq))
| sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268775,c_51]) ).
tcf(c_268822,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xn,xq))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268770,c_62,c_51]) ).
tcf(c_268827,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(xq,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268769,c_62,c_51]) ).
tcf(c_268832,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(X0,xn))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268767,c_62,c_51]) ).
tcf(c_268837,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268757,c_62,c_51]) ).
tcf(c_268842,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK3(xq,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268759,c_62,c_51]) ).
tcf(c_268849,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK3(xq,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268758,c_62,c_51]) ).
tcf(c_268858,plain,
sdtpldt0(sdtpldt0(xn,xq),xn) = sdtpldt0(xn,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_268778,c_248165]) ).
tcf(c_268859,plain,
sdtpldt0(sdtpldt0(xn,xq),xm) = sdtpldt0(xm,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_268778,c_248164]) ).
tcf(c_268860,plain,
sdtpldt0(sdtpldt0(xn,xq),xl) = sdtpldt0(xl,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_268778,c_248163]) ).
tcf(c_268861,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtpldt0(xn,xq),X0)),xp) = sdtasdt0(sdtpldt0(xn,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268778,c_249178]) ).
tcf(c_268862,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtpldt0(xn,xq),X0)),xp) = sdtpldt0(sdtpldt0(xn,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268778,c_249176]) ).
tcf(c_268863,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,xq)),sdtasdt0(X0,sdtpldt0(xn,xq))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xn,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268778,c_82]) ).
tcf(c_268864,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,xq),X1),sdtasdt0(sdtpldt0(xn,xq),X0)) = sdtasdt0(sdtpldt0(xn,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268778,c_81]) ).
tcf(c_268865,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xq),X1),X0) = sdtasdt0(sdtpldt0(xn,xq),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268778,c_98]) ).
tcf(c_268866,plain,
sdtsldt0(sdtasdt0(xp,sdtpldt0(xn,xq)),xp) = sdtpldt0(xn,xq),
inference(superposition,[status(thm)],[c_268778,c_248772]) ).
tcf(c_268867,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,xq),X1),X0) = sdtpldt0(sdtpldt0(xn,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268778,c_85]) ).
tcf(c_268868,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,xq),X0),sdtpldt0(xn,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268778,c_155]) ).
tcf(c_268869,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xq),X0) = sdtasdt0(X0,sdtpldt0(xn,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268778,c_99]) ).
tcf(c_268870,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xq),X0) = sdtpldt0(X0,sdtpldt0(xn,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_268778,c_86]) ).
tcf(c_268871,plain,
sdtasdt0(sz00,sdtpldt0(xn,xq)) = sz00,
inference(superposition,[status(thm)],[c_268778,c_97]) ).
tcf(c_268872,plain,
sdtasdt0(sdtpldt0(xn,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_268778,c_96]) ).
tcf(c_268873,plain,
sdtpldt0(sz00,sdtpldt0(xn,xq)) = sdtpldt0(xn,xq),
inference(superposition,[status(thm)],[c_268778,c_84]) ).
tcf(c_268874,plain,
sdtpldt0(sdtpldt0(xn,xq),sz00) = sdtpldt0(xn,xq),
inference(superposition,[status(thm)],[c_268778,c_83]) ).
tcf(c_268912,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268779,c_112]) ).
tcf(c_268913,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,xq))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268779,c_259674]) ).
tcf(c_268914,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_268779,c_256023]) ).
tcf(c_268915,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xn,xq))),xp) = sK3(xq,sdtpldt0(xn,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268779,c_249177]) ).
tcf(c_268917,plain,
( ( sdtpldt0(xn,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),xq) ),
inference(superposition,[status(thm)],[c_268779,c_113]) ).
tcf(c_268918,plain,
( ( sdtpldt0(xq,sK3(xq,sdtpldt0(xn,xq))) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268779,c_76]) ).
tcf(c_268919,plain,
sdtpldt0(xq,sK3(xq,sdtpldt0(xn,xq))) = sdtpldt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_268918,c_62,c_268778]) ).
tcf(c_268920,plain,
( ( sdtpldt0(xn,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268917,c_62,c_268778]) ).
tcf(c_268923,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268912,c_62,c_268778]) ).
tcf(c_268927,plain,
sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xn,xq))),xp) = sK3(xq,sdtpldt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_268915,c_62,c_268778]) ).
tcf(c_268929,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,xq))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268913,c_62,c_268778]) ).
tcf(c_269034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK2))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(superposition,[status(thm)],[c_267901,c_73]) ).
tcf(c_269035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(superposition,[status(thm)],[c_267901,c_264696]) ).
tcf(c_269036,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK3(xq,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(superposition,[status(thm)],[c_267901,c_264358]) ).
tcf(c_269037,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(superposition,[status(thm)],[c_267901,c_262239]) ).
tcf(c_269040,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK2) != sz00 ) ),
inference(superposition,[status(thm)],[c_267901,c_78]) ).
tcf(c_269041,plain,
( ( sz00 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK2) != sz00 ) ),
inference(superposition,[status(thm)],[c_267901,c_77]) ).
tcf(c_269042,plain,
( sdtlseqdt0(sK2,sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_267901,c_148]) ).
tcf(c_269043,plain,
( aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_267901,c_87]) ).
tcf(c_269044,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK2),sdtpldt0(X0,xn))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(superposition,[status(thm)],[c_267901,c_73]) ).
tcf(c_269045,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK2,X0) != sdtpldt0(xn,sK2) ) ),
inference(superposition,[status(thm)],[c_267901,c_79]) ).
tcf(c_269046,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK2),sdtpldt0(sK2,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_267901,c_71]) ).
tcf(c_269047,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sdtpldt0(xn,sK2))
| ( X0 = xn )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_267901,c_71]) ).
tcf(c_269048,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK2)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_267901,c_101]) ).
tcf(c_269049,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK2) ) ),
inference(superposition,[status(thm)],[c_267901,c_80]) ).
tcf(c_269050,plain,
aNaturalNumber0(sdtpldt0(xn,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_269043,c_65,c_51]) ).
tcf(c_269051,plain,
sdtlseqdt0(sK2,sdtpldt0(xn,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_269042,c_65,c_51]) ).
tcf(c_269052,plain,
( ( sz00 = sK2 )
| ( sdtpldt0(xn,sK2) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269041,c_65,c_51]) ).
tcf(c_269055,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,sK2) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269040,c_65,c_51]) ).
tcf(c_269058,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269049,c_65,c_51]) ).
tcf(c_269062,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK2)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269048,c_65,c_51]) ).
tcf(c_269067,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK2,X0) != sdtpldt0(xn,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269045,c_65,c_51]) ).
tcf(c_269071,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269037,c_65,c_51]) ).
tcf(c_269075,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sdtpldt0(xn,sK2))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269047,c_65,c_51]) ).
tcf(c_269080,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK2),sdtpldt0(sK2,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269046,c_65,c_51]) ).
tcf(c_269085,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK2),sdtpldt0(X0,xn))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269044,c_65,c_51]) ).
tcf(c_269090,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK2))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269034,c_65,c_51]) ).
tcf(c_269095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK3(xq,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269036,c_65,c_51]) ).
tcf(c_269102,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269035,c_65,c_51]) ).
tcf(c_269111,plain,
sdtpldt0(sdtpldt0(xn,sK2),xn) = sdtpldt0(xn,sdtpldt0(xn,sK2)),
inference(superposition,[status(thm)],[c_269050,c_248165]) ).
tcf(c_269112,plain,
sdtpldt0(sdtpldt0(xn,sK2),xm) = sdtpldt0(xm,sdtpldt0(xn,sK2)),
inference(superposition,[status(thm)],[c_269050,c_248164]) ).
tcf(c_269113,plain,
sdtpldt0(sdtpldt0(xn,sK2),xl) = sdtpldt0(xl,sdtpldt0(xn,sK2)),
inference(superposition,[status(thm)],[c_269050,c_248163]) ).
tcf(c_269114,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtpldt0(xn,sK2),X0)),xp) = sdtasdt0(sdtpldt0(xn,sK2),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_269050,c_249178]) ).
tcf(c_269115,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtpldt0(xn,sK2),X0)),xp) = sdtpldt0(sdtpldt0(xn,sK2),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_269050,c_249176]) ).
tcf(c_269116,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,sK2)),sdtasdt0(X0,sdtpldt0(xn,sK2))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xn,sK2)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_269050,c_82]) ).
tcf(c_269117,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sK2),X1),sdtasdt0(sdtpldt0(xn,sK2),X0)) = sdtasdt0(sdtpldt0(xn,sK2),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_269050,c_81]) ).
tcf(c_269118,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sK2),X1),X0) = sdtasdt0(sdtpldt0(xn,sK2),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_269050,c_98]) ).
tcf(c_269119,plain,
sdtsldt0(sdtasdt0(xp,sdtpldt0(xn,sK2)),xp) = sdtpldt0(xn,sK2),
inference(superposition,[status(thm)],[c_269050,c_248772]) ).
tcf(c_269120,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sK2),X1),X0) = sdtpldt0(sdtpldt0(xn,sK2),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_269050,c_85]) ).
tcf(c_269121,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK2) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sK2),X0),sdtpldt0(xn,sK2)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_269050,c_155]) ).
tcf(c_269122,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sK2),X0) = sdtasdt0(X0,sdtpldt0(xn,sK2)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_269050,c_99]) ).
tcf(c_269123,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sK2),X0) = sdtpldt0(X0,sdtpldt0(xn,sK2)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_269050,c_86]) ).
tcf(c_269124,plain,
sdtasdt0(sz00,sdtpldt0(xn,sK2)) = sz00,
inference(superposition,[status(thm)],[c_269050,c_97]) ).
tcf(c_269125,plain,
sdtasdt0(sdtpldt0(xn,sK2),sz00) = sz00,
inference(superposition,[status(thm)],[c_269050,c_96]) ).
tcf(c_269126,plain,
sdtpldt0(sz00,sdtpldt0(xn,sK2)) = sdtpldt0(xn,sK2),
inference(superposition,[status(thm)],[c_269050,c_84]) ).
tcf(c_269127,plain,
sdtpldt0(sdtpldt0(xn,sK2),sz00) = sdtpldt0(xn,sK2),
inference(superposition,[status(thm)],[c_269050,c_83]) ).
tcf(c_269151,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269051,c_112]) ).
tcf(c_269152,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,sK2))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269051,c_259674]) ).
tcf(c_269153,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(superposition,[status(thm)],[c_269051,c_256023]) ).
tcf(c_269154,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sK2,sdtpldt0(xn,sK2))),xp) = sK3(sK2,sdtpldt0(xn,sK2)) )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269051,c_249177]) ).
tcf(c_269155,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269051,c_249154]) ).
tcf(c_269156,plain,
( ( sdtpldt0(xn,sK2) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sK2) ),
inference(superposition,[status(thm)],[c_269051,c_113]) ).
tcf(c_269157,plain,
( ( sdtpldt0(sK2,sK3(sK2,sdtpldt0(xn,sK2))) = sdtpldt0(xn,sK2) )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269051,c_76]) ).
tcf(c_269158,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sdtpldt0(xn,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269155,c_65,c_269050]) ).
tcf(c_269161,plain,
sdtpldt0(sK2,sK3(sK2,sdtpldt0(xn,sK2))) = sdtpldt0(xn,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_269157,c_65,c_269050]) ).
tcf(c_269162,plain,
( ( sdtpldt0(xn,sK2) = sK2 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269156,c_65,c_269050]) ).
tcf(c_269165,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269151,c_65,c_269050]) ).
tcf(c_269169,plain,
sdtsldt0(sdtasdt0(xp,sK3(sK2,sdtpldt0(xn,sK2))),xp) = sK3(sK2,sdtpldt0(xn,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_269154,c_65,c_269050]) ).
tcf(c_269171,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,sK2))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269152,c_65,c_269050]) ).
tcf(c_269176,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268138,c_92]) ).
tcf(c_269178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268138,c_265596]) ).
tcf(c_269180,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268138,c_262982]) ).
tcf(c_269189,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtasdt0(X0,sdtpldt0(xn,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_268138,c_95]) ).
tcf(c_269190,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268138,c_92]) ).
tcf(c_269192,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269189,c_268059,c_106,c_268056]) ).
tcf(c_269197,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269176,c_268059,c_106,c_268056]) ).
tcf(c_269206,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268139,c_265328]) ).
tcf(c_269209,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtasdt0(sdtpldt0(xn,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_268139,c_94]) ).
tcf(c_269211,plain,
( doDivides0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268139,c_145]) ).
tcf(c_269213,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268139,c_90]) ).
tcf(c_269215,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268139,c_90]) ).
tcf(c_269218,plain,
doDivides0(sdtpldt0(xn,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_269211,c_106,c_268056]) ).
tcf(c_269219,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269209,c_268059,c_106,c_268056]) ).
tcf(c_269224,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269213,c_268059,c_106,c_268056]) ).
tcf(c_269242,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268807,c_112]) ).
tcf(c_269245,plain,
( ( sK3(xq,xp) = xn )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xn,xq),xp)),xp) = sK3(sdtpldt0(xn,xq),xp) )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268807,c_249177]) ).
tcf(c_269247,plain,
( ( sK3(xq,xp) = xn )
| ( sdtpldt0(xn,xq) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(xp,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268807,c_113]) ).
tcf(c_269248,plain,
( ( sK3(xq,xp) = xn )
| ( sdtpldt0(sdtpldt0(xn,xq),sK3(sdtpldt0(xn,xq),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268807,c_76]) ).
tcf(c_269249,plain,
( ( sK3(xq,xp) = xn )
| ( sdtpldt0(sdtpldt0(xn,xq),sK3(sdtpldt0(xn,xq),xp)) = xp )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269248,c_59,c_268778]) ).
tcf(c_269254,plain,
( ( sK3(xq,xp) = xn )
| ( sdtpldt0(xn,xq) = xp )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(xp,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269247,c_59,c_268778]) ).
tcf(c_269260,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269242,c_59,c_268778]) ).
tcf(c_269267,plain,
( ( sK3(xq,xp) = xn )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xn,xq),xp)),xp) = sK3(sdtpldt0(xn,xq),xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269245,c_59,c_268778]) ).
tcf(c_269280,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sK3(xq,xp) != xp ) ),
inference(superposition,[status(thm)],[c_248472,c_261397]) ).
tcf(c_269291,plain,
( ( sK3(sz00,sz00) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ( sK3(xq,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_248465,c_261402]) ).
tcf(c_269293,plain,
( ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl))
| ( sK3(xq,xp) != xl ) ),
inference(superposition,[status(thm)],[c_248475,c_261402]) ).
tcf(c_269294,plain,
( ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm))
| ( sK3(xq,xp) != xm ) ),
inference(superposition,[status(thm)],[c_248474,c_261402]) ).
tcf(c_269295,plain,
( ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn))
| ( sK3(xq,xp) != xn ) ),
inference(superposition,[status(thm)],[c_248473,c_261402]) ).
tcf(c_269296,plain,
( ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq))
| ( sK3(xq,xp) != xq ) ),
inference(superposition,[status(thm)],[c_248471,c_261402]) ).
tcf(c_269297,plain,
( ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp))
| ( sK3(xq,xp) != xp ) ),
inference(superposition,[status(thm)],[c_248470,c_261402]) ).
tcf(c_269298,plain,
( ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ( sK3(xq,xp) != sK2 ) ),
inference(superposition,[status(thm)],[c_248469,c_261402]) ).
tcf(c_269300,plain,
( ( sK3(sz00,sdtasdt0(xl,xq)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_249073,c_261402]) ).
tcf(c_269341,plain,
! [X0: $i] :
( ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK3(X0,xp)) = xp ) ),
inference(global_subsumption_just,[status(thm)],[c_258081,c_94030]) ).
tcf(c_269342,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(renaming,[status(thm)],[c_269341]) ).
tcf(c_269351,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_269342]) ).
tcf(c_269366,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_253115,c_269342]) ).
tcf(c_269368,plain,
( sdtlseqdt0(xq,xp)
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_269366,c_247976]) ).
tcf(c_269369,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_261407,c_14962,c_145354]) ).
tcf(c_269379,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248472,c_269369]) ).
tcf(c_269381,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X1,sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_269369,c_112]) ).
tcf(c_269382,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_269369,c_259674]) ).
tcf(c_269383,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_269369,c_256023]) ).
tcf(c_269384,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),sdtpldt0(X0,sK3(xq,xp)))),xp) = sK3(sK3(xq,xp),sdtpldt0(X0,sK3(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_269369,c_249177]) ).
tcf(c_269385,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_269369,c_249154]) ).
tcf(c_269386,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_269369,c_113]) ).
tcf(c_269387,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),sdtpldt0(X0,sK3(xq,xp)))) = sdtpldt0(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_269369,c_76]) ).
tcf(c_269388,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(xq,xp)) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK3(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_269369,c_265990]) ).
tcf(c_269389,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_269369,c_260194]) ).
tcf(c_269390,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_269369,c_256026]) ).
tcf(c_269391,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(X0,sK3(xq,xp))))
| ( X0 = sz00 )
| ( sdtpldt0(X0,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_269369,c_251344]) ).
tcf(c_269482,plain,
( aNaturalNumber0(sK3(sz00,xm))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,xm)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,xm))) ),
inference(superposition,[status(thm)],[c_250840,c_108]) ).
tcf(c_269483,plain,
( aNaturalNumber0(sK3(sz00,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,xm)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269482,c_38242,c_59]) ).
tcf(c_269487,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xp),sdtsldt0(sz00,sdtpldt0(xn,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_269218,c_109]) ).
tcf(c_269488,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_269218,c_102]) ).
tcf(c_269489,plain,
( ( sdtasdt0(sdtpldt0(xn,xp),sK4(sdtpldt0(xn,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_269218,c_105]) ).
tcf(c_269490,plain,
sdtasdt0(sdtpldt0(xn,xp),sK4(sdtpldt0(xn,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_269489,c_106,c_268056]) ).
tcf(c_269491,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269488,c_106,c_268056]) ).
tcf(c_269495,plain,
sdtasdt0(sdtpldt0(xn,xp),sdtsldt0(sz00,sdtpldt0(xn,xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_269487,c_268059,c_106,c_268056]) ).
tcf(c_269496,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_268871,c_92]) ).
tcf(c_269498,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xq)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268871,c_265596]) ).
tcf(c_269500,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268871,c_262982]) ).
tcf(c_269509,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_268871,c_95]) ).
tcf(c_269510,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_268871,c_92]) ).
tcf(c_269511,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269500,c_106,c_248101,c_268778]) ).
tcf(c_269515,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269509,c_106,c_268778]) ).
tcf(c_269520,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_269510,c_106,c_268778]) ).
tcf(c_269526,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_269496,c_106,c_268778]) ).
tcf(c_269532,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xq)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269498,c_106,c_248101,c_268778]) ).
tcf(c_269586,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xq),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268872,c_265328]) ).
tcf(c_269589,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_268872,c_94]) ).
tcf(c_269591,plain,
( doDivides0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268872,c_145]) ).
tcf(c_269593,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_268872,c_90]) ).
tcf(c_269595,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_268872,c_90]) ).
tcf(c_269598,plain,
doDivides0(sdtpldt0(xn,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_269591,c_106,c_268778]) ).
tcf(c_269599,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269589,c_106,c_268778]) ).
tcf(c_269604,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_269595,c_106,c_268778]) ).
tcf(c_269610,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_269593,c_106,c_268778]) ).
tcf(c_269616,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xq),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269586,c_106,c_248101,c_268778]) ).
tcf(c_269623,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_269598,c_109]) ).
tcf(c_269624,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xq),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_269598,c_102]) ).
tcf(c_269625,plain,
( ( sdtasdt0(sdtpldt0(xn,xq),sK4(sdtpldt0(xn,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_269598,c_105]) ).
tcf(c_269626,plain,
sdtasdt0(sdtpldt0(xn,xq),sK4(sdtpldt0(xn,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_269625,c_106,c_268778]) ).
tcf(c_269627,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xq),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269624,c_106,c_268778]) ).
tcf(c_269631,plain,
( ( sdtpldt0(xn,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xq),sdtsldt0(sz00,sdtpldt0(xn,xq))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269623,c_106,c_268778]) ).
tcf(c_269634,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK2)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269124,c_92]) ).
tcf(c_269636,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK2)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269124,c_265596]) ).
tcf(c_269638,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269124,c_262982]) ).
tcf(c_269647,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ( sdtasdt0(X0,sdtpldt0(xn,sK2)) != sz00 ) ),
inference(superposition,[status(thm)],[c_269124,c_95]) ).
tcf(c_269648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK2)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269124,c_92]) ).
tcf(c_269649,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269638,c_106,c_248101,c_269050]) ).
tcf(c_269653,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK2)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269647,c_106,c_269050]) ).
tcf(c_269658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK2)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269648,c_106,c_269050]) ).
tcf(c_269664,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK2)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269634,c_106,c_269050]) ).
tcf(c_269670,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK2)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269636,c_106,c_248101,c_269050]) ).
tcf(c_269680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK2),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269125,c_265328]) ).
tcf(c_269683,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ( sdtasdt0(sdtpldt0(xn,sK2),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_269125,c_94]) ).
tcf(c_269685,plain,
( doDivides0(sdtpldt0(xn,sK2),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269125,c_145]) ).
tcf(c_269687,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK2),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269125,c_90]) ).
tcf(c_269689,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK2),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269125,c_90]) ).
tcf(c_269692,plain,
doDivides0(sdtpldt0(xn,sK2),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_269685,c_106,c_269050]) ).
tcf(c_269693,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK2),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269683,c_106,c_269050]) ).
tcf(c_269698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK2),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269689,c_106,c_269050]) ).
tcf(c_269704,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK2),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269687,c_106,c_269050]) ).
tcf(c_269710,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK2),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269680,c_106,c_248101,c_269050]) ).
tcf(c_269748,plain,
( ( sdtpldt0(xn,sK2) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK2),sdtsldt0(sz00,sdtpldt0(xn,sK2))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269692,c_109]) ).
tcf(c_269749,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK2),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269692,c_102]) ).
tcf(c_269750,plain,
( ( sdtasdt0(sdtpldt0(xn,sK2),sK4(sdtpldt0(xn,sK2),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269692,c_105]) ).
tcf(c_269751,plain,
sdtasdt0(sdtpldt0(xn,sK2),sK4(sdtpldt0(xn,sK2),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_269750,c_106,c_269050]) ).
tcf(c_269752,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK2),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269749,c_106,c_269050]) ).
tcf(c_269756,plain,
( ( sdtpldt0(xn,sK2) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK2),sdtsldt0(sz00,sdtpldt0(xn,sK2))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269748,c_106,c_269050]) ).
tcf(c_269785,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(X0,sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269158,c_112]) ).
tcf(c_269786,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,sK2))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269158,c_259674]) ).
tcf(c_269787,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(superposition,[status(thm)],[c_269158,c_256023]) ).
tcf(c_269788,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xn,sK2))),xp) = sK3(xq,sdtpldt0(xn,sK2)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269158,c_249177]) ).
tcf(c_269790,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtpldt0(xn,sK2) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),xq) ),
inference(superposition,[status(thm)],[c_269158,c_113]) ).
tcf(c_269791,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtpldt0(xq,sK3(xq,sdtpldt0(xn,sK2))) = sdtpldt0(xn,sK2) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269158,c_76]) ).
tcf(c_269792,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtpldt0(xq,sK3(xq,sdtpldt0(xn,sK2))) = sdtpldt0(xn,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269791,c_62,c_269050]) ).
tcf(c_269795,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtpldt0(xn,sK2) = xq )
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269790,c_62,c_269050]) ).
tcf(c_269799,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(X0,sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269785,c_62,c_269050]) ).
tcf(c_269804,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xn,sK2))),xp) = sK3(xq,sdtpldt0(xn,sK2)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269788,c_62,c_269050]) ).
tcf(c_269807,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269787,c_62,c_269050]) ).
tcf(c_269812,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,sK2))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269786,c_62,c_269050]) ).
tcf(c_269818,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_269390,c_145344,c_269390]) ).
tcf(c_269819,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_269818]) ).
tcf(c_269825,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269819,c_87]) ).
tcf(c_269838,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_111,c_269825]) ).
tcf(c_269842,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269838,c_106]) ).
tcf(c_269856,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_111,c_269807]) ).
tcf(c_269858,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269856,c_106,c_269050]) ).
tcf(c_269874,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(sz00,sz00) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ sdtlseqdt0(sK3(sz00,sz00),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248465,c_261414]) ).
tcf(c_269882,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl))
| ~ sdtlseqdt0(sK3(sz00,xl),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248475,c_261414]) ).
tcf(c_269883,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ sdtlseqdt0(sK3(sz00,xm),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248474,c_261414]) ).
tcf(c_269884,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ sdtlseqdt0(sK3(sz00,xn),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248473,c_261414]) ).
tcf(c_269885,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ sdtlseqdt0(sK3(sz00,xq),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248471,c_261414]) ).
tcf(c_269886,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ sdtlseqdt0(sK3(sz00,xp),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248470,c_261414]) ).
tcf(c_269887,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ sdtlseqdt0(sK3(sz00,sK2),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_248469,c_261414]) ).
tcf(c_269889,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK3(xq,xp))
| ( sK3(sz00,sdtasdt0(xl,xq)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK3(sz00,sdtasdt0(xl,xq)),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_249073,c_261414]) ).
tcf(c_269898,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X1,sK3(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1)) ),
inference(superposition,[status(thm)],[c_261414,c_112]) ).
tcf(c_269899,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_261414,c_259674]) ).
tcf(c_269900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),sz00)
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_261414,c_256023]) ).
tcf(c_269901,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(sz00,X0),sK3(xq,xp))),xp) = sK3(sdtpldt0(sz00,X0),sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_261414,c_249177]) ).
tcf(c_269902,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_261414,c_249154]) ).
tcf(c_269903,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_261414,c_113]) ).
tcf(c_269904,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK3(sdtpldt0(sz00,X0),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_261414,c_76]) ).
tcf(c_269905,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_261414,c_251249]) ).
tcf(c_270041,plain,
( sdtlseqdt0(sK3(xq,xp),sz00)
| ( sK3(sz00,sz00) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_248465,c_261420]) ).
tcf(c_270049,plain,
( sdtlseqdt0(sK3(xq,xp),xl)
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(sz00,xl)) ),
inference(superposition,[status(thm)],[c_248475,c_261420]) ).
tcf(c_270050,plain,
( sdtlseqdt0(sK3(xq,xp),xm)
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(sz00,xm)) ),
inference(superposition,[status(thm)],[c_248474,c_261420]) ).
tcf(c_270051,plain,
( sdtlseqdt0(sK3(xq,xp),xn)
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_248473,c_261420]) ).
tcf(c_270052,plain,
( sdtlseqdt0(sK3(xq,xp),xq)
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_248471,c_261420]) ).
tcf(c_270053,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(sz00,xp)) ),
inference(superposition,[status(thm)],[c_248470,c_261420]) ).
tcf(c_270054,plain,
( sdtlseqdt0(sK3(xq,xp),sK2)
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_248469,c_261420]) ).
tcf(c_270056,plain,
( sdtlseqdt0(sK3(xq,xp),sdtasdt0(xl,xq))
| ( sK3(sz00,sdtasdt0(xl,xq)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK3(xq,xp),sK3(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249073,c_261420]) ).
tcf(c_270065,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X1,sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_261420,c_112]) ).
tcf(c_270066,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_261420,c_259674]) ).
tcf(c_270067,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_261420,c_256023]) ).
tcf(c_270068,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),sdtpldt0(sz00,X0))),xp) = sK3(sK3(xq,xp),sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_261420,c_249177]) ).
tcf(c_270069,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_261420,c_249154]) ).
tcf(c_270070,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_261420,c_113]) ).
tcf(c_270071,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_261420,c_76]) ).
tcf(c_270072,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,X0)),sz00) ),
inference(superposition,[status(thm)],[c_261420,c_265990]) ).
tcf(c_270073,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_261420,c_260194]) ).
tcf(c_270074,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_261420,c_256026]) ).
tcf(c_270075,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,X0)))
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_261420,c_251344]) ).
tcf(c_270270,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_270074,c_145349,c_252427,c_270074]) ).
tcf(c_270271,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(renaming,[status(thm)],[c_270270]) ).
tcf(c_270284,plain,
! [X0: $i] :
( ( sdtpldt0(sK3(xq,xp),X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK3(xq,xp),X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK3(xq,xp),X0)),sz00) ),
inference(superposition,[status(thm)],[c_148,c_270271]) ).
tcf(c_270285,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK3(xq,xp),X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK3(xq,xp),X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(sK3(xq,xp),X0)),sz00) ),
inference(superposition,[status(thm)],[c_88,c_270271]) ).
tcf(c_270287,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_111,c_270271]) ).
tcf(c_270288,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xq),sz00) ),
inference(superposition,[status(thm)],[c_256946,c_270271]) ).
tcf(c_270289,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_250649,c_270271]) ).
tcf(c_270290,plain,
( ( sK3(xq,xp) = xp )
| ( sdtpldt0(xq,sK3(xq,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_249145,c_270271]) ).
tcf(c_270291,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_249119,c_270271]) ).
tcf(c_270292,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xl),sz00) ),
inference(superposition,[status(thm)],[c_257381,c_270271]) ).
tcf(c_270293,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00) ),
inference(superposition,[status(thm)],[c_258432,c_270271]) ).
tcf(c_270294,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00) ),
inference(superposition,[status(thm)],[c_257290,c_270271]) ).
tcf(c_270295,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00) ),
inference(superposition,[status(thm)],[c_256315,c_270271]) ).
tcf(c_270296,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xn),sz00) ),
inference(superposition,[status(thm)],[c_257199,c_270271]) ).
tcf(c_270297,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2),sz00) ),
inference(superposition,[status(thm)],[c_256429,c_270271]) ).
tcf(c_270298,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_253115,c_270271]) ).
tcf(c_270304,plain,
( ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_267274,c_270271]) ).
tcf(c_270305,plain,
! [X0: $i] :
( ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,X0)),sz00) ),
inference(superposition,[status(thm)],[c_261420,c_270271]) ).
tcf(c_270306,plain,
! [X0: $i] :
( ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ( sK3(sz00,sK3(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),X0)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,X0)),sz00) ),
inference(superposition,[status(thm)],[c_261342,c_270271]) ).
tcf(c_270307,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(sz00,sK3(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK3(sz00,sK3(xq,xp)))),sz00) ),
inference(superposition,[status(thm)],[c_262330,c_270271]) ).
tcf(c_270308,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK3(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_269369,c_270271]) ).
tcf(c_270309,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(X0,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK3(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_262518,c_270271]) ).
tcf(c_270310,plain,
( ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_270304,c_247986]) ).
tcf(c_270320,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_270295,c_247984]) ).
tcf(c_270321,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_270294,c_247984]) ).
tcf(c_270322,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_270293,c_247984]) ).
tcf(c_270323,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xl,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_270292,c_247983]) ).
tcf(c_270324,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_270291,c_247986]) ).
tcf(c_270325,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_270289,c_247986]) ).
tcf(c_270333,plain,
( ( sK3(xq,xp) = xp )
| ( sdtpldt0(xq,sK3(xq,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_270290,c_247986]) ).
tcf(c_270420,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_111,c_270287]) ).
tcf(c_270422,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247978,c_270287]) ).
tcf(c_270423,plain,
( sdtlseqdt0(sK3(sz00,sz00),sK3(xq,xp))
| ( sK3(sz00,sz00) = sK3(xq,xp) )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_248465,c_270287]) ).
tcf(c_270426,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247985,c_270287]) ).
tcf(c_270428,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247987,c_270287]) ).
tcf(c_270429,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ( sK3(xq,xp) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247988,c_270287]) ).
tcf(c_270433,plain,
( sdtlseqdt0(sK3(sz00,xn),sK3(xq,xp))
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_248473,c_270287]) ).
tcf(c_270434,plain,
( sdtlseqdt0(sK3(sz00,xq),sK3(xq,xp))
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_248471,c_270287]) ).
tcf(c_270436,plain,
( sdtlseqdt0(sK3(sz00,sK2),sK3(xq,xp))
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_248469,c_270287]) ).
tcf(c_270439,plain,
( sdtlseqdt0(sK3(sz00,sK3(xq,xp)),sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),sz00)
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_255422,c_270287]) ).
tcf(c_270447,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ( sK3(xq,xp) = sK2 )
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270429,c_65]) ).
tcf(c_270452,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = xq )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270428,c_62]) ).
tcf(c_270457,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(xq,xp) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270426,c_51]) ).
tcf(c_270478,plain,
( sdtlseqdt0(sK3(sz00,sz00),sK3(xq,xp))
| ( sK3(sz00,sz00) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270423,c_248101]) ).
tcf(c_270483,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270420,c_106]) ).
tcf(c_270519,plain,
( aNaturalNumber0(sK3(sz00,xl))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,xl)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,xl))) ),
inference(superposition,[status(thm)],[c_250841,c_108]) ).
tcf(c_270520,plain,
( aNaturalNumber0(sK3(sz00,xl))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,xl)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,xl))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270519,c_38242,c_59]) ).
tcf(c_270524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xp)),sdtpldt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268140,c_73]) ).
tcf(c_270534,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268140,c_73]) ).
tcf(c_270535,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_268140,c_79]) ).
tcf(c_270536,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_268140,c_71]) ).
tcf(c_270537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268140,c_71]) ).
tcf(c_270539,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(X0,sdtpldt0(xn,xp)) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_268140,c_80]) ).
tcf(c_270546,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xn,xp) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_268140,c_255973]) ).
tcf(c_270547,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,xp)) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270539,c_106,c_268056]) ).
tcf(c_270551,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270535,c_106,c_268056]) ).
tcf(c_270555,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270534,c_106,c_268056]) ).
tcf(c_270561,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270537,c_106,c_268056]) ).
tcf(c_270566,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270536,c_106,c_268056]) ).
tcf(c_270571,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xn,xp) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270546,c_268056]) ).
tcf(c_270575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268141,c_73]) ).
tcf(c_270583,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268141,c_148]) ).
tcf(c_270585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_268141,c_73]) ).
tcf(c_270586,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(sdtpldt0(xn,xp),X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_268141,c_79]) ).
tcf(c_270587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268141,c_71]) ).
tcf(c_270588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268141,c_71]) ).
tcf(c_270590,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_268141,c_80]) ).
tcf(c_270591,plain,
sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_270583,c_106,c_268056]) ).
tcf(c_270592,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270590,c_106,c_268056]) ).
tcf(c_270596,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xp),X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270586,c_106,c_268056]) ).
tcf(c_270601,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270587,c_106,c_268056]) ).
tcf(c_270606,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270585,c_106,c_268056]) ).
tcf(c_270611,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270575,c_106,c_268056]) ).
tcf(c_270628,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xn,xp),sdtpldt0(xn,xp))),xp) = sK3(sdtpldt0(xn,xp),sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_270591,c_249177]) ).
tcf(c_270631,plain,
( ( sdtpldt0(sdtpldt0(xn,xp),sK3(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_270591,c_76]) ).
tcf(c_270632,plain,
sdtpldt0(sdtpldt0(xn,xp),sK3(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_270631,c_268056]) ).
tcf(c_270633,plain,
sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xn,xp),sdtpldt0(xn,xp))),xp) = sK3(sdtpldt0(xn,xp),sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_270628,c_268056]) ).
tcf(c_270637,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_268873,c_73]) ).
tcf(c_270638,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xq)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_268873,c_264696]) ).
tcf(c_270639,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268873,c_264358]) ).
tcf(c_270640,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_268873,c_262239]) ).
tcf(c_270645,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268873,c_148]) ).
tcf(c_270647,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_268873,c_73]) ).
tcf(c_270648,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_268873,c_79]) ).
tcf(c_270649,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_268873,c_71]) ).
tcf(c_270650,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_268873,c_71]) ).
tcf(c_270652,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_268873,c_80]) ).
tcf(c_270653,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK3(xq,xp))
| ( sdtpldt0(xn,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_268873,c_270287]) ).
tcf(c_270659,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xn,xq) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_268873,c_255973]) ).
tcf(c_270660,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_270645,c_106,c_268778]) ).
tcf(c_270662,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,xq)) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270652,c_106,c_268778]) ).
tcf(c_270666,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270648,c_106,c_268778]) ).
tcf(c_270670,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_270647,c_106,c_268778]) ).
tcf(c_270676,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_270650,c_106,c_268778]) ).
tcf(c_270681,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_270649,c_106,c_268778]) ).
tcf(c_270686,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xn,xq) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270659,c_268778]) ).
tcf(c_270690,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK3(xq,xp))
| ( sdtpldt0(xn,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270653,c_268778]) ).
tcf(c_270696,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270639,c_106,c_268778]) ).
tcf(c_270726,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_270660,c_112]) ).
tcf(c_270729,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xn,xq))),xp) = sK3(sz00,sdtpldt0(xn,xq)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_270660,c_249177]) ).
tcf(c_270731,plain,
( ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_270660,c_113]) ).
tcf(c_270732,plain,
( ( sdtpldt0(sz00,sK3(sz00,sdtpldt0(xn,xq))) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_270660,c_76]) ).
tcf(c_270733,plain,
sdtpldt0(sz00,sK3(sz00,sdtpldt0(xn,xq))) = sdtpldt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_270732,c_106,c_268778]) ).
tcf(c_270734,plain,
( ( sdtpldt0(xn,xq) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270731,c_106,c_268778]) ).
tcf(c_270737,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270726,c_106,c_268778]) ).
tcf(c_270741,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xn,xq))),xp) = sK3(sz00,sdtpldt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_270729,c_106,c_268778]) ).
tcf(c_270742,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_268874,c_73]) ).
tcf(c_270743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK3(xq,xp))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268874,c_264696]) ).
tcf(c_270744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_268874,c_264358]) ).
tcf(c_270745,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_268874,c_262239]) ).
tcf(c_270750,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268874,c_148]) ).
tcf(c_270752,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_268874,c_73]) ).
tcf(c_270753,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_268874,c_79]) ).
tcf(c_270754,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_268874,c_71]) ).
tcf(c_270755,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_268874,c_71]) ).
tcf(c_270757,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_268874,c_80]) ).
tcf(c_270758,plain,
sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_270750,c_106,c_268778]) ).
tcf(c_270759,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270757,c_106,c_268778]) ).
tcf(c_270763,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xq),X0) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270753,c_106,c_268778]) ).
tcf(c_270767,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270745,c_106,c_268778]) ).
tcf(c_270772,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_270754,c_106,c_268778]) ).
tcf(c_270777,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_270752,c_106,c_268778]) ).
tcf(c_270782,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_270742,c_106,c_268778]) ).
tcf(c_270788,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK3(xq,xp))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270743,c_106,c_268778]) ).
tcf(c_270859,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_270758,c_256023]) ).
tcf(c_270860,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xn,xq),sdtpldt0(xn,xq))),xp) = sK3(sdtpldt0(xn,xq),sdtpldt0(xn,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_270758,c_249177]) ).
tcf(c_270863,plain,
( ( sdtpldt0(sdtpldt0(xn,xq),sK3(sdtpldt0(xn,xq),sdtpldt0(xn,xq))) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_270758,c_76]) ).
tcf(c_270864,plain,
sdtpldt0(sdtpldt0(xn,xq),sK3(sdtpldt0(xn,xq),sdtpldt0(xn,xq))) = sdtpldt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_270863,c_268778]) ).
tcf(c_270866,plain,
sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xn,xq),sdtpldt0(xn,xq))),xp) = sK3(sdtpldt0(xn,xq),sdtpldt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_270860,c_268778]) ).
tcf(c_270867,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK2)),sdtpldt0(xn,sK2))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269126,c_73]) ).
tcf(c_270868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK2)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(superposition,[status(thm)],[c_269126,c_264696]) ).
tcf(c_270869,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sdtpldt0(xn,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269126,c_264358]) ).
tcf(c_270870,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(superposition,[status(thm)],[c_269126,c_262239]) ).
tcf(c_270875,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269126,c_148]) ).
tcf(c_270877,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK2),sdtpldt0(X0,sdtpldt0(xn,sK2)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269126,c_73]) ).
tcf(c_270878,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK2) ) ),
inference(superposition,[status(thm)],[c_269126,c_79]) ).
tcf(c_270879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK2),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),X0) ),
inference(superposition,[status(thm)],[c_269126,c_71]) ).
tcf(c_270880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK2))
| ( sdtpldt0(xn,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269126,c_71]) ).
tcf(c_270882,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ( sdtpldt0(X0,sdtpldt0(xn,sK2)) != sdtpldt0(xn,sK2) ) ),
inference(superposition,[status(thm)],[c_269126,c_80]) ).
tcf(c_270883,plain,
( sdtlseqdt0(sdtpldt0(xn,sK2),sK3(xq,xp))
| ( sdtpldt0(xn,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(superposition,[status(thm)],[c_269126,c_270287]) ).
tcf(c_270889,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xn,sK2) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xn,sK2) != sK3(xq,xp) ) ),
inference(superposition,[status(thm)],[c_269126,c_255973]) ).
tcf(c_270890,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_270875,c_106,c_269050]) ).
tcf(c_270892,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,sK2)) != sdtpldt0(xn,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270882,c_106,c_269050]) ).
tcf(c_270896,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270878,c_106,c_269050]) ).
tcf(c_270900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK2),sdtpldt0(X0,sdtpldt0(xn,sK2)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270877,c_106,c_269050]) ).
tcf(c_270906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK2))
| ( sdtpldt0(xn,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270880,c_106,c_269050]) ).
tcf(c_270911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK2),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270879,c_106,c_269050]) ).
tcf(c_270916,plain,
( ( sK3(sz00,sK3(xq,xp)) = sdtpldt0(xn,sK2) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sdtpldt0(xn,sK2) != sK3(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270889,c_269050]) ).
tcf(c_270920,plain,
( sdtlseqdt0(sdtpldt0(xn,sK2),sK3(xq,xp))
| ( sdtpldt0(xn,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270883,c_269050]) ).
tcf(c_270926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sdtpldt0(xn,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270869,c_106,c_269050]) ).
tcf(c_270933,plain,
( ~ aNaturalNumber0(sK3(xq,xp))
| ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) ) ),
inference(global_subsumption_just,[status(thm)],[c_270439,c_145332,c_262218]) ).
tcf(c_270934,plain,
( ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(renaming,[status(thm)],[c_270933]) ).
tcf(c_270939,plain,
( ( sK3(sz00,sK3(xq,xp)) = sK3(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_75,c_270934]) ).
tcf(c_270940,plain,
sK3(sz00,sK3(xq,xp)) = sK3(xq,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_270939,c_62,c_59,c_248128]) ).
tcf(c_270945,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(X0,sK3(xq,xp)),sz00) ),
inference(demodulation,[status(thm)],[c_265937,c_270940]) ).
tcf(c_270948,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X0))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(demodulation,[status(thm)],[c_261342,c_270940]) ).
tcf(c_270949,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(demodulation,[status(thm)],[c_261341,c_270940]) ).
tcf(c_270955,plain,
( aNaturalNumber0(sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xq,xp)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xq,xp))) ),
inference(demodulation,[status(thm)],[c_261953,c_270940]) ).
tcf(c_271004,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_111,c_270298]) ).
tcf(c_271006,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247978,c_270298]) ).
tcf(c_271007,plain,
( sdtlseqdt0(sdtpldt0(xq,sK3(sz00,sz00)),xp)
| ( sK3(sz00,sz00) = sK3(xq,xp) )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_248465,c_270298]) ).
tcf(c_271017,plain,
( sdtlseqdt0(sdtpldt0(xq,sK3(sz00,xn)),xp)
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_248473,c_270298]) ).
tcf(c_271018,plain,
( sdtlseqdt0(sdtpldt0(xq,sK3(sz00,xq)),xp)
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_248471,c_270298]) ).
tcf(c_271020,plain,
( sdtlseqdt0(sdtpldt0(xq,sK3(sz00,sK2)),xp)
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_248469,c_270298]) ).
tcf(c_271031,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xq)),xp)
| ( sdtpldt0(xn,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_268873,c_270298]) ).
tcf(c_271032,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK2)),xp)
| ( sdtpldt0(xn,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(superposition,[status(thm)],[c_269126,c_270298]) ).
tcf(c_271033,plain,
( sdtlseqdt0(xq,xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_271006,c_247976]) ).
tcf(c_271049,plain,
( sdtlseqdt0(sdtpldt0(xq,sK3(sz00,sz00)),xp)
| ( sK3(sz00,sz00) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271007,c_248101]) ).
tcf(c_271054,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK2)),xp)
| ( sdtpldt0(xn,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271032,c_269050]) ).
tcf(c_271059,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xq)),xp)
| ( sdtpldt0(xn,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271031,c_268778]) ).
tcf(c_271064,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271004,c_106]) ).
tcf(c_271073,plain,
( aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,sdtasdt0(xl,xq))))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_250858,c_108]) ).
tcf(c_271074,plain,
( aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sz00,sdtasdt0(xl,xq))))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sz00,sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271073,c_38242,c_59]) ).
tcf(c_271078,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_270890,c_112]) ).
tcf(c_271081,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xn,sK2))),xp) = sK3(sz00,sdtpldt0(xn,sK2)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_270890,c_249177]) ).
tcf(c_271083,plain,
( ( sdtpldt0(xn,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(superposition,[status(thm)],[c_270890,c_113]) ).
tcf(c_271084,plain,
( ( sdtpldt0(sz00,sK3(sz00,sdtpldt0(xn,sK2))) = sdtpldt0(xn,sK2) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_270890,c_76]) ).
tcf(c_271085,plain,
sdtpldt0(sz00,sK3(sz00,sdtpldt0(xn,sK2))) = sdtpldt0(xn,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_271084,c_106,c_269050]) ).
tcf(c_271086,plain,
( ( sdtpldt0(xn,sK2) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271083,c_106,c_269050]) ).
tcf(c_271089,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271078,c_106,c_269050]) ).
tcf(c_271093,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xn,sK2))),xp) = sK3(sz00,sdtpldt0(xn,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_271081,c_106,c_269050]) ).
tcf(c_271094,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK2))
| ( sdtpldt0(xn,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269127,c_73]) ).
tcf(c_271095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK3(xq,xp))
| ( sdtpldt0(xn,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269127,c_264696]) ).
tcf(c_271096,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK2),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(superposition,[status(thm)],[c_269127,c_264358]) ).
tcf(c_271097,plain,
( sdtlseqdt0(sdtpldt0(xn,sK2),sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(superposition,[status(thm)],[c_269127,c_262239]) ).
tcf(c_271102,plain,
( sdtlseqdt0(sdtpldt0(xn,sK2),sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269127,c_148]) ).
tcf(c_271104,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK2),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),X0) ),
inference(superposition,[status(thm)],[c_269127,c_73]) ).
tcf(c_271105,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ( sdtpldt0(sdtpldt0(xn,sK2),X0) != sdtpldt0(xn,sK2) ) ),
inference(superposition,[status(thm)],[c_269127,c_79]) ).
tcf(c_271106,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK2),sdtpldt0(sdtpldt0(xn,sK2),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269127,c_71]) ).
tcf(c_271107,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK2),X0),sdtpldt0(xn,sK2))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269127,c_71]) ).
tcf(c_271109,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK2) ) ),
inference(superposition,[status(thm)],[c_269127,c_80]) ).
tcf(c_271110,plain,
sdtlseqdt0(sdtpldt0(xn,sK2),sdtpldt0(xn,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_271102,c_106,c_269050]) ).
tcf(c_271111,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271109,c_106,c_269050]) ).
tcf(c_271115,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,sK2),X0) != sdtpldt0(xn,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271105,c_106,c_269050]) ).
tcf(c_271119,plain,
( sdtlseqdt0(sdtpldt0(xn,sK2),sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271097,c_106,c_269050]) ).
tcf(c_271124,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK2),sdtpldt0(sdtpldt0(xn,sK2),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271106,c_106,c_269050]) ).
tcf(c_271129,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK2),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271104,c_106,c_269050]) ).
tcf(c_271134,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK2))
| ( sdtpldt0(xn,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271094,c_106,c_269050]) ).
tcf(c_271140,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK3(xq,xp))
| ( sdtpldt0(xn,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271095,c_106,c_269050]) ).
tcf(c_271149,plain,
( sdtlseqdt0(sdtpldt0(xn,sK2),sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(superposition,[status(thm)],[c_271110,c_256023]) ).
tcf(c_271150,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xn,sK2),sdtpldt0(xn,sK2))),xp) = sK3(sdtpldt0(xn,sK2),sdtpldt0(xn,sK2)) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_271110,c_249177]) ).
tcf(c_271151,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK2))
| sdtlseqdt0(sdtpldt0(xn,sK2),xp)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_271110,c_249154]) ).
tcf(c_271153,plain,
( ( sdtpldt0(sdtpldt0(xn,sK2),sK3(sdtpldt0(xn,sK2),sdtpldt0(xn,sK2))) = sdtpldt0(xn,sK2) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_271110,c_76]) ).
tcf(c_271154,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK2))
| sdtlseqdt0(sdtpldt0(xn,sK2),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271151,c_269050]) ).
tcf(c_271157,plain,
sdtpldt0(sdtpldt0(xn,sK2),sK3(sdtpldt0(xn,sK2),sdtpldt0(xn,sK2))) = sdtpldt0(xn,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_271153,c_269050]) ).
tcf(c_271159,plain,
sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xn,sK2),sdtpldt0(xn,sK2))),xp) = sK3(sdtpldt0(xn,sK2),sdtpldt0(xn,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_271150,c_269050]) ).
tcf(c_271168,plain,
sdtpldt0(xp,xq) = sdtpldt0(xq,xp),
inference(superposition,[status(thm)],[c_62,c_248166]) ).
tcf(c_271169,plain,
sdtpldt0(xp,sK2) = sdtpldt0(sK2,xp),
inference(superposition,[status(thm)],[c_65,c_248166]) ).
tcf(c_271170,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(xp,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87,c_248166]) ).
tcf(c_271171,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),xp) = sdtpldt0(xp,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_248166]) ).
tcf(c_271172,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xp) = sdtpldt0(xp,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_248166]) ).
tcf(c_271173,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK4(X0,X1),xp) = sdtpldt0(xp,sK4(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_248166]) ).
tcf(c_271174,plain,
sdtpldt0(sz00,xp) = sdtpldt0(xp,sz00),
inference(superposition,[status(thm)],[c_106,c_248166]) ).
tcf(c_271175,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_108,c_248166]) ).
tcf(c_271176,plain,
sdtpldt0(sdtasdt0(xl,xq),xp) = sdtpldt0(xp,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_248038,c_248166]) ).
tcf(c_271177,plain,
sdtpldt0(sdtpldt0(xm,xl),xp) = sdtpldt0(xp,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_258822,c_248166]) ).
tcf(c_271178,plain,
sdtpldt0(sdtpldt0(xl,xn),xp) = sdtpldt0(xp,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_259154,c_248166]) ).
tcf(c_271179,plain,
sdtpldt0(sdtpldt0(xl,xp),xp) = sdtpldt0(xp,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_259440,c_248166]) ).
tcf(c_271180,plain,
sdtpldt0(sdtpldt0(xl,xq),xp) = sdtpldt0(xp,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_260391,c_248166]) ).
tcf(c_271181,plain,
sdtpldt0(sdtpldt0(xl,sK2),xp) = sdtpldt0(xp,sdtpldt0(xl,sK2)),
inference(superposition,[status(thm)],[c_260585,c_248166]) ).
tcf(c_271182,plain,
sdtpldt0(sdtpldt0(xm,xp),xp) = sdtpldt0(xp,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_266234,c_248166]) ).
tcf(c_271183,plain,
sdtpldt0(sdtpldt0(xm,xq),xp) = sdtpldt0(xp,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_266559,c_248166]) ).
tcf(c_271184,plain,
sdtpldt0(sdtpldt0(xn,xp),xp) = sdtpldt0(xp,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_268056,c_248166]) ).
tcf(c_271185,plain,
sdtpldt0(sdtpldt0(xn,xq),xp) = sdtpldt0(xp,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_268778,c_248166]) ).
tcf(c_271186,plain,
sdtpldt0(sdtpldt0(xn,sK2),xp) = sdtpldt0(xp,sdtpldt0(xn,sK2)),
inference(superposition,[status(thm)],[c_269050,c_248166]) ).
tcf(c_271682,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_271168,c_73]) ).
tcf(c_271683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sK3(xq,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_271168,c_264696]) ).
tcf(c_271684,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK3(xq,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_271168,c_264358]) ).
tcf(c_271685,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_271168,c_262239]) ).
tcf(c_271688,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_271168,c_78]) ).
tcf(c_271689,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_271168,c_77]) ).
tcf(c_271690,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_271168,c_148]) ).
tcf(c_271691,plain,
( aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_271168,c_87]) ).
tcf(c_271692,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_271168,c_73]) ).
tcf(c_271693,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_271168,c_79]) ).
tcf(c_271694,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_271168,c_71]) ).
tcf(c_271695,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_271168,c_71]) ).
tcf(c_271696,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_271168,c_101]) ).
tcf(c_271697,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_271168,c_80]) ).
tcf(c_271700,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xp,xq))
| ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_271168,c_253184]) ).
tcf(c_271701,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_271168,c_253115]) ).
tcf(c_271702,plain,
( ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(xp,xq) != xp ) ),
inference(superposition,[status(thm)],[c_271168,c_249523]) ).
tcf(c_271703,plain,
aNaturalNumber0(sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_271691,c_62,c_59]) ).
tcf(c_271704,plain,
sdtlseqdt0(xq,sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_271690,c_62,c_59]) ).
tcf(c_271708,plain,
sdtpldt0(xp,xq) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_271688,c_38242,c_62,c_59]) ).
tcf(c_271709,plain,
( ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sdtpldt0(xp,xq) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271702,c_59]) ).
tcf(c_271713,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271697,c_62,c_59]) ).
tcf(c_271717,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271696,c_62,c_59]) ).
tcf(c_271722,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271693,c_62,c_59]) ).
tcf(c_271726,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271685,c_62,c_59]) ).
tcf(c_271730,plain,
( sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271701,c_59]) ).
tcf(c_271735,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xp,xq))
| ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271700,c_59]) ).
tcf(c_271740,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xp,xq))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271695,c_62,c_59]) ).
tcf(c_271745,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(xq,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271694,c_62,c_59]) ).
tcf(c_271750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(X0,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271692,c_62,c_59]) ).
tcf(c_271755,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271682,c_62,c_59]) ).
tcf(c_271760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK3(xq,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271684,c_62,c_59]) ).
tcf(c_271767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sK3(xq,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271683,c_62,c_59]) ).
tcf(c_271774,plain,
sdtpldt0(sdtpldt0(xp,xq),xp) = sdtpldt0(xp,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_271703,c_248166]) ).
tcf(c_271775,plain,
sdtpldt0(sdtpldt0(xp,xq),xn) = sdtpldt0(xn,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_271703,c_248165]) ).
tcf(c_271776,plain,
sdtpldt0(sdtpldt0(xp,xq),xm) = sdtpldt0(xm,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_271703,c_248164]) ).
tcf(c_271777,plain,
sdtpldt0(sdtpldt0(xp,xq),xl) = sdtpldt0(xl,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_271703,c_248163]) ).
tcf(c_271778,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtpldt0(xp,xq),X0)),xp) = sdtasdt0(sdtpldt0(xp,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_271703,c_249178]) ).
tcf(c_271779,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtpldt0(xp,xq),X0)),xp) = sdtpldt0(sdtpldt0(xp,xq),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_271703,c_249176]) ).
tcf(c_271780,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xp,xq)),sdtasdt0(X0,sdtpldt0(xp,xq))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xp,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_271703,c_82]) ).
tcf(c_271781,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xq),X1),sdtasdt0(sdtpldt0(xp,xq),X0)) = sdtasdt0(sdtpldt0(xp,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_271703,c_81]) ).
tcf(c_271782,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xq),X1),X0) = sdtasdt0(sdtpldt0(xp,xq),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_271703,c_98]) ).
tcf(c_271783,plain,
sdtsldt0(sdtasdt0(xp,sdtpldt0(xp,xq)),xp) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_271703,c_248772]) ).
tcf(c_271784,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xq),X1),X0) = sdtpldt0(sdtpldt0(xp,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_271703,c_85]) ).
tcf(c_271785,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,xq),X0),sdtpldt0(xp,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_271703,c_155]) ).
tcf(c_271786,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xq),X0) = sdtasdt0(X0,sdtpldt0(xp,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_271703,c_99]) ).
tcf(c_271787,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xq),X0) = sdtpldt0(X0,sdtpldt0(xp,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_271703,c_86]) ).
tcf(c_271788,plain,
sdtasdt0(sz00,sdtpldt0(xp,xq)) = sz00,
inference(superposition,[status(thm)],[c_271703,c_97]) ).
tcf(c_271789,plain,
sdtasdt0(sdtpldt0(xp,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_271703,c_96]) ).
tcf(c_271790,plain,
sdtpldt0(sz00,sdtpldt0(xp,xq)) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_271703,c_84]) ).
tcf(c_271791,plain,
sdtpldt0(sdtpldt0(xp,xq),sz00) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_271703,c_83]) ).
tcf(c_271863,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_271704,c_112]) ).
tcf(c_271864,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,xq))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_271704,c_259674]) ).
tcf(c_271865,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_271704,c_256023]) ).
tcf(c_271866,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xp,xq))),xp) = sK3(xq,sdtpldt0(xp,xq)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_271704,c_249177]) ).
tcf(c_271868,plain,
( ( sdtpldt0(xp,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),xq) ),
inference(superposition,[status(thm)],[c_271704,c_113]) ).
tcf(c_271869,plain,
( ( sdtpldt0(xq,sK3(xq,sdtpldt0(xp,xq))) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_271704,c_76]) ).
tcf(c_271870,plain,
sdtpldt0(xq,sK3(xq,sdtpldt0(xp,xq))) = sdtpldt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_271869,c_62,c_271703]) ).
tcf(c_271871,plain,
( ( sdtpldt0(xp,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271868,c_62,c_271703]) ).
tcf(c_271874,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271863,c_62,c_271703]) ).
tcf(c_271878,plain,
sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xp,xq))),xp) = sK3(xq,sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_271866,c_62,c_271703]) ).
tcf(c_271880,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,xq))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271864,c_62,c_271703]) ).
tcf(c_271903,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X1,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_112]) ).
tcf(c_271904,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_259674]) ).
tcf(c_271905,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(X1,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_256023]) ).
tcf(c_271906,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X1)),xp) = sK3(sz00,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_249177]) ).
tcf(c_271908,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK3(xq,xp))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_113]) ).
tcf(c_271909,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,X1)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_76]) ).
tcf(c_271911,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_249160]) ).
tcf(c_271915,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_257908]) ).
tcf(c_271916,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sK3(xq,xp))),xp) = sK3(sz00,sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_259015]) ).
tcf(c_271917,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_258342]) ).
tcf(c_271927,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_112]) ).
tcf(c_271928,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_259674]) ).
tcf(c_271929,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_256023]) ).
tcf(c_271930,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(X1,X0)),xp) = sK3(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_249177]) ).
tcf(c_271931,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_249154]) ).
tcf(c_271932,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( X0 = X1 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_113]) ).
tcf(c_271933,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X1,sK3(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_76]) ).
tcf(c_271937,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_249160]) ).
tcf(c_271945,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_269342]) ).
tcf(c_271946,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(X1,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_257908]) ).
tcf(c_271958,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_259696,c_270271]) ).
tcf(c_271959,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_260194]) ).
tcf(c_271960,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_256026]) ).
tcf(c_271962,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_259696,c_270298]) ).
tcf(c_271963,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_259696,c_270287]) ).
tcf(c_271966,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sK3(xq,xp))
| ( X0 = X2 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_259696,c_264696]) ).
tcf(c_271967,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sK3(xq,xp))
| ( X1 = X2 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_259696,c_264358]) ).
tcf(c_271968,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_259696,c_262239]) ).
tcf(c_271969,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sK3(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_259696,c_265596]) ).
tcf(c_271970,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sK3(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_259696,c_265328]) ).
tcf(c_271971,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_259696,c_262982]) ).
tcf(c_271972,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sK3(xq,xp),X0))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sK3(xq,xp),X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK3(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_259696,c_263595]) ).
tcf(c_271973,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(sK3(xq,xp),X0))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ( sdtasdt0(sK3(xq,xp),X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK3(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_259696,c_263622]) ).
tcf(c_271979,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(superposition,[status(thm)],[c_259696,c_269825]) ).
tcf(c_271984,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(xq,xm))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xm)) ),
inference(superposition,[status(thm)],[c_259696,c_262223]) ).
tcf(c_271986,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_112]) ).
tcf(c_271987,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_259674]) ).
tcf(c_271989,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_249177]) ).
tcf(c_271990,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_249154]) ).
tcf(c_271991,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_259696,c_113]) ).
tcf(c_271992,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_76]) ).
tcf(c_271993,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_249932]) ).
tcf(c_271998,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_251249]) ).
tcf(c_272003,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sz00)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(equality_factoring,[status(thm)],[c_259696]) ).
tcf(c_272004,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(equality_factoring,[status(thm)],[c_259696]) ).
tcf(c_272009,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sz00)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272003,c_106]) ).
tcf(c_272046,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK3(X0,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271945,c_106]) ).
tcf(c_272091,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271937,c_62]) ).
tcf(c_272148,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(X1,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271946,c_106]) ).
tcf(c_272158,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK3(sz00,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271909,c_106]) ).
tcf(c_272166,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK3(xq,xp))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271908,c_106]) ).
tcf(c_272176,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(xq,xm))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271984,c_106]) ).
tcf(c_272192,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(X1,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271905,c_106]) ).
tcf(c_272201,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X1,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271903,c_106]) ).
tcf(c_272218,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK3(xq,xp)))
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK3(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271979,c_106]) ).
tcf(c_272227,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,X1)),xp) = sK3(sz00,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271906,c_106]) ).
tcf(c_272236,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271963,c_106]) ).
tcf(c_272245,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271962,c_106]) ).
tcf(c_272257,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sK3(xq,xp))
| ( X1 = X2 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271967,c_106]) ).
tcf(c_272269,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sK3(xq,xp))
| ( X0 = X2 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271966,c_106]) ).
tcf(c_272281,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sK3(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271970,c_106]) ).
tcf(c_272294,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sK3(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_271969,c_106]) ).
tcf(c_272391,plain,
( ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,sz00) )
| ( sK3(xq,xp) != sz00 )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_261987,c_106,c_115,c_124,c_261987]) ).
tcf(c_272392,plain,
( ( sK3(sz00,sK3(xq,xp)) = sK3(sz00,sz00) )
| ~ aNaturalNumber0(sK3(sz00,sK3(xq,xp)))
| ( sK3(xq,xp) != sz00 ) ),
inference(renaming,[status(thm)],[c_272391]) ).
tcf(c_272393,plain,
( ( sK3(sz00,sz00) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sK3(xq,xp) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_272392,c_270940]) ).
tcf(c_272403,plain,
( aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq)))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xm,sdtasdt0(xl,xq))))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xm,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_250859,c_108]) ).
tcf(c_272404,plain,
( aNaturalNumber0(sK3(xm,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xm,sdtasdt0(xl,xq))))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xm,sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272403,c_38242,c_59]) ).
tcf(c_272408,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK2))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(superposition,[status(thm)],[c_271169,c_73]) ).
tcf(c_272409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),sz00) ),
inference(superposition,[status(thm)],[c_271169,c_264696]) ).
tcf(c_272410,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK3(xq,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),sz00) ),
inference(superposition,[status(thm)],[c_271169,c_264358]) ).
tcf(c_272411,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),sz00) ),
inference(superposition,[status(thm)],[c_271169,c_262239]) ).
tcf(c_272414,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK2) != sz00 ) ),
inference(superposition,[status(thm)],[c_271169,c_78]) ).
tcf(c_272415,plain,
( ( sz00 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,sK2) != sz00 ) ),
inference(superposition,[status(thm)],[c_271169,c_77]) ).
tcf(c_272416,plain,
( sdtlseqdt0(sK2,sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_271169,c_148]) ).
tcf(c_272417,plain,
( aNaturalNumber0(sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_271169,c_87]) ).
tcf(c_272418,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK2),sdtpldt0(X0,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(superposition,[status(thm)],[c_271169,c_73]) ).
tcf(c_272419,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK2,X0) != sdtpldt0(xp,sK2) ) ),
inference(superposition,[status(thm)],[c_271169,c_79]) ).
tcf(c_272420,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK2),sdtpldt0(sK2,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_271169,c_71]) ).
tcf(c_272421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sdtpldt0(xp,sK2))
| ( X0 = xp )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_271169,c_71]) ).
tcf(c_272422,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK2)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_271169,c_101]) ).
tcf(c_272423,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK2) ) ),
inference(superposition,[status(thm)],[c_271169,c_80]) ).
tcf(c_272424,plain,
aNaturalNumber0(sdtpldt0(xp,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_272417,c_65,c_59]) ).
tcf(c_272425,plain,
sdtlseqdt0(sK2,sdtpldt0(xp,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_272416,c_65,c_59]) ).
tcf(c_272429,plain,
sdtpldt0(xp,sK2) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_272414,c_38242,c_65,c_59]) ).
tcf(c_272430,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272423,c_65,c_59]) ).
tcf(c_272434,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK2)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272422,c_65,c_59]) ).
tcf(c_272439,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK2,X0) != sdtpldt0(xp,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272419,c_65,c_59]) ).
tcf(c_272443,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272411,c_65,c_59]) ).
tcf(c_272447,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sdtpldt0(xp,sK2))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272421,c_65,c_59]) ).
tcf(c_272452,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK2),sdtpldt0(sK2,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272420,c_65,c_59]) ).
tcf(c_272457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK2),sdtpldt0(X0,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272418,c_65,c_59]) ).
tcf(c_272462,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK2))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272408,c_65,c_59]) ).
tcf(c_272467,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK3(xq,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272410,c_65,c_59]) ).
tcf(c_272474,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272409,c_65,c_59]) ).
tcf(c_272504,plain,
sdtpldt0(sdtpldt0(xp,sK2),xp) = sdtpldt0(xp,sdtpldt0(xp,sK2)),
inference(superposition,[status(thm)],[c_272424,c_248166]) ).
tcf(c_272505,plain,
sdtpldt0(sdtpldt0(xp,sK2),xn) = sdtpldt0(xn,sdtpldt0(xp,sK2)),
inference(superposition,[status(thm)],[c_272424,c_248165]) ).
tcf(c_272506,plain,
sdtpldt0(sdtpldt0(xp,sK2),xm) = sdtpldt0(xm,sdtpldt0(xp,sK2)),
inference(superposition,[status(thm)],[c_272424,c_248164]) ).
tcf(c_272507,plain,
sdtpldt0(sdtpldt0(xp,sK2),xl) = sdtpldt0(xl,sdtpldt0(xp,sK2)),
inference(superposition,[status(thm)],[c_272424,c_248163]) ).
tcf(c_272508,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtpldt0(xp,sK2),X0)),xp) = sdtasdt0(sdtpldt0(xp,sK2),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_272424,c_249178]) ).
tcf(c_272509,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtpldt0(xp,sK2),X0)),xp) = sdtpldt0(sdtpldt0(xp,sK2),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_272424,c_249176]) ).
tcf(c_272510,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xp,sK2)),sdtasdt0(X0,sdtpldt0(xp,sK2))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xp,sK2)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_272424,c_82]) ).
tcf(c_272511,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sK2),X1),sdtasdt0(sdtpldt0(xp,sK2),X0)) = sdtasdt0(sdtpldt0(xp,sK2),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_272424,c_81]) ).
tcf(c_272512,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sK2),X1),X0) = sdtasdt0(sdtpldt0(xp,sK2),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_272424,c_98]) ).
tcf(c_272513,plain,
sdtsldt0(sdtasdt0(xp,sdtpldt0(xp,sK2)),xp) = sdtpldt0(xp,sK2),
inference(superposition,[status(thm)],[c_272424,c_248772]) ).
tcf(c_272514,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sK2),X1),X0) = sdtpldt0(sdtpldt0(xp,sK2),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_272424,c_85]) ).
tcf(c_272515,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK2) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,sK2),X0),sdtpldt0(xp,sK2)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_272424,c_155]) ).
tcf(c_272516,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sK2),X0) = sdtasdt0(X0,sdtpldt0(xp,sK2)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_272424,c_99]) ).
tcf(c_272517,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sK2),X0) = sdtpldt0(X0,sdtpldt0(xp,sK2)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_272424,c_86]) ).
tcf(c_272518,plain,
sdtasdt0(sz00,sdtpldt0(xp,sK2)) = sz00,
inference(superposition,[status(thm)],[c_272424,c_97]) ).
tcf(c_272519,plain,
sdtasdt0(sdtpldt0(xp,sK2),sz00) = sz00,
inference(superposition,[status(thm)],[c_272424,c_96]) ).
tcf(c_272520,plain,
sdtpldt0(sz00,sdtpldt0(xp,sK2)) = sdtpldt0(xp,sK2),
inference(superposition,[status(thm)],[c_272424,c_84]) ).
tcf(c_272521,plain,
sdtpldt0(sdtpldt0(xp,sK2),sz00) = sdtpldt0(xp,sK2),
inference(superposition,[status(thm)],[c_272424,c_83]) ).
tcf(c_272612,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272425,c_112]) ).
tcf(c_272613,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,sK2))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272425,c_259674]) ).
tcf(c_272614,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),sz00) ),
inference(superposition,[status(thm)],[c_272425,c_256023]) ).
tcf(c_272615,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sK2,sdtpldt0(xp,sK2))),xp) = sK3(sK2,sdtpldt0(xp,sK2)) )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272425,c_249177]) ).
tcf(c_272616,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272425,c_249154]) ).
tcf(c_272617,plain,
( ( sdtpldt0(xp,sK2) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),sK2) ),
inference(superposition,[status(thm)],[c_272425,c_113]) ).
tcf(c_272618,plain,
( ( sdtpldt0(sK2,sK3(sK2,sdtpldt0(xp,sK2))) = sdtpldt0(xp,sK2) )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272425,c_76]) ).
tcf(c_272619,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sdtpldt0(xp,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272616,c_65,c_272424]) ).
tcf(c_272622,plain,
sdtpldt0(sK2,sK3(sK2,sdtpldt0(xp,sK2))) = sdtpldt0(xp,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_272618,c_65,c_272424]) ).
tcf(c_272623,plain,
( ( sdtpldt0(xp,sK2) = sK2 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272617,c_65,c_272424]) ).
tcf(c_272626,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272612,c_65,c_272424]) ).
tcf(c_272630,plain,
sdtsldt0(sdtasdt0(xp,sK3(sK2,sdtpldt0(xp,sK2))),xp) = sK3(sK2,sdtpldt0(xp,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_272615,c_65,c_272424]) ).
tcf(c_272632,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,sK2))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272613,c_65,c_272424]) ).
tcf(c_272637,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_271788,c_92]) ).
tcf(c_272639,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xq)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_271788,c_265596]) ).
tcf(c_272641,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_271788,c_262982]) ).
tcf(c_272650,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_271788,c_95]) ).
tcf(c_272651,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_271788,c_92]) ).
tcf(c_272653,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272650,c_271708,c_106,c_271703]) ).
tcf(c_272658,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272637,c_271708,c_106,c_271703]) ).
tcf(c_272667,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xq),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_271789,c_265328]) ).
tcf(c_272670,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_271789,c_94]) ).
tcf(c_272672,plain,
( doDivides0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_271789,c_145]) ).
tcf(c_272674,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_271789,c_90]) ).
tcf(c_272676,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_271789,c_90]) ).
tcf(c_272679,plain,
doDivides0(sdtpldt0(xp,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_272672,c_106,c_271703]) ).
tcf(c_272680,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272670,c_271708,c_106,c_271703]) ).
tcf(c_272685,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272674,c_271708,c_106,c_271703]) ).
tcf(c_272691,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_272679,c_109]) ).
tcf(c_272692,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,xq),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_272679,c_102]) ).
tcf(c_272693,plain,
( ( sdtasdt0(sdtpldt0(xp,xq),sK4(sdtpldt0(xp,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_272679,c_105]) ).
tcf(c_272694,plain,
sdtasdt0(sdtpldt0(xp,xq),sK4(sdtpldt0(xp,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_272693,c_106,c_271703]) ).
tcf(c_272695,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,xq),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272692,c_106,c_271703]) ).
tcf(c_272699,plain,
sdtasdt0(sdtpldt0(xp,xq),sdtsldt0(sz00,sdtpldt0(xp,xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_272691,c_271708,c_106,c_271703]) ).
tcf(c_272700,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK2)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272518,c_92]) ).
tcf(c_272702,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK2)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272518,c_265596]) ).
tcf(c_272704,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(xp,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272518,c_262982]) ).
tcf(c_272713,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ( sdtasdt0(X0,sdtpldt0(xp,sK2)) != sz00 ) ),
inference(superposition,[status(thm)],[c_272518,c_95]) ).
tcf(c_272714,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK2)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272518,c_92]) ).
tcf(c_272716,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK2)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272713,c_272429,c_106,c_272424]) ).
tcf(c_272721,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK2)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272700,c_272429,c_106,c_272424]) ).
tcf(c_272785,plain,
( aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_250860,c_108]) ).
tcf(c_272786,plain,
( aNaturalNumber0(sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq))))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272785,c_38242,c_59]) ).
tcf(c_272793,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK2),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272519,c_265328]) ).
tcf(c_272796,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ( sdtasdt0(sdtpldt0(xp,sK2),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_272519,c_94]) ).
tcf(c_272798,plain,
( doDivides0(sdtpldt0(xp,sK2),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272519,c_145]) ).
tcf(c_272800,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK2),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272519,c_90]) ).
tcf(c_272802,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK2),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272519,c_90]) ).
tcf(c_272805,plain,
doDivides0(sdtpldt0(xp,sK2),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_272798,c_106,c_272424]) ).
tcf(c_272806,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK2),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272796,c_272429,c_106,c_272424]) ).
tcf(c_272811,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK2),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272800,c_272429,c_106,c_272424]) ).
tcf(c_272817,plain,
( ( sdtpldt0(xp,sK2) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK2),sdtsldt0(sz00,sdtpldt0(xp,sK2))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272805,c_109]) ).
tcf(c_272818,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK2),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272805,c_102]) ).
tcf(c_272819,plain,
( ( sdtasdt0(sdtpldt0(xp,sK2),sK4(sdtpldt0(xp,sK2),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272805,c_105]) ).
tcf(c_272820,plain,
sdtasdt0(sdtpldt0(xp,sK2),sK4(sdtpldt0(xp,sK2),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_272819,c_106,c_272424]) ).
tcf(c_272821,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK2),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272818,c_106,c_272424]) ).
tcf(c_272825,plain,
sdtasdt0(sdtpldt0(xp,sK2),sdtsldt0(sz00,sdtpldt0(xp,sK2))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_272817,c_272429,c_106,c_272424]) ).
tcf(c_272826,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_271790,c_73]) ).
tcf(c_272827,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xq)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_271790,c_264696]) ).
tcf(c_272828,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_271790,c_264358]) ).
tcf(c_272829,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_271790,c_262239]) ).
tcf(c_272834,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_271790,c_148]) ).
tcf(c_272836,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_271790,c_73]) ).
tcf(c_272837,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_271790,c_79]) ).
tcf(c_272838,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_271790,c_71]) ).
tcf(c_272839,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_271790,c_71]) ).
tcf(c_272841,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_271790,c_80]) ).
tcf(c_272842,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xp)
| ( sdtpldt0(xp,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_271790,c_270298]) ).
tcf(c_272843,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK3(xq,xp))
| ( sdtpldt0(xp,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_271790,c_270287]) ).
tcf(c_272847,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_272834,c_106,c_271703]) ).
tcf(c_272849,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,xq)) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272841,c_106,c_271703]) ).
tcf(c_272853,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272837,c_106,c_271703]) ).
tcf(c_272857,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_272836,c_106,c_271703]) ).
tcf(c_272863,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_272839,c_106,c_271703]) ).
tcf(c_272868,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_272838,c_106,c_271703]) ).
tcf(c_272873,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK3(xq,xp))
| ( sdtpldt0(xp,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272843,c_271703]) ).
tcf(c_272878,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xp)
| ( sdtpldt0(xp,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272842,c_271703]) ).
tcf(c_272884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272828,c_106,c_271703]) ).
tcf(c_272926,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_272847,c_112]) ).
tcf(c_272929,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xp,xq))),xp) = sK3(sz00,sdtpldt0(xp,xq)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_272847,c_249177]) ).
tcf(c_272931,plain,
( ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_272847,c_113]) ).
tcf(c_272932,plain,
( ( sdtpldt0(sz00,sK3(sz00,sdtpldt0(xp,xq))) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_272847,c_76]) ).
tcf(c_272933,plain,
sdtpldt0(sz00,sK3(sz00,sdtpldt0(xp,xq))) = sdtpldt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_272932,c_106,c_271703]) ).
tcf(c_272934,plain,
~ sdtlseqdt0(sdtpldt0(xp,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_272931,c_271708,c_106,c_271703]) ).
tcf(c_272935,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272926,c_106,c_271703]) ).
tcf(c_272939,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xp,xq))),xp) = sK3(sz00,sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_272929,c_106,c_271703]) ).
tcf(c_272947,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(X0,sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272619,c_112]) ).
tcf(c_272948,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,sK2))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272619,c_259674]) ).
tcf(c_272949,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),sz00) ),
inference(superposition,[status(thm)],[c_272619,c_256023]) ).
tcf(c_272950,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xp,sK2))),xp) = sK3(xq,sdtpldt0(xp,sK2)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272619,c_249177]) ).
tcf(c_272952,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtpldt0(xp,sK2) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),xq) ),
inference(superposition,[status(thm)],[c_272619,c_113]) ).
tcf(c_272953,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtpldt0(xq,sK3(xq,sdtpldt0(xp,sK2))) = sdtpldt0(xp,sK2) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272619,c_76]) ).
tcf(c_272954,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtpldt0(xq,sK3(xq,sdtpldt0(xp,sK2))) = sdtpldt0(xp,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272953,c_62,c_272424]) ).
tcf(c_272957,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtpldt0(xp,sK2) = xq )
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272952,c_62,c_272424]) ).
tcf(c_272961,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(X0,sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272947,c_62,c_272424]) ).
tcf(c_272966,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xp,sK2))),xp) = sK3(xq,sdtpldt0(xp,sK2)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272950,c_62,c_272424]) ).
tcf(c_272969,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272949,c_62,c_272424]) ).
tcf(c_272974,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,sK2))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272948,c_62,c_272424]) ).
tcf(c_272984,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_271154,c_112]) ).
tcf(c_272987,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK2))
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xn,sK2),xp)),xp) = sK3(sdtpldt0(xn,sK2),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_271154,c_249177]) ).
tcf(c_272989,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK2))
| ( sdtpldt0(xn,sK2) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(xp,sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_271154,c_113]) ).
tcf(c_272990,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK2))
| ( sdtpldt0(sdtpldt0(xn,sK2),sK3(sdtpldt0(xn,sK2),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_271154,c_76]) ).
tcf(c_272991,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK2))
| ( sdtpldt0(sdtpldt0(xn,sK2),sK3(sdtpldt0(xn,sK2),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272990,c_59,c_269050]) ).
tcf(c_272994,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK2))
| ( sdtpldt0(xn,sK2) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xn,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272989,c_59,c_269050]) ).
tcf(c_272998,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xn,sK2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272984,c_59,c_269050]) ).
tcf(c_273003,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK2))
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xn,sK2),xp)),xp) = sK3(sdtpldt0(xn,sK2),xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272987,c_59,c_269050]) ).
tcf(c_273018,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_271791,c_73]) ).
tcf(c_273026,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_271791,c_148]) ).
tcf(c_273028,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_271791,c_73]) ).
tcf(c_273029,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_271791,c_79]) ).
tcf(c_273030,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_271791,c_71]) ).
tcf(c_273031,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_271791,c_71]) ).
tcf(c_273033,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_271791,c_80]) ).
tcf(c_273034,plain,
sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_273026,c_106,c_271703]) ).
tcf(c_273035,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273033,c_106,c_271703]) ).
tcf(c_273039,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,xq),X0) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273029,c_106,c_271703]) ).
tcf(c_273044,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_273030,c_106,c_271703]) ).
tcf(c_273049,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_273028,c_106,c_271703]) ).
tcf(c_273054,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_273018,c_106,c_271703]) ).
tcf(c_273092,plain,
~ sdtlseqdt0(sdtpldt0(xp,sK2),sz00),
inference(global_subsumption_just,[status(thm)],[c_272969,c_106,c_62,c_59,c_69,c_115,c_117,c_128,c_2924,c_2937,c_3120,c_3258,c_7137,c_69674,c_72937]) ).
tcf(c_273096,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_111,c_273092]) ).
tcf(c_273097,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_273096,c_106,c_272424]) ).
tcf(c_273131,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(xm,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( X0 = xl )
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_258114]) ).
tcf(c_273132,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(superposition,[status(thm)],[c_111,c_258114]) ).
tcf(c_273135,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273132,c_106]) ).
tcf(c_273146,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_259699,c_87,c_262321]) ).
tcf(c_273147,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(renaming,[status(thm)],[c_273146]) ).
tcf(c_273230,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_273147,c_112]) ).
tcf(c_273231,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_273147,c_259674]) ).
tcf(c_273233,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(sdtasdt0(xp,sK3(X0,sK3(xq,xp))),xp) = sK3(X0,sK3(xq,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_273147,c_249177]) ).
tcf(c_273234,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_273147,c_249154]) ).
tcf(c_273235,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sK3(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_273147,c_113]) ).
tcf(c_273236,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtpldt0(X0,sK3(X0,sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_273147,c_76]) ).
tcf(c_273237,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_273147,c_249932]) ).
tcf(c_273242,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_273147,c_251249]) ).
tcf(c_273243,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_273147,c_112]) ).
tcf(c_273245,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_273147,c_256023]) ).
tcf(c_273246,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(X0,X1))),xp) = sK3(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_273147,c_249177]) ).
tcf(c_273248,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_273147,c_113]) ).
tcf(c_273249,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sdtpldt0(sz00,sK3(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_273147,c_76]) ).
tcf(c_273250,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273237,c_59]) ).
tcf(c_273298,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sdtpldt0(sz00,sK3(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273249,c_106]) ).
tcf(c_273305,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273248,c_106]) ).
tcf(c_273313,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273243,c_106]) ).
tcf(c_273322,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(X0,X1))),xp) = sK3(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273246,c_106]) ).
tcf(c_273352,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_263332,c_270940]) ).
tcf(c_273369,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(sz00,sz00))
| ( sK3(sz00,sz00) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_248465,c_273352]) ).
tcf(c_273370,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xl)
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247983,c_273352]) ).
tcf(c_273371,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xm)
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247984,c_273352]) ).
tcf(c_273372,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xn)
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247985,c_273352]) ).
tcf(c_273373,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247986,c_273352]) ).
tcf(c_273374,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xq)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247987,c_273352]) ).
tcf(c_273375,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK2)
| ( sK3(xq,xp) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247988,c_273352]) ).
tcf(c_273376,plain,
( sdtlseqdt0(sK3(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sdtasdt0(xl,xq),sK3(xq,xp))
| ( sdtasdt0(xl,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_248247,c_273352]) ).
tcf(c_273377,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(sz00,xl))
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl)) ),
inference(superposition,[status(thm)],[c_248475,c_273352]) ).
tcf(c_273378,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(sz00,xm))
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm)) ),
inference(superposition,[status(thm)],[c_248474,c_273352]) ).
tcf(c_273379,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(sz00,xn))
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_248473,c_273352]) ).
tcf(c_273380,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(sz00,xq))
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_248471,c_273352]) ).
tcf(c_273381,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(sz00,xp))
| ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp)) ),
inference(superposition,[status(thm)],[c_248470,c_273352]) ).
tcf(c_273382,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(sz00,sK2))
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_248469,c_273352]) ).
tcf(c_273384,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(sz00,sdtasdt0(xl,xq)))
| ( sK3(sz00,sdtasdt0(xl,xq)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249073,c_273352]) ).
tcf(c_273385,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xm,xl))
| sdtlseqdt0(sdtpldt0(xm,xl),sK3(xq,xp))
| ( sdtpldt0(xm,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258908,c_273352]) ).
tcf(c_273386,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),sK3(xq,xp))
| ( sdtpldt0(xl,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259211,c_273352]) ).
tcf(c_273387,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK3(xq,xp))
| ( sdtpldt0(xl,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259518,c_273352]) ).
tcf(c_273388,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xl,xq),sK3(xq,xp))
| ( sdtpldt0(xl,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_260482,c_273352]) ).
tcf(c_273389,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xl,sK2))
| sdtlseqdt0(sdtpldt0(xl,sK2),sK3(xq,xp))
| ( sdtpldt0(xl,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260637,c_273352]) ).
tcf(c_273390,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),sK3(xq,xp))
| ( sdtpldt0(xm,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266384,c_273352]) ).
tcf(c_273391,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xm,xq))
| sdtlseqdt0(sdtpldt0(xm,xq),sK3(xq,xp))
| ( sdtpldt0(xm,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_266881,c_273352]) ).
tcf(c_273392,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sK3(xq,xp))
| ( sdtpldt0(xn,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268140,c_273352]) ).
tcf(c_273393,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xn,xq))
| sdtlseqdt0(sdtpldt0(xn,xq),sK3(xq,xp))
| ( sdtpldt0(xn,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268873,c_273352]) ).
tcf(c_273394,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xn,sK2))
| sdtlseqdt0(sdtpldt0(xn,sK2),sK3(xq,xp))
| ( sdtpldt0(xn,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269126,c_273352]) ).
tcf(c_273395,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xp,xq),sK3(xq,xp))
| ( sdtpldt0(xp,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_271790,c_273352]) ).
tcf(c_273396,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X1)
| ( sK3(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1)) ),
inference(superposition,[status(thm)],[c_273352,c_112]) ).
tcf(c_273397,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_273352,c_259674]) ).
tcf(c_273399,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(sz00,X0),sK3(xq,xp))),xp) = sK3(sdtpldt0(sz00,X0),sK3(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_273352,c_249177]) ).
tcf(c_273400,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_273352,c_249154]) ).
tcf(c_273401,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK3(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_273352,c_113]) ).
tcf(c_273402,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK3(sdtpldt0(sz00,X0),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_273352,c_76]) ).
tcf(c_273403,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sz00,X0) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_273352,c_251249]) ).
tcf(c_273404,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK2)
| ( sK3(xq,xp) = sK2 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273375,c_65]) ).
tcf(c_273409,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xq)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273374,c_62]) ).
tcf(c_273414,plain,
( sdtlseqdt0(xp,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(xq,xp) = xp )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273373,c_59]) ).
tcf(c_273419,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xn)
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273372,c_51]) ).
tcf(c_273424,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xm)
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273371,c_50]) ).
tcf(c_273429,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xl)
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273370,c_49]) ).
tcf(c_273469,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xp,xq),sK3(xq,xp))
| ( sdtpldt0(xp,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273395,c_271703]) ).
tcf(c_273474,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xn,sK2))
| sdtlseqdt0(sdtpldt0(xn,sK2),sK3(xq,xp))
| ( sdtpldt0(xn,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273394,c_269050]) ).
tcf(c_273479,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xn,xq))
| sdtlseqdt0(sdtpldt0(xn,xq),sK3(xq,xp))
| ( sdtpldt0(xn,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273393,c_268778]) ).
tcf(c_273484,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sK3(xq,xp))
| ( sdtpldt0(xn,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273392,c_268056]) ).
tcf(c_273489,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xm,xq))
| sdtlseqdt0(sdtpldt0(xm,xq),sK3(xq,xp))
| ( sdtpldt0(xm,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273391,c_266559]) ).
tcf(c_273494,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),sK3(xq,xp))
| ( sdtpldt0(xm,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273390,c_266234]) ).
tcf(c_273499,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xl,sK2))
| sdtlseqdt0(sdtpldt0(xl,sK2),sK3(xq,xp))
| ( sdtpldt0(xl,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273389,c_260585]) ).
tcf(c_273504,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xl,xq),sK3(xq,xp))
| ( sdtpldt0(xl,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273388,c_260391]) ).
tcf(c_273509,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK3(xq,xp))
| ( sdtpldt0(xl,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273387,c_259440]) ).
tcf(c_273514,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),sK3(xq,xp))
| ( sdtpldt0(xl,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273386,c_259154]) ).
tcf(c_273519,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xm,xl))
| sdtlseqdt0(sdtpldt0(xm,xl),sK3(xq,xp))
| ( sdtpldt0(xm,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273385,c_258822]) ).
tcf(c_273524,plain,
( sdtlseqdt0(sK3(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sdtasdt0(xl,xq),sK3(xq,xp))
| ( sdtasdt0(xl,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273376,c_248038]) ).
tcf(c_273683,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(sz00,xl))
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_273377,c_112]) ).
tcf(c_273684,plain,
( sdtlseqdt0(sz00,sK3(sz00,xl))
| sdtlseqdt0(xl,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl)) ),
inference(superposition,[status(thm)],[c_273377,c_259674]) ).
tcf(c_273685,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl))
| ~ sdtlseqdt0(sK3(sz00,xl),sz00) ),
inference(superposition,[status(thm)],[c_273377,c_256023]) ).
tcf(c_273686,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),sK3(sz00,xl))),xp) = sK3(sK3(xq,xp),sK3(sz00,xl)) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl)) ),
inference(superposition,[status(thm)],[c_273377,c_249177]) ).
tcf(c_273687,plain,
( sdtlseqdt0(xq,sK3(sz00,xl))
| sdtlseqdt0(xl,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl)) ),
inference(superposition,[status(thm)],[c_273377,c_249154]) ).
tcf(c_273689,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),sK3(sz00,xl))) = sK3(sz00,xl) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl)) ),
inference(superposition,[status(thm)],[c_273377,c_76]) ).
tcf(c_273690,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK3(sz00,xl)),sz00) ),
inference(superposition,[status(thm)],[c_273377,c_270271]) ).
tcf(c_273691,plain,
( sdtlseqdt0(sz00,sK3(sz00,xl))
| sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl)) ),
inference(superposition,[status(thm)],[c_273377,c_260194]) ).
tcf(c_273692,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl))
| ~ sdtlseqdt0(sK3(sz00,xl),sz00) ),
inference(superposition,[status(thm)],[c_273377,c_256026]) ).
tcf(c_273693,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sK3(sz00,xl)))
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl)) ),
inference(superposition,[status(thm)],[c_273377,c_251344]) ).
tcf(c_273704,plain,
( sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ sdtlseqdt0(xl,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl)) ),
inference(light_normalisation,[status(thm)],[c_273690,c_248475]) ).
tcf(c_273759,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(sz00,xl))
| sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl)) ),
inference(superposition,[status(thm)],[c_259696,c_273692]) ).
tcf(c_273760,plain,
( sdtlseqdt0(sz00,sK3(sz00,xl))
| sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl)) ),
inference(superposition,[status(thm)],[c_111,c_273692]) ).
tcf(c_273761,plain,
( sdtlseqdt0(sz00,sK3(sz00,xl))
| sdtlseqdt0(xl,sK3(xq,xp))
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273760,c_106]) ).
tcf(c_273789,plain,
( aNaturalNumber0(sK3(xq,xm))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xq,xm)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xq,xm))) ),
inference(superposition,[status(thm)],[c_252962,c_108]) ).
tcf(c_273790,plain,
( aNaturalNumber0(sK3(xq,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,sK3(xq,xm)))
| ~ doDivides0(xp,sdtasdt0(xp,sK3(xq,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273789,c_38242,c_59]) ).
tcf(c_273794,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_273097,c_112]) ).
tcf(c_273797,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xp,sK2))),xp) = sK3(sz00,sdtpldt0(xp,sK2)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_273097,c_249177]) ).
tcf(c_273800,plain,
( ( sdtpldt0(sz00,sK3(sz00,sdtpldt0(xp,sK2))) = sdtpldt0(xp,sK2) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_273097,c_76]) ).
tcf(c_273801,plain,
sdtpldt0(sz00,sK3(sz00,sdtpldt0(xp,sK2))) = sdtpldt0(xp,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_273800,c_106,c_272424]) ).
tcf(c_273802,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273794,c_106,c_272424]) ).
tcf(c_273806,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xp,sK2))),xp) = sK3(sz00,sdtpldt0(xp,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_273797,c_106,c_272424]) ).
tcf(c_273810,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xp,xq),sdtpldt0(xp,xq))),xp) = sK3(sdtpldt0(xp,xq),sdtpldt0(xp,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_273034,c_249177]) ).
tcf(c_273813,plain,
( ( sdtpldt0(sdtpldt0(xp,xq),sK3(sdtpldt0(xp,xq),sdtpldt0(xp,xq))) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_273034,c_76]) ).
tcf(c_273814,plain,
sdtpldt0(sdtpldt0(xp,xq),sK3(sdtpldt0(xp,xq),sdtpldt0(xp,xq))) = sdtpldt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_273813,c_271703]) ).
tcf(c_273815,plain,
sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xp,xq),sdtpldt0(xp,xq))),xp) = sK3(sdtpldt0(xp,xq),sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_273810,c_271703]) ).
tcf(c_273816,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK2)),sdtpldt0(xp,sK2))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272520,c_73]) ).
tcf(c_273827,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK2),sdtpldt0(X0,sdtpldt0(xp,sK2)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272520,c_73]) ).
tcf(c_273828,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK2) ) ),
inference(superposition,[status(thm)],[c_272520,c_79]) ).
tcf(c_273829,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK2),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),X0) ),
inference(superposition,[status(thm)],[c_272520,c_71]) ).
tcf(c_273830,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK2))
| ( sdtpldt0(xp,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272520,c_71]) ).
tcf(c_273832,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ( sdtpldt0(X0,sdtpldt0(xp,sK2)) != sdtpldt0(xp,sK2) ) ),
inference(superposition,[status(thm)],[c_272520,c_80]) ).
tcf(c_273833,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xp,sK2))
| sdtlseqdt0(sdtpldt0(xp,sK2),sK3(xq,xp))
| ( sdtpldt0(xp,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272520,c_273352]) ).
tcf(c_273839,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,sK2)) != sdtpldt0(xp,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273832,c_106,c_272424]) ).
tcf(c_273843,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273828,c_106,c_272424]) ).
tcf(c_273847,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK2),sdtpldt0(X0,sdtpldt0(xp,sK2)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273827,c_106,c_272424]) ).
tcf(c_273853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK2))
| ( sdtpldt0(xp,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273830,c_106,c_272424]) ).
tcf(c_273858,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK2),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273829,c_106,c_272424]) ).
tcf(c_273863,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xp,sK2))
| sdtlseqdt0(sdtpldt0(xp,sK2),sK3(xq,xp))
| ( sdtpldt0(xp,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273833,c_272424]) ).
tcf(c_273868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK2))
| ( sdtpldt0(xp,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272521,c_73]) ).
tcf(c_273877,plain,
( sdtlseqdt0(sdtpldt0(xp,sK2),sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272521,c_148]) ).
tcf(c_273879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK2),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),X0) ),
inference(superposition,[status(thm)],[c_272521,c_73]) ).
tcf(c_273880,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ( sdtpldt0(sdtpldt0(xp,sK2),X0) != sdtpldt0(xp,sK2) ) ),
inference(superposition,[status(thm)],[c_272521,c_79]) ).
tcf(c_273881,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK2),sdtpldt0(sdtpldt0(xp,sK2),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272521,c_71]) ).
tcf(c_273882,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK2),X0),sdtpldt0(xp,sK2))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272521,c_71]) ).
tcf(c_273884,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK2) ) ),
inference(superposition,[status(thm)],[c_272521,c_80]) ).
tcf(c_273885,plain,
sdtlseqdt0(sdtpldt0(xp,sK2),sdtpldt0(xp,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_273877,c_106,c_272424]) ).
tcf(c_273886,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273884,c_106,c_272424]) ).
tcf(c_273890,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,sK2),X0) != sdtpldt0(xp,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273880,c_106,c_272424]) ).
tcf(c_273895,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK2),sdtpldt0(sdtpldt0(xp,sK2),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273881,c_106,c_272424]) ).
tcf(c_273900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK2),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273879,c_106,c_272424]) ).
tcf(c_273905,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK2))
| ( sdtpldt0(xp,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273868,c_106,c_272424]) ).
tcf(c_273929,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xp,sK2),sdtpldt0(xp,sK2))),xp) = sK3(sdtpldt0(xp,sK2),sdtpldt0(xp,sK2)) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_273885,c_249177]) ).
tcf(c_273930,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK2))
| sdtlseqdt0(sdtpldt0(xp,sK2),xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_273885,c_249154]) ).
tcf(c_273932,plain,
( ( sdtpldt0(sdtpldt0(xp,sK2),sK3(sdtpldt0(xp,sK2),sdtpldt0(xp,sK2))) = sdtpldt0(xp,sK2) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_273885,c_76]) ).
tcf(c_273933,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK2))
| sdtlseqdt0(sdtpldt0(xp,sK2),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_273930,c_272424]) ).
tcf(c_273936,plain,
sdtpldt0(sdtpldt0(xp,sK2),sK3(sdtpldt0(xp,sK2),sdtpldt0(xp,sK2))) = sdtpldt0(xp,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_273932,c_272424]) ).
tcf(c_273937,plain,
sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xp,sK2),sdtpldt0(xp,sK2))),xp) = sK3(sdtpldt0(xp,sK2),sdtpldt0(xp,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_273929,c_272424]) ).
tcf(c_274004,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_273933,c_112]) ).
tcf(c_274007,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK2))
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xp,sK2),xp)),xp) = sK3(sdtpldt0(xp,sK2),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_273933,c_249177]) ).
tcf(c_274009,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK2))
| ( sdtpldt0(xp,sK2) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2))
| ~ sdtlseqdt0(xp,sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_273933,c_113]) ).
tcf(c_274010,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK2))
| ( sdtpldt0(sdtpldt0(xp,sK2),sK3(sdtpldt0(xp,sK2),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_273933,c_76]) ).
tcf(c_274011,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK2))
| ( sdtpldt0(sdtpldt0(xp,sK2),sK3(sdtpldt0(xp,sK2),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274010,c_59,c_272424]) ).
tcf(c_274014,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK2))
| ( sdtpldt0(xp,sK2) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xp,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274009,c_59,c_272424]) ).
tcf(c_274018,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xp,sK2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274004,c_59,c_272424]) ).
tcf(c_274023,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK2))
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(xp,sK2),xp)),xp) = sK3(sdtpldt0(xp,sK2),xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274007,c_59,c_272424]) ).
tcf(c_274035,plain,
sdtpldt0(xq,sK2) = sdtpldt0(sK2,xq),
inference(superposition,[status(thm)],[c_65,c_248167]) ).
tcf(c_274036,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xq) = sdtpldt0(xq,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87,c_248167]) ).
tcf(c_274037,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),xq) = sdtpldt0(xq,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_75,c_248167]) ).
tcf(c_274038,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xq) = sdtpldt0(xq,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_248167]) ).
tcf(c_274039,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK4(X0,X1),xq) = sdtpldt0(xq,sK4(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_248167]) ).
tcf(c_274040,plain,
sdtpldt0(sz00,xq) = sdtpldt0(xq,sz00),
inference(superposition,[status(thm)],[c_106,c_248167]) ).
tcf(c_274041,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_108,c_248167]) ).
tcf(c_274042,plain,
sdtpldt0(sdtasdt0(xl,xq),xq) = sdtpldt0(xq,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_248038,c_248167]) ).
tcf(c_274043,plain,
sdtpldt0(sdtpldt0(xp,xq),xq) = sdtpldt0(xq,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_271703,c_248167]) ).
tcf(c_274044,plain,
sdtpldt0(sdtpldt0(xm,xl),xq) = sdtpldt0(xq,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_258822,c_248167]) ).
tcf(c_274045,plain,
sdtpldt0(sdtpldt0(xl,xn),xq) = sdtpldt0(xq,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_259154,c_248167]) ).
tcf(c_274046,plain,
sdtpldt0(sdtpldt0(xl,xp),xq) = sdtpldt0(xq,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_259440,c_248167]) ).
tcf(c_274047,plain,
sdtpldt0(sdtpldt0(xl,xq),xq) = sdtpldt0(xq,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_260391,c_248167]) ).
tcf(c_274048,plain,
sdtpldt0(sdtpldt0(xl,sK2),xq) = sdtpldt0(xq,sdtpldt0(xl,sK2)),
inference(superposition,[status(thm)],[c_260585,c_248167]) ).
tcf(c_274049,plain,
sdtpldt0(sdtpldt0(xm,xp),xq) = sdtpldt0(xq,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_266234,c_248167]) ).
tcf(c_274050,plain,
sdtpldt0(sdtpldt0(xm,xq),xq) = sdtpldt0(xq,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_266559,c_248167]) ).
tcf(c_274051,plain,
sdtpldt0(sdtpldt0(xn,xp),xq) = sdtpldt0(xq,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_268056,c_248167]) ).
tcf(c_274052,plain,
sdtpldt0(sdtpldt0(xn,xq),xq) = sdtpldt0(xq,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_268778,c_248167]) ).
tcf(c_274053,plain,
sdtpldt0(sdtpldt0(xn,sK2),xq) = sdtpldt0(xq,sdtpldt0(xn,sK2)),
inference(superposition,[status(thm)],[c_269050,c_248167]) ).
tcf(c_274054,plain,
sdtpldt0(sdtpldt0(xp,sK2),xq) = sdtpldt0(xq,sdtpldt0(xp,sK2)),
inference(superposition,[status(thm)],[c_272424,c_248167]) ).
tcf(c_274159,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sdtpldt0(xq,sK2))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(superposition,[status(thm)],[c_274035,c_73]) ).
tcf(c_274160,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_274035,c_273147]) ).
tcf(c_274161,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(superposition,[status(thm)],[c_274035,c_264696]) ).
tcf(c_274162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK3(xq,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(superposition,[status(thm)],[c_274035,c_264358]) ).
tcf(c_274163,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(superposition,[status(thm)],[c_274035,c_262239]) ).
tcf(c_274166,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xq)
| ( sdtpldt0(xq,sK2) != sz00 ) ),
inference(superposition,[status(thm)],[c_274035,c_78]) ).
tcf(c_274167,plain,
( ( sz00 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xq)
| ( sdtpldt0(xq,sK2) != sz00 ) ),
inference(superposition,[status(thm)],[c_274035,c_77]) ).
tcf(c_274168,plain,
( sdtlseqdt0(sK2,sdtpldt0(xq,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_274035,c_148]) ).
tcf(c_274169,plain,
( aNaturalNumber0(sdtpldt0(xq,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_274035,c_87]) ).
tcf(c_274170,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK2),sdtpldt0(X0,xq))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(superposition,[status(thm)],[c_274035,c_73]) ).
tcf(c_274171,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK2,X0) != sdtpldt0(xq,sK2) ) ),
inference(superposition,[status(thm)],[c_274035,c_79]) ).
tcf(c_274172,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK2),sdtpldt0(sK2,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_274035,c_71]) ).
tcf(c_274173,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sdtpldt0(xq,sK2))
| ( X0 = xq )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_274035,c_71]) ).
tcf(c_274174,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xq,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK2)
| ~ doDivides0(X0,xq) ),
inference(superposition,[status(thm)],[c_274035,c_101]) ).
tcf(c_274175,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != sdtpldt0(xq,sK2) ) ),
inference(superposition,[status(thm)],[c_274035,c_80]) ).
tcf(c_274176,plain,
aNaturalNumber0(sdtpldt0(xq,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_274169,c_65,c_62]) ).
tcf(c_274177,plain,
sdtlseqdt0(sK2,sdtpldt0(xq,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_274168,c_65,c_62]) ).
tcf(c_274178,plain,
( ( sz00 = sK2 )
| ( sdtpldt0(xq,sK2) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274167,c_65,c_62]) ).
tcf(c_274181,plain,
( ( sz00 = xq )
| ( sdtpldt0(xq,sK2) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274166,c_65,c_62]) ).
tcf(c_274184,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2))
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274160,c_65,c_62]) ).
tcf(c_274188,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != sdtpldt0(xq,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274175,c_65,c_62]) ).
tcf(c_274192,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xq,sK2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK2)
| ~ doDivides0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274174,c_65,c_62]) ).
tcf(c_274197,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK2,X0) != sdtpldt0(xq,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274171,c_65,c_62]) ).
tcf(c_274201,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274163,c_65,c_62]) ).
tcf(c_274205,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sdtpldt0(xq,sK2))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274173,c_65,c_62]) ).
tcf(c_274210,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK2),sdtpldt0(sK2,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274172,c_65,c_62]) ).
tcf(c_274215,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK2),sdtpldt0(X0,xq))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274170,c_65,c_62]) ).
tcf(c_274220,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sdtpldt0(xq,sK2))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274159,c_65,c_62]) ).
tcf(c_274225,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK3(xq,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274162,c_65,c_62]) ).
tcf(c_274232,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sK3(xq,xp))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274161,c_65,c_62]) ).
tcf(c_274282,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(sz00,xm))
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_273378,c_112]) ).
tcf(c_274283,plain,
( sdtlseqdt0(sz00,sK3(sz00,xm))
| sdtlseqdt0(xm,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm)) ),
inference(superposition,[status(thm)],[c_273378,c_259674]) ).
tcf(c_274284,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ sdtlseqdt0(sK3(sz00,xm),sz00) ),
inference(superposition,[status(thm)],[c_273378,c_256023]) ).
tcf(c_274285,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),sK3(sz00,xm))),xp) = sK3(sK3(xq,xp),sK3(sz00,xm)) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm)) ),
inference(superposition,[status(thm)],[c_273378,c_249177]) ).
tcf(c_274286,plain,
( sdtlseqdt0(xq,sK3(sz00,xm))
| sdtlseqdt0(xm,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm)) ),
inference(superposition,[status(thm)],[c_273378,c_249154]) ).
tcf(c_274288,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),sK3(sz00,xm))) = sK3(sz00,xm) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm)) ),
inference(superposition,[status(thm)],[c_273378,c_76]) ).
tcf(c_274289,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK3(sz00,xm)),sz00) ),
inference(superposition,[status(thm)],[c_273378,c_270271]) ).
tcf(c_274290,plain,
( sdtlseqdt0(sz00,sK3(sz00,xm))
| sdtlseqdt0(xm,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm)) ),
inference(superposition,[status(thm)],[c_273378,c_260194]) ).
tcf(c_274291,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ sdtlseqdt0(sK3(sz00,xm),sz00) ),
inference(superposition,[status(thm)],[c_273378,c_256026]) ).
tcf(c_274292,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sK3(sz00,xm)))
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm)) ),
inference(superposition,[status(thm)],[c_273378,c_251344]) ).
tcf(c_274303,plain,
( sdtlseqdt0(xm,sK3(xq,xp))
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm)) ),
inference(light_normalisation,[status(thm)],[c_274289,c_248474]) ).
tcf(c_274358,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(sz00,xm))
| sdtlseqdt0(xm,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm)) ),
inference(superposition,[status(thm)],[c_259696,c_274291]) ).
tcf(c_274359,plain,
( sdtlseqdt0(sz00,sK3(sz00,xm))
| sdtlseqdt0(xm,sK3(xq,xp))
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm)) ),
inference(superposition,[status(thm)],[c_111,c_274291]) ).
tcf(c_274360,plain,
( sdtlseqdt0(sz00,sK3(sz00,xm))
| sdtlseqdt0(xm,sK3(xq,xp))
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274359,c_106]) ).
tcf(c_274377,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(sz00,xn))
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_273379,c_112]) ).
tcf(c_274378,plain,
( sdtlseqdt0(sz00,sK3(sz00,xn))
| sdtlseqdt0(xn,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_273379,c_259674]) ).
tcf(c_274379,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ sdtlseqdt0(sK3(sz00,xn),sz00) ),
inference(superposition,[status(thm)],[c_273379,c_256023]) ).
tcf(c_274380,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),sK3(sz00,xn))),xp) = sK3(sK3(xq,xp),sK3(sz00,xn)) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_273379,c_249177]) ).
tcf(c_274381,plain,
( sdtlseqdt0(xq,sK3(sz00,xn))
| sdtlseqdt0(xn,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_273379,c_249154]) ).
tcf(c_274383,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),sK3(sz00,xn))) = sK3(sz00,xn) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_273379,c_76]) ).
tcf(c_274384,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK3(sz00,xn)),sz00) ),
inference(superposition,[status(thm)],[c_273379,c_270271]) ).
tcf(c_274385,plain,
( sdtlseqdt0(sz00,sK3(sz00,xn))
| sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_273379,c_260194]) ).
tcf(c_274386,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ sdtlseqdt0(sK3(sz00,xn),sz00) ),
inference(superposition,[status(thm)],[c_273379,c_256026]) ).
tcf(c_274387,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sK3(sz00,xn)))
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_273379,c_251344]) ).
tcf(c_274398,plain,
( sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(light_normalisation,[status(thm)],[c_274384,c_248473]) ).
tcf(c_274458,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(sz00,xn))
| sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_259696,c_274386]) ).
tcf(c_274459,plain,
( sdtlseqdt0(sz00,sK3(sz00,xn))
| sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_111,c_274386]) ).
tcf(c_274460,plain,
( sdtlseqdt0(sz00,sK3(sz00,xn))
| sdtlseqdt0(xn,sK3(xq,xp))
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274459,c_106]) ).
tcf(c_274559,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(sz00,xq))
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_273380,c_112]) ).
tcf(c_274560,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(sz00,xq))
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_273380,c_259674]) ).
tcf(c_274561,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ sdtlseqdt0(sK3(sz00,xq),sz00) ),
inference(superposition,[status(thm)],[c_273380,c_256023]) ).
tcf(c_274562,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),sK3(sz00,xq))),xp) = sK3(sK3(xq,xp),sK3(sz00,xq)) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_273380,c_249177]) ).
tcf(c_274563,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(xq,sK3(sz00,xq))
| sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_273380,c_249154]) ).
tcf(c_274565,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),sK3(sz00,xq))) = sK3(sz00,xq) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_273380,c_76]) ).
tcf(c_274566,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK3(sz00,xq)),sz00) ),
inference(superposition,[status(thm)],[c_273380,c_270271]) ).
tcf(c_274567,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(sz00,xq))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_273380,c_260194]) ).
tcf(c_274568,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq))
| ~ sdtlseqdt0(sK3(sz00,xq),sz00) ),
inference(superposition,[status(thm)],[c_273380,c_256026]) ).
tcf(c_274569,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sK3(sz00,xq)))
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_273380,c_251344]) ).
tcf(c_274580,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(light_normalisation,[status(thm)],[c_274566,c_248471]) ).
tcf(c_274666,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(sz00,xq))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_259696,c_274568]) ).
tcf(c_274667,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(sz00,xq))
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(superposition,[status(thm)],[c_111,c_274568]) ).
tcf(c_274668,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(sz00,xq))
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274667,c_106]) ).
tcf(c_274674,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(sz00,xq))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274666,c_106]) ).
tcf(c_274682,plain,
( ~ aNaturalNumber0(sK3(sz00,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ( sK3(sz00,xp) = sK3(xq,xp) )
| sdtlseqdt0(sK3(xq,xp),sK3(sz00,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_273381,c_267298,c_269297,c_273381]) ).
tcf(c_274683,plain,
( sdtlseqdt0(sK3(xq,xp),sK3(sz00,xp))
| ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp)) ),
inference(renaming,[status(thm)],[c_274682]) ).
tcf(c_274692,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3(sz00,xp))
| ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_274683,c_112]) ).
tcf(c_274693,plain,
( sdtlseqdt0(sz00,sK3(sz00,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp)) ),
inference(superposition,[status(thm)],[c_274683,c_259674]) ).
tcf(c_274695,plain,
( ( sK3(sz00,xp) = sK3(xq,xp) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),sK3(sz00,xp))),xp) = sK3(sK3(xq,xp),sK3(sz00,xp)) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp)) ),
inference(superposition,[status(thm)],[c_274683,c_249177]) ).
tcf(c_274696,plain,
( sdtlseqdt0(xq,sK3(sz00,xp))
| sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp)) ),
inference(superposition,[status(thm)],[c_274683,c_249154]) ).
tcf(c_274697,plain,
( ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ sdtlseqdt0(sK3(sz00,xp),sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_274683,c_113]) ).
tcf(c_274698,plain,
( ( sK3(sz00,xp) = sK3(xq,xp) )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),sK3(sz00,xp))) = sK3(sz00,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp)) ),
inference(superposition,[status(thm)],[c_274683,c_76]) ).
tcf(c_274699,plain,
( ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK3(sz00,xp)),sz00) ),
inference(superposition,[status(thm)],[c_274683,c_270271]) ).
tcf(c_274700,plain,
( sdtlseqdt0(sz00,sK3(sz00,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp)) ),
inference(superposition,[status(thm)],[c_274683,c_260194]) ).
tcf(c_274701,plain,
( ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp))
| ~ sdtlseqdt0(sK3(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_274683,c_256026]) ).
tcf(c_274702,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK3(sz00,xp)))
| ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp)) ),
inference(superposition,[status(thm)],[c_274683,c_251344]) ).
tcf(c_274711,plain,
( ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp)) ),
inference(light_normalisation,[status(thm)],[c_274699,c_248470]) ).
tcf(c_274756,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(sz00,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp)) ),
inference(superposition,[status(thm)],[c_259696,c_274701]) ).
tcf(c_274757,plain,
( sdtlseqdt0(sz00,sK3(sz00,xp))
| ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp)) ),
inference(superposition,[status(thm)],[c_111,c_274701]) ).
tcf(c_274758,plain,
( sdtlseqdt0(sz00,sK3(sz00,xp))
| ( sK3(sz00,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274757,c_106]) ).
tcf(c_274764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xq,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_255565,c_73]) ).
tcf(c_274775,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK3(xq,sdtasdt0(xl,xq))))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_255565,c_73]) ).
tcf(c_274776,plain,
! [X0: $i] :
( ( sK3(xq,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq)))
| ( sdtpldt0(xq,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_255565,c_79]) ).
tcf(c_274777,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xq,X0))
| ( sK3(xq,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK3(xq,sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_255565,c_71]) ).
tcf(c_274778,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtasdt0(xl,xq))
| ( sK3(xq,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(xq,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_255565,c_71]) ).
tcf(c_274779,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq)))
| ~ doDivides0(X0,sK3(xq,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_255565,c_101]) ).
tcf(c_274780,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK3(xq,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_255565,c_80]) ).
tcf(c_274781,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK3(xq,sdtasdt0(xl,xq)))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,sdtasdt0(xl,xq)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_255565,c_259601]) ).
tcf(c_274782,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),xp)
| ( sK3(xq,sdtasdt0(xl,xq)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK3(xq,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_255565,c_256030]) ).
tcf(c_274783,plain,
( sdtlseqdt0(xp,sdtasdt0(xl,xq))
| sdtlseqdt0(sK3(xq,sdtasdt0(xl,xq)),sK3(xq,xp))
| ( sK3(xq,sdtasdt0(xl,xq)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_255565,c_253184]) ).
tcf(c_274784,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(sK3(xq,xp),sK3(xq,sdtasdt0(xl,xq)))
| ( sK3(xq,sdtasdt0(xl,xq)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_255565,c_253115]) ).
tcf(c_274785,plain,
( ( sK3(xq,sdtasdt0(xl,xq)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) != xp ) ),
inference(superposition,[status(thm)],[c_255565,c_249523]) ).
tcf(c_274790,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK3(xq,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274780,c_62]) ).
tcf(c_274795,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq)))
| ~ doDivides0(X0,sK3(xq,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274779,c_62]) ).
tcf(c_274801,plain,
! [X0: $i] :
( ( sK3(xq,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq)))
| ( sdtpldt0(xq,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274776,c_62]) ).
tcf(c_274806,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK3(xq,sdtasdt0(xl,xq))))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274775,c_62]) ).
tcf(c_274812,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3(xq,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274764,c_62]) ).
tcf(c_274833,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtasdt0(xl,xq))
| ( sK3(xq,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(xq,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274778,c_62]) ).
tcf(c_274839,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xq,X0))
| ( sK3(xq,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK3(xq,sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_274777,c_62]) ).
tcf(c_274971,plain,
sdtpldt0(sdtpldt0(xq,sK2),xq) = sdtpldt0(xq,sdtpldt0(xq,sK2)),
inference(superposition,[status(thm)],[c_274176,c_248167]) ).
tcf(c_274972,plain,
sdtpldt0(sdtpldt0(xq,sK2),xp) = sdtpldt0(xp,sdtpldt0(xq,sK2)),
inference(superposition,[status(thm)],[c_274176,c_248166]) ).
tcf(c_274973,plain,
sdtpldt0(sdtpldt0(xq,sK2),xn) = sdtpldt0(xn,sdtpldt0(xq,sK2)),
inference(superposition,[status(thm)],[c_274176,c_248165]) ).
tcf(c_274974,plain,
sdtpldt0(sdtpldt0(xq,sK2),xm) = sdtpldt0(xm,sdtpldt0(xq,sK2)),
inference(superposition,[status(thm)],[c_274176,c_248164]) ).
tcf(c_274975,plain,
sdtpldt0(sdtpldt0(xq,sK2),xl) = sdtpldt0(xl,sdtpldt0(xq,sK2)),
inference(superposition,[status(thm)],[c_274176,c_248163]) ).
tcf(c_274976,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtasdt0(sdtpldt0(xq,sK2),X0)),xp) = sdtasdt0(sdtpldt0(xq,sK2),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_274176,c_249178]) ).
tcf(c_274977,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sdtpldt0(sdtpldt0(xq,sK2),X0)),xp) = sdtpldt0(sdtpldt0(xq,sK2),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_274176,c_249176]) ).
tcf(c_274978,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xq,sK2)),sdtasdt0(X0,sdtpldt0(xq,sK2))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xq,sK2)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_274176,c_82]) ).
tcf(c_274979,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sK2),X1),sdtasdt0(sdtpldt0(xq,sK2),X0)) = sdtasdt0(sdtpldt0(xq,sK2),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_274176,c_81]) ).
tcf(c_274980,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sK2),X1),X0) = sdtasdt0(sdtpldt0(xq,sK2),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_274176,c_98]) ).
tcf(c_274981,plain,
sdtsldt0(sdtasdt0(xp,sdtpldt0(xq,sK2)),xp) = sdtpldt0(xq,sK2),
inference(superposition,[status(thm)],[c_274176,c_248772]) ).
tcf(c_274982,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sK2),X1),X0) = sdtpldt0(sdtpldt0(xq,sK2),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_274176,c_85]) ).
tcf(c_274983,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK2) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xq,sK2),X0),sdtpldt0(xq,sK2)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_274176,c_155]) ).
tcf(c_274984,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sK2),X0) = sdtasdt0(X0,sdtpldt0(xq,sK2)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_274176,c_99]) ).
tcf(c_274985,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sK2),X0) = sdtpldt0(X0,sdtpldt0(xq,sK2)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_274176,c_86]) ).
tcf(c_274986,plain,
sdtasdt0(sz00,sdtpldt0(xq,sK2)) = sz00,
inference(superposition,[status(thm)],[c_274176,c_97]) ).
tcf(c_274987,plain,
sdtasdt0(sdtpldt0(xq,sK2),sz00) = sz00,
inference(superposition,[status(thm)],[c_274176,c_96]) ).
tcf(c_274988,plain,
sdtpldt0(sz00,sdtpldt0(xq,sK2)) = sdtpldt0(xq,sK2),
inference(superposition,[status(thm)],[c_274176,c_84]) ).
tcf(c_274989,plain,
sdtpldt0(sdtpldt0(xq,sK2),sz00) = sdtpldt0(xq,sK2),
inference(superposition,[status(thm)],[c_274176,c_83]) ).
tcf(c_275049,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274177,c_112]) ).
tcf(c_275050,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274177,c_259674]) ).
tcf(c_275051,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(superposition,[status(thm)],[c_274177,c_256023]) ).
tcf(c_275052,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sK2,sdtpldt0(xq,sK2))),xp) = sK3(sK2,sdtpldt0(xq,sK2)) )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274177,c_249177]) ).
tcf(c_275053,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sdtpldt0(xq,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274177,c_249154]) ).
tcf(c_275054,plain,
( ( sdtpldt0(xq,sK2) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sK2) ),
inference(superposition,[status(thm)],[c_274177,c_113]) ).
tcf(c_275055,plain,
( ( sdtpldt0(sK2,sK3(sK2,sdtpldt0(xq,sK2))) = sdtpldt0(xq,sK2) )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274177,c_76]) ).
tcf(c_275056,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sdtpldt0(xq,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275053,c_65,c_274176]) ).
tcf(c_275059,plain,
sdtpldt0(sK2,sK3(sK2,sdtpldt0(xq,sK2))) = sdtpldt0(xq,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_275055,c_65,c_274176]) ).
tcf(c_275060,plain,
( ( sdtpldt0(xq,sK2) = sK2 )
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275054,c_65,c_274176]) ).
tcf(c_275063,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sK2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275049,c_65,c_274176]) ).
tcf(c_275067,plain,
sdtsldt0(sdtasdt0(xp,sK3(sK2,sdtpldt0(xq,sK2))),xp) = sK3(sK2,sdtpldt0(xq,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_275052,c_65,c_274176]) ).
tcf(c_275069,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275050,c_65,c_274176]) ).
tcf(c_275098,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xq,sK2)))
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274986,c_92]) ).
tcf(c_275100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,sK2)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274986,c_265596]) ).
tcf(c_275102,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274986,c_262982]) ).
tcf(c_275111,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ( sdtasdt0(X0,sdtpldt0(xq,sK2)) != sz00 ) ),
inference(superposition,[status(thm)],[c_274986,c_95]) ).
tcf(c_275112,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,sK2)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274986,c_92]) ).
tcf(c_275113,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275102,c_106,c_248101,c_274176]) ).
tcf(c_275117,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xq,sK2)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275111,c_106,c_274176]) ).
tcf(c_275122,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,sK2)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275112,c_106,c_274176]) ).
tcf(c_275128,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xq,sK2)))
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275098,c_106,c_274176]) ).
tcf(c_275134,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,sK2)),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275100,c_106,c_248101,c_274176]) ).
tcf(c_275158,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,sK2),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274987,c_265328]) ).
tcf(c_275161,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ( sdtasdt0(sdtpldt0(xq,sK2),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_274987,c_94]) ).
tcf(c_275163,plain,
( doDivides0(sdtpldt0(xq,sK2),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274987,c_145]) ).
tcf(c_275165,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xq,sK2),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274987,c_90]) ).
tcf(c_275167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,sK2),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274987,c_90]) ).
tcf(c_275170,plain,
doDivides0(sdtpldt0(xq,sK2),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_275163,c_106,c_274176]) ).
tcf(c_275171,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xq,sK2),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275161,c_106,c_274176]) ).
tcf(c_275176,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,sK2),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275167,c_106,c_274176]) ).
tcf(c_275182,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xq,sK2),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275165,c_106,c_274176]) ).
tcf(c_275188,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,sK2),X0),sK3(xq,xp))
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275158,c_106,c_248101,c_274176]) ).
tcf(c_275195,plain,
( ( sdtpldt0(xq,sK2) = sz00 )
| ( sdtasdt0(sdtpldt0(xq,sK2),sdtsldt0(sz00,sdtpldt0(xq,sK2))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_275170,c_109]) ).
tcf(c_275196,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xq,sK2),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_275170,c_102]) ).
tcf(c_275197,plain,
( ( sdtasdt0(sdtpldt0(xq,sK2),sK4(sdtpldt0(xq,sK2),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_275170,c_105]) ).
tcf(c_275198,plain,
sdtasdt0(sdtpldt0(xq,sK2),sK4(sdtpldt0(xq,sK2),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_275197,c_106,c_274176]) ).
tcf(c_275199,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xq,sK2),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275196,c_106,c_274176]) ).
tcf(c_275203,plain,
( ( sdtpldt0(xq,sK2) = sz00 )
| ( sdtasdt0(sdtpldt0(xq,sK2),sdtsldt0(sz00,sdtpldt0(xq,sK2))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275195,c_106,c_274176]) ).
tcf(c_275210,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(X0,sdtpldt0(xq,sK2))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_275056,c_112]) ).
tcf(c_275211,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_275056,c_259674]) ).
tcf(c_275212,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(superposition,[status(thm)],[c_275056,c_256023]) ).
tcf(c_275213,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xq,sK2))),xp) = sK3(xq,sdtpldt0(xq,sK2)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_275056,c_249177]) ).
tcf(c_275215,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtpldt0(xq,sK2) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),xq) ),
inference(superposition,[status(thm)],[c_275056,c_113]) ).
tcf(c_275216,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtpldt0(xq,sK3(xq,sdtpldt0(xq,sK2))) = sdtpldt0(xq,sK2) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_275056,c_76]) ).
tcf(c_275217,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtpldt0(xq,sK3(xq,sdtpldt0(xq,sK2))) = sdtpldt0(xq,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275216,c_62,c_274176]) ).
tcf(c_275220,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtpldt0(xq,sK2) = xq )
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275215,c_62,c_274176]) ).
tcf(c_275224,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(X0,sdtpldt0(xq,sK2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275210,c_62,c_274176]) ).
tcf(c_275229,plain,
( sdtlseqdt0(sK2,xp)
| ( sdtsldt0(sdtasdt0(xp,sK3(xq,sdtpldt0(xq,sK2))),xp) = sK3(xq,sdtpldt0(xq,sK2)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275213,c_62,c_274176]) ).
tcf(c_275232,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275212,c_62,c_274176]) ).
tcf(c_275237,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275211,c_62,c_274176]) ).
tcf(c_275267,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xq,sK2)),sdtpldt0(xq,sK2))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274988,c_73]) ).
tcf(c_275269,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xq,sK2)),sK3(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(superposition,[status(thm)],[c_274988,c_264696]) ).
tcf(c_275270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sdtpldt0(xq,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274988,c_264358]) ).
tcf(c_275271,plain,
( sdtlseqdt0(sz00,sK3(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(superposition,[status(thm)],[c_274988,c_262239]) ).
tcf(c_275276,plain,
( sdtlseqdt0(sz00,sdtpldt0(xq,sK2))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274988,c_148]) ).
tcf(c_275278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK2),sdtpldt0(X0,sdtpldt0(xq,sK2)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274988,c_73]) ).
tcf(c_275279,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xq,sK2) ) ),
inference(superposition,[status(thm)],[c_274988,c_79]) ).
tcf(c_275280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK2),sdtpldt0(sz00,X0))
| ( sdtpldt0(xq,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),X0) ),
inference(superposition,[status(thm)],[c_274988,c_71]) ).
tcf(c_275281,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xq,sK2))
| ( sdtpldt0(xq,sK2) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274988,c_71]) ).
tcf(c_275283,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ( sdtpldt0(X0,sdtpldt0(xq,sK2)) != sdtpldt0(xq,sK2) ) ),
inference(superposition,[status(thm)],[c_274988,c_80]) ).
tcf(c_275284,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xq,sK2))
| sdtlseqdt0(sdtpldt0(xq,sK2),sK3(xq,xp))
| ( sdtpldt0(xq,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274988,c_273352]) ).
tcf(c_275285,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK2)),xp)
| ( sdtpldt0(xq,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(superposition,[status(thm)],[c_274988,c_270298]) ).
tcf(c_275286,plain,
( sdtlseqdt0(sdtpldt0(xq,sK2),sK3(xq,xp))
| ( sdtpldt0(xq,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(superposition,[status(thm)],[c_274988,c_270287]) ).
tcf(c_275290,plain,
sdtlseqdt0(sz00,sdtpldt0(xq,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_275276,c_106,c_274176]) ).
tcf(c_275292,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xq,sK2)) != sdtpldt0(xq,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275283,c_106,c_274176]) ).
tcf(c_275296,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xq,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275279,c_106,c_274176]) ).
tcf(c_275300,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK2),sdtpldt0(X0,sdtpldt0(xq,sK2)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275278,c_106,c_274176]) ).
tcf(c_275306,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xq,sK2))
| ( sdtpldt0(xq,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275281,c_106,c_274176]) ).
tcf(c_275311,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK2),sdtpldt0(sz00,X0))
| ( sdtpldt0(xq,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275280,c_106,c_274176]) ).
tcf(c_275316,plain,
( sdtlseqdt0(sdtpldt0(xq,sK2),sK3(xq,xp))
| ( sdtpldt0(xq,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275286,c_274176]) ).
tcf(c_275321,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK2)),xp)
| ( sdtpldt0(xq,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275285,c_274176]) ).
tcf(c_275326,plain,
( sdtlseqdt0(sK3(xq,xp),sdtpldt0(xq,sK2))
| sdtlseqdt0(sdtpldt0(xq,sK2),sK3(xq,xp))
| ( sdtpldt0(xq,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275284,c_274176]) ).
tcf(c_275332,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3(xq,xp))
| ( sdtpldt0(xq,sK2) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275270,c_106,c_274176]) ).
tcf(c_275360,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sK2))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_275290,c_112]) ).
tcf(c_275363,plain,
( ( sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xq,sK2))),xp) = sK3(sz00,sdtpldt0(xq,sK2)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_275290,c_249177]) ).
tcf(c_275365,plain,
( ( sdtpldt0(xq,sK2) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(superposition,[status(thm)],[c_275290,c_113]) ).
tcf(c_275366,plain,
( ( sdtpldt0(sz00,sK3(sz00,sdtpldt0(xq,sK2))) = sdtpldt0(xq,sK2) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_275290,c_76]) ).
tcf(c_275367,plain,
sdtpldt0(sz00,sK3(sz00,sdtpldt0(xq,sK2))) = sdtpldt0(xq,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_275366,c_106,c_274176]) ).
tcf(c_275368,plain,
( ( sdtpldt0(xq,sK2) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275365,c_106,c_274176]) ).
tcf(c_275371,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sK2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275360,c_106,c_274176]) ).
tcf(c_275375,plain,
sdtsldt0(sdtasdt0(xp,sK3(sz00,sdtpldt0(xq,sK2))),xp) = sK3(sz00,sdtpldt0(xq,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_275363,c_106,c_274176]) ).
tcf(c_275392,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(sz00,sK2))
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_273382,c_112]) ).
tcf(c_275393,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(sz00,sK2))
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_273382,c_259674]) ).
tcf(c_275394,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ sdtlseqdt0(sK3(sz00,sK2),sz00) ),
inference(superposition,[status(thm)],[c_273382,c_256023]) ).
tcf(c_275395,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),sK3(sz00,sK2))),xp) = sK3(sK3(xq,xp),sK3(sz00,sK2)) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_273382,c_249177]) ).
tcf(c_275396,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(xq,sK3(sz00,sK2))
| sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_273382,c_249154]) ).
tcf(c_275398,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),sK3(sz00,sK2))) = sK3(sz00,sK2) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_273382,c_76]) ).
tcf(c_275399,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK3(sz00,sK2)),sz00) ),
inference(superposition,[status(thm)],[c_273382,c_270271]) ).
tcf(c_275400,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(sz00,sK2))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_273382,c_260194]) ).
tcf(c_275401,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ sdtlseqdt0(sK3(sz00,sK2),sz00) ),
inference(superposition,[status(thm)],[c_273382,c_256026]) ).
tcf(c_275402,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sK3(sz00,sK2)))
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_273382,c_251344]) ).
tcf(c_275413,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ sdtlseqdt0(sK2,sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(light_normalisation,[status(thm)],[c_275399,c_248469]) ).
tcf(c_275495,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(sz00,sK2))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_259696,c_275401]) ).
tcf(c_275496,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(sz00,sK2))
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_111,c_275401]) ).
tcf(c_275497,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(sz00,sK2))
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275496,c_106]) ).
tcf(c_275503,plain,
( sdtlseqdt0(sK2,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(xq,xp))
| sdtlseqdt0(sz00,sK3(sz00,sK2))
| ( sK3(xq,xp) = sz00 )
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275495,c_106]) ).
tcf(c_275511,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_273400,c_252427,c_273400]) ).
tcf(c_275528,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xl)
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247983,c_275511]) ).
tcf(c_275529,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xm)
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247984,c_275511]) ).
tcf(c_275530,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xn)
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247985,c_275511]) ).
tcf(c_275533,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK2)
| ( sK3(xq,xp) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_247988,c_275511]) ).
tcf(c_275534,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(sK3(xq,xp),sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_248247,c_275511]) ).
tcf(c_275535,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(sz00,xl))
| ( sK3(sz00,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xl)) ),
inference(superposition,[status(thm)],[c_248475,c_275511]) ).
tcf(c_275536,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(sz00,xm))
| ( sK3(sz00,xm) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xm)) ),
inference(superposition,[status(thm)],[c_248474,c_275511]) ).
tcf(c_275537,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(sz00,xn))
| ( sK3(sz00,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,xn)) ),
inference(superposition,[status(thm)],[c_248473,c_275511]) ).
tcf(c_275540,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK3(sz00,sK2))
| ( sK3(sz00,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sK2)) ),
inference(superposition,[status(thm)],[c_248469,c_275511]) ).
tcf(c_275542,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(sK3(xq,xp),sK3(sz00,sdtasdt0(xl,xq)))
| ( sK3(sz00,sdtasdt0(xl,xq)) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_249073,c_275511]) ).
tcf(c_275543,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xm,xl),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xm,xl))
| ( sdtpldt0(xm,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_258908,c_275511]) ).
tcf(c_275544,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_259211,c_275511]) ).
tcf(c_275545,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_259518,c_275511]) ).
tcf(c_275546,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_260482,c_275511]) ).
tcf(c_275547,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK2),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xl,sK2))
| ( sdtpldt0(xl,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK2)) ),
inference(superposition,[status(thm)],[c_260637,c_275511]) ).
tcf(c_275548,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xm,xp))
| ( sdtpldt0(xm,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_266384,c_275511]) ).
tcf(c_275549,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xm,xq))
| ( sdtpldt0(xm,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_266881,c_275511]) ).
tcf(c_275550,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_268140,c_275511]) ).
tcf(c_275551,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xn,xq))
| ( sdtpldt0(xn,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_268873,c_275511]) ).
tcf(c_275552,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK2),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xn,sK2))
| ( sdtpldt0(xn,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK2)) ),
inference(superposition,[status(thm)],[c_269126,c_275511]) ).
tcf(c_275553,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xp,xq))
| ( sdtpldt0(xp,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_271790,c_275511]) ).
tcf(c_275554,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK2),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xp,sK2))
| ( sdtpldt0(xp,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK2)) ),
inference(superposition,[status(thm)],[c_272520,c_275511]) ).
tcf(c_275555,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xq,sK2))
| ( sdtpldt0(xq,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2)) ),
inference(superposition,[status(thm)],[c_274988,c_275511]) ).
tcf(c_275556,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),xp)
| ( sK3(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_112]) ).
tcf(c_275557,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_259674]) ).
tcf(c_275558,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK3(xq,xp),sK3(xq,xp))
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_256023]) ).
tcf(c_275559,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),X0)),xp) = sK3(sK3(xq,xp),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_249177]) ).
tcf(c_275560,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_249154]) ).
tcf(c_275561,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_113]) ).
tcf(c_275562,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_76]) ).
tcf(c_275563,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(sz00,xq),xp)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_252958]) ).
tcf(c_275564,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,xq),xp)
| sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_249160]) ).
tcf(c_275565,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,xq),xp)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_248950]) ).
tcf(c_275566,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(sz00,xl),xp)
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_248934]) ).
tcf(c_275567,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_269342]) ).
tcf(c_275568,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sz00),xp)
| sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_257908]) ).
tcf(c_275569,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),sK3(xq,xp))),xp) = sK3(sK3(xq,xp),sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_259015]) ).
tcf(c_275570,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_258342]) ).
tcf(c_275571,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xl)
| sdtlseqdt0(sdtpldt0(sz00,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_248962]) ).
tcf(c_275572,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(sz00,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_248958]) ).
tcf(c_275573,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xn)
| sdtlseqdt0(sdtpldt0(sz00,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_248954]) ).
tcf(c_275574,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xq)
| sdtlseqdt0(sdtpldt0(sz00,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_248946]) ).
tcf(c_275575,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_248942]) ).
tcf(c_275576,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK2)
| sdtlseqdt0(sdtpldt0(sz00,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_248938]) ).
tcf(c_275577,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sz00),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_254396]) ).
tcf(c_275578,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_275511,c_270271]) ).
tcf(c_275579,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK3(xq,xp) = sz00 )
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_260194]) ).
tcf(c_275580,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_256026]) ).
tcf(c_275581,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK3(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(superposition,[status(thm)],[c_275511,c_251344]) ).
tcf(c_275583,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X1)
| ( sK3(xq,xp) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1)) ),
inference(superposition,[status(thm)],[c_275511,c_112]) ).
tcf(c_275586,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(sz00,X0),xp)),xp) = sK3(sdtpldt0(sz00,X0),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_275511,c_249177]) ).
tcf(c_275588,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sz00,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_275511,c_113]) ).
tcf(c_275589,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK3(sdtpldt0(sz00,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_275511,c_76]) ).
tcf(c_275590,plain,
( sdtlseqdt0(sz00,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_275577,c_247978]) ).
tcf(c_275591,plain,
( sdtlseqdt0(sK2,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK2)
| ( sK3(xq,xp) = sK2 )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275533,c_65]) ).
tcf(c_275597,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xn)
| ( sK3(xq,xp) = xn )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275530,c_51]) ).
tcf(c_275603,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xm)
| ( sK3(xq,xp) = xm )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275529,c_50]) ).
tcf(c_275609,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xl)
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275528,c_49]) ).
tcf(c_275627,plain,
( sdtlseqdt0(sz00,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),sK2)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_275576,c_247978]) ).
tcf(c_275628,plain,
( sdtlseqdt0(sz00,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_275575,c_247978]) ).
tcf(c_275629,plain,
( sdtlseqdt0(sz00,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xq)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_275574,c_247978]) ).
tcf(c_275630,plain,
( sdtlseqdt0(sz00,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xn)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_275573,c_247978]) ).
tcf(c_275631,plain,
( sdtlseqdt0(sz00,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xm)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_275572,c_247978]) ).
tcf(c_275632,plain,
( sdtlseqdt0(sz00,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xl)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_275571,c_247978]) ).
tcf(c_275633,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xm)
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_275566,c_247983]) ).
tcf(c_275634,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xm)
| ( sK3(xq,xp) = xl )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275633,c_49]) ).
tcf(c_275640,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xp)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_275565,c_247987]) ).
tcf(c_275641,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),xm)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_275563,c_247987]) ).
tcf(c_275692,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_275564,c_247987]) ).
tcf(c_275700,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xq,sK2))
| ( sdtpldt0(xq,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275555,c_274176]) ).
tcf(c_275706,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK2),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xp,sK2))
| ( sdtpldt0(xp,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275554,c_272424]) ).
tcf(c_275712,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xp,xq))
| ( sdtpldt0(xp,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275553,c_271703]) ).
tcf(c_275718,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK2),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xn,sK2))
| ( sdtpldt0(xn,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275552,c_269050]) ).
tcf(c_275724,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xn,xq))
| ( sdtpldt0(xn,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275551,c_268778]) ).
tcf(c_275730,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275550,c_268056]) ).
tcf(c_275736,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xm,xq))
| ( sdtpldt0(xm,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275549,c_266559]) ).
tcf(c_275742,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xm,xp))
| ( sdtpldt0(xm,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275548,c_266234]) ).
tcf(c_275748,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK2),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xl,sK2))
| ( sdtpldt0(xl,sK2) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275547,c_260585]) ).
tcf(c_275754,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275546,c_260391]) ).
tcf(c_275760,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275545,c_259440]) ).
tcf(c_275766,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275544,c_259154]) ).
tcf(c_275772,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtpldt0(xm,xl),xp)
| sdtlseqdt0(sK3(xq,xp),sdtpldt0(xm,xl))
| ( sdtpldt0(xm,xl) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275543,c_258822]) ).
tcf(c_275778,plain,
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(sK3(xq,xp),sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = sK3(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275534,c_248038]) ).
tcf(c_275784,plain,
( sdtlseqdt0(sz00,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_275567,c_247978]) ).
tcf(c_275799,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(X0,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_275568,c_247978]) ).
tcf(c_275800,plain,
( sdtlseqdt0(sz00,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtpldt0(sK3(xq,xp),sK3(sK3(xq,xp),sK3(xq,xp))) = sK3(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_275570,c_247978]) ).
tcf(c_275821,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK3(sdtpldt0(sz00,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275589,c_59]) ).
tcf(c_275829,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = X0 )
| ( sdtpldt0(sz00,X0) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275588,c_59]) ).
tcf(c_275838,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X1)
| ( sK3(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275583,c_59]) ).
tcf(c_275848,plain,
( sdtlseqdt0(sz00,xp)
| sdtlseqdt0(xq,sK3(xq,xp))
| ( sK3(xq,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sK3(xq,xp),sK3(xq,xp))),xp) = sK3(sK3(xq,xp),sK3(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_275569,c_247978]) ).
tcf(c_275849,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK3(xq,xp))
| sdtlseqdt0(sK3(xq,xp),X0)
| ( sK3(xq,xp) = X0 )
| ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(sz00,X0),xp)),xp) = sK3(sdtpldt0(sz00,X0),xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_275586,c_59]) ).
tcf(c_276001,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| sdtlseqdt0(sdtpldt0(sz00,X0),xp) ),
inference(global_subsumption_just,[status(thm)],[c_275580,c_62,c_59,c_69,c_2654,c_2923,c_3258,c_3688,c_3684,c_5693,c_138262]) ).
tcf(c_276002,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(renaming,[status(thm)],[c_276001]) ).
tcf(c_276014,plain,
( sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00) ),
inference(superposition,[status(thm)],[c_247985,c_276002]) ).
tcf(c_276017,plain,
( sdtlseqdt0(sK2,xp)
| ~ aNaturalNumber0(sK2)
| ~ sdtlseqdt0(sK2,sz00) ),
inference(superposition,[status(thm)],[c_247988,c_276002]) ).
tcf(c_276019,plain,
( sdtlseqdt0(xl,xp)
| ~ aNaturalNumber0(sK3(sz00,xl))
| ~ sdtlseqdt0(sK3(sz00,xl),sz00) ),
inference(superposition,[status(thm)],[c_248475,c_276002]) ).
tcf(c_276020,plain,
( sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(sK3(sz00,xm))
| ~ sdtlseqdt0(sK3(sz00,xm),sz00) ),
inference(superposition,[status(thm)],[c_248474,c_276002]) ).
tcf(c_276021,plain,
( sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(sK3(sz00,xn))
| ~ sdtlseqdt0(sK3(sz00,xn),sz00) ),
inference(superposition,[status(thm)],[c_248473,c_276002]) ).
tcf(c_276024,plain,
( sdtlseqdt0(sK2,xp)
| ~ aNaturalNumber0(sK3(sz00,sK2))
| ~ sdtlseqdt0(sK3(sz00,sK2),sz00) ),
inference(superposition,[status(thm)],[c_248469,c_276002]) ).
tcf(c_276026,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),xp)
| ~ aNaturalNumber0(sK3(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK3(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_249073,c_276002]) ).
tcf(c_276035,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_268873,c_276002]) ).
tcf(c_276036,plain,
( sdtlseqdt0(sdtpldt0(xn,sK2),xp)
| ~ aNaturalNumber0(sdtpldt0(xn,sK2))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(superposition,[status(thm)],[c_269126,c_276002]) ).
tcf(c_276039,plain,
( sdtlseqdt0(sdtpldt0(xq,sK2),xp)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(superposition,[status(thm)],[c_274988,c_276002]) ).
tcf(c_276040,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1)) ),
inference(superposition,[status(thm)],[c_276002,c_112]) ).
tcf(c_276043,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(sz00,X0),xp)),xp) = sK3(sdtpldt0(sz00,X0),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_276002,c_249177]) ).
tcf(c_276045,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_276002,c_113]) ).
tcf(c_276046,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),sK3(sdtpldt0(sz00,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_276002,c_76]) ).
tcf(c_276047,plain,
( sdtlseqdt0(sK2,xp)
| ~ sdtlseqdt0(sK2,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276017,c_65]) ).
tcf(c_276050,plain,
( sdtlseqdt0(xn,xp)
| ~ sdtlseqdt0(xn,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276014,c_51]) ).
tcf(c_276065,plain,
( sdtlseqdt0(sdtpldt0(xq,sK2),xp)
| ~ sdtlseqdt0(sdtpldt0(xq,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276039,c_274176]) ).
tcf(c_276068,plain,
( sdtlseqdt0(sdtpldt0(xn,sK2),xp)
| ~ sdtlseqdt0(sdtpldt0(xn,sK2),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276036,c_269050]) ).
tcf(c_276071,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276035,c_268778]) ).
tcf(c_276077,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),sK3(sdtpldt0(sz00,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276046,c_59]) ).
tcf(c_276082,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276045,c_59]) ).
tcf(c_276088,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276040,c_59]) ).
tcf(c_276095,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,sK3(sdtpldt0(sz00,X0),xp)),xp) = sK3(sdtpldt0(sz00,X0),xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_276043,c_59]) ).
tcf(c_276208,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_276095,c_276088,c_276082,c_276077,c_276071,c_276068,c_276065,c_276050,c_276047,c_276046,c_276045,c_276043,c_276040,c_276039,c_276036,c_276035,c_276026,c_276024,c_276021,c_276020,c_276019,c_276017,c_276014,c_276002,c_275849,c_275848,c_275838,c_275829,c_275821,c_275800,c_275799,c_275784,c_275778,c_275772,c_275766,c_275760,c_275754,c_275748,c_275742,c_275736,c_275730,c_275724,c_275718,c_275712,c_275706,c_275700,c_275692,c_275641,c_275640,c_275634,c_275633,c_275632,c_275631,c_275630,c_275629,c_275628,c_275627,c_275609,c_275603,c_275597,c_275591,c_275590,c_275589,c_275588,c_275586,c_275583,c_275581,c_275580,c_275579,c_275578,c_275577,c_275576,c_275575,c_275574,c_275573,c_275572,c_275571,c_275570,c_275569,c_275568,c_275567,c_275566,c_275565,c_275564,c_275563,c_275562,c_275561,c_275560,c_275559,c_275558,c_275557,c_275556,c_275555,c_275554,c_275553,c_275552,c_275551,c_275550,c_275549,c_275548,c_275547,c_275546,c_275545,c_275544,c_275543,c_275542,c_275540,c_275537,c_275536,c_275535,c_275534,c_275533,c_275530,c_275529,c_275528,c_275511,c_275503,c_275497,c_275495,c_275496,c_275413,c_275402,c_275401,c_275400,c_275399,c_275398,c_275396,c_275395,c_275394,c_275393,c_275392,c_275375,c_275363,c_275332,c_275326,c_275321,c_275316,c_275286,c_275285,c_275284,c_275271,c_275270,c_275269,c_275232,c_275229,c_275213,c_275212,c_275188,c_275158,c_275134,c_275113,c_275102,c_275100,c_275067,c_275053,c_275052,c_275051,c_274839,c_274833,c_274812,c_274806,c_274801,c_274795,c_274790,c_274785,c_274784,c_274783,c_274782,c_274781,c_274779,c_274778,c_274777,c_274775,c_274776,c_274780,c_274764,c_274758,c_274756,c_274757,c_274711,c_274702,c_274701,c_274700,c_274699,c_274698,c_274697,c_274696,c_274695,c_274693,c_274692,c_274683,c_274674,c_274668,c_274666,c_274667,c_274580,c_274569,c_274568,c_274567,c_274566,c_274565,c_274563,c_274562,c_274561,c_274560,c_274559,c_274460,c_274458,c_274459,c_274398,c_274387,c_274386,c_274385,c_274384,c_274383,c_274381,c_274380,c_274379,c_274378,c_274377,c_274360,c_274358,c_274359,c_274303,c_274292,c_274291,c_274290,c_274289,c_274288,c_274286,c_274285,c_274284,c_274283,c_274282,c_274232,c_274225,c_274201,c_274184,c_274163,c_274162,c_274161,c_274160,c_274023,c_274007,c_273937,c_273930,c_273929,c_273863,c_273833,c_273815,c_273810,c_273806,c_273797,c_273790,c_273789,c_273761,c_273759,c_273760,c_273704,c_273693,c_273692,c_273691,c_273690,c_273689,c_273687,c_273686,c_273685,c_273684,c_273683,c_273524,c_273519,c_273514,c_273509,c_273504,c_273499,c_273494,c_273489,c_273484,c_273479,c_273474,c_273469,c_273429,c_273424,c_273419,c_273414,c_273409,c_273404,c_273403,c_273402,c_273401,c_273400,c_273399,c_273397,c_273396,c_273395,c_273394,c_273393,c_273392,c_273391,c_273390,c_273389,c_273388,c_273387,c_273386,c_273385,c_273384,c_273382,c_273381,c_273380,c_273379,c_273378,c_273377,c_273376,c_273375,c_273374,c_273373,c_273372,c_273371,c_273370,c_273369,c_273352,c_273322,c_273313,c_273305,c_273298,c_273250,c_273249,c_273248,c_273246,c_273245,c_273243,c_273242,c_273237,c_273236,c_273235,c_273234,c_273233,c_273231,c_273230,c_273147,c_273135,c_273131,c_273132,c_273003,c_272987,c_272969,c_272966,c_272950,c_272949,c_272939,c_272929,c_272884,c_272878,c_272873,c_272843,c_272842,c_272829,c_272828,c_272827,c_272825,c_272811,c_272806,c_272793,c_272786,c_272785,c_272721,c_272716,c_272704,c_272702,c_272699,c_272685,c_272680,c_272667,c_272658,c_272653,c_272641,c_272639,c_272614,c_272474,c_272467,c_272443,c_272411,c_272410,c_272409,c_272393,c_272392,c_272294,c_272281,c_272269,c_272257,c_272245,c_272236,c_272218,c_272176,c_271993,c_271979,c_271963,c_271962,c_271960,c_271958,c_271916,c_271865,c_271767,c_271760,c_271726,c_271685,c_271684,c_271683,c_271159,c_271151,c_271150,c_271149,c_271140,c_271119,c_271097,c_271096,c_271095,c_271093,c_271081,c_271064,c_271059,c_271054,c_271049,c_271032,c_271031,c_271020,c_271018,c_271017,c_271007,c_271004,c_270955,c_270949,c_270948,c_270945,c_270940,c_270939,c_270934,c_270926,c_270920,c_270916,c_270889,c_270883,c_270870,c_270869,c_270868,c_270866,c_270860,c_270859,c_270788,c_270767,c_270745,c_270744,c_270743,c_270741,c_270729,c_270696,c_270690,c_270686,c_270659,c_270653,c_270640,c_270639,c_270638,c_270633,c_270628,c_270571,c_270546,c_270483,c_270478,c_270457,c_270452,c_270447,c_270439,c_270436,c_270434,c_270433,c_270429,c_270428,c_270426,c_270423,c_270420,c_270322,c_270309,c_270308,c_270307,c_270306,c_270305,c_270304,c_270298,c_270297,c_270296,c_270295,c_270294,c_270293,c_270292,c_270291,c_270290,c_270289,c_270288,c_270285,c_270284,c_270287,c_270271,c_270075,c_270074,c_270073,c_270072,c_270071,c_270070,c_270069,c_270068,c_270067,c_270066,c_270065,c_270056,c_270054,c_270053,c_270052,c_270051,c_270050,c_270049,c_270041,c_269905,c_269904,c_269903,c_269902,c_269901,c_269900,c_269899,c_269898,c_269889,c_269887,c_269886,c_269885,c_269884,c_269883,c_269882,c_269874,c_269858,c_269856,c_269842,c_269838,c_269825,c_269819,c_269807,c_269804,c_269788,c_269787,c_269710,c_269680,c_269670,c_269649,c_269638,c_269636,c_269616,c_269586,c_269532,c_269511,c_269500,c_269498,c_269495,c_269391,c_269390,c_269389,c_269388,c_269387,c_269386,c_269385,c_269384,c_269383,c_269382,c_269381,c_269379,c_269369,c_269300,c_269298,c_269297,c_269296,c_269295,c_269294,c_269293,c_269291,c_269280,c_269267,c_269260,c_269254,c_269249,c_269248,c_269247,c_269245,c_269242,c_269224,c_269219,c_269206,c_269197,c_269192,c_269180,c_269178,c_269153,c_269102,c_269095,c_269071,c_269037,c_269036,c_269035,c_268914,c_268849,c_268842,c_268807,c_268803,c_268774,c_268760,c_268759,c_268758,c_268718,c_268706,c_268705,c_268701,c_268694,c_268690,c_268689,c_268685,c_268684,c_268683,c_268682,c_268681,c_268679,c_268678,c_268677,c_268676,c_268660,c_268659,c_268654,c_268104,c_268097,c_268073,c_268043,c_268042,c_268041,c_267891,c_267886,c_267746,c_267736,c_267726,c_267721,c_267694,c_267679,c_267678,c_267677,c_267675,c_267670,c_267607,c_267602,c_267595,c_267589,c_267584,c_267577,c_267576,c_267575,c_267574,c_267572,c_267571,c_267569,c_267554,c_267553,c_267547,c_267538,c_267528,c_267518,c_267513,c_267486,c_267471,c_267470,c_267469,c_267435,c_267409,c_267407,c_267372,c_267310,c_267307,c_267302,c_267298,c_267295,c_267291,c_267290,c_270310,c_267287,c_267286,c_267285,c_267283,c_267280,c_267251,c_267249,c_267232,c_267135,c_267128,c_267104,c_267082,c_267081,c_267080,c_267064,c_267041,c_267034,c_267010,c_266988,c_266987,c_266986,c_266965,c_266863,c_266862,c_266850,c_266846,c_266840,c_266835,c_266831,c_266825,c_266823,c_266822,c_266821,c_266820,c_266819,c_266818,c_266816,c_266745,c_266741,c_266735,c_266730,c_266726,c_266720,c_266719,c_266718,c_266717,c_266715,c_266714,c_266712,c_266700,c_266696,c_266690,c_266685,c_266681,c_266675,c_266670,c_266669,c_266668,c_266667,c_266666,c_266665,c_266664,c_266662,c_266623,c_266616,c_266582,c_266541,c_266540,c_266539,c_266533,c_266529,c_266528,c_266524,c_266521,c_266520,c_266519,c_266518,c_266516,c_266515,c_266514,c_266513,c_266497,c_266496,c_266491,c_266282,c_266275,c_266251,c_266221,c_266220,c_266219,c_266083,c_266064,c_266063,c_266062,c_266061,c_266060,c_266059,c_266058,c_266057,c_266051,c_266050,c_266044,c_266043,c_266042,c_266041,c_266040,c_266034,c_266033,c_266032,c_266031,c_266030,c_266029,c_266028,c_266027,c_266026,c_266025,c_266024,c_266021,c_266020,c_266023,c_265997,c_265990,c_265989,c_265975,c_265943,c_265934,c_265921,c_265915,c_265787,c_265779,c_265770,c_265761,c_265750,c_265742,c_265733,c_265725,c_265717,c_265709,c_265701,c_265693,c_265685,c_265677,c_265664,c_265662,c_265660,c_265658,c_265656,c_265655,c_265654,c_265653,c_265652,c_265651,c_265650,c_265649,c_265648,c_265647,c_265646,c_265645,c_265644,c_265641,c_265640,c_265639,c_265638,c_265637,c_265636,c_265635,c_265628,c_265624,c_265596,c_265584,c_265503,c_265496,c_265488,c_265477,c_265469,c_265461,c_265454,c_265447,c_265440,c_265432,c_265424,c_265416,c_265409,c_265397,c_265395,c_265393,c_265391,c_265389,c_265387,c_265386,c_265385,c_265384,c_265383,c_265382,c_265381,c_265380,c_265379,c_265378,c_265377,c_265376,c_265374,c_265366,c_265365,c_265364,c_265363,c_265362,c_265361,c_265356,c_265328,c_265316,c_265313,c_265297,c_265254,c_265238,c_265219,c_265203,c_265186,c_265179,c_265178,c_265092,c_265082,c_265072,c_265067,c_265040,c_265025,c_265024,c_265023,c_264907,c_264899,c_264887,c_264880,c_264870,c_264862,c_264854,c_264846,c_264838,c_264831,c_264824,c_264817,c_264809,c_264802,c_264795,c_264788,c_264781,c_264774,c_264764,c_264759,c_264758,c_264756,c_264755,c_264753,c_264751,c_264749,c_264746,c_264745,c_264741,c_264740,c_264739,c_264738,c_264737,c_264735,c_264732,c_264731,c_264730,c_264727,c_264725,c_264724,c_264723,c_264721,c_264696,c_264685,c_264595,c_264587,c_264579,c_264571,c_264561,c_264554,c_264547,c_264538,c_264530,c_264522,c_264514,c_264506,c_264499,c_264492,c_264485,c_264478,c_264471,c_264464,c_264457,c_264450,c_264443,c_264436,c_264426,c_264421,c_264420,c_264418,c_264417,c_264415,c_264413,c_264411,c_264408,c_264407,c_264403,c_264402,c_264401,c_264400,c_264399,c_264397,c_264394,c_264393,c_264392,c_264389,c_264387,c_264386,c_264385,c_264383,c_264358,c_264347,c_264341,c_264337,c_264326,c_264148,c_264110,c_264105,c_264043,c_264016,c_264002,c_264000,c_263995,c_263690,c_263667,c_263640,c_263638,c_263622,c_263610,c_263608,c_263595,c_263522,c_263521,c_263511,c_263510,c_263505,c_263504,c_263499,c_263498,c_263493,c_263492,c_263487,c_263486,c_263481,c_263480,c_263475,c_263474,c_263469,c_263468,c_263463,c_263462,c_263455,c_263454,c_263453,c_263452,c_263451,c_263450,c_263449,c_263448,c_263447,c_263446,c_263443,c_263442,c_263445,c_263425,c_263424,c_263419,c_263418,c_263413,c_263412,c_263402,c_263401,c_263396,c_263395,c_263390,c_263389,c_263384,c_263383,c_263378,c_263377,c_263372,c_263371,c_263366,c_263365,c_263360,c_263359,c_263354,c_263353,c_263349,c_263348,c_263345,c_263344,c_263343,c_263342,c_263341,c_263340,c_263339,c_263338,c_263337,c_263336,c_263335,c_263334,c_263333,c_263332,c_263252,c_263250,c_263241,c_263117,c_263112,c_263106,c_263098,c_263092,c_263087,c_26308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254612,c_254609,c_254606,c_253341,c_253333,c_253326,c_253290,c_253289,c_253286,c_253284,c_253281,c_253277,c_253197,c_253187,c_253186,c_253185,c_254617,c_253182,c_253181,c_253184,c_253128,c_253302,c_253118,c_253282,c_253117,c_253116,c_253279,c_253115,c_252994,c_252990,c_252987,c_252986,c_252985,c_252982,c_252896,c_252892,c_252889,c_252888,c_252887,c_252884,c_251420,c_251415,c_251404,c_251344,c_251309,c_251249,c_251220,c_251215,c_251210,c_251205,c_251200,c_251195,c_251190,c_251185,c_251180,c_251175,c_251170,c_251165,c_251160,c_251155,c_251150,c_251145,c_251140,c_251135,c_251130,c_251125,c_251120,c_251115,c_251110,c_251105,c_251100,c_251095,c_251090,c_251085,c_251080,c_251075,c_251074,c_251073,c_251072,c_251070,c_251065,c_251055,c_251054,c_251053,c_251052,c_251051,c_251050,c_251049,c_251048,c_251047,c_251046,c_251045,c_251044,c_251043,c_251041,c_251040,c_251039,c_251038,c_251033,c_251023,c_251022,c_251021,c_251020,c_251019,c_251018,c_251017,c_251016,c_251015,c_251014,c_251013,c_251012,c_251011,c_251009,c_251008,c_251007,c_251006,c_250311,c_250310,c_250309,c_250308,c_250307,c_250306,c_250305,c_250304,c_250303,c_250302,c_250301,c_250300,c_250299,c_250207,c_250206,c_250205,c_250204,c_250203,c_250202,c_250201,c_250200,c_250199,c_250198,c_250197,c_250196,c_250195,c_250124,c_250119,c_250116,c_250113,c_250112,c_250111,c_250110,c_250109,c_250108,c_250107,c_250106,c_250105,c_250103,c_250102,c_250101,c_249563,c_249792,c_250587,c_249225,c_249223,c_249442,c_249671,c_252872,c_252868,c_252865,c_252864,c_252863,c_252860,c_249077,c_249074,c_249073,c_249072,c_249071,c_249070,c_248867,c_248688,c_248687,c_248838,c_250060,c_250031,c_250026,c_250025,c_250024,c_250019,c_249996,c_249995,c_249796,c_249752,c_249738,c_249734,c_249730,c_249726,c_249722,c_249718,c_249714,c_249710,c_249706,c_249702,c_249698,c_249694,c_249690,c_249686,c_249682,c_249678,c_249670,c_249669,c_249668,c_249667,c_249666,c_249665,c_249664,c_249663,c_249662,c_249661,c_249660,c_249659,c_249657,c_249656,c_249655,c_249654,c_249567,c_249523,c_249509,c_249505,c_249501,c_249497,c_249493,c_249489,c_249485,c_249481,c_249477,c_249473,c_249469,c_249465,c_249461,c_249457,c_249453,c_249449,c_249441,c_249440,c_249439,c_249438,c_249437,c_249436,c_249435,c_249434,c_249433,c_249432,c_249431,c_249430,c_249428,c_249427,c_249426,c_249425,c_249272,c_249271,c_249270,c_249269,c_249268,c_249267,c_249266,c_249265,c_249264,c_249263,c_249262,c_249261,c_249260,c_248744,c_248742,c_250649,c_250646,c_250644,c_250600,c_250581,c_250578,c_250575,c_250572,c_250557,c_250555,c_250554,c_250553,c_250551,c_250549,c_250547,c_250546,c_250545,c_249973,c_249968,c_249965,c_249964,c_249963,c_249925,c_249920,c_249916,c_249914,c_249913,c_249912,c_249160,c_249154,c_249149,c_249145,c_249140,c_249136,c_249135,c_249134,c_249133,c_249131,c_249130,c_249129,c_249119,c_249116,c_248429,c_248426,c_249009,c_249008,c_249007,c_249006,c_249005,c_249004,c_249003,c_249002,c_249001,c_249000,c_248999,c_248998,c_248997,c_248972,c_248962,c_248958,c_248954,c_248950,c_248946,c_248942,c_248938,c_248932,c_248931,c_248930,c_248929,c_248928,c_248927,c_248926,c_248919,c_248915,c_248914,c_248917,c_248871,c_248863,c_248859,c_248855,c_248851,c_248847,c_248843,c_248839,c_248837,c_248836,c_248835,c_248834,c_248833,c_248832,c_248831,c_248829,c_248828,c_248526,c_248524,c_248401,c_248398,c_248525,c_248517,c_248528,c_248522,c_248781,c_248765,c_248764,c_248762,c_248761,c_248760,c_248759,c_248758,c_248757,c_248756,c_248755,c_248754,c_248753,c_248669,c_248668,c_248665,c_248662,c_248659,c_248655,c_248650,c_248649,c_248648,c_248646,c_248645,c_248644,c_248637,c_248633,c_248632,c_248563,c_248562,c_248561,c_248560,c_248559,c_248558,c_248533,c_248532,c_248531,c_248530,c_248529,c_248527,c_248523,c_248521,c_248520,c_248519,c_248518,c_248516,c_248515,c_248278,c_248276,c_248275,c_248273,c_248265,c_248263,c_248484,c_248475,c_248474,c_248473,c_248472,c_248471,c_248470,c_248469,c_248465,c_248464,c_248463,c_248462,c_248461,c_248460,c_248459,c_248457,c_248456,c_248455,c_248454,c_248453,c_248452,c_248451,c_248450,c_248449,c_248448,c_248447,c_248446,c_248445,c_248444,c_248443,c_248442,c_248441,c_248440,c_248439,c_248438,c_248394,c_248391,c_248377,c_248376,c_248364,c_248350,c_248349,c_248329,c_248268,c_248266,c_248262,c_248260,c_248257,c_248255,c_248115,c_248113,c_248102,c_248100,c_248103,c_248099,c_248292,c_248291,c_248290,c_248289,c_248288,c_248287,c_248243,c_248215,c_248214,c_248213,c_248212,c_248211,c_248210,c_248209,c_248208,c_248207,c_248206,c_248244,c_248172,c_248171,c_248170,c_248169,c_248168,c_248167,c_248166,c_248165,c_248164,c_248163,c_248140,c_248139,c_248138,c_248137,c_248128,c_248124,c_248112,c_248111,c_248110,c_248109,c_248108,c_248107,c_248106,c_248105,c_248104,c_248101,c_248098,c_248097,c_248096,c_248095,c_248094,c_248093,c_248092,c_248091,c_248090,c_248061,c_248060,c_248059,c_248058,c_248013,c_248012,c_248248,c_248247,c_248246,c_248245,c_248038,c_248037,c_248036,c_248035,c_248034,c_248021,c_248010,c_248009,c_248008,c_248007,c_248006,c_248005,c_248000,c_247999,c_247998,c_247997,c_247996,c_247995,c_247994,c_247988,c_247987,c_247986,c_247985,c_247984,c_247983,c_247978,c_247977,c_247976,c_247975,c_247974,c_247973,c_247972,c_546,c_545,c_544,c_543,c_542,c_155,c_148,c_145,c_248089,c_113,c_112,c_111,c_114,c_109,c_108,c_106,c_105,c_104,c_102,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_92,c_90,c_88,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_73,c_71,c_69,c_68,c_65,c_63,c_62,c_61,c_60,c_59,c_58,c_55,c_54,c_53,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM473+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 04:10:48 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 64.21/12.97 % SZS status Started for theBenchmark.p
% 64.21/12.97 % SZS status Theorem for theBenchmark.p
% 64.21/12.97
% 64.21/12.97 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 64.21/12.97
% 64.21/12.97 % ------ iProver source info
% 64.21/12.97
% 64.21/12.97 % git: date: 2026-07-19 20:42:38 +0200
% 64.21/12.97 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 64.21/12.97 % git: non_committed_changes: false
% 64.21/12.97
% 64.21/12.97 % ------ Parsing...
% 64.21/12.97 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 64.21/12.97
% 64.21/12.97 % ------ Preprocessing... sup_sim: 5 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 %
% 64.21/12.97
% 64.21/12.97 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 64.21/12.97
% 64.21/12.97 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 64.21/12.97 % ------ Proving...
% 64.21/12.97 % ------ Problem Properties
% 64.21/12.97
% 64.21/12.97 %
% 64.21/12.97 % clauses 61
% 64.21/12.97 % conjectures 2
% 64.21/12.97 % EPR 17
% 64.21/12.97 % Horn 49
% 64.21/12.97 % unary 21
% 64.21/12.97 % binary 6
% 64.21/12.97 % lits 189
% 64.21/12.97 % lits eq 51
% 64.21/12.97 % fd_pure 0
% 64.21/12.97 % fd_pseudo 0
% 64.21/12.97 % fd_cond 5
% 64.21/12.97 % fd_pseudo_cond 9
% 64.21/12.97 % AC symbols 0
% 64.21/12.97
% 64.21/12.97 % ------ Schedule dynamic 5 is on
% 64.21/12.97
% 64.21/12.97 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 64.21/12.97
% 64.21/12.97
% 64.21/12.97 % ------
% 64.21/12.97 % Current options:
% 64.21/12.97 % ------
% 64.21/12.97
% 64.21/12.97
% 64.21/12.97 %
% 64.21/12.97
% 64.21/12.97 % ------ Proving...
% 64.21/12.97 % Proof_search_loop: time out after: 5367 full_loop iterations
% 64.21/12.97
% 64.21/12.97 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 64.21/12.97
% 64.21/12.97
% 64.21/12.97 % ------
% 64.21/12.97 % Current options:
% 64.21/12.97 % ------
% 64.21/12.97
% 64.21/12.97
% 64.21/12.97 %
% 64.21/12.97
% 64.21/12.97 % ------ Proving...
% 64.21/12.97 %
% 64.21/12.97
% 64.21/12.97 % SZS status Theorem for theBenchmark.p
% 64.21/12.97
% 64.21/12.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 87.09/13.04
% 87.09/13.04
%------------------------------------------------------------------------------